experiments / plot_entanglement.py
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#!/usr/bin/env python3
"""Compute and plot VD/HD/HV entanglement metrics across all layers for all scales.
Definitions (values come from the delta-similarity CSV heatmaps, where each cell is
the cosine similarity between the mean delta vector of row-category and col-category):
VD-entanglement = 1/4 * (mean(above-far, below-close) - mean(above-close, below-far))
HD-entanglement = 1/4 * (mean(left-far, right-close) - mean(left-close, right-far))
HV-entanglement = 1/4 * (mean(left-above, right-below) - mean(left-below, right-above))
Note: 'below' is stored as 'under' in the CSV. The script handles both transparently.
Positive value = the two axes are more entangled in the "expected" direction
(e.g. above↔far, left↔above) than in the "unexpected" direction.
Single directory: color by scale (vanilla=blue, 80k=orange, …)
Multiple directories: color by model family, linestyle by scale
Usage (single dir):
python plot_entanglement.py results_short_answer/molmo
python plot_entanglement.py results_short_answer/molmo --subset both_correct
Usage (multiple dirs β€” compare families):
python plot_entanglement.py results_short_answer/molmo results_short_answer/nvila results_short_answer/qwen
python plot_entanglement.py results_short_answer/molmo results_short_answer/nvila --out-dir /tmp/compare
"""
import argparse
import re
from pathlib import Path
from collections import defaultdict
import numpy as np
import pandas as pd
import matplotlib
matplotlib.use('Agg')
import matplotlib.pyplot as plt
# ── Scale ordering and colors (kept in sync with swap_analysis.py) ────────────
SCALE_ORDER = [
'vanilla', '80k', '80k-5pct', '80k-10pct', '80k-20pct', '80k-30pct',
'400k', '400k-5pct', '800k', '800k-5pct', '2m', 'roborefer',
'molmo2', 'qwen3_32b', 'qwen3_235b',
]
# Used in single-dir mode (one color per scale)
SCALE_COLORS = {
'vanilla': '#1f77b4', '80k': '#ff7f0e', '400k': '#2ca02c',
'800k': '#d62728', '2m': '#9467bd', 'roborefer': '#8c564b',
'molmo2': '#17becf', 'qwen3_32b': '#bcbd22', 'qwen3_235b':'#e377c2',
'80k-5pct': '#b2dfdb', '80k-10pct': '#00b894', '80k-20pct': '#00897b',
'80k-30pct': '#004d40', '400k-5pct': '#66bb6a', '800k-5pct': '#ef9a9a',
}
SCALE_DISPLAY_NAMES = {
'80k-5pct': '80k 5%', '80k-10pct': '80k 10%',
'80k-20pct': '80k 20%', '80k-30pct': '80k 30%',
'400k-5pct': '400k 5%', '800k-5pct': '800k 5%',
}
# Used in multi-dir mode (one color per model family, one linestyle per scale)
FAMILY_COLOR_CYCLE = [
'#1f77b4', # blue
'#d62728', # red
'#2ca02c', # green
'#ff7f0e', # orange
'#9467bd', # purple
'#8c564b', # brown
'#e377c2', # pink
'#17becf', # cyan
'#bcbd22', # yellow-green
]
SCALE_LINESTYLE_CYCLE = [
'solid',
'dashed',
'dotted',
'dashdot',
(0, (5, 1)), # long dash
(0, (3, 1, 1, 1)), # dash-dot-dot
(0, (1, 1)), # dotted dense
(0, (5, 5)), # long dash sparse
]
# ── CSV helpers ────────────────────────────────────────────────────────────────
_CSV_RE = re.compile(r'^delta_similarity_(.+)_L(\d+)_(all_pairs|both_correct)\.csv$')
def _loc(df: pd.DataFrame, row: str, col: str) -> float:
"""Look up (row, col) with 'under' ↔ 'below' aliasing."""
aliases = {'below': 'under', 'under': 'below'}
r = row if row in df.index else aliases.get(row, row)
c = col if col in df.columns else aliases.get(col, col)
if r not in df.index or c not in df.columns:
return float('nan')
return float(df.loc[r, c])
def compute_entanglement(df: pd.DataFrame) -> dict:
"""Compute VD, HD, HV entanglement from a 6Γ—6 delta-similarity DataFrame.
Each metric is the difference of two means of cosine similarities (range [-2, 2]),
divided by 4 to normalise to [-0.5, 0.5].
"""
vd = (_loc(df, 'above', 'far') + _loc(df, 'below', 'close') -
_loc(df, 'above', 'close') - _loc(df, 'below', 'far')) / 4
hd = (_loc(df, 'left', 'far') + _loc(df, 'right', 'close') -
_loc(df, 'left', 'close') - _loc(df, 'right', 'far')) / 4
hv = (_loc(df, 'left', 'above') + _loc(df, 'right', 'below') -
_loc(df, 'left', 'below') - _loc(df, 'right', 'above')) / 4
return {'VD': vd, 'HD': hd, 'HV': hv}
def load_entanglement(csv_dir: Path, subset: str) -> dict:
"""
Returns:
{scale: {layer_int: {'VD': float, 'HD': float, 'HV': float}}}
"""
data = defaultdict(dict)
for fname in sorted(csv_dir.iterdir()):
m = _CSV_RE.match(fname.name)
if not m:
continue
scale, layer_str, file_subset = m.group(1), m.group(2), m.group(3)
if file_subset != subset:
continue
layer = int(layer_str)
try:
df = pd.read_csv(fname, index_col=0)
except Exception as e:
print(f" [warn] Could not read {fname.name}: {e}")
continue
data[scale][layer] = compute_entanglement(df)
return dict(data)
def _scale_sort_key(s):
return SCALE_ORDER.index(s) if s in SCALE_ORDER else 99
# ── Plotting ──────────────────────────────────────────────────────────────────
METRICS = [
('VD', 'Vertical-Distance Entanglement\nmean(above-far, below-close) βˆ’ mean(above-close, below-far)'),
('HD', 'Horizontal-Distance Entanglement\nmean(left-far, right-close) βˆ’ mean(left-close, right-far)'),
# ('HV', 'HV-Entanglement\nmean(left-above, right-below) βˆ’ mean(left-below, right-above)'),
]
def plot_entanglement_single(scale_data: dict, model_type: str,
subset: str, save_path: Path):
"""Single directory: color by scale."""
fig, axes = plt.subplots(1, 2, figsize=(12, 5))
for ax, (metric_key, metric_label) in zip(axes, METRICS):
for scale in SCALE_ORDER:
if scale not in scale_data:
continue
layer_dict = scale_data[scale]
layers = sorted(layer_dict.keys())
vals = [layer_dict[l][metric_key] for l in layers]
if not any(np.isfinite(v) for v in vals):
continue
ax.plot(
layers, vals, '-',
color=SCALE_COLORS.get(scale, 'gray'),
label=SCALE_DISPLAY_NAMES.get(scale, scale),
linewidth=2,
)
_style_ax(ax, metric_label)
tag = 'Both-Correct' if subset == 'both_correct' else 'All Pairs'
fig.suptitle(
f'{model_type.upper()} β€” Entanglement Metrics Across Layers [{tag}]',
fontsize=13, fontweight='bold',
)
_save(fig, save_path)
def plot_entanglement_multi(family_data: dict, subset: str, save_path: Path):
"""Multiple directories: color by family, linestyle by scale."""
# Collect all scales across all families (in canonical order)
all_scales = sorted(
{s for scales in family_data.values() for s in scales},
key=_scale_sort_key,
)
families = list(family_data.keys()) # preserve insertion order
# Assign colors to families and linestyles to scales
family_color = {f: FAMILY_COLOR_CYCLE[i % len(FAMILY_COLOR_CYCLE)]
for i, f in enumerate(families)}
scale_ls = {s: SCALE_LINESTYLE_CYCLE[i % len(SCALE_LINESTYLE_CYCLE)]
for i, s in enumerate(all_scales)}
fig, axes = plt.subplots(1, 2, figsize=(12, 5))
for ax, (metric_key, metric_label) in zip(axes, METRICS):
for family in families:
scale_data = family_data[family]
color = family_color[family]
for scale in all_scales:
if scale not in scale_data:
continue
layer_dict = scale_data[scale]
layers = sorted(layer_dict.keys())
vals = [layer_dict[l][metric_key] for l in layers]
if not any(np.isfinite(v) for v in vals):
continue
scale_disp = SCALE_DISPLAY_NAMES.get(scale, scale)
ax.plot(
layers, vals,
color=color,
linestyle=scale_ls[scale],
label=f'{family} {scale_disp}',
linewidth=2,
)
_style_ax(ax, metric_label)
tag = 'Both-Correct' if subset == 'both_correct' else 'All Pairs'
title_families = ' vs '.join(f.upper() for f in families)
fig.suptitle(
f'{title_families} β€” Entanglement Metrics Across Layers [{tag}]',
fontsize=13, fontweight='bold',
)
_save(fig, save_path)
def _style_ax(ax, title: str):
ax.axhline(y=0, color='gray', linestyle='--', alpha=0.5, linewidth=1)
ax.set_xlabel('Layer Index', fontsize=11)
ax.set_ylabel('Entanglement', fontsize=11)
ax.set_ylim(-1, 1)
ax.set_title(title, fontsize=10, fontweight='bold')
ax.legend(fontsize=9)
ax.grid(True, alpha=0.3)
def _save(fig, save_path: Path):
plt.tight_layout()
save_path.parent.mkdir(parents=True, exist_ok=True)
plt.savefig(save_path, dpi=300, bbox_inches='tight')
plt.close()
print(f"Saved: {save_path}")
# ── Main ──────────────────────────────────────────────────────────────────────
def main():
parser = argparse.ArgumentParser(
description='Plot VD/HD/HV entanglement metrics from saved delta-similarity CSVs.',
formatter_class=argparse.RawDescriptionHelpFormatter,
epilog=__doc__,
)
parser.add_argument('results_dirs', nargs='+', type=str,
help='One or more results directories '
'(e.g. results_short_answer/molmo results_short_answer/nvila)')
parser.add_argument('--subset', choices=['all_pairs', 'both_correct'], default='all_pairs',
help='Which CSV subset to use (default: all_pairs)')
parser.add_argument('--scales', nargs='+', default=None,
help='Restrict to these scales (default: all found)')
parser.add_argument('--out-dir', type=str, default=None,
help='Output directory. Single dir default: {results_dir}/plots/entanglement/. '
'Multi dir default: {common_parent}/entanglement_compare/')
args = parser.parse_args()
# Resolve and validate all directories
dirs = []
for p in args.results_dirs:
d = Path(p).resolve()
if not d.is_dir():
parser.error(f'Directory not found: {d}')
csv_dir = d / 'csv'
if not csv_dir.is_dir():
parser.error(f'No csv/ subdirectory in: {d}')
dirs.append(d)
multi = len(dirs) > 1
subset = args.subset
tag = 'Both-Correct' if subset == 'both_correct' else 'All Pairs'
# Determine output path
if args.out_dir:
out_dir = Path(args.out_dir)
elif multi:
common = dirs[0].parent
out_dir = common / 'entanglement_compare'
else:
out_dir = dirs[0] / 'plots' / 'entanglement'
print(f"Subset : {subset}")
print(f"Output dir : {out_dir}")
print()
# Load data from all directories
family_data = {} # {model_type: {scale: {layer: entanglement}}}
for d in dirs:
model_type = d.name
scale_data = load_entanglement(d / 'csv', subset)
if not scale_data:
print(f"[warn] No matching CSVs in {d}/csv β€” skipping")
continue
if args.scales:
scale_data = {s: v for s, v in scale_data.items() if s in args.scales}
found = sorted(scale_data.keys(), key=_scale_sort_key)
print(f" {model_type}: {len(found)} scales β€” {found}")
for s in found:
layers = sorted(scale_data[s].keys())
deepest = layers[-1]
e = scale_data[s][deepest]
vd = f"{e['VD']:>7.4f}" if np.isfinite(e['VD']) else ' nan'
hd = f"{e['HD']:>7.4f}" if np.isfinite(e['HD']) else ' nan'
hv = f"{e['HV']:>7.4f}" if np.isfinite(e['HV']) else ' nan'
print(f" {s:<15} L{deepest:>2} VD={vd} HD={hd} HV={hv}")
family_data[model_type] = scale_data
if not family_data:
print("[error] No data loaded from any directory.")
return
print()
if multi:
families_tag = '_'.join(family_data.keys())
save_path = out_dir / f'entanglement_{families_tag}_{subset}.png'
plot_entanglement_multi(family_data, subset, save_path)
else:
model_type = list(family_data.keys())[0]
save_path = out_dir / f'entanglement_{subset}.png'
plot_entanglement_single(family_data[model_type], model_type, subset, save_path)
if __name__ == '__main__':
main()