From 847f848dac6f11de917924e8b50370f3d84bfacb Mon Sep 17 00:00:00 2001 From: jvpcms Date: Sun, 22 Mar 2026 20:32:00 -0300 Subject: [PATCH 01/11] TenSolver Stochastic Benchmark example --- examples/TenSolver/TenSolver.ipynb | 1046 +++++++++++++++++ .../Projection from TrainingResults.csv | 42 + .../Projection from TrainingStats.csv | 42 + .../checkpoints/params_plotting/baseline.csv | 42 + .../Projection from TrainingResults.csv | 42 + .../Projection from TrainingStats.csv | 42 + .../performance_plotting/baseline.csv | 42 + examples/TenSolver/iteration.png | Bin 0 -> 206956 bytes examples/TenSolver/performance.png | Bin 0 -> 133256 bytes .../TenSolver/results/energy_history.json | 1 + examples/TenSolver/results/gurobi_best.json | 117 ++ .../TenSolver/results/random_baseline.json | 1 + examples/TenSolver/samples.png | Bin 0 -> 147847 bytes 13 files changed, 1417 insertions(+) create mode 100644 examples/TenSolver/TenSolver.ipynb create mode 100644 examples/TenSolver/checkpoints/params_plotting/Projection from TrainingResults.csv create mode 100644 examples/TenSolver/checkpoints/params_plotting/Projection from TrainingStats.csv create mode 100644 examples/TenSolver/checkpoints/params_plotting/baseline.csv create mode 100644 examples/TenSolver/checkpoints/performance_plotting/Projection from TrainingResults.csv create mode 100644 examples/TenSolver/checkpoints/performance_plotting/Projection from TrainingStats.csv create mode 100644 examples/TenSolver/checkpoints/performance_plotting/baseline.csv create mode 100644 examples/TenSolver/iteration.png create mode 100644 examples/TenSolver/performance.png create mode 100644 examples/TenSolver/results/energy_history.json create mode 100644 examples/TenSolver/results/gurobi_best.json create mode 100644 examples/TenSolver/results/random_baseline.json create mode 100644 examples/TenSolver/samples.png diff --git a/examples/TenSolver/TenSolver.ipynb b/examples/TenSolver/TenSolver.ipynb new file mode 100644 index 00000000..b2485dc7 --- /dev/null +++ b/examples/TenSolver/TenSolver.ipynb @@ -0,0 +1,1046 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "d2ce717d", + "metadata": {}, + "source": [ + "## TenSolver\n", + "\n", + "[TenSolver](https://github.com/SECQUOIA/TenSolver.jl) is a quantum-inspired optimization algorithm that solves Quadratic Unconstrained Binary Optimization (QUBO) problems. We will briefly go over the mechanism behind the algorithm.\n", + "\n", + "### QUBO\n", + "\n", + "A QUBO is a problem of the form\n", + "$$\n", + "\\min_{x \\in \\mathbb{B}^N} \\: x^\\top Q x \\: = \\: \\min_{x \\in \\mathbb{B}^N} \\: \\sum_{i \\ge j} Q_{ij} x_i x_j \n", + "$$\n", + "\n", + "where $Q \\in \\R^{N \\times N}$ is a real matrix, $x$ is the binary decision variables vector, and we write $\\mathbb{B} = \\{0,\\,1\\}$.\n", + "\n", + "### Hamiltonian Equivalence\n", + "\n", + "A QUBO problem can be reformulated as an eigenvalue problem.\n", + "This reformulation consists of representing the QUBO as a 1D quantum system with as many particles as dimensions in the QUBO.\n", + "In this format, each solution is a state of the particles in the system.\n", + "Solving the QUBO consists of finding the ground state of said Hamiltonian.\n", + "Essentially, we are rewriting a discrete optimization problem with binary variables as a continuous problem with complex variables.\n", + "\n", + "Even though we made this shift, the problem is still fully solved in a classical setting. \n", + "We use tensors to represent both the Hamiltonian and the system states.\n", + "The issue is that those tensors are extremely large and difficult to work with. \n", + "\n", + "### Tensor Networks\n", + "\n", + "Thankfully, we can use a mathematical tool called Tensor Network (TN) to represent the larger instances in a more manageable way.\n", + "These objects consist of products or contractions between tensors of different ranks (dimensions).\n", + "With this tool, the operators (QUBO instances) are represented as Matrix Product Operators (MPOs), products of rank-4 tensors. \n", + "While the states (QUBO solutions) are represented as Matrix Product States (MPSs), products of rank-3 tensors.\n", + "\n", + "The problem now consists of finding an MPS that, when contracted with the MPO, results in the smallest value.\n", + "\n", + "### DMRG\n", + "\n", + "DMRG is an algorithm that does precisely that. \n", + "It approximates the ground state of a Hamiltonian in an iterative way, and it works with the tensor network representation of these objects.\n", + "\n", + "### TenSolver\n", + "\n", + "Finally, the TenSolver algorithm works by:\n", + "\n", + "- Finding the MPO representation of the QUBO problem.\n", + "- Applying DMRG consecutively with a random initial MPS, getting better approximations each time.\n", + "- Sampling solutions according to the final state and calculating the objective value.\n", + "\n", + "The implementation is built on top of the [ITensors.jl](https://docs.itensor.org/Overview/) package." + ] + }, + { + "cell_type": "markdown", + "id": "ab3fd2ef", + "metadata": {}, + "source": [ + "## Problem Instances\n", + "\n", + "The problem instances used in this example were extracted from the [QUBOLib benchmark](https://github.com/JuliaQUBO/QUBOLib.jl), more specifically, the QpLib subset. \n", + "It includes instances 308 to 330 and their number of variables varies from 120 to 1225.\n", + "\n", + "| **Instance** | 308 | 309 | 310 | 311 | 312 | 313 | 314 | 315 | 316 | 317 | 318 | 319 |\n", + "| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n", + "| **Dimension** | 496 | 276 | 1035 | 946 | 1128 | 378 | 703 | 435 | 325 | 861 | 561 | 780 |\n", + "\n", + "
\n", + "\n", + "| **Instance** | 320 | 321 | 322 | 323 | 324 | 325 | 326 | 327 | 328 | 329 | 330 |\n", + "| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n", + "| **Dimension** | 1225 | 231 | 630 | 300 | 343 | 400 | 200 | 120 | 150 | 250 | 500 |\n", + "\n", + "Each instance's data is comprised of 1000 energy samples extracted at each DMRG iteration.\n", + "Those instances were solved on a 6-core CPU (mention model) using the following set of parameters in TenSolver:\n", + "\n", + "```julia\n", + "n, L, Q, a, b = QUBOTools.qubo(qubo_model, :sparse; sense = :min)\n", + "println(\"Instance size: n=$n\")\n", + "\n", + "local E, psi, elapsed_time\n", + "hist = TenSolver.IterationSnapshot[]\n", + "\n", + "results = @timed TenSolver.minimize(\n", + " Q, L, b;\n", + " device = identity,\n", + " time_limit = 900,\n", + " vtol = 0.0,\n", + " iterations = 50,\n", + " cutoff = 1e-3,\n", + " maxdim = [4, 4, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10],\n", + " mindim = 4,\n", + " noise = [\n", + " 1e-2, 1e-2, 1e-2, 1e-2, \n", + " 1e-2, 1e-3, 1e-3, 1e-3, \n", + " 1e-4, 1e-5, 1e-6, 0.0\n", + " ],\n", + " check_variance_every_iteration = 5,\n", + " verbosity = 1,\n", + " eigsolve_tol = 1e-6,\n", + " eigsolve_krylovdim = 2,\n", + " history = hist,\n", + ")\n", + "E, psi = results.value\n", + "elapsed_time = results.time\n", + "\n", + "```\n", + "\n", + "Compared to the default values of the solver, here we used larger noise values and a smaller maximum dimension. \n", + "This choice was made to keep the energy distribution spread over more iterations during the solve process, as the default parameters frequently cause early convergence.\n", + "\n", + "Here is a summary of the data:\n", + "\n", + "| **Instance** | 308 | 309 | 310 | 311 | 312 | 313 | 314 | 315 | 316 | 317 | 318 | 319 | 320 | 321 |\n", + "| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n", + "| **Objective** | -724 | -388 | -1458 | -1368 | -1618 | -524 | -1014 | -608 | -466 | -1208 | -784 | -1146 | -1786 | -312 |\n", + "| **Iterations** | 5 | 3 | 5 | 5 | 5 | 4 | 4 | 3 | 2 | 5 | 3 | 4 | 5 | 3 |\n", + "\n", + "
\n", + "\n", + "| **Instance** | 322 | 323 | 324 | 325 | 326 | 327 | 328 | 329 | 330 |\n", + "| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n", + "| **Objective** | -922 | -2.396e+07 | -7.169e+07 | -6.784e+07 | -8.586e+04 | -2.487e+04 | -4.984e+04 | -6.803e+04 | -2.556e+05 |\n", + "| **Iterations** | 4 | 42 | 15 | 22 | 48 | 13 | 10 | 6 | 21 |\n", + "\n", + "*Note:* The table shows the iterations up until which there were changes in the objective value or energy distributions, not necessarily all iterations the algorithm performed." + ] + }, + { + "cell_type": "markdown", + "id": "896592b0", + "metadata": {}, + "source": [ + "## Natural Questions\n", + "\n", + "Let's gain some intuition on the data by observing how the energy distribution evolves over the iterations. " + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "1v5cqytvnhf", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import json\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib.colors import LogNorm, LinearSegmentedColormap\n", + "\n", + "with open(\"results/energy_history.json\") as f:\n", + " all_data = json.load(f)\n", + "\n", + "instance = \"323\"\n", + "data = all_data[instance]\n", + "\n", + "iterations = [entry[\"iteration\"] for entry in data]\n", + "all_energies = [entry[\"energies\"] for entry in data]\n", + "\n", + "n_bins = 80\n", + "all_flat = [e for energies in all_energies for e in energies]\n", + "bins = np.linspace(min(all_flat), max(all_flat), n_bins + 1)\n", + "\n", + "matrix = np.array([np.histogram(energies, bins=bins)[0] for energies in all_energies]).T\n", + "\n", + "blue_to_red = LinearSegmentedColormap.from_list(\"blue_red\", [\"blue\", \"red\"])\n", + "\n", + "fig, ax = plt.subplots(figsize=(14, 6))\n", + "\n", + "im = ax.imshow(\n", + " matrix,\n", + " aspect=\"auto\",\n", + " origin=\"lower\",\n", + " norm=LogNorm(vmin=1, vmax=matrix.max()),\n", + " cmap=blue_to_red,\n", + " interpolation=\"nearest\",\n", + " extent=[iterations[0] - 0.5, iterations[-1] + 0.5, bins[0], bins[-1]],\n", + ")\n", + "\n", + "n_yticks = 6\n", + "ytick_vals = np.linspace(bins[0], bins[-1], n_yticks)\n", + "ax.set_yticks(ytick_vals)\n", + "ax.set_yticklabels([f\"{int(v)}\" for v in ytick_vals], fontsize=9)\n", + "\n", + "ax.set_xlabel(\"Iteration\")\n", + "ax.set_ylabel(\"Energy\")\n", + "ax.set_title(f\"Instance {instance} — Energy Distribution per DMRG Iteration\")\n", + "\n", + "fig.colorbar(im, ax=ax, label=\"Sample Count\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "6c36eda5", + "metadata": {}, + "source": [ + "This graph shows the amount of energy samples at each energy level, divided across DMRG iterations.\n", + "\n", + "You can see that there are two quantities at play here: the number of iterations and the number of energy samples at each iteration. \n", + "As the number of iterations increases, the number of unique energies decreases and the distribution becomes more concentrated. Although it eventually concentrates on a single value, this happens later than it initially appears.\n", + "\n", + "Since we are interested in getting the best possible objective value while ideally minimizing work, it is only natural to question how many iterations and how many samples are enough for our needs.\n", + "\n", + "That is the question we will try to gain insight into by applying Stochastic Benchmark." + ] + }, + { + "cell_type": "markdown", + "id": "22ecf151", + "metadata": {}, + "source": [ + "## Performance Metric\n", + "\n", + "We need our comparisons to have a common metric, which is why we are interested in the \"performance ratio\" metric. \n", + "In this particular problem, it is calculated as follows:\n", + "\n", + "- First, we sample a subset from the input space and calculate the associated energies. Specifically, we use 1000 random bitstrings in this case.\n", + "- The mean energy across the random sample is denoted as `random`.\n", + "- We also load the best energies found by the Gurobi solver using Branch and Bound. Since Gurobi proves optimality, we denote those values as `minimum`, though we also applied a 900-second time limit to the Gurobi runs.\n", + "- The performance ratio is calculated across an increasing number of iterations, where `found` is the best energy found at the current point in the algorithm's execution.\n", + "\n", + "$$\n", + "\\text{performance ratio} = \\frac{\\text{found} - \\text{random}}{\\text{minimum} - \\text{random}}\n", + "$$\n", + "\n", + "A performance ratio of 0 means the solver did not improve over the random baseline, while a ratio of 1 means it matched Gurobi's best known solution." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "e3c9bc46", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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random_meangurobi_best
instance
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324-115003.933-74347446
325157278.414-68476481
3263487.903-86899
327-489.928-25305
3284284.271-50321
3296463.065-71422
330-4674.083-256359
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" + ], + "text/plain": [ + " random_mean gurobi_best\n", + "instance \n", + "308 1.006 -806\n", + "309 -0.854 -440\n", + "310 -0.024 -1686\n", + "311 -0.842 -1542\n", + "312 0.182 -1844\n", + "313 0.002 -614\n", + "314 0.980 -1142\n", + "315 0.580 -688\n", + "316 0.200 -514\n", + "317 0.068 -1402\n", + "318 -0.594 -900\n", + "319 0.704 -1298\n", + "320 0.324 -2022\n", + "321 0.184 -362\n", + "322 -1.716 -1040\n", + "323 40188.760 -23964950\n", + "324 -115003.933 -74347446\n", + "325 157278.414 -68476481\n", + "326 3487.903 -86899\n", + "327 -489.928 -25305\n", + "328 4284.271 -50321\n", + "329 6463.065 -71422\n", + "330 -4674.083 -256359" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import sys, json, os\n", + "sys.path.append(\"../../src\")\n", + "import pandas as pd\n", + "\n", + "with open(\"results/random_baseline.json\") as f:\n", + " random_baseline_raw = json.load(f)\n", + "\n", + "with open(\"results/gurobi_best.json\") as f:\n", + " gurobi_best = json.load(f)\n", + "\n", + "# Map QPLIB ID (308-330) → baselines\n", + "# random_baseline.json uses QUBOLib IDs (5808-5830) → shift by 5500\n", + "# gurobi_best.json uses QPLIB IDs (308-330) directly\n", + "baselines = {}\n", + "for qplib_id in range(308, 331):\n", + " qubolib_key = str(qplib_id + 5500)\n", + " qplib_key = str(qplib_id)\n", + " if qubolib_key in random_baseline_raw and qplib_key in gurobi_best:\n", + " rb = random_baseline_raw[qubolib_key]\n", + " baselines[qplib_key] = {\n", + " \"random_value\": rb[\"random_mean\"],\n", + " \"best_value\": gurobi_best[qplib_key][\"best_objective\"],\n", + " }\n", + "\n", + "rows = [{\"instance\": k,\n", + " \"random_mean\": v[\"random_value\"],\n", + " \"gurobi_best\": v[\"best_value\"]}\n", + " for k, v in baselines.items()]\n", + "pd.DataFrame(rows).set_index(\"instance\")\n" + ] + }, + { + "cell_type": "markdown", + "id": "1603c5fa", + "metadata": {}, + "source": [ + "## Bootstrap\n", + "\n", + "One thing to notice is that, although we sampled 1000 energies at each iteration when solving the instances, we are interested in comparing performance across different numbers of samples.\n", + "\n", + "Bootstrapping allows us to statistically infer what those distributions would look like had we solved the instances with a different number of samples.\n", + "Here we will bootstrap the data for 1, 10, 100, and 1000 samples." + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "697610bc", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10/10 [00:00<00:00, 143.80it/s]\n", + "100%|██████████| 10/10 [00:00<00:00, 138.65it/s]\n", + "100%|██████████| 10/10 [00:00<00:00, 117.70it/s]\n", + "100%|██████████| 10/10 [00:00<00:00, 66.10it/s]\n", + "100%|██████████| 20/20 [00:00<00:00, 148.90it/s]\n", + "100%|██████████| 20/20 [00:00<00:00, 152.02it/s]\n", + "100%|██████████| 20/20 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instanceiterationKey=ResponseConfInt=lower_Key=ResponseConfInt=upper_Key=ResponseKey=PerfRatioConfInt=lower_Key=PerfRatioConfInt=upper_Key=PerfRatiobootssamples
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" + ], + "text/plain": [ + " instance iteration Key=Response ConfInt=lower_Key=Response \\\n", + "0 308 1 -656.810 -661.018320 \n", + "1 308 2 -691.944 -692.474769 \n", + "2 308 3 -717.696 -724.321477 \n", + "3 308 4 -722.026 -722.251292 \n", + "4 308 5 -724.000 -724.000000 \n", + "\n", + " ConfInt=upper_Key=Response Key=PerfRatio ConfInt=lower_Key=PerfRatio \\\n", + "0 -652.601680 0.815131 0.809917 \n", + "1 -691.413231 0.858668 0.858010 \n", + "2 -711.070523 0.890578 0.882368 \n", + "3 -721.800708 0.895944 0.895665 \n", + "4 -724.000000 0.898390 0.898390 \n", + "\n", + " ConfInt=upper_Key=PerfRatio boots samples \n", + "0 0.820346 1 1 \n", + "1 0.859325 1 1 \n", + "2 0.898788 1 1 \n", + "3 0.896223 1 1 \n", + "4 0.898390 1 1 " + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "import stochastic_benchmark as SB\n", + "import bootstrap\n", + "import success_metrics\n", + "\n", + "# PerfRatio.evaluate clips to upper=1.0 by default, masking any ratio > 1.\n", + "# TenSolver significantly outperforms random, so we remove the upper cap.\n", + "class PerfRatioUnclipped(success_metrics.PerfRatio):\n", + " def evaluate(self, bs_df, responses, resources):\n", + " super().evaluate(bs_df, responses, resources, lower=None, upper=None)\n", + "\n", + "# Load energy history (QPLIB IDs 308-330)\n", + "with open(\"results/energy_history.json\") as f:\n", + " all_data = json.load(f)\n", + "\n", + "def build_granular_df(instance_key, data):\n", + " rows = []\n", + " for entry in data:\n", + " n = len(entry[\"energies\"])\n", + " rows.append(pd.DataFrame({\n", + " \"instance\": [int(instance_key)] * n,\n", + " \"iteration\": [entry[\"iteration\"]] * n,\n", + " \"energy\": entry[\"energies\"],\n", + " \"resource\": np.ones(n, dtype=int),\n", + " }))\n", + " return pd.concat(rows, ignore_index=True)\n", + "\n", + "# Initialize stochastic_benchmark\n", + "sb = SB.stochastic_benchmark(\n", + " parameter_names=[\"iteration\", \"samples\"],\n", + " here=os.getcwd(),\n", + " instance_cols=[\"instance\"],\n", + " response_key=\"PerfRatio\",\n", + " response_dir=1,\n", + " smooth=True,\n", + " recover=False,\n", + " reduce_mem=False,\n", + ")\n", + "\n", + "sample_counts = [1, 10, 100, 1000]\n", + "\n", + "# Run bootstrap per instance with hardcoded baselines — avoids update_rule complexity\n", + "bs_results = []\n", + "for inst_key, data in all_data.items():\n", + " if inst_key not in baselines or data is None:\n", + " continue\n", + "\n", + " inst_df = build_granular_df(inst_key, data)\n", + " baseline = baselines[inst_key]\n", + "\n", + " bsParams = bootstrap.BootstrapParameters(\n", + " shared_args={\n", + " \"response_col\": \"energy\",\n", + " \"resource_col\": \"resource\",\n", + " \"random_value\": baseline[\"random_value\"],\n", + " \"best_value\": baseline[\"best_value\"],\n", + " \"confidence_level\": 68,\n", + " },\n", + " metric_args={\"Response\": {\"opt_sense\": -1}},\n", + " success_metrics=[success_metrics.Response, PerfRatioUnclipped],\n", + " bootstrap_iterations=1000,\n", + " update_rule=lambda bs_params, df: None,\n", + " )\n", + "\n", + " bsParams_iter = bootstrap.BSParams_range_iter()(bsParams, sample_counts)\n", + " bs_inst = bootstrap.Bootstrap(\n", + " inst_df,\n", + " group_on=[\"instance\", \"iteration\"],\n", + " bs_params_list=bsParams_iter,\n", + " )\n", + " bs_results.append(bs_inst)\n", + "\n", + "bs_df = pd.concat(bs_results, ignore_index=True)\n", + "bs_df[\"samples\"] = bs_df[\"boots\"]\n", + "\n", + "sb.set_Bootstrap(bs_df)\n", + "\n", + "bs_df.head()\n" + ] + }, + { + "cell_type": "markdown", + "id": "0a81bfb0", + "metadata": {}, + "source": [ + "## Resource Proxy for Time\n", + "\n", + "From the quantities we are studying (number of iterations and number of samples), we need to define the resource we are interested in minimizing.\n", + "In this case, we can use `iterations × samples` as a proxy for the running time of the algorithm.\n", + "\n", + "The reason we will not use the recorded wall-clock time directly is because it varies across runs and computing environments.\n", + "For our objective of finding better combinations of parameters, it is useful to work with more stable metrics." + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "d3b4dbf6", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 1980/1980 [00:03<00:00, 566.80it/s]\n" + ] + } + ], + "source": [ + "import interpolate\n", + "\n", + "def resource_fcn(df):\n", + " return df[\"iteration\"] * df[\"samples\"]\n", + "\n", + "iParams = interpolate.InterpolationParameters(resource_fcn, parameters=[\"iteration\", \"samples\"])\n", + "sb.run_Interpolate(iParams)\n", + "\n", + "# interpolate.Interpolate() returns a MultiIndex (iteration, samples, instance, resource).\n", + "# Flatten it to match the reduce_mem path so run_Stats can group on flat columns.\n", + "if sb.interp_results.index.names[0] is not None:\n", + " sb.interp_results.reset_index(inplace=True)\n", + " sb.interp_results.to_pickle(sb.here.interpolate)\n" + ] + }, + { + "cell_type": "markdown", + "id": "7e57e1fa", + "metadata": {}, + "source": [ + "## Initial Investigation" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "171656634ab", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Instance 326 (n=200 variables)\n", + "Samples |Min PerfRatio |At Iter |Max PerfRatio |At Iter \n", + "------------|------------------|----------|------------------|----------\n", + "1 |0.9416 |1 |0.9885 |45 \n", + "------------|------------------|----------|------------------|----------\n", + "10 |0.9470 |1 |0.9885 |39 \n", + "------------|------------------|----------|------------------|----------\n", + "100 |0.9493 |1 |0.9885 |38 \n", + "------------|------------------|----------|------------------|----------\n", + "1000 |0.9504 |1 |0.9885 |35 \n", + "------------|------------------|----------|------------------|----------\n" + ] + } + ], + "source": [ + "# Performance ratio range for instance 326 across sample counts\n", + "inst_df = bs_df[bs_df[\"instance\"] == 326]\n", + "perf_col = \"Key=PerfRatio\"\n", + "\n", + "def find_iter_at(df, fn):\n", + " val = fn(df[perf_col])\n", + " return df[df[perf_col] == val][\"iteration\"].values[0], float(val)\n", + "\n", + "print(f\"Instance 326 (n=200 variables)\")\n", + "print(f\"{'Samples':<12}|{'Min PerfRatio':<18}|{'At Iter':<10}|{'Max PerfRatio':<18}|{'At Iter':<10}\")\n", + "print(\"-\"*12 + \"|\" + \"-\"*18 + \"|\" + \"-\"*10 + \"|\" + \"-\"*18 + \"|\" + \"-\"*10)\n", + "for n_samp in [1, 10, 100, 1000]:\n", + " df = inst_df[inst_df[\"samples\"] == n_samp]\n", + " min_iter, min_val = find_iter_at(df, min)\n", + " max_iter, max_val = find_iter_at(df, max)\n", + " print(f\"{n_samp:<12}|{min_val:<18.4f}|{min_iter:<10}|{max_val:<18.4f}|{max_iter:<10}\")\n", + " print(\"-\"*12 + \"|\" + \"-\"*18 + \"|\" + \"-\"*10 + \"|\" + \"-\"*18 + \"|\" + \"-\"*10)\n" + ] + }, + { + "cell_type": "markdown", + "id": "859ae1c4", + "metadata": {}, + "source": [ + "This basic overview starts to paint a picture:\n", + "- Increasing the number of samples does not yield better objective values at the final iteration, which makes sense since the energy distribution converges to a single value towards the end.\n", + "- Increasing the number of samples does help reach better objective values at an earlier iteration, but does not reduce the number of required iterations by an order of magnitude or more. In other words, the reduction in iterations does not justify the increase in the number of samples.\n", + "\n", + "Overall, this indicates that a small number of samples is the better option, but it does not answer all of our questions:\n", + "\n", + "- How should the parameters be distributed given a fixed resource budget?\n", + "- How close to the virtual best does a given resource budget get us?\n", + "\n", + "These questions will be answered by the complete framework evaluation." + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "21136cdd86c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/120 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import plotting\n", + "\n", + "plotting.monotone = True\n", + "sb.initPlotting()\n", + "\n", + "fig, axs = sb.plots.plot_performance()\n", + "fig.savefig(\"performance.png\")\n", + "\n", + "figs, axes = sb.plots.plot_parameters_separate()\n", + "for param, fig in figs.items():\n", + " fig.savefig(param + \".png\")\n" + ] + }, + { + "cell_type": "markdown", + "id": "84e31366", + "metadata": {}, + "source": [ + "## Conclusion\n" + ] + }, + { + "cell_type": "markdown", + "id": "482afe23", + "metadata": {}, + "source": [ + "In general, it is better to invest fewer resources in the number of samples while aiming for a reasonable number of iterations. This is consistent with the initial investigation.\n", + "The initial investigation indicated that we could reach the best achievable performance with one sample per iteration and around 45 iterations, corresponding to a resource value of 45.\n", + "\n", + "However, the input recommendation plot shows a jump in performance at a much lower resource value, around 10, which translates to 1 sample and 10 iterations.\n", + "This may not correspond to the peak performance, but it is clear that the performance does not improve significantly beyond this point, making it a good operating point for the samples-versus-iterations trade-off." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.13.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/examples/TenSolver/checkpoints/params_plotting/Projection from TrainingResults.csv 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a/examples/TenSolver/checkpoints/params_plotting/Projection from TrainingStats.csv b/examples/TenSolver/checkpoints/params_plotting/Projection from TrainingStats.csv new file mode 100644 index 00000000..01e4ec64 --- /dev/null +++ b/examples/TenSolver/checkpoints/params_plotting/Projection from TrainingStats.csv @@ -0,0 +1,42 @@ +,resource,iteration,samples +0,1,1.0,1.0 +1,2,2.0,1.0 +2,3,3.0,1.0 +3,4,4.0,1.0 +4,5,5.0,1.0 +5,6,6.0,1.0 +6,7,7.0,1.0 +7,8,8.0,1.0 +8,9,9.0,1.0 +9,10,10.0,1.0 +10,11,11.0,1.0 +11,12,12.0,1.0 +12,13,13.0,1.0 +13,15,15.0,1.0 +14,31,15.0,1.0 +15,41,15.0,1.0 +16,50,15.0,1.0 +17,60,15.0,1.0 +18,73,15.0,1.0 +19,80,15.0,1.0 +20,142,14.0,10.0 +21,156,15.0,10.0 +22,207,15.0,10.0 +23,302,15.0,10.0 +24,401,15.0,10.0 +25,707,15.0,10.0 +26,940,15.0,10.0 +27,1033,15.0,10.0 +28,1135,11.0,100.0 +29,1248,12.0,100.0 +30,1508,15.0,100.0 +31,2003,15.0,100.0 +32,5160,15.0,100.0 +33,6235,15.0,100.0 +34,8282,15.0,100.0 +35,9104,15.0,100.0 +36,10007,15.0,100.0 +37,11001,11.0,1000.0 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bytes examples/TenSolver/performance.png | Bin 133256 -> 0 bytes examples/TenSolver/samples.png | Bin 147847 -> 0 bytes 10 files changed, 19 insertions(+), 252 deletions(-) create mode 100644 PR_DESCRIPTION.md delete mode 100644 examples/TenSolver/checkpoints/params_plotting/Projection from TrainingResults.csv delete mode 100644 examples/TenSolver/checkpoints/params_plotting/Projection from TrainingStats.csv delete mode 100644 examples/TenSolver/checkpoints/params_plotting/baseline.csv delete mode 100644 examples/TenSolver/checkpoints/performance_plotting/Projection from TrainingResults.csv delete mode 100644 examples/TenSolver/checkpoints/performance_plotting/Projection from TrainingStats.csv delete mode 100644 examples/TenSolver/checkpoints/performance_plotting/baseline.csv delete mode 100644 examples/TenSolver/iteration.png delete mode 100644 examples/TenSolver/performance.png delete mode 100644 examples/TenSolver/samples.png diff --git a/PR_DESCRIPTION.md b/PR_DESCRIPTION.md new file mode 100644 index 00000000..d5e1c49a --- /dev/null +++ b/PR_DESCRIPTION.md @@ -0,0 +1,19 @@ +# TenSolver Benchmark Example + +Adds a complete Jupyter notebook benchmarking [TenSolver](https://github.com/SECQUOIA/TenSolver.jl) on 23 QUBO instances from the QpLib subset of QUBOLib (instances 308–330). + +## What's included + +- **Energy distribution visualizations** — heatmap showing how the sampled energy distribution evolves across DMRG iterations for a representative instance. +- **Performance ratio** — computed against Gurobi's best-known objectives as the reference minimum and random bitstring sampling as the baseline. +- **Bootstrap analysis** — performance ratio inferred for 1, 10, 100, and 1000 samples per iteration using the stochastic-benchmark framework. +- **Resource analysis** — `iterations × samples` used as a proxy for compute; interpolation, train/test split, virtual best baseline, and projection experiments follow the same pattern as the Simulated Annealing example. +- **Output plots** — `performance.png`, `iteration.png`, `samples.png`. + +## Data files + +| File | Description | +|---|---| +| `results/energy_history.json` | 1000 energy samples per DMRG iteration for all 23 instances | +| `results/random_baseline.json` | Mean and min energy from 1000 random bitstrings per instance | +| `results/gurobi_best.json` | Best objective found by Gurobi (900 s limit) per instance | diff --git a/examples/TenSolver/checkpoints/params_plotting/Projection from TrainingResults.csv b/examples/TenSolver/checkpoints/params_plotting/Projection from TrainingResults.csv deleted file mode 100644 index 01e4ec64..00000000 --- a/examples/TenSolver/checkpoints/params_plotting/Projection from TrainingResults.csv +++ /dev/null @@ -1,42 +0,0 @@ -,resource,iteration,samples -0,1,1.0,1.0 -1,2,2.0,1.0 -2,3,3.0,1.0 -3,4,4.0,1.0 -4,5,5.0,1.0 -5,6,6.0,1.0 -6,7,7.0,1.0 -7,8,8.0,1.0 -8,9,9.0,1.0 -9,10,10.0,1.0 -10,11,11.0,1.0 -11,12,12.0,1.0 -12,13,13.0,1.0 -13,15,15.0,1.0 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zug^2x8yFN7>FoUdLFmFEXC{FPbKuLSvZPD~8H?ODG-vyc;AgKS0wCS0YXvlHDig_zlNh&gnu<>6y?705k4h#hp> zb>MlT_*NV=H$|$}K121aWQ_|!gN(1XZzpO1^57|e6N<4hjfj7Mib!yPb3Xta7c^L` zL!QIknU6MP&h<}wFdXvv`d91!n4@3dzwZvBwd}v|9`SEL?#=I5Z!A2U@BUx>;=*-< X(%nrr)dJSfVlgo~akS|BGe7+syD8IS From f520f7d3f613bca43cf1aa4f3ba79917a98816f0 Mon Sep 17 00:00:00 2001 From: jvpcms Date: Tue, 24 Mar 2026 13:20:00 -0300 Subject: [PATCH 03/11] readme --- PR_DESCRIPTION.md => examples/TenSolver/README.md | 5 ++--- 1 file changed, 2 insertions(+), 3 deletions(-) rename PR_DESCRIPTION.md => examples/TenSolver/README.md (73%) diff --git a/PR_DESCRIPTION.md b/examples/TenSolver/README.md similarity index 73% rename from PR_DESCRIPTION.md rename to examples/TenSolver/README.md index d5e1c49a..53988bea 100644 --- a/PR_DESCRIPTION.md +++ b/examples/TenSolver/README.md @@ -1,14 +1,13 @@ # TenSolver Benchmark Example -Adds a complete Jupyter notebook benchmarking [TenSolver](https://github.com/SECQUOIA/TenSolver.jl) on 23 QUBO instances from the QpLib subset of QUBOLib (instances 308–330). +Benchmarking [TenSolver](https://github.com/SECQUOIA/TenSolver.jl) on 23 QUBO instances from the QpLib subset of QUBOLib (instances 308–330). ## What's included - **Energy distribution visualizations** — heatmap showing how the sampled energy distribution evolves across DMRG iterations for a representative instance. - **Performance ratio** — computed against Gurobi's best-known objectives as the reference minimum and random bitstring sampling as the baseline. - **Bootstrap analysis** — performance ratio inferred for 1, 10, 100, and 1000 samples per iteration using the stochastic-benchmark framework. -- **Resource analysis** — `iterations × samples` used as a proxy for compute; interpolation, train/test split, virtual best baseline, and projection experiments follow the same pattern as the Simulated Annealing example. -- **Output plots** — `performance.png`, `iteration.png`, `samples.png`. +- **Resource analysis** — `iterations × samples` used as a proxy for compute; interpolation, train/test split, virtual best baseline, and projection experiments. ## Data files From fbe9b5243e90a7c181de7b635ee8b9a1b2520880 Mon Sep 17 00:00:00 2001 From: jvpcms Date: Tue, 24 Mar 2026 13:30:24 -0300 Subject: [PATCH 04/11] markdown render fix --- examples/TenSolver/TenSolver.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/TenSolver/TenSolver.ipynb b/examples/TenSolver/TenSolver.ipynb index b2485dc7..3e1e2c85 100644 --- a/examples/TenSolver/TenSolver.ipynb +++ b/examples/TenSolver/TenSolver.ipynb @@ -16,7 +16,7 @@ "\\min_{x \\in \\mathbb{B}^N} \\: x^\\top Q x \\: = \\: \\min_{x \\in \\mathbb{B}^N} \\: \\sum_{i \\ge j} Q_{ij} x_i x_j \n", "$$\n", "\n", - "where $Q \\in \\R^{N \\times N}$ is a real matrix, $x$ is the binary decision variables vector, and we write $\\mathbb{B} = \\{0,\\,1\\}$.\n", + "where $Q \\in \\mathbb{R}^{N \\times N}$ is a real matrix, $x$ is the binary decision variables vector, and we write $\\mathbb{B} = \\{0,\\,1\\}$.\n", "\n", "### Hamiltonian Equivalence\n", "\n", From fa0e193760c47d96525c1152d1d7ece7f2f81b7a Mon Sep 17 00:00:00 2001 From: jvpcms Date: Tue, 24 Mar 2026 19:44:05 -0300 Subject: [PATCH 05/11] grammar improvements --- examples/TenSolver/TenSolver.ipynb | 78 +++++++++++++++--------------- 1 file changed, 38 insertions(+), 40 deletions(-) diff --git a/examples/TenSolver/TenSolver.ipynb b/examples/TenSolver/TenSolver.ipynb index 3e1e2c85..0bdf8caa 100644 --- a/examples/TenSolver/TenSolver.ipynb +++ b/examples/TenSolver/TenSolver.ipynb @@ -16,33 +16,31 @@ "\\min_{x \\in \\mathbb{B}^N} \\: x^\\top Q x \\: = \\: \\min_{x \\in \\mathbb{B}^N} \\: \\sum_{i \\ge j} Q_{ij} x_i x_j \n", "$$\n", "\n", - "where $Q \\in \\mathbb{R}^{N \\times N}$ is a real matrix, $x$ is the binary decision variables vector, and we write $\\mathbb{B} = \\{0,\\,1\\}$.\n", + "where $Q \\in \\mathbb{R}^{N \\times N}$ is a real matrix, $x$ is the vector of binary decision variables, and we write $\\mathbb{B} = \\{0,\\,1\\}$.\n", "\n", "### Hamiltonian Equivalence\n", "\n", "A QUBO problem can be reformulated as an eigenvalue problem.\n", - "This reformulation consists of representing the QUBO as a 1D quantum system with as many particles as dimensions in the QUBO.\n", - "In this format, each solution is a state of the particles in the system.\n", - "Solving the QUBO consists of finding the ground state of said Hamiltonian.\n", - "Essentially, we are rewriting a discrete optimization problem with binary variables as a continuous problem with complex variables.\n", + "In essence, this reformulation represents the QUBO as a 1D quantum system with one particle per variable.\n", + "Each solution corresponds to a state of the particles in the system, and solving the QUBO amounts to finding the ground state of the corresponding Hamiltonian.\n", + "This reformulates a discrete optimization problem over binary variables as a continuous problem over complex variables.\n", "\n", - "Even though we made this shift, the problem is still fully solved in a classical setting. \n", + "Despite this reformulation, the problem is still solved entirely on classical hardware.\n", "We use tensors to represent both the Hamiltonian and the system states.\n", - "The issue is that those tensors are extremely large and difficult to work with. \n", + "The issue is that those tensors are extremely large and difficult to work with.\n", "\n", "### Tensor Networks\n", "\n", - "Thankfully, we can use a mathematical tool called Tensor Network (TN) to represent the larger instances in a more manageable way.\n", + "Thankfully, we can use a mathematical tool called Tensor Network (TN) to compress these large tensors into a more manageable form.\n", "These objects consist of products or contractions between tensors of different ranks (dimensions).\n", - "With this tool, the operators (QUBO instances) are represented as Matrix Product Operators (MPOs), products of rank-4 tensors. \n", - "While the states (QUBO solutions) are represented as Matrix Product States (MPSs), products of rank-3 tensors.\n", + "With this tool, the operators (QUBO Hamiltonians) are represented as Matrix Product Operators (MPOs), products of rank-4 tensors, while the states (QUBO solutions) are represented as Matrix Product States (MPSs), products of rank-3 tensors.\n", "\n", "The problem now consists of finding an MPS that, when contracted with the MPO, results in the smallest value.\n", "\n", "### DMRG\n", "\n", - "DMRG is an algorithm that does precisely that. \n", - "It approximates the ground state of a Hamiltonian in an iterative way, and it works with the tensor network representation of these objects.\n", + "DMRG is an algorithm that does precisely this.\n", + "It iteratively approximates the ground state of a Hamiltonian using the tensor network representation of these objects.\n", "\n", "### TenSolver\n", "\n", @@ -62,8 +60,8 @@ "source": [ "## Problem Instances\n", "\n", - "The problem instances used in this example were extracted from the [QUBOLib benchmark](https://github.com/JuliaQUBO/QUBOLib.jl), more specifically, the QpLib subset. \n", - "It includes instances 308 to 330 and their number of variables varies from 120 to 1225.\n", + "The problem instances used in this example were extracted from the [QUBOLib benchmark](https://github.com/JuliaQUBO/QUBOLib.jl), more specifically, the QpLib subset.\n", + "It includes instances 308 to 330, with variable counts ranging from 120 to 1225.\n", "\n", "| **Instance** | 308 | 309 | 310 | 311 | 312 | 313 | 314 | 315 | 316 | 317 | 318 | 319 |\n", "| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n", @@ -75,8 +73,8 @@ "| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n", "| **Dimension** | 1225 | 231 | 630 | 300 | 343 | 400 | 200 | 120 | 150 | 250 | 500 |\n", "\n", - "Each instance's data is comprised of 1000 energy samples extracted at each DMRG iteration.\n", - "Those instances were solved on a 6-core CPU (mention model) using the following set of parameters in TenSolver:\n", + "Each instance's data comprises 1000 energy samples extracted at each DMRG iteration.\n", + "Those instances were solved on a 6-core CPU using the following set of parameters in TenSolver:\n", "\n", "```julia\n", "n, L, Q, a, b = QUBOTools.qubo(qubo_model, :sparse; sense = :min)\n", @@ -110,8 +108,8 @@ "\n", "```\n", "\n", - "Compared to the default values of the solver, here we used larger noise values and a smaller maximum dimension. \n", - "This choice was made to keep the energy distribution spread over more iterations during the solve process, as the default parameters frequently cause early convergence.\n", + "Compared to the default values of the solver, here we used larger noise values and a smaller maximum dimension.\n", + "This choice was made to keep the energy distribution spread over more iterations during the solving process, as the default parameters frequently cause early distribution collapse..\n", "\n", "Here is a summary of the data:\n", "\n", @@ -127,7 +125,7 @@ "| **Objective** | -922 | -2.396e+07 | -7.169e+07 | -6.784e+07 | -8.586e+04 | -2.487e+04 | -4.984e+04 | -6.803e+04 | -2.556e+05 |\n", "| **Iterations** | 4 | 42 | 15 | 22 | 48 | 13 | 10 | 6 | 21 |\n", "\n", - "*Note:* The table shows the iterations up until which there were changes in the objective value or energy distributions, not necessarily all iterations the algorithm performed." + "*Note:* The table shows the last iteration at which changes were observed in the objective value or energy distribution, not necessarily the total number of iterations the algorithm performed." ] }, { @@ -137,7 +135,7 @@ "source": [ "## Natural Questions\n", "\n", - "Let's gain some intuition on the data by observing how the energy distribution evolves over the iterations. " + "Let's gain some intuition about the data by observing how the energy distribution evolves over the iterations." ] }, { @@ -212,14 +210,14 @@ "id": "6c36eda5", "metadata": {}, "source": [ - "This graph shows the amount of energy samples at each energy level, divided across DMRG iterations.\n", + "This graph shows the number of energy samples at each energy level across DMRG iterations.\n", "\n", - "You can see that there are two quantities at play here: the number of iterations and the number of energy samples at each iteration. \n", - "As the number of iterations increases, the number of unique energies decreases and the distribution becomes more concentrated. Although it eventually concentrates on a single value, this happens later than it initially appears.\n", + "There are two quantities at play: the number of iterations and the number of energy samples per iteration.\n", + "As the number of iterations increases, the number of unique energies decreases and the distribution becomes more concentrated.\n", "\n", - "Since we are interested in getting the best possible objective value while ideally minimizing work, it is only natural to question how many iterations and how many samples are enough for our needs.\n", + "Since we are interested in getting the best possible objective value while ideally minimizing work, it is only natural to question how many iterations and how many samples are sufficient for our needs.\n", "\n", - "That is the question we will try to gain insight into by applying Stochastic Benchmark." + "These are the questions we will try to answer by applying Stochastic Benchmark." ] }, { @@ -229,19 +227,19 @@ "source": [ "## Performance Metric\n", "\n", - "We need our comparisons to have a common metric, which is why we are interested in the \"performance ratio\" metric. \n", + "To enable meaningful comparisons, we use the performance ratio as a common metric.\n", "In this particular problem, it is calculated as follows:\n", "\n", - "- First, we sample a subset from the input space and calculate the associated energies. Specifically, we use 1000 random bitstrings in this case.\n", + "- First, we sample a subset from the input space and calculate the associated energies. Specifically, we use 1000 random bitstrings.\n", "- The mean energy across the random sample is denoted as `random`.\n", - "- We also load the best energies found by the Gurobi solver using Branch and Bound. Since Gurobi proves optimality, we denote those values as `minimum`, though we also applied a 900-second time limit to the Gurobi runs.\n", + "- We also load the best energy found by Gurobi via Branch and Bound. We denote this value as `minimum`. Note that a 900-second time limit was applied, so optimality is not guaranteed in all cases.\n", "- The performance ratio is calculated across an increasing number of iterations, where `found` is the best energy found at the current point in the algorithm's execution.\n", "\n", "$$\n", "\\text{performance ratio} = \\frac{\\text{found} - \\text{random}}{\\text{minimum} - \\text{random}}\n", "$$\n", "\n", - "A performance ratio of 0 means the solver did not improve over the random baseline, while a ratio of 1 means it matched Gurobi's best known solution." + "A performance ratio of 0 means the solver did not improve over the random baseline, while a ratio of 1 means it matched Gurobi's best-known solution." ] }, { @@ -472,10 +470,10 @@ "source": [ "## Bootstrap\n", "\n", - "One thing to notice is that, although we sampled 1000 energies at each iteration when solving the instances, we are interested in comparing performance across different numbers of samples.\n", + "Note that although we sampled 1000 energies at each iteration when solving the instances, we are interested in comparing performance across different numbers of samples.\n", "\n", "Bootstrapping allows us to statistically infer what those distributions would look like had we solved the instances with a different number of samples.\n", - "Here we will bootstrap the data for 1, 10, 100, and 1000 samples." + "Here we bootstrap the data for 1, 10, 100, and 1000 samples." ] }, { @@ -801,10 +799,10 @@ "source": [ "## Resource Proxy for Time\n", "\n", - "From the quantities we are studying (number of iterations and number of samples), we need to define the resource we are interested in minimizing.\n", + "Given the quantities we are studying (number of iterations and number of samples), we need to define the resource we are interested in minimizing.\n", "In this case, we can use `iterations × samples` as a proxy for the running time of the algorithm.\n", "\n", - "The reason we will not use the recorded wall-clock time directly is because it varies across runs and computing environments.\n", + "The reason we will not use the recorded wall-clock time directly is that it varies across runs and computing environments.\n", "For our objective of finding better combinations of parameters, it is useful to work with more stable metrics." ] }, @@ -895,11 +893,11 @@ "id": "859ae1c4", "metadata": {}, "source": [ - "This basic overview starts to paint a picture:\n", - "- Increasing the number of samples does not yield better objective values at the final iteration, which makes sense since the energy distribution converges to a single value towards the end.\n", - "- Increasing the number of samples does help reach better objective values at an earlier iteration, but does not reduce the number of required iterations by an order of magnitude or more. In other words, the reduction in iterations does not justify the increase in the number of samples.\n", + "This basic overview reveals two key observations:\n", + "- Increasing the number of samples does not yield better objective values by the final iteration, which makes sense since the energy distribution converges to a single value by the end.\n", + "- Increasing the number of samples does help achieve better values in fewer iterations, but does not reduce the required iteration count by an order of magnitude or more. In other words, the reduction in iterations does not justify the increase in the number of samples.\n", "\n", - "Overall, this indicates that a small number of samples is the better option, but it does not answer all of our questions:\n", + "Overall, this indicates that using a small number of samples is the better option, but it does not answer all of our questions:\n", "\n", "- How should the parameters be distributed given a fixed resource budget?\n", "- How close to the virtual best does a given resource budget get us?\n", @@ -1022,11 +1020,11 @@ "id": "482afe23", "metadata": {}, "source": [ - "In general, it is better to invest fewer resources in the number of samples while aiming for a reasonable number of iterations. This is consistent with the initial investigation.\n", - "The initial investigation indicated that we could reach the best achievable performance with one sample per iteration and around 45 iterations, corresponding to a resource value of 45.\n", + "In general, it is better to invest fewer resources in samples while aiming for a reasonable number of iterations. This is consistent with the initial investigation.\n", + "The initial investigation indicated that the best achievable performance ratio could be reached with one sample per iteration and around 45 iterations, corresponding to a resource value of 45.\n", "\n", "However, the input recommendation plot shows a jump in performance at a much lower resource value, around 10, which translates to 1 sample and 10 iterations.\n", - "This may not correspond to the peak performance, but it is clear that the performance does not improve significantly beyond this point, making it a good operating point for the samples-versus-iterations trade-off." + "This does not correspond to peak performance, but it is clear that performance does not improve significantly beyond this point, making this a good operating point for the samples-versus-iterations trade-off." ] } ], From c4cb9a0905086d07ea35c31a02a89be58ab336c8 Mon Sep 17 00:00:00 2001 From: jvpcms Date: Tue, 24 Mar 2026 21:02:32 -0300 Subject: [PATCH 06/11] better description of the hamiltonian equivalence --- examples/TenSolver/TenSolver.ipynb | 13 ++++++++----- 1 file changed, 8 insertions(+), 5 deletions(-) diff --git a/examples/TenSolver/TenSolver.ipynb b/examples/TenSolver/TenSolver.ipynb index 0bdf8caa..09d02cb1 100644 --- a/examples/TenSolver/TenSolver.ipynb +++ b/examples/TenSolver/TenSolver.ipynb @@ -20,14 +20,17 @@ "\n", "### Hamiltonian Equivalence\n", "\n", - "A QUBO problem can be reformulated as an eigenvalue problem.\n", - "In essence, this reformulation represents the QUBO as a 1D quantum system with one particle per variable.\n", - "Each solution corresponds to a state of the particles in the system, and solving the QUBO amounts to finding the ground state of the corresponding Hamiltonian.\n", + "A QUBO problem can be reformulated as an eigenvalue problem by mapping it to a quantum many-body system.\n", + "In this reformulation, each binary variable $x_i$ is treated as a particle or a \"site\".\n", + "The binary values the variables can assume correspond to the basis states of a qubit.\n", + "\n", + "We can then construct a Hamiltonian by replacing the binary variables with single-site operators $D_i$ ($2 \\times 2$ diagonal matrices). In the new format, solving the QUBO amounts to finding the ground state of the corresponding Hamiltonian.\n", "This reformulates a discrete optimization problem over binary variables as a continuous problem over complex variables.\n", "\n", "Despite this reformulation, the problem is still solved entirely on classical hardware.\n", "We use tensors to represent both the Hamiltonian and the system states.\n", - "The issue is that those tensors are extremely large and difficult to work with.\n", + "The issue is that those tensors are extremely large and difficult to work with. \n", + "The resulting Hamiltonian is a $2^N \\times 2^N$ matrix.\n", "\n", "### Tensor Networks\n", "\n", @@ -35,7 +38,7 @@ "These objects consist of products or contractions between tensors of different ranks (dimensions).\n", "With this tool, the operators (QUBO Hamiltonians) are represented as Matrix Product Operators (MPOs), products of rank-4 tensors, while the states (QUBO solutions) are represented as Matrix Product States (MPSs), products of rank-3 tensors.\n", "\n", - "The problem now consists of finding an MPS that, when contracted with the MPO, results in the smallest value.\n", + "Computationally, we need to find an MPS that, when contracted with the MPO, results in the smallest value.\n", "\n", "### DMRG\n", "\n", From 252297c345f7e12f1975700791f572c84c3392b8 Mon Sep 17 00:00:00 2001 From: jvpcms Date: Tue, 24 Mar 2026 21:47:17 -0300 Subject: [PATCH 07/11] adding references --- examples/TenSolver/TenSolver.ipynb | 47 ++++++++++++++++++++---------- 1 file changed, 32 insertions(+), 15 deletions(-) diff --git a/examples/TenSolver/TenSolver.ipynb b/examples/TenSolver/TenSolver.ipynb index 09d02cb1..7d45be1a 100644 --- a/examples/TenSolver/TenSolver.ipynb +++ b/examples/TenSolver/TenSolver.ipynb @@ -24,7 +24,7 @@ "In this reformulation, each binary variable $x_i$ is treated as a particle or a \"site\".\n", "The binary values the variables can assume correspond to the basis states of a qubit.\n", "\n", - "We can then construct a Hamiltonian by replacing the binary variables with single-site operators $D_i$ ($2 \\times 2$ diagonal matrices). In the new format, solving the QUBO amounts to finding the ground state of the corresponding Hamiltonian.\n", + "We can then construct a Hamiltonian by replacing the binary variables with single-site operators $D_i$ ($2 \\times 2$ diagonal matrices). In the new format, solving the QUBO amounts to finding the ground state of the corresponding Hamiltonian [1].\n", "This reformulates a discrete optimization problem over binary variables as a continuous problem over complex variables.\n", "\n", "Despite this reformulation, the problem is still solved entirely on classical hardware.\n", @@ -36,13 +36,13 @@ "\n", "Thankfully, we can use a mathematical tool called Tensor Network (TN) to compress these large tensors into a more manageable form.\n", "These objects consist of products or contractions between tensors of different ranks (dimensions).\n", - "With this tool, the operators (QUBO Hamiltonians) are represented as Matrix Product Operators (MPOs), products of rank-4 tensors, while the states (QUBO solutions) are represented as Matrix Product States (MPSs), products of rank-3 tensors.\n", + "With this tool, the operators (QUBO Hamiltonians) are represented as Matrix Product Operators (MPOs), products of rank-4 tensors, while the states (QUBO solutions) are represented as Matrix Product States (MPSs), products of rank-3 tensors [2].\n", "\n", "Computationally, we need to find an MPS that, when contracted with the MPO, results in the smallest value.\n", "\n", "### DMRG\n", "\n", - "DMRG is an algorithm that does precisely this.\n", + "DMRG is an algorithm that does precisely this [3, 4].\n", "It iteratively approximates the ground state of a Hamiltonian using the tensor network representation of these objects.\n", "\n", "### TenSolver\n", @@ -53,7 +53,7 @@ "- Applying DMRG consecutively with a random initial MPS, getting better approximations each time.\n", "- Sampling solutions according to the final state and calculating the objective value.\n", "\n", - "The implementation is built on top of the [ITensors.jl](https://docs.itensor.org/Overview/) package." + "The implementation is built on top of the [ITensors.jl](https://docs.itensor.org/Overview/) package [5]." ] }, { @@ -63,7 +63,7 @@ "source": [ "## Problem Instances\n", "\n", - "The problem instances used in this example were extracted from the [QUBOLib benchmark](https://github.com/JuliaQUBO/QUBOLib.jl), more specifically, the QpLib subset.\n", + "The problem instances used in this example were extracted from the [QUBOLib benchmark](https://github.com/JuliaQUBO/QUBOLib.jl) [6], more specifically, the QPLib subset [7].\n", "It includes instances 308 to 330, with variable counts ranging from 120 to 1225.\n", "\n", "| **Instance** | 308 | 309 | 310 | 311 | 312 | 313 | 314 | 315 | 316 | 317 | 318 | 319 |\n", @@ -481,7 +481,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": null, "id": "697610bc", "metadata": {}, "outputs": [ @@ -720,8 +720,6 @@ "import bootstrap\n", "import success_metrics\n", "\n", - "# PerfRatio.evaluate clips to upper=1.0 by default, masking any ratio > 1.\n", - "# TenSolver significantly outperforms random, so we remove the upper cap.\n", "class PerfRatioUnclipped(success_metrics.PerfRatio):\n", " def evaluate(self, bs_df, responses, resources):\n", " super().evaluate(bs_df, responses, resources, lower=None, upper=None)\n", @@ -811,7 +809,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": null, "id": "d3b4dbf6", "metadata": {}, "outputs": [ @@ -832,8 +830,6 @@ "iParams = interpolate.InterpolationParameters(resource_fcn, parameters=[\"iteration\", \"samples\"])\n", "sb.run_Interpolate(iParams)\n", "\n", - "# interpolate.Interpolate() returns a MultiIndex (iteration, samples, instance, resource).\n", - "# Flatten it to match the reduce_mem path so run_Stats can group on flat columns.\n", "if sb.interp_results.index.names[0] is not None:\n", " sb.interp_results.reset_index(inplace=True)\n", " sb.interp_results.to_pickle(sb.here.interpolate)\n" @@ -910,7 +906,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": null, "id": "21136cdd86c", "metadata": {}, "outputs": [ @@ -937,9 +933,6 @@ "stParams = stats.StatsParameters(metrics=[\"PerfRatio\"], stats_measures=[stats.Median()])\n", "sb.run_Stats(stParams, train_test_split)\n", "\n", - "# run_baseline() calls get_experiment_parameters() which accesses self.baseline.recalibrate,\n", - "# but self.baseline is what run_baseline() creates — circular on first call.\n", - "# Provide a placeholder so get_experiment_parameters() can proceed; run_baseline() overwrites it.\n", "class _PlaceholderBaseline:\n", " def recalibrate(self, df): pass\n", "\n", @@ -1029,6 +1022,30 @@ "However, the input recommendation plot shows a jump in performance at a much lower resource value, around 10, which translates to 1 sample and 10 iterations.\n", "This does not correspond to peak performance, but it is clear that performance does not improve significantly beyond this point, making this a good operating point for the samples-versus-iterations trade-off." ] + }, + { + "cell_type": "markdown", + "id": "ab911333", + "metadata": {}, + "source": [ + "## References\n", + "\n", + "[1] Andrew Lucas. Ising formulations of many NP problems. Frontiers in Physics, 2, 2014.\n", + "[2] I. V. Oseledets. Tensor-Train Decomposition. SIAM Journal on Scientific Computing,\n", + "33(5):2295–2317, 2011. _eprint: https://doi.org/10.1137/090752286.\n", + "[3] Steven R. White. Density matrix formulation for quantum renormalization groups. Phys. Rev.\n", + "Lett., 69:2863–2866, Nov 1992.\n", + "[4] Steven R. White. Density-matrix algorithms for quantum renormalization groups. Phys. Rev. B,\n", + "48:10345–10356, Oct 1993.\n", + "[5] Matthew Fishman, Steven R. White, and E. Miles Stoudenmire. Codebase release 0.3 for\n", + "ITensor. SciPost Phys. Codebases, pages 4–r0.3, 2022.\n", + "[6] Pedro Maciel Xavier and David E. Bernal Neira. QUBOLib.jl: A Julia library of QUBO\n", + "instances, 2023. Accessed: 2025-11-21.\n", + "[7] Fabio Furini, Emiliano Traversi, Pietro Belotti, Antonio Frangioni, Ambros Gleixner, Nick\n", + "Gould, Leo Liberti, Andrea Lodi, Ruth Misener, Hans Mittelmann, Nikolaos Sahinidis, Stefan\n", + "Vigerske, and Angelika Wiegele. QPLIB: A library of quadratic programming instances.\n", + "Mathematical Programming Computation, 2018." + ] } ], "metadata": { From e4fdf9f0df99a1b1c9792dbeebda386aade921e5 Mon Sep 17 00:00:00 2001 From: "David E. Bernal Neira" Date: Thu, 21 May 2026 08:55:05 -0400 Subject: [PATCH 08/11] Address TenSolver example review feedback --- examples/TenSolver/TenSolver.ipynb | 94 ++++++++++++++++++++---------- src/stochastic_benchmark.py | 6 +- tests/test_experiments.py | 42 +++++++++++++ tests/test_tensolver_notebook.py | 52 +++++++++++++++++ 4 files changed, 161 insertions(+), 33 deletions(-) create mode 100644 tests/test_tensolver_notebook.py diff --git a/examples/TenSolver/TenSolver.ipynb b/examples/TenSolver/TenSolver.ipynb index 7d45be1a..b40136a7 100644 --- a/examples/TenSolver/TenSolver.ipynb +++ b/examples/TenSolver/TenSolver.ipynb @@ -160,11 +160,35 @@ ], "source": [ "import json\n", + "import sys\n", + "from pathlib import Path\n", + "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import LogNorm, LinearSegmentedColormap\n", "\n", - "with open(\"results/energy_history.json\") as f:\n", + "\n", + "def find_tensolver_dir():\n", + " cwd = Path.cwd().resolve()\n", + " candidates = [cwd, cwd / \"examples\" / \"TenSolver\"]\n", + " for candidate in candidates:\n", + " if (candidate / \"results\" / \"energy_history.json\").exists():\n", + " return candidate\n", + " raise FileNotFoundError(\n", + " \"Could not locate examples/TenSolver/results. \"\n", + " \"Run this notebook from the repository root or examples/TenSolver.\"\n", + " )\n", + "\n", + "\n", + "HERE = find_tensolver_dir()\n", + "REPO_ROOT = HERE.parents[1]\n", + "SRC_PATH = REPO_ROOT / \"src\"\n", + "if str(SRC_PATH) not in sys.path:\n", + " sys.path.insert(0, str(SRC_PATH))\n", + "\n", + "RANDOM_SEED = 42\n", + "\n", + "with open(HERE / \"results\" / \"energy_history.json\") as f:\n", " all_data = json.load(f)\n", "\n", "instance = \"323\"\n", @@ -200,7 +224,7 @@ "\n", "ax.set_xlabel(\"Iteration\")\n", "ax.set_ylabel(\"Energy\")\n", - "ax.set_title(f\"Instance {instance} — Energy Distribution per DMRG Iteration\")\n", + "ax.set_title(f\"Instance {instance} - Energy Distribution per DMRG Iteration\")\n", "\n", "fig.colorbar(im, ax=ax, label=\"Sample Count\")\n", "\n", @@ -435,34 +459,38 @@ } ], "source": [ - "import sys, json, os\n", - "sys.path.append(\"../../src\")\n", + "import json\n", + "\n", "import pandas as pd\n", "\n", - "with open(\"results/random_baseline.json\") as f:\n", + "with open(HERE / \"results\" / \"random_baseline.json\") as f:\n", " random_baseline_raw = json.load(f)\n", "\n", - "with open(\"results/gurobi_best.json\") as f:\n", + "with open(HERE / \"results\" / \"gurobi_best.json\") as f:\n", " gurobi_best = json.load(f)\n", "\n", - "# Map QPLIB ID (308-330) → baselines\n", - "# random_baseline.json uses QUBOLib IDs (5808-5830) → shift by 5500\n", + "# Map QPLIB ID (308-330) to baselines\n", + "# random_baseline.json uses QUBOLib IDs (5808-5830), shifted by 5500\n", "# gurobi_best.json uses QPLIB IDs (308-330) directly\n", "baselines = {}\n", "for qplib_id in range(308, 331):\n", " qubolib_key = str(qplib_id + 5500)\n", - " qplib_key = str(qplib_id)\n", + " qplib_key = str(qplib_id)\n", " if qubolib_key in random_baseline_raw and qplib_key in gurobi_best:\n", " rb = random_baseline_raw[qubolib_key]\n", " baselines[qplib_key] = {\n", " \"random_value\": rb[\"random_mean\"],\n", - " \"best_value\": gurobi_best[qplib_key][\"best_objective\"],\n", + " \"best_value\": gurobi_best[qplib_key][\"best_objective\"],\n", " }\n", "\n", - "rows = [{\"instance\": k,\n", - " \"random_mean\": v[\"random_value\"],\n", - " \"gurobi_best\": v[\"best_value\"]}\n", - " for k, v in baselines.items()]\n", + "rows = [\n", + " {\n", + " \"instance\": k,\n", + " \"random_mean\": v[\"random_value\"],\n", + " \"gurobi_best\": v[\"best_value\"],\n", + " }\n", + " for k, v in baselines.items()\n", + "]\n", "pd.DataFrame(rows).set_index(\"instance\")\n" ] }, @@ -720,30 +748,34 @@ "import bootstrap\n", "import success_metrics\n", "\n", + "\n", "class PerfRatioUnclipped(success_metrics.PerfRatio):\n", " def evaluate(self, bs_df, responses, resources):\n", " super().evaluate(bs_df, responses, resources, lower=None, upper=None)\n", "\n", + "\n", "# Load energy history (QPLIB IDs 308-330)\n", - "with open(\"results/energy_history.json\") as f:\n", + "with open(HERE / \"results\" / \"energy_history.json\") as f:\n", " all_data = json.load(f)\n", "\n", + "\n", "def build_granular_df(instance_key, data):\n", " rows = []\n", " for entry in data:\n", " n = len(entry[\"energies\"])\n", " rows.append(pd.DataFrame({\n", - " \"instance\": [int(instance_key)] * n,\n", + " \"instance\": [int(instance_key)] * n,\n", " \"iteration\": [entry[\"iteration\"]] * n,\n", - " \"energy\": entry[\"energies\"],\n", - " \"resource\": np.ones(n, dtype=int),\n", + " \"energy\": entry[\"energies\"],\n", + " \"resource\": np.ones(n, dtype=int),\n", " }))\n", " return pd.concat(rows, ignore_index=True)\n", "\n", + "\n", "# Initialize stochastic_benchmark\n", "sb = SB.stochastic_benchmark(\n", " parameter_names=[\"iteration\", \"samples\"],\n", - " here=os.getcwd(),\n", + " here=str(HERE),\n", " instance_cols=[\"instance\"],\n", " response_key=\"PerfRatio\",\n", " response_dir=1,\n", @@ -754,7 +786,9 @@ "\n", "sample_counts = [1, 10, 100, 1000]\n", "\n", - "# Run bootstrap per instance with hardcoded baselines — avoids update_rule complexity\n", + "np.random.seed(RANDOM_SEED)\n", + "\n", + "# Run bootstrap per instance with hardcoded baselines to keep per-instance references explicit\n", "bs_results = []\n", "for inst_key, data in all_data.items():\n", " if inst_key not in baselines or data is None:\n", @@ -765,10 +799,10 @@ "\n", " bsParams = bootstrap.BootstrapParameters(\n", " shared_args={\n", - " \"response_col\": \"energy\",\n", - " \"resource_col\": \"resource\",\n", - " \"random_value\": baseline[\"random_value\"],\n", - " \"best_value\": baseline[\"best_value\"],\n", + " \"response_col\": \"energy\",\n", + " \"resource_col\": \"resource\",\n", + " \"random_value\": baseline[\"random_value\"],\n", + " \"best_value\": baseline[\"best_value\"],\n", " \"confidence_level\": 68,\n", " },\n", " metric_args={\"Response\": {\"opt_sense\": -1}},\n", @@ -931,13 +965,9 @@ "\n", "train_test_split = 0.8\n", "stParams = stats.StatsParameters(metrics=[\"PerfRatio\"], stats_measures=[stats.Median()])\n", - "sb.run_Stats(stParams, train_test_split)\n", "\n", - "class _PlaceholderBaseline:\n", - " def recalibrate(self, df): pass\n", - "\n", - "if not hasattr(sb, \"baseline\"):\n", - " sb.baseline = _PlaceholderBaseline()\n", + "np.random.seed(RANDOM_SEED)\n", + "sb.run_Stats(stParams, train_test_split)\n", "\n", "sb.run_baseline()\n", "\n", @@ -996,11 +1026,11 @@ "sb.initPlotting()\n", "\n", "fig, axs = sb.plots.plot_performance()\n", - "fig.savefig(\"performance.png\")\n", + "fig.savefig(HERE / \"performance.png\")\n", "\n", "figs, axes = sb.plots.plot_parameters_separate()\n", "for param, fig in figs.items():\n", - " fig.savefig(param + \".png\")\n" + " fig.savefig(HERE / f\"{param}.png\")\n" ] }, { diff --git a/src/stochastic_benchmark.py b/src/stochastic_benchmark.py index 75be4f21..a2c0a18c 100644 --- a/src/stochastic_benchmark.py +++ b/src/stochastic_benchmark.py @@ -251,6 +251,10 @@ def initAll( self.populate_interp_results() def get_experiment_parameters(self) -> ExperimentParameters: + baseline = getattr(self, "baseline", None) + baseline_recalibrate = ( + baseline.recalibrate if baseline is not None else lambda df: None + ) return ExperimentParameters( parameter_names=self.parameter_names, instance_cols=self.instance_cols, @@ -263,7 +267,7 @@ def get_experiment_parameters(self) -> ExperimentParameters: training_stats=self.training_stats, testing_stats=self.testing_stats, evaluate_without_bootstrap=self.evaluate_without_bootstrap, - baseline_recalibrate=self.baseline.recalibrate, + baseline_recalibrate=baseline_recalibrate, ) def run_Bootstrap(self, bsParams_iter, group_name_fcn=None): diff --git a/tests/test_experiments.py b/tests/test_experiments.py index 9b4508b8..a11112d2 100644 --- a/tests/test_experiments.py +++ b/tests/test_experiments.py @@ -167,6 +167,48 @@ def test_run_Interpolate_raises_runtime_error_on_none(self, mock_interp): with pytest.raises(RuntimeError, match="Interpolation failed"): sb.run_Interpolate(iParams) + def test_run_baseline_does_not_require_existing_baseline(self): + """run_baseline should construct the first baseline without a placeholder.""" + import stochastic_benchmark as sb_module + import tempfile + + with tempfile.TemporaryDirectory() as temp_dir: + sb = sb_module.stochastic_benchmark( + here=temp_dir, + response_key="PerfRatio", + response_dir=1, + parameter_names=["iteration", "samples"], + instance_cols=["instance"], + reduce_mem=False, + smooth=False, + ) + sb.interp_results = pd.DataFrame( + { + "instance": [1, 1, 2, 2], + "train": [0, 0, 0, 0], + "resource": [1, 2, 1, 2], + "iteration": [1, 2, 1, 2], + "samples": [1, 1, 1, 1], + "Key=PerfRatio": [0.5, 0.8, 0.6, 0.9], + "ConfInt=lower_Key=PerfRatio": [0.4, 0.7, 0.5, 0.8], + "ConfInt=upper_Key=PerfRatio": [0.6, 0.9, 0.7, 1.0], + } + ) + sb.training_stats = pd.DataFrame() + sb.testing_stats = pd.DataFrame() + sb.stat_params = stats.StatsParameters( + metrics=["PerfRatio"], + stats_measures=[stats.Mean()], + lower_bounds={}, + upper_bounds={}, + ) + + assert not hasattr(sb, "baseline") + + sb.run_baseline() + + assert sb.baseline.name == "VirtualBest" + class TestStochasticBenchmarkUsesLogger: """Tests that stochastic_benchmark uses logger, not print().""" diff --git a/tests/test_tensolver_notebook.py b/tests/test_tensolver_notebook.py new file mode 100644 index 00000000..7e769066 --- /dev/null +++ b/tests/test_tensolver_notebook.py @@ -0,0 +1,52 @@ +"""Smoke checks for the TenSolver example notebook.""" +import json +import os +from pathlib import Path + +import matplotlib + +matplotlib.use("Agg", force=True) + + +REPO_ROOT = Path(__file__).resolve().parents[1] +NOTEBOOK = REPO_ROOT / "examples" / "TenSolver" / "TenSolver.ipynb" + + +def _notebook(): + return json.loads(NOTEBOOK.read_text()) + + +def _code_cell_sources(): + return [ + "".join(cell["source"]) + for cell in _notebook()["cells"] + if cell["cell_type"] == "code" + ] + + +def test_first_tensolver_code_cell_runs_from_repo_root(monkeypatch): + """The notebook should locate its data when launched from the repo root.""" + monkeypatch.chdir(REPO_ROOT) + os.environ.setdefault("MPLBACKEND", "Agg") + + namespace = {"__name__": "__main__"} + exec(compile(_code_cell_sources()[0], str(NOTEBOOK), "exec"), namespace) + + assert namespace["HERE"] == REPO_ROOT / "examples" / "TenSolver" + assert "323" in namespace["all_data"] + + +def test_tensolver_notebook_seeds_stochastic_steps(): + """Bootstrap and train/test split output should be reproducible.""" + source = "\n".join(_code_cell_sources()) + + assert "RANDOM_SEED = " in source + assert source.count("np.random.seed(RANDOM_SEED)") >= 2 + + +def test_tensolver_notebook_uses_example_dir_for_outputs(): + """Checkpoint and plot output should stay in the example directory.""" + source = "\n".join(_code_cell_sources()) + + assert "here=str(HERE)" in source + assert "fig.savefig(HERE / \"performance.png\")" in source From acd63d471f2c23bc32779d40c8a6e1130957ff33 Mon Sep 17 00:00:00 2001 From: "David E. Bernal Neira" Date: Thu, 21 May 2026 09:13:45 -0400 Subject: [PATCH 09/11] Clear TenSolver notebook outputs --- examples/TenSolver/TenSolver.ipynb | 525 +---------------------------- 1 file changed, 11 insertions(+), 514 deletions(-) diff --git a/examples/TenSolver/TenSolver.ipynb b/examples/TenSolver/TenSolver.ipynb index b40136a7..5943baf5 100644 --- a/examples/TenSolver/TenSolver.ipynb +++ b/examples/TenSolver/TenSolver.ipynb @@ -143,21 +143,10 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": null, "id": "1v5cqytvnhf", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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random_meangurobi_best
instance
3081.006-806
309-0.854-440
310-0.024-1686
311-0.842-1542
3120.182-1844
3130.002-614
3140.980-1142
3150.580-688
3160.200-514
3170.068-1402
318-0.594-900
3190.704-1298
3200.324-2022
3210.184-362
322-1.716-1040
32340188.760-23964950
324-115003.933-74347446
325157278.414-68476481
3263487.903-86899
327-489.928-25305
3284284.271-50321
3296463.065-71422
330-4674.083-256359
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" - ], - "text/plain": [ - " random_mean gurobi_best\n", - "instance \n", - "308 1.006 -806\n", - "309 -0.854 -440\n", - "310 -0.024 -1686\n", - "311 -0.842 -1542\n", - "312 0.182 -1844\n", - "313 0.002 -614\n", - "314 0.980 -1142\n", - "315 0.580 -688\n", - "316 0.200 -514\n", - "317 0.068 -1402\n", - "318 -0.594 -900\n", - "319 0.704 -1298\n", - "320 0.324 -2022\n", - "321 0.184 -362\n", - "322 -1.716 -1040\n", - "323 40188.760 -23964950\n", - "324 -115003.933 -74347446\n", - "325 157278.414 -68476481\n", - "326 3487.903 -86899\n", - "327 -489.928 -25305\n", - "328 4284.271 -50321\n", - "329 6463.065 -71422\n", - "330 -4674.083 -256359" - ] - }, - "execution_count": 44, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "import json\n", "\n", @@ -512,236 +318,7 @@ "execution_count": null, "id": "697610bc", "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 10/10 [00:00<00:00, 143.80it/s]\n", - 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instanceiterationKey=ResponseConfInt=lower_Key=ResponseConfInt=upper_Key=ResponseKey=PerfRatioConfInt=lower_Key=PerfRatioConfInt=upper_Key=PerfRatiobootssamples
03081-656.810-661.018320-652.6016800.8151310.8099170.82034611
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" - ], - "text/plain": [ - " instance iteration Key=Response ConfInt=lower_Key=Response \\\n", - "0 308 1 -656.810 -661.018320 \n", - "1 308 2 -691.944 -692.474769 \n", - "2 308 3 -717.696 -724.321477 \n", - "3 308 4 -722.026 -722.251292 \n", - "4 308 5 -724.000 -724.000000 \n", - "\n", - " ConfInt=upper_Key=Response Key=PerfRatio ConfInt=lower_Key=PerfRatio \\\n", - "0 -652.601680 0.815131 0.809917 \n", - "1 -691.413231 0.858668 0.858010 \n", - "2 -711.070523 0.890578 0.882368 \n", - "3 -721.800708 0.895944 0.895665 \n", - "4 -724.000000 0.898390 0.898390 \n", - "\n", - " ConfInt=upper_Key=PerfRatio boots samples \n", - "0 0.820346 1 1 \n", - "1 0.859325 1 1 \n", - "2 0.898788 1 1 \n", - "3 0.896223 1 1 \n", - "4 0.898390 1 1 " - ] - }, - "execution_count": 45, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "import numpy as np\n", "import stochastic_benchmark as SB\n", @@ -846,15 +423,7 @@ "execution_count": null, "id": "d3b4dbf6", "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 1980/1980 [00:03<00:00, 566.80it/s]\n" - ] - } - ], + "outputs": [], "source": [ "import interpolate\n", "\n", @@ -879,28 +448,10 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": null, "id": "171656634ab", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Instance 326 (n=200 variables)\n", - "Samples |Min PerfRatio |At Iter |Max PerfRatio |At Iter \n", - "------------|------------------|----------|------------------|----------\n", - "1 |0.9416 |1 |0.9885 |45 \n", - "------------|------------------|----------|------------------|----------\n", - "10 |0.9470 |1 |0.9885 |39 \n", - "------------|------------------|----------|------------------|----------\n", - "100 |0.9493 |1 |0.9885 |38 \n", - "------------|------------------|----------|------------------|----------\n", - "1000 |0.9504 |1 |0.9885 |35 \n", - "------------|------------------|----------|------------------|----------\n" - ] - } - ], + "outputs": [], "source": [ "# Performance ratio range for instance 326 across sample counts\n", "inst_df = bs_df[bs_df[\"instance\"] == 326]\n", @@ -943,23 +494,7 @@ "execution_count": null, "id": "21136cdd86c", "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 0%| | 0/120 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import plotting\n", "\n", From 82a79009c5a2a15f47a270909aad2b8c02cad3f0 Mon Sep 17 00:00:00 2001 From: jvpcms Date: Thu, 21 May 2026 11:21:44 -0300 Subject: [PATCH 10/11] execute notebook --- examples/TenSolver/TenSolver.ipynb | 469 +++++++++++++++++++++++++++-- 1 file changed, 450 insertions(+), 19 deletions(-) diff --git a/examples/TenSolver/TenSolver.ipynb b/examples/TenSolver/TenSolver.ipynb index 5943baf5..e1c843f2 100644 --- a/examples/TenSolver/TenSolver.ipynb +++ b/examples/TenSolver/TenSolver.ipynb @@ -143,10 +143,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "1v5cqytvnhf", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2026-05-21T14:17:07.561362Z", + "iopub.status.busy": "2026-05-21T14:17:07.561009Z", + "iopub.status.idle": "2026-05-21T14:17:08.234571Z", + "shell.execute_reply": "2026-05-21T14:17:08.233780Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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random_meangurobi_best
instance
3081.006-806
309-0.854-440
310-0.024-1686
311-0.842-1542
3120.182-1844
3130.002-614
3140.980-1142
3150.580-688
3160.200-514
3170.068-1402
318-0.594-900
3190.704-1298
3200.324-2022
3210.184-362
322-1.716-1040
32340188.760-23964950
324-115003.933-74347446
325157278.414-68476481
3263487.903-86899
327-489.928-25305
3284284.271-50321
3296463.065-71422
330-4674.083-256359
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" + ], + "text/plain": [ + " random_mean gurobi_best\n", + "instance \n", + "308 1.006 -806\n", + "309 -0.854 -440\n", + "310 -0.024 -1686\n", + "311 -0.842 -1542\n", + "312 0.182 -1844\n", + "313 0.002 -614\n", + "314 0.980 -1142\n", + "315 0.580 -688\n", + "316 0.200 -514\n", + "317 0.068 -1402\n", + "318 -0.594 -900\n", + "319 0.704 -1298\n", + "320 0.324 -2022\n", + "321 0.184 -362\n", + "322 -1.716 -1040\n", + "323 40188.760 -23964950\n", + "324 -115003.933 -74347446\n", + "325 157278.414 -68476481\n", + "326 3487.903 -86899\n", + "327 -489.928 -25305\n", + "328 4284.271 -50321\n", + "329 6463.065 -71422\n", + "330 -4674.083 -256359" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "import json\n", "\n", @@ -315,10 +523,148 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "id": "697610bc", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2026-05-21T14:17:08.403071Z", + "iopub.status.busy": "2026-05-21T14:17:08.402907Z", + "iopub.status.idle": "2026-05-21T14:17:19.375066Z", + "shell.execute_reply": "2026-05-21T14:17:19.374436Z" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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instanceiterationKey=ResponseConfInt=lower_Key=ResponseConfInt=upper_Key=ResponseKey=PerfRatioConfInt=lower_Key=PerfRatioConfInt=upper_Key=PerfRatiobootssamples
03081-656.540-662.097267-650.9827330.8147970.8079110.82168311
13082-691.914-692.354943-691.4730570.8586310.8580840.85917711
23083-718.004-718.753470-717.2545300.8909600.8900310.89188911
33084-722.026-722.251292-721.8007080.8959440.8956650.89622311
43085-724.000-724.000000-724.0000000.8983900.8983900.89839011
\n", + "
" + ], + "text/plain": [ + " instance iteration Key=Response ConfInt=lower_Key=Response \\\n", + "0 308 1 -656.540 -662.097267 \n", + "1 308 2 -691.914 -692.354943 \n", + "2 308 3 -718.004 -718.753470 \n", + "3 308 4 -722.026 -722.251292 \n", + "4 308 5 -724.000 -724.000000 \n", + "\n", + " ConfInt=upper_Key=Response Key=PerfRatio ConfInt=lower_Key=PerfRatio \\\n", + "0 -650.982733 0.814797 0.807911 \n", + "1 -691.473057 0.858631 0.858084 \n", + "2 -717.254530 0.890960 0.890031 \n", + "3 -721.800708 0.895944 0.895665 \n", + "4 -724.000000 0.898390 0.898390 \n", + "\n", + " ConfInt=upper_Key=PerfRatio boots samples \n", + "0 0.821683 1 1 \n", + "1 0.859177 1 1 \n", + "2 0.891889 1 1 \n", + "3 0.896223 1 1 \n", + "4 0.898390 1 1 " + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "import numpy as np\n", "import stochastic_benchmark as SB\n", @@ -420,9 +766,16 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "d3b4dbf6", - "metadata": {}, + "metadata": { + "execution": { + "iopub.execute_input": "2026-05-21T14:17:19.376897Z", + "iopub.status.busy": "2026-05-21T14:17:19.376719Z", + "iopub.status.idle": "2026-05-21T14:17:22.750365Z", + "shell.execute_reply": "2026-05-21T14:17:22.749758Z" + } + }, "outputs": [], "source": [ "import interpolate\n", @@ -448,10 +801,35 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "id": "171656634ab", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2026-05-21T14:17:22.752724Z", + "iopub.status.busy": "2026-05-21T14:17:22.752576Z", + "iopub.status.idle": "2026-05-21T14:17:22.762703Z", + "shell.execute_reply": "2026-05-21T14:17:22.762009Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Instance 326 (n=200 variables)\n", + "Samples |Min PerfRatio |At Iter |Max PerfRatio |At Iter \n", + "------------|------------------|----------|------------------|----------\n", + "1 |0.9406 |1 |0.9885 |45 \n", + "------------|------------------|----------|------------------|----------\n", + "10 |0.9469 |1 |0.9885 |40 \n", + "------------|------------------|----------|------------------|----------\n", + "100 |0.9493 |1 |0.9885 |38 \n", + "------------|------------------|----------|------------------|----------\n", + "1000 |0.9504 |1 |0.9885 |35 \n", + "------------|------------------|----------|------------------|----------\n" + ] + } + ], "source": [ "# Performance ratio range for instance 326 across sample counts\n", "inst_df = bs_df[bs_df[\"instance\"] == 326]\n", @@ -491,9 +869,16 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "21136cdd86c", - "metadata": {}, + "metadata": { + "execution": { + "iopub.execute_input": "2026-05-21T14:17:22.764151Z", + "iopub.status.busy": "2026-05-21T14:17:22.764011Z", + "iopub.status.idle": "2026-05-21T14:17:22.877103Z", + "shell.execute_reply": "2026-05-21T14:17:22.876537Z" + } + }, "outputs": [], "source": [ "import stats\n", @@ -512,10 +897,48 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "f1d36e2367f", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2026-05-21T14:17:22.879304Z", + "iopub.status.busy": "2026-05-21T14:17:22.879133Z", + "iopub.status.idle": "2026-05-21T14:17:24.511231Z", + "shell.execute_reply": "2026-05-21T14:17:24.510603Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "import plotting\n", "\n", @@ -582,7 +1005,15 @@ "name": "python3" }, "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", "version": "3.13.0" } }, From dc0a082eaf55e1e81a39263b20c3d7d31dddb55b Mon Sep 17 00:00:00 2001 From: "David E. Bernal Neira" Date: Thu, 21 May 2026 14:40:08 -0400 Subject: [PATCH 11/11] Fix late baseline recalibration --- src/stochastic_benchmark.py | 9 ++++---- tests/test_experiments.py | 45 +++++++++++++++++++++++++++++++++++++ 2 files changed, 50 insertions(+), 4 deletions(-) diff --git a/src/stochastic_benchmark.py b/src/stochastic_benchmark.py index a2c0a18c..bc0bf69c 100644 --- a/src/stochastic_benchmark.py +++ b/src/stochastic_benchmark.py @@ -251,10 +251,11 @@ def initAll( self.populate_interp_results() def get_experiment_parameters(self) -> ExperimentParameters: - baseline = getattr(self, "baseline", None) - baseline_recalibrate = ( - baseline.recalibrate if baseline is not None else lambda df: None - ) + def baseline_recalibrate(df): + baseline = getattr(self, "baseline", None) + if baseline is not None: + baseline.recalibrate(df) + return ExperimentParameters( parameter_names=self.parameter_names, instance_cols=self.instance_cols, diff --git a/tests/test_experiments.py b/tests/test_experiments.py index a11112d2..09f71e7e 100644 --- a/tests/test_experiments.py +++ b/tests/test_experiments.py @@ -209,6 +209,51 @@ def test_run_baseline_does_not_require_existing_baseline(self): assert sb.baseline.name == "VirtualBest" + def test_experiment_parameters_recalibrate_late_bound_baseline(self): + """Experiment parameters should recalibrate a baseline added after creation.""" + import stochastic_benchmark as sb_module + import tempfile + + class RecordingBaseline: + def __init__(self): + self.calls = [] + + def recalibrate(self, df): + self.calls.append(df) + + with tempfile.TemporaryDirectory() as temp_dir: + sb = sb_module.stochastic_benchmark( + here=temp_dir, + response_key="PerfRatio", + response_dir=1, + parameter_names=["iteration", "samples"], + instance_cols=["instance"], + reduce_mem=False, + smooth=False, + ) + sb.interp_results = pd.DataFrame() + sb.training_stats = pd.DataFrame() + sb.testing_stats = pd.DataFrame() + sb.stat_params = stats.StatsParameters( + metrics=["PerfRatio"], + stats_measures=[stats.Mean()], + lower_bounds={}, + upper_bounds={}, + ) + + params = sb.get_experiment_parameters() + baseline = RecordingBaseline() + sb.baseline = baseline + experiment = experiments.StaticRecommendationExperiment( + params, + pd.DataFrame({"resource": [1], "iteration": [1], "samples": [1]}), + ) + eval_df = pd.DataFrame({"resource": [1], "response": [0.5]}) + + experiment.attach_runs(eval_df, process=False) + + assert baseline.calls == [eval_df] + class TestStochasticBenchmarkUsesLogger: """Tests that stochastic_benchmark uses logger, not print()."""

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