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plot_weighted_spec_spectrum.py
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459 lines (410 loc) · 16.5 KB
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"""
Render spectrum-tracker GIFs for weighted_spectral_vs_gd outputs.
"""
from __future__ import annotations
import json
from pathlib import Path
from typing import Dict, List
import matplotlib as mpl
mpl.rcParams["font.family"] = "Times New Roman"
mpl.rcParams["mathtext.fontset"] = "stix"
mpl.use("Agg")
import matplotlib.pyplot as plt
import numpy as np
from PIL import Image
LAYER_DISPLAY = {
"layer1": "Layer 1",
"layer2": "Layer 2",
"layer3": "Layer 3",
"layer4": "Layer 4",
}
DEFAULT_COLORS = {
"loss": "#1f77b4",
"layer2": "#ff7f0e",
"layer3": "#2ca02c",
"layer4": "#9467bd",
}
METHOD_LABELS = {
"gradient_descent": r"$\mathtt{GD}$",
"specgd": r"$\mathtt{SpecGD}$",
}
def _load_json(path: Path) -> Dict:
with path.open("r", encoding="utf-8") as f:
return json.load(f)
def _map_stable_rank_series(method_payload: Dict[str, Dict], layers: List[str]) -> Dict[str, Dict[str, List[float]]]:
sr_map = {}
for idx, layer in enumerate(layers, start=1):
source_key = f"layer{idx}"
if source_key in method_payload["activations"]:
sr_map[layer] = method_payload["activations"][source_key]
return sr_map
def _map_grad_rank_series(method_payload: Dict[str, Dict], weights: List[str]) -> Dict[str, Dict[str, List[float]]]:
grad_map = method_payload.get("grad_ratio", {})
series = {}
for weight in weights:
entry = grad_map.get(weight)
series[weight] = entry if entry else {"steps": [], "values": []}
return series
def _global_hist_limits(frames: List[Dict], layers: List[str]) -> Dict[str, float]:
limits = {layer: 1.0 for layer in layers}
for layer in layers:
max_val = 0.0
for frame in frames:
values = frame["spectra"].get(layer, [])
if values:
max_val = max(max_val, max(values))
limits[layer] = max(max_val, 1.0)
return limits
def _render_frame(
*,
frame_step: int,
output_path: Path,
loss_series_map: Dict[str, Dict[str, List[float]]],
sr_series_map: Dict[str, Dict[str, Dict[str, List[float]]]],
layers: List[str],
hist_limits_map: Dict[str, Dict[str, float]],
spectra_map: Dict[str, List[Dict]],
dpi: int,
) -> None:
method_names = list(spectra_map.keys())
extra_rows = max(0, len(method_names) - 1)
fig = plt.figure(figsize=(13, 6 + 2 * extra_rows))
gs = fig.add_gridspec(2 + extra_rows, 6, height_ratios=[1.1, 1] + [1] * extra_rows)
ax_loss = fig.add_subplot(gs[0, 0:3])
ax_sr = fig.add_subplot(gs[0, 3:6])
# Training loss overlay
for method_name, loss_series in loss_series_map.items():
ax_loss.semilogy(
loss_series["steps"],
loss_series["values"],
label=METHOD_LABELS.get(method_name, method_name),
linewidth=2.0,
)
ax_loss.axvline(frame_step, color="#d62728", linestyle="--", linewidth=2.0)
ax_loss.set_title("Training loss", fontsize=18)
ax_loss.set_xlabel("Iteration", fontsize=16)
ax_loss.set_ylabel("MSE", fontsize=16)
ax_loss.grid(True, linestyle="--", alpha=0.4)
ax_loss.tick_params(axis="both", labelsize=14)
ax_loss.legend(fontsize=14)
# Stable rank overlay
for method_name, sr_series in sr_series_map.items():
for layer in layers:
series = sr_series.get(layer)
if not series:
continue
ax_sr.plot(
series["steps"],
series["values"],
label=rf"{METHOD_LABELS.get(method_name, method_name)} {LAYER_DISPLAY.get(layer, layer)}",
linewidth=1.8,
)
ax_sr.axvline(frame_step, color="#d62728", linestyle="--", linewidth=2.0)
ax_sr.set_title("Post-activation stable ranks", fontsize=18)
ax_sr.set_xlabel("Iteration", fontsize=16)
ax_sr.set_ylabel("Stable rank", fontsize=16)
ax_sr.grid(True, linestyle="--", alpha=0.4)
ax_sr.tick_params(axis="both", labelsize=14)
ax_sr.legend(fontsize=12, ncol=2, columnspacing=1.5)
colors = ["#1f77b4", "#ff7f0e", "#2ca02c"]
for row_idx, method_name in enumerate(method_names):
row_axes = [
fig.add_subplot(gs[row_idx + 1, 0:2]),
fig.add_subplot(gs[row_idx + 1, 2:4]),
fig.add_subplot(gs[row_idx + 1, 4:6]),
]
hist_limits = hist_limits_map[method_name]
frame = next((f for f in spectra_map[method_name] if f["step"] == frame_step), None)
for col_idx, layer in enumerate(layers):
ax = row_axes[col_idx]
if frame is None:
ax.axis("off")
continue
singulars = frame["spectra"].get(layer, [])
if not singulars:
ax.axis("off")
continue
singulars_np = np.array(singulars, dtype=np.float64)
bins = min(90, max(20, singulars_np.size // 60))
ax.hist(
singulars_np,
bins=bins,
density=True,
log=True,
color=colors[col_idx % len(colors)],
alpha=0.85,
)
ax.set_xlim(left=0.0, right=hist_limits[layer] * 1.05)
ax.set_title(
rf"{LAYER_DISPLAY.get(layer, layer)} ({METHOD_LABELS.get(method_name, method_name)})",
fontsize=16,
)
ax.set_xlabel("Singular value", fontsize=14)
ax.set_ylabel("Density (log)", fontsize=14)
ax.grid(axis="y", linestyle="--", linewidth=0.5, alpha=0.35)
ax.tick_params(axis="both", labelsize=12)
fig.suptitle(f"Iteration {frame_step}", fontsize=18)
fig.tight_layout(rect=(0, 0, 1, 0.97), w_pad=1.2)
output_path.parent.mkdir(parents=True, exist_ok=True)
fig.savefig(output_path, dpi=dpi, bbox_inches="tight")
plt.close(fig)
def _render_frame_with_grad(
*,
frame_step: int,
output_path: Path,
loss_series_map: Dict[str, Dict[str, List[float]]],
sr_series_map: Dict[str, Dict[str, Dict[str, List[float]]]],
grad_series_map: Dict[str, Dict[str, List[float]]],
layers: List[str],
hist_limits_map: Dict[str, Dict[str, float]],
spectra_map: Dict[str, List[Dict]],
dpi: int,
) -> None:
method_names = list(spectra_map.keys())
extra_rows = max(0, len(method_names) - 1)
fig = plt.figure(figsize=(14, 7 + 2 * extra_rows))
gs = fig.add_gridspec(2 + extra_rows, 9, height_ratios=[1.1, 1] + [1] * extra_rows)
ax_loss = fig.add_subplot(gs[0, 0:3])
ax_sr = fig.add_subplot(gs[0, 3:6])
ax_grad = fig.add_subplot(gs[0, 6:9])
for method_name, loss_series in loss_series_map.items():
ax_loss.semilogy(
loss_series["steps"],
loss_series["values"],
label=METHOD_LABELS.get(method_name, method_name),
linewidth=2.0,
)
ax_loss.axvline(frame_step, color="#d62728", linestyle="--", linewidth=2.0)
ax_loss.set_title("Training loss", fontsize=18)
ax_loss.set_xlabel("Iteration", fontsize=16)
ax_loss.set_ylabel("MSE", fontsize=16)
ax_loss.grid(True, linestyle="--", alpha=0.4)
ax_loss.tick_params(axis="both", labelsize=14)
ax_loss.legend(fontsize=14)
for method_name, sr_series in sr_series_map.items():
for layer in layers:
series = sr_series.get(layer)
if not series:
continue
ax_sr.plot(
series["steps"],
series["values"],
label=rf"{METHOD_LABELS.get(method_name, method_name)} {LAYER_DISPLAY.get(layer, layer)}",
linewidth=1.8,
)
ax_sr.axvline(frame_step, color="#d62728", linestyle="--", linewidth=2.0)
ax_sr.set_title("Post-activation stable ranks", fontsize=18)
ax_sr.set_xlabel("Iteration", fontsize=16)
ax_sr.set_ylabel("Stable rank", fontsize=16)
ax_sr.grid(True, linestyle="--", alpha=0.4)
ax_sr.tick_params(axis="both", labelsize=14)
ax_sr.legend(fontsize=12, ncol=2, columnspacing=1.5)
for method_name, layer_series in grad_series_map.items():
for weight_name, grad_series in layer_series.items():
if not grad_series["steps"]:
continue
ax_grad.plot(
grad_series["steps"],
grad_series["values"],
label=rf"{METHOD_LABELS.get(method_name, method_name)} {weight_name}",
linewidth=1.8,
)
ax_grad.axvline(frame_step, color="#d62728", linestyle="--", linewidth=2.0)
ax_grad.set_title("Gradient nuclear ranks", fontsize=18)
ax_grad.set_xlabel("Iteration", fontsize=16)
ax_grad.set_ylabel("Nuclear rank", fontsize=16)
ax_grad.grid(True, linestyle="--", alpha=0.4)
ax_grad.tick_params(axis="both", labelsize=14)
ax_grad.legend(fontsize=12, ncol=2, columnspacing=1.2)
colors = ["#1f77b4", "#ff7f0e", "#2ca02c"]
for row_idx, method_name in enumerate(method_names):
row_axes = [
fig.add_subplot(gs[row_idx + 1, 0:3]),
fig.add_subplot(gs[row_idx + 1, 3:6]),
fig.add_subplot(gs[row_idx + 1, 6:9]),
]
hist_limits = hist_limits_map[method_name]
frame = next((f for f in spectra_map[method_name] if f["step"] == frame_step), None)
for col_idx, layer in enumerate(layers):
ax = row_axes[col_idx]
if frame is None:
ax.axis("off")
continue
singulars = frame["spectra"].get(layer, [])
if not singulars:
ax.axis("off")
continue
singulars_np = np.array(singulars, dtype=np.float64)
bins = min(90, max(20, singulars_np.size // 60))
ax.hist(
singulars_np,
bins=bins,
density=True,
log=True,
color=colors[col_idx % len(colors)],
alpha=0.85,
)
ax.set_xlim(left=0.0, right=hist_limits[layer] * 1.05)
ax.set_title(
rf"{LAYER_DISPLAY.get(layer, layer)} ({METHOD_LABELS.get(method_name, method_name)})",
fontsize=16,
)
ax.set_xlabel("Singular value", fontsize=14)
ax.set_ylabel("Density (log)", fontsize=14)
ax.grid(axis="y", linestyle="--", linewidth=0.5, alpha=0.35)
ax.tick_params(axis="both", labelsize=12)
fig.suptitle(f"Iteration {frame_step}", fontsize=18)
fig.tight_layout(rect=(0, 0, 1, 0.97), w_pad=1.2)
output_path.parent.mkdir(parents=True, exist_ok=True)
fig.savefig(output_path, dpi=dpi, bbox_inches="tight")
plt.close(fig)
def generate_weighted_spec_spectrum_gif(
*,
log_path: Path,
methods: List[str] | None,
output_dir: Path,
gif_name: str,
fps: float,
dpi: int,
keep_frames: bool,
) -> None:
data = _load_json(log_path)
spectrum_map = data.get("spectrum_gif")
if not isinstance(spectrum_map, dict):
print(f"[spectrum-gif] No spectrum data in {log_path}")
return
frames_per_method: Dict[str, List[Dict]] = {}
loss_series_map: Dict[str, Dict[str, List[float]]] = {}
sr_series_map: Dict[str, Dict[str, Dict[str, List[float]]]] = {}
grad_series_map: Dict[str, Dict[str, Dict[str, List[float]]]] = {}
hist_limits_map: Dict[str, Dict[str, float]] = {}
layers = None
method_names = methods or list(spectrum_map.keys())
for method in method_names:
payload = spectrum_map.get(method)
if payload is None:
print(f"[spectrum-gif] Method '{method}' missing spectrum data; skipping.")
continue
frames = payload.get("frames", [])
if not frames:
continue
frames_per_method[method] = frames
if layers is None:
layers = payload.get("layers", ["layer2", "layer3", "layer4"])
method_payload = data["methods"].get(method)
if method_payload is None:
continue
loss_series_map[method] = method_payload["loss"]
sr_series_map[method] = _map_stable_rank_series(method_payload, layers)
grad_series_map[method] = _map_grad_rank_series(method_payload, ["W1", "W2", "W3"])
hist_limits_map[method] = _global_hist_limits(frames, layers)
if not frames_per_method:
print(f"[spectrum-gif] No spectrum frames to plot in {log_path}")
return
reference_method = next(iter(frames_per_method))
frame_steps = [frame["step"] for frame in frames_per_method[reference_method]]
if not frame_steps or frame_steps[0] != 0:
frame_steps = [0] + frame_steps
max_step = max(frame_steps)
total_steps = spectrum_map[reference_method].get("total_steps")
if total_steps is not None and total_steps not in frame_steps:
frame_steps.append(total_steps)
frames_dir = output_dir / "spectrum_frames"
frames_dir.mkdir(parents=True, exist_ok=True)
frame_paths: List[Path] = []
for idx, step in enumerate(frame_steps):
frame_path = frames_dir / f"frame_{idx:03d}.png"
_render_frame(
frame_step=step,
output_path=frame_path,
loss_series_map=loss_series_map,
sr_series_map=sr_series_map,
layers=layers or ["layer2", "layer3", "layer4"],
hist_limits_map=hist_limits_map,
spectra_map=frames_per_method,
dpi=dpi,
)
frame_paths.append(frame_path)
gif_path = output_dir / (gif_name if gif_name.endswith(".gif") else f"{gif_name}.gif")
images = [Image.open(path).convert("RGB") for path in frame_paths]
duration_ms = max(int(1000 / fps), 1) if fps > 0 else 200
images[0].save(
gif_path,
save_all=True,
append_images=images[1:],
duration=duration_ms,
loop=0,
)
print(f"[spectrum-gif] Saved GIF to {gif_path} ({len(frame_paths)} frames, fps={fps})")
if not keep_frames:
for path in frame_paths:
try:
path.unlink(missing_ok=True)
except OSError:
pass
try:
frames_dir.rmdir()
except OSError:
pass
grad_frames_dir = output_dir / "spectrum_frames_grad"
grad_frames_dir.mkdir(parents=True, exist_ok=True)
grad_frame_paths: List[Path] = []
for idx, step in enumerate(frame_steps):
frame_path = grad_frames_dir / f"frame_{idx:03d}.png"
_render_frame_with_grad(
frame_step=step,
output_path=frame_path,
loss_series_map=loss_series_map,
sr_series_map=sr_series_map,
grad_series_map=grad_series_map,
layers=layers or ["layer2", "layer3", "layer4"],
hist_limits_map=hist_limits_map,
spectra_map=frames_per_method,
dpi=dpi,
)
grad_frame_paths.append(frame_path)
grad_gif_name = gif_name if gif_name.endswith(".gif") else f"{gif_name}.gif"
grad_gif_path = output_dir / grad_gif_name.replace(".gif", "_toprow.gif")
grad_images = [Image.open(path).convert("RGB") for path in grad_frame_paths]
grad_images[0].save(
grad_gif_path,
save_all=True,
append_images=grad_images[1:],
duration=duration_ms,
loop=0,
)
print(f"[spectrum-gif] Saved top-row GIF to {grad_gif_path} ({len(grad_frame_paths)} frames, fps={fps})")
if not keep_frames:
for path in grad_frame_paths:
try:
path.unlink(missing_ok=True)
except OSError:
pass
try:
grad_frames_dir.rmdir()
except OSError:
pass
def main() -> None:
import argparse
parser = argparse.ArgumentParser(description="Render spectrum GIF from weighted_spectral_vs_gd log")
parser.add_argument("--input", type=Path, required=True, help="JSON log produced by weighted_spectral_vs_gd.py")
parser.add_argument("--methods", type=str, nargs="*", default=None, help="Method names to visualize (default: all)")
parser.add_argument("--output-dir", type=Path, default=None, help="Directory for GIF (default: log directory)")
parser.add_argument("--gif-name", type=str, default="spectrum.gif")
parser.add_argument("--fps", type=float, default=1.0)
parser.add_argument("--dpi", type=int, default=200)
parser.add_argument("--keep-frames", action="store_true")
args = parser.parse_args()
output_dir = args.output_dir or args.input.parent
output_dir.mkdir(parents=True, exist_ok=True)
generate_weighted_spec_spectrum_gif(
log_path=args.input,
methods=args.methods,
output_dir=output_dir,
gif_name=args.gif_name,
fps=args.fps,
dpi=args.dpi,
keep_frames=args.keep_frames,
)
if __name__ == "__main__":
main()