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import torch
import torch.nn as nn
import torch.optim as optim
from torchvision import datasets, transforms
from torch.utils.data import DataLoader, random_split
import numpy as np
import matplotlib.pyplot as plt
import tkinter as tk
from tkinter import ttk
from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg
import threading
import queue
import time
# Constants
NUM_PARAMS = 10 # Number of parameters to visualize
VALUE_RANGE = 0.05 # Range of parameter values (-VALUE_RANGE to VALUE_RANGE)
Y_RANGE_MULTIPLIER = 1.0 # Default multiplier for y-axis range
# Queue for communication between training and GUI
data_queue = queue.Queue()
class RescaledSGD(optim.Optimizer):
def __init__(self, params, base_lr=1e-7, peak_lr=1e-4, decay=0.99):
"""
Initializes the RescaledSGD optimizer.
Args:
params (iterable): Iterable of parameters to optimize.
base_lr (float): Base learning rate.
peak_lr (float): Peak learning rate after scaling.
decay (float): Decay factor for persistent gradients.
"""
defaults = dict(base_lr=base_lr, peak_lr=peak_lr, decay=decay)
super(RescaledSGD, self).__init__(params, defaults)
def step(self, closure=None):
"""
Performs a single optimization step with rescaled gradients.
Args:
closure (callable, optional): A closure that reevaluates the model and returns the loss.
Returns:
loss: The loss computed by the closure, if provided.
"""
loss = None
if closure is not None:
loss = closure()
for group in self.param_groups:
base_lr = group['base_lr']
peak_lr = group['peak_lr']
decay = group['decay']
for p in group['params']:
if p.grad is None:
continue
# Initialize state
state = self.state[p]
if 'persistent_grad' not in state:
state['persistent_grad'] = torch.zeros_like(p.data)
# Update persistent gradient with decay
persistent_grad = state['persistent_grad']
persistent_grad.mul_(decay).add_(p.grad.data)
# Compute scaling factors based on min and max parameter updates
# Here, we consider persistent_grad as the update
if persistent_grad.abs().max() != 0 and persistent_grad.abs().min() != 0:
scaling = (persistent_grad.abs() - persistent_grad.abs().min()) / (
persistent_grad.abs().max() - persistent_grad.abs().min() + 1e-8
)
scaled_lr = base_lr + (peak_lr - base_lr) * scaling
scaled_grad = scaled_lr * persistent_grad.sign()
else:
scaled_grad = persistent_grad * (base_lr if persistent_grad.abs().max() == 0 else peak_lr)
scaled_lr = base_lr if persistent_grad.abs().max() == 0 else peak_lr
# Store the effective learning rates for visualization
if 'effective_lr' not in state:
state['effective_lr'] = torch.zeros_like(p.data)
state['effective_lr'].copy_(scaled_lr)
# Update parameters
p.data.add_(scaled_grad, alpha=-1)
return loss
# Simple neural network model for MNIST
class SimpleNet(nn.Module):
def __init__(self, num_params=NUM_PARAMS):
super(SimpleNet, self).__init__()
# Adjusting the network to have NUM_PARAMS for visualization purposes
self.fc1 = nn.Linear(28 * 28, num_params)
self.fc2 = nn.Linear(num_params, 10)
def forward(self, x):
x = x.view(-1, 28 * 28) # Flatten the input tensor
x = torch.relu(self.fc1(x)) # Apply ReLU activation
x = self.fc2(x) # Output layer
return x
# GUI for parameter visualization
class ParameterPlotApp:
def __init__(self, master, optimizers):
self.master = master
master.title("Optimizer Parameter Visualization")
self.optimizers = optimizers # List of optimizer names
self.num_optimizers = len(optimizers)
# Initialize parameter, gradient, and learning rate storage for each optimizer
self.parameters = {opt: np.random.uniform(-VALUE_RANGE, VALUE_RANGE, NUM_PARAMS) for opt in optimizers}
self.gradients = {opt: np.random.uniform(-1, 1, NUM_PARAMS) for opt in optimizers}
self.learning_rates = {opt: np.zeros(NUM_PARAMS) for opt in optimizers}
self.y_range_multiplier = Y_RANGE_MULTIPLIER
# Create notebook for tabs
self.notebook = ttk.Notebook(master)
self.notebook.pack(side=tk.TOP, fill=tk.BOTH, expand=True)
# Dictionaries to hold figures and axes
self.figures = {}
self.axes = {}
self.canvases = {}
# Create a tab for each optimizer
for opt in optimizers:
frame = ttk.Frame(self.notebook)
self.notebook.add(frame, text=opt)
fig, ax = plt.subplots(figsize=(12, 6))
canvas = FigureCanvasTkAgg(fig, master=frame)
canvas.get_tk_widget().pack(side=tk.TOP, fill=tk.BOTH, expand=1)
self.figures[opt] = fig
self.axes[opt] = ax
self.canvases[opt] = canvas
# Controls frame
controls = ttk.Frame(master)
controls.pack(side=tk.BOTTOM, fill=tk.X, padx=10, pady=10)
# Effective Learning Rate label
self.lr_label = ttk.Label(controls, text="Effective Learning Rate: 0.00")
self.lr_label.pack(side=tk.TOP)
# Learning rate slider
self.slider = ttk.Scale(controls, from_=0, to=1, orient=tk.HORIZONTAL, length=300, command=self.update_plot)
self.slider.pack(side=tk.TOP)
# Retain Minimum Scaling checkbox
self.retain_min_var = tk.BooleanVar()
ttk.Checkbutton(controls, text="Retain Minimum Scaling", variable=self.retain_min_var, command=self.update_plot).pack(side=tk.TOP)
# Base Learning Rate input
base_lr_frame = ttk.Frame(controls)
base_lr_frame.pack(side=tk.TOP, pady=5)
ttk.Label(base_lr_frame, text="Base LR:").pack(side=tk.LEFT)
self.base_lr_entry = ttk.Entry(base_lr_frame, width=10)
self.base_lr_entry.insert(0, "1e-7")
self.base_lr_entry.pack(side=tk.LEFT)
ttk.Button(base_lr_frame, text="Update", command=self.update_plot).pack(side=tk.LEFT, padx=5)
# Y-Range Multiplier input
y_range_frame = ttk.Frame(controls)
y_range_frame.pack(side=tk.TOP, pady=5)
ttk.Label(y_range_frame, text="Y-Range Multiplier:").pack(side=tk.LEFT)
self.y_range_entry = ttk.Entry(y_range_frame, width=10)
self.y_range_entry.insert(0, str(Y_RANGE_MULTIPLIER))
self.y_range_entry.pack(side=tk.LEFT)
ttk.Button(y_range_frame, text="Update", command=self.update_y_range).pack(side=tk.LEFT, padx=5)
# Initialize plots for each optimizer
self.update_all_plots()
def get_learning_rate(self):
try:
base_lr = float(self.base_lr_entry.get())
except ValueError:
base_lr = 1e-7
slider_lr = self.slider.get()
return max(base_lr, slider_lr)
def apply_learning_rate(self, gradients, learning_rate):
base_lr = float(self.base_lr_entry.get())
if not self.retain_min_var.get() or learning_rate <= base_lr:
return learning_rate * gradients, np.full_like(gradients, learning_rate)
abs_gradients = np.abs(gradients)
scaled_gradients = (abs_gradients - abs_gradients.min()) / (abs_gradients.max() - abs_gradients.min() + 1e-8) # Avoid division by zero
adjusted_lr = base_lr + (learning_rate - base_lr) * scaled_gradients
return adjusted_lr * gradients, adjusted_lr
def update_y_range(self):
try:
self.y_range_multiplier = float(self.y_range_entry.get())
self.update_all_plots()
except ValueError:
print("Invalid Y-Range Multiplier")
def update_plot(self, *args):
learning_rate = self.get_learning_rate()
self.lr_label.config(text=f"Effective Learning Rate: {learning_rate:.2e}")
# Iterate through each optimizer and update its plot
for opt in self.optimizers:
parameter_changes, effective_lr = self.apply_learning_rate(self.gradients[opt], learning_rate)
updated_parameters = self.parameters[opt] + parameter_changes
ax = self.axes[opt]
ax.clear()
x = np.arange(NUM_PARAMS)
width = 0.35
# Current parameters
ax.bar(x - width / 2, self.parameters[opt], width, label='Current', color='skyblue')
# Updated parameters
ax.bar(x + width / 2, updated_parameters, width, label='Updated', color='lightgreen')
# Plot effective learning rates as a line
ax.plot(x, effective_lr, label='Effective LR', color='orange', marker='o', linestyle='dashed')
# Arrows indicating parameter changes
for i, (current, updated) in enumerate(zip(self.parameters[opt], updated_parameters)):
ax.arrow(i, current, 0, updated - current, color='red', width=0.005,
head_width=0.02, head_length=0.01 * self.y_range_multiplier * VALUE_RANGE)
ax.axhline(y=0, color='r', linestyle='-', linewidth=0.5)
ax.set_xlabel('Parameter Index')
ax.set_ylabel('Value / Effective LR')
ax.set_title(f'{opt} Parameter Changes (LR: {learning_rate:.2e})')
ax.set_ylim(-VALUE_RANGE * self.y_range_multiplier, VALUE_RANGE * self.y_range_multiplier)
ax.legend()
ax.grid(axis='y', linestyle='--', alpha=0.7)
ax.set_xticks(x)
self.canvases[opt].draw()
def update_all_plots(self):
for opt in self.optimizers:
self.update_plot()
def update_parameters(self, optimizer_name, parameters, gradients, effective_lr):
"""
Receives updated parameters, gradients, and effective learning rates from the training loop.
Args:
optimizer_name (str): Name of the optimizer.
parameters (np.ndarray): Current parameter values.
gradients (np.ndarray): Current gradient values.
effective_lr (np.ndarray): Effective learning rates applied to the parameters.
"""
if optimizer_name in self.optimizers:
# Ensure we only take the first NUM_PARAMS for visualization
self.parameters[optimizer_name] = parameters[:NUM_PARAMS]
self.gradients[optimizer_name] = gradients[:NUM_PARAMS]
self.learning_rates[optimizer_name] = effective_lr[:NUM_PARAMS]
self.update_plot()
# Training function for RescaledSGD
def train_rescaled_sgd(model, device, train_loader, optimizer, epoch, log_interval=100, gui_queue=None):
model.train()
criterion = nn.CrossEntropyLoss()
epoch_loss = 0
for batch_idx, (data, target) in enumerate(train_loader):
data, target = data.to(device), target.to(device)
optimizer.zero_grad() # Clear existing gradients
def closure():
"""Closure function to calculate the loss."""
output = model(data)
loss = criterion(output, target)
loss.backward()
return loss
# Perform optimizer step
loss = optimizer.step(closure)
epoch_loss += loss.item()
if batch_idx % log_interval == 0:
print(f'Train Epoch: {epoch} [{batch_idx * len(data)}/{len(train_loader.dataset)} '
f'({100. * batch_idx / len(train_loader):.0f}%)]\tLoss: {loss.item():.6f}')
# Optionally, send parameter updates to GUI
if gui_queue:
with torch.no_grad():
params = model.fc1.weight.data.cpu().numpy().flatten()[:NUM_PARAMS]
grads = model.fc1.weight.grad.data.cpu().numpy().flatten()[:NUM_PARAMS]
# Extract effective learning rates
effective_lr = optimizer.state[model.fc1.weight]['effective_lr'].cpu().numpy().flatten()[:NUM_PARAMS]
gui_queue.put((optimizer.__class__.__name__, params, grads, effective_lr))
return epoch_loss / len(train_loader)
# Standard training function for SGD
def train_standard_sgd(model, device, train_loader, optimizer, epoch, log_interval=100, gui_queue=None):
model.train()
criterion = nn.CrossEntropyLoss()
epoch_loss = 0
for batch_idx, (data, target) in enumerate(train_loader):
data, target = data.to(device), target.to(device)
optimizer.zero_grad() # Clear existing gradients
output = model(data) # Forward pass
loss = criterion(output, target) # Calculate loss
loss.backward() # Backpropagation
optimizer.step() # Optimize
epoch_loss += loss.item()
if batch_idx % log_interval == 0:
print(f'Train Epoch: {epoch} [{batch_idx * len(data)}/{len(train_loader.dataset)} '
f'({100. * batch_idx / len(train_loader):.0f}%)]\tLoss: {loss.item():.6f}')
# Optionally, send parameter updates to GUI
if gui_queue:
with torch.no_grad():
params = model.fc1.weight.data.cpu().numpy().flatten()[:NUM_PARAMS]
grads = model.fc1.weight.grad.data.cpu().numpy().flatten()[:NUM_PARAMS]
# Effective learning rates are fixed for standard SGD (constant)
effective_lr = np.full(NUM_PARAMS, optimizer.param_groups[0]['lr'])
gui_queue.put((optimizer.__class__.__name__, params, grads, effective_lr))
return epoch_loss / len(train_loader)
# Validation function to assess model performance
def validate(model, device, val_loader):
model.eval()
val_loss = 0
correct = 0
criterion = nn.CrossEntropyLoss(reduction='sum')
with torch.no_grad():
for data, target in val_loader:
data, target = data.to(device), target.to(device)
output = model(data)
val_loss += criterion(output, target).item() # Sum up batch loss
pred = output.argmax(dim=1, keepdim=True) # Get index of the max log-probability
correct += pred.eq(target.view_as(pred)).sum().item()
val_loss /= len(val_loader.dataset)
accuracy = 100. * correct / len(val_loader.dataset)
print(f'Validation set: Average loss: {val_loss:.4f}, Accuracy: {correct}/{len(val_loader.dataset)} '
f'({accuracy:.0f}%)\n')
return val_loss, accuracy
# Testing function to measure model accuracy on the test set
def test(model, device, test_loader):
model.eval()
test_loss = 0
correct = 0
criterion = nn.CrossEntropyLoss(reduction='sum')
with torch.no_grad():
for data, target in test_loader:
data, target = data.to(device), target.to(device)
output = model(data)
test_loss += criterion(output, target).item() # Sum up batch loss
pred = output.argmax(dim=1, keepdim=True) # Get index of the max log-probability
correct += pred.eq(target.view_as(pred)).sum().item()
test_loss /= len(test_loader.dataset)
accuracy = 100. * correct / len(test_loader.dataset)
print(f'Test set: Average loss: {test_loss:.4f}, Accuracy: {correct}/{len(test_loader.dataset)} '
f'({accuracy:.0f}%)\n')
return test_loss, accuracy
# Plotting function to visualize training and validation loss
def plot_losses(epochs, train_losses, val_losses, labels, title):
"""Plot the training and validation loss for different optimizers."""
plt.figure(figsize=(10, 6))
for i, loss in enumerate(train_losses):
plt.plot(range(1, epochs + 1), loss, label=f'Train {labels[i]}')
for i, loss in enumerate(val_losses):
plt.plot(range(1, epochs + 1), loss, linestyle='--', label=f'Val {labels[i]}')
plt.xlabel('Epoch')
plt.ylabel('Loss')
plt.title(title)
plt.legend()
plt.grid(True)
plt.show()
# Main script for comprehensive testing and comparison
def main():
# Hyperparameters and setup
batch_size = 64
epochs = 10
base_lr_rescaled_sgd = 1e-7
peak_lr_rescaled_sgd = 1e-4
peak_lr_standard_sgd = 1e-4
decay = 0.99
log_interval = 100
use_cuda = torch.cuda.is_available()
device = torch.device("cuda" if use_cuda else "cpu")
# Data transformation and loaders
transform = transforms.Compose([
transforms.ToTensor(),
transforms.Normalize((0.1307,), (0.3081,))
])
full_dataset = datasets.MNIST('./data', train=True, download=True, transform=transform)
# Split the training set into training and validation sets
train_size = int(0.8 * len(full_dataset))
val_size = len(full_dataset) - train_size
train_dataset, val_dataset = random_split(full_dataset, [train_size, val_size])
train_loader = DataLoader(train_dataset, batch_size=batch_size, shuffle=True)
val_loader = DataLoader(val_dataset, batch_size=1000, shuffle=False)
test_loader = DataLoader(datasets.MNIST('./data', train=False, transform=transform), batch_size=1000, shuffle=False)
# Initialize models and optimizers
model_rescaled_sgd = SimpleNet().to(device)
model_standard_sgd = SimpleNet().to(device)
optimizer_rescaled_sgd = RescaledSGD(model_rescaled_sgd.parameters(),
base_lr=base_lr_rescaled_sgd,
peak_lr=peak_lr_rescaled_sgd,
decay=decay)
optimizer_standard_sgd = optim.SGD(model_standard_sgd.parameters(),
lr=peak_lr_standard_sgd)
# Track losses for plotting
rescaled_sgd_train_losses, rescaled_sgd_val_losses = [], []
standard_sgd_train_losses, standard_sgd_val_losses = [], []
# Initialize GUI with both optimizers
root = tk.Tk()
app = ParameterPlotApp(root, optimizers=['RescaledSGD', 'StandardSGD'])
# Function to handle incoming data from the training thread
def handle_queue():
try:
while not data_queue.empty():
item = data_queue.get_nowait()
if item[0] == 'plot_losses':
_, epochs_, rescaled_train, standard_train, rescaled_val, standard_val = item
plot_losses(epochs_,
[rescaled_train, standard_train],
[rescaled_val, standard_val],
['RescaledSGD', 'StandardSGD'],
'Training & Validation Loss Comparison')
else:
optimizer_name, params, grads, effective_lr = item
app.update_parameters(optimizer_name, params, grads, effective_lr)
except queue.Empty:
pass
# Schedule the next queue check
root.after(100, handle_queue)
# Start handling the queue
root.after(100, handle_queue)
# Training loop in a separate thread
def training_loop():
for epoch in range(1, epochs + 1):
print(f"--- Epoch {epoch} ---")
# Train RescaledSGD
rescaled_train_loss = train_rescaled_sgd(model_rescaled_sgd, device, train_loader, optimizer_rescaled_sgd, epoch, log_interval, gui_queue=data_queue)
rescaled_val_loss, rescaled_val_acc = validate(model_rescaled_sgd, device, val_loader)
rescaled_sgd_train_losses.append(rescaled_train_loss)
rescaled_sgd_val_losses.append(rescaled_val_loss)
# Train Standard SGD
standard_train_loss = train_standard_sgd(model_standard_sgd, device, train_loader, optimizer_standard_sgd, epoch, log_interval, gui_queue=data_queue)
standard_val_loss, standard_val_acc = validate(model_standard_sgd, device, val_loader)
standard_sgd_train_losses.append(standard_train_loss)
standard_sgd_val_losses.append(standard_val_loss)
# After training, send a message to plot the losses
data_queue.put(('plot_losses', epochs,
rescaled_sgd_train_losses, standard_sgd_train_losses,
rescaled_sgd_val_losses, standard_sgd_val_losses))
# Test the models and output results
print("Testing RescaledSGD Model")
test(model_rescaled_sgd, device, test_loader)
print("Testing StandardSGD Model")
test(model_standard_sgd, device, test_loader)
# Start the training thread
training_thread = threading.Thread(target=training_loop)
training_thread.start()
# Start the GUI main loop
root.mainloop()
if __name__ == '__main__':
main()