experiments / exp2a_swap_analysis /compute_swap_cosine.py
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#!/usr/bin/env python3
"""
Post-hoc Analysis: cos(original, swapped) per sample
Loads saved vectors_{scale}.npz from exp2a_swap_analysis results,
computes cosine similarity between original and swapped embeddings per sample,
and reports category-level statistics.
This measures whether the model's representation actually changes when
obj1↔obj2 are swapped — the fundamental test of spatial relation encoding.
Usage:
python compute_swap_cosine.py --model_type molmo
python compute_swap_cosine.py --model_type molmo --results_dir /path/to/results
"""
import os
import json
import argparse
import numpy as np
import pandas as pd
import matplotlib
matplotlib.use('Agg')
import matplotlib.pyplot as plt
CATEGORY_ORDER = ['left', 'right', 'above', 'under', 'far', 'close']
GROUP_MAP = {
'left': 'horizontal', 'right': 'horizontal',
'above': 'vertical', 'under': 'vertical',
'far': 'distance', 'close': 'distance',
}
GROUP_ORDER = ['horizontal', 'vertical', 'distance']
SCALE_COLORS = {
'vanilla': '#1f77b4', '80k': '#ff7f0e', '400k': '#2ca02c',
'800k': '#d62728', '2m': '#9467bd', 'roborefer': '#8c564b',
}
def cosine_sim_per_sample(orig: np.ndarray, swap: np.ndarray) -> np.ndarray:
"""Compute cosine similarity per row (sample)."""
# orig, swap: (N, D)
dot = np.sum(orig * swap, axis=1)
norm_o = np.linalg.norm(orig, axis=1)
norm_s = np.linalg.norm(swap, axis=1)
return dot / (norm_o * norm_s + 1e-10)
def analyze_scale(npz_path: str, scale: str) -> dict:
"""Analyze one scale's NPZ file. Returns dict of results."""
data = np.load(npz_path, allow_pickle=True)
# Find available layers
layer_keys = sorted([k for k in data.files if k.startswith('orig_L')])
layers = [int(k.replace('orig_L', '')) for k in layer_keys]
scale_results = {}
for layer in layers:
orig = data.get(f'orig_L{layer}')
swap = data.get(f'swap_L{layer}')
labels = data.get(f'labels_L{layer}')
if orig is None or swap is None or labels is None:
continue
labels = np.array([str(l) for l in labels])
cos_sims = cosine_sim_per_sample(orig, swap)
layer_result = {
'overall_mean': float(np.mean(cos_sims)),
'overall_std': float(np.std(cos_sims)),
'overall_n': len(cos_sims),
}
# Per category
for cat in CATEGORY_ORDER:
mask = labels == cat
if mask.any():
cat_sims = cos_sims[mask]
layer_result[f'{cat}_mean'] = float(np.mean(cat_sims))
layer_result[f'{cat}_std'] = float(np.std(cat_sims))
layer_result[f'{cat}_n'] = int(mask.sum())
# Per group
for group in GROUP_ORDER:
group_cats = [c for c in CATEGORY_ORDER if GROUP_MAP[c] == group]
mask = np.isin(labels, group_cats)
if mask.any():
group_sims = cos_sims[mask]
layer_result[f'{group}_mean'] = float(np.mean(group_sims))
layer_result[f'{group}_std'] = float(np.std(group_sims))
scale_results[layer] = layer_result
return scale_results
def plot_swap_cosine_by_layer(
all_results: dict, # {scale: {layer: {category_mean, ...}}}
model_type: str,
save_path: str,
):
"""Plot cos(orig, swap) across layers for each scale."""
fig, axes = plt.subplots(1, 3, figsize=(21, 6))
scale_order = ['vanilla', '80k', '400k', '800k', '2m', 'roborefer']
for idx, group in enumerate(GROUP_ORDER):
ax = axes[idx]
for scale in scale_order:
if scale not in all_results:
continue
results = all_results[scale]
layers = sorted(results.keys())
vals = [results[l].get(f'{group}_mean', np.nan) for l in layers]
color = SCALE_COLORS.get(scale, 'gray')
ax.plot(layers, vals, '-o', color=color, label=scale, linewidth=2, markersize=5)
ax.set_xlabel('Layer Index', fontsize=11)
ax.set_ylabel('cos(original, swapped)', fontsize=11)
ax.set_title(f'{group}', fontsize=13, fontweight='bold')
ax.legend(fontsize=9)
ax.grid(True, alpha=0.3)
ax.set_ylim(None, 1.02)
fig.suptitle(
f'{model_type.upper()} - cos(original, swapped) Across Layers\n'
f'(Lower = model distinguishes swap more)',
fontsize=14, fontweight='bold', y=1.04
)
plt.tight_layout()
plt.savefig(save_path, dpi=300, bbox_inches='tight')
plt.close()
print(f"Saved: {save_path}")
def plot_swap_cosine_barplot(
all_results: dict,
model_type: str,
save_path: str,
):
"""Bar plot at deepest layer: per-category cos(orig, swap) across scales."""
scale_order = ['vanilla', '80k', '400k', '800k', '2m', 'roborefer']
available_scales = [s for s in scale_order if s in all_results]
if not available_scales:
return
# Use deepest layer
sample_layers = sorted(all_results[available_scales[0]].keys())
deepest = sample_layers[-1]
fig, ax = plt.subplots(figsize=(14, 6))
x = np.arange(len(CATEGORY_ORDER))
width = 0.8 / len(available_scales)
for i, scale in enumerate(available_scales):
results = all_results[scale]
if deepest not in results:
continue
layer_data = results[deepest]
vals = [layer_data.get(f'{cat}_mean', 0) for cat in CATEGORY_ORDER]
offset = (i - len(available_scales) / 2 + 0.5) * width
color = SCALE_COLORS.get(scale, 'gray')
bars = ax.bar(x + offset, vals, width, label=scale, color=color)
for bar, val in zip(bars, vals):
if val > 0:
ax.annotate(f'{val:.3f}', xy=(bar.get_x() + bar.get_width() / 2, bar.get_height()),
xytext=(0, 2), textcoords='offset points',
ha='center', va='bottom', fontsize=6, rotation=90)
ax.set_xticks(x)
ax.set_xticklabels(CATEGORY_ORDER, fontsize=11)
ax.set_ylabel('cos(original, swapped)', fontsize=12)
ax.set_title(f'{model_type.upper()} - Layer {deepest}: cos(original, swapped) by Category\n'
f'(Lower = model representation changes more on swap)',
fontsize=13, fontweight='bold')
ax.legend(fontsize=9)
ax.grid(True, alpha=0.3, axis='y')
plt.tight_layout()
plt.savefig(save_path, dpi=300, bbox_inches='tight')
plt.close()
print(f"Saved: {save_path}")
def plot_swap_cosine_distribution(
all_results_raw: dict, # {scale: {layer: {'sims': array, 'labels': array}}}
model_type: str,
save_dir: str,
):
"""Histogram of per-sample cos(orig, swap) at deepest layer, per group."""
scale_order = ['vanilla', '80k', '400k', '800k', '2m', 'roborefer']
available_scales = [s for s in scale_order if s in all_results_raw]
if not available_scales:
return
sample_layers = sorted(all_results_raw[available_scales[0]].keys())
deepest = sample_layers[-1]
for group in GROUP_ORDER:
fig, axes = plt.subplots(1, len(available_scales), figsize=(5 * len(available_scales), 4),
sharey=True, sharex=True)
if len(available_scales) == 1:
axes = [axes]
for i, scale in enumerate(available_scales):
ax = axes[i]
raw = all_results_raw[scale].get(deepest)
if raw is None:
continue
sims = raw['sims']
labels = raw['labels']
group_cats = [c for c in CATEGORY_ORDER if GROUP_MAP[c] == group]
mask = np.isin(labels, group_cats)
if mask.any():
group_sims = sims[mask]
ax.hist(group_sims, bins=30, alpha=0.7, color=SCALE_COLORS.get(scale, 'gray'),
edgecolor='white', linewidth=0.5)
ax.axvline(np.mean(group_sims), color='red', linestyle='--', linewidth=1.5,
label=f'mean={np.mean(group_sims):.3f}')
ax.legend(fontsize=8)
ax.set_title(f'{scale}', fontsize=11, fontweight='bold')
ax.set_xlabel('cos(orig, swap)', fontsize=9)
if i == 0:
ax.set_ylabel('Count', fontsize=9)
fig.suptitle(f'{model_type.upper()} - {group} - Layer {deepest}: Distribution of cos(orig, swap)',
fontsize=13, fontweight='bold')
plt.tight_layout()
plt.savefig(os.path.join(save_dir, f'swap_cosine_dist_{group}.png'), dpi=200, bbox_inches='tight')
plt.close()
print(f"Saved distribution plots to {save_dir}")
def main():
parser = argparse.ArgumentParser(description='Post-hoc: cos(original, swapped) analysis')
parser.add_argument('--model_type', type=str, required=True, choices=['molmo', 'nvila', 'qwen'])
parser.add_argument('--results_dir', type=str,
default='/data/shared/Qwen/experiments/exp2a_swap_analysis/results')
args = parser.parse_args()
model_dir = os.path.join(args.results_dir, args.model_type)
plots_dir = os.path.join(model_dir, 'plots')
os.makedirs(plots_dir, exist_ok=True)
scale_order = ['vanilla', '80k', '400k', '800k', '2m', 'roborefer']
all_results = {} # {scale: {layer: stats_dict}}
all_results_raw = {} # {scale: {layer: {'sims': array, 'labels': array}}}
for scale in scale_order:
npz_path = os.path.join(model_dir, f'vectors_{scale}.npz')
if not os.path.exists(npz_path):
continue
print(f"\nProcessing {args.model_type} - {scale}")
results = analyze_scale(npz_path, scale)
all_results[scale] = results
# Also extract raw per-sample cosines for distribution plots
data = np.load(npz_path, allow_pickle=True)
raw_layers = {}
for layer in sorted(results.keys()):
orig = data.get(f'orig_L{layer}')
swap = data.get(f'swap_L{layer}')
labels = data.get(f'labels_L{layer}')
if orig is not None and swap is not None and labels is not None:
sims = cosine_sim_per_sample(orig, swap)
raw_layers[layer] = {
'sims': sims,
'labels': np.array([str(l) for l in labels]),
}
all_results_raw[scale] = raw_layers
# Print summary for deepest layer
deepest = sorted(results.keys())[-1]
r = results[deepest]
print(f" Layer {deepest} (deepest):")
print(f" Overall: {r['overall_mean']:.4f} ± {r['overall_std']:.4f} (n={r['overall_n']})")
for cat in CATEGORY_ORDER:
m = r.get(f'{cat}_mean')
s = r.get(f'{cat}_std')
n = r.get(f'{cat}_n', 0)
if m is not None:
print(f" {cat:>6s}: {m:.4f} ± {s:.4f} (n={n})")
if not all_results:
print("No data found. Check results_dir.")
return
# Save JSON
json_data = {}
for scale, layers in all_results.items():
json_data[scale] = {str(l): v for l, v in layers.items()}
json_path = os.path.join(model_dir, 'swap_cosine_stats.json')
with open(json_path, 'w') as f:
json.dump(json_data, f, indent=2)
print(f"\nSaved stats: {json_path}")
# Save CSV (one row per scale×layer)
csv_rows = []
for scale, layers in all_results.items():
for layer, stats in sorted(layers.items()):
row = {'scale': scale, 'layer': layer}
row.update(stats)
csv_rows.append(row)
csv_path = os.path.join(model_dir, 'swap_cosine_stats.csv')
pd.DataFrame(csv_rows).to_csv(csv_path, index=False)
print(f"Saved CSV: {csv_path}")
# Plots
plot_swap_cosine_by_layer(all_results, args.model_type,
os.path.join(plots_dir, 'swap_cosine_by_layer.png'))
plot_swap_cosine_barplot(all_results, args.model_type,
os.path.join(plots_dir, 'swap_cosine_barplot.png'))
plot_swap_cosine_distribution(all_results_raw, args.model_type, plots_dir)
print(f"\nDone. Results in: {model_dir}")
if __name__ == '__main__':
main()