| import os |
| import argparse |
| import pandas as pd |
| import numpy as np |
| import matplotlib.pyplot as plt |
| import seaborn as sns |
| from matplotlib.lines import Line2D |
| import warnings |
|
|
| warnings.simplefilter("ignore", UserWarning) |
|
|
| SCRIPT_DIR = os.path.dirname(os.path.abspath(__file__)) |
| OUTPUT_DIR = os.path.join(SCRIPT_DIR, "summarize_metrics", "plots") |
|
|
| COLORS = { |
| 'Molmo': '#1f77b4', |
| 'NVILA': '#ff7f0e', |
| 'NVILA-ST': '#cc5500', |
| 'Qwen': '#2ca02c', |
| 'RoboRefer':'#d62728', |
| } |
| SCALE_ORDER = ['vanilla', '80k', '400k', '800k', '2M'] |
| ST_SCALE_ORDER = ['80k', '400k', '800k'] |
|
|
| CUSTOM_LINES = [ |
| Line2D([0], [0], marker='o', color='w', markerfacecolor=COLORS['Molmo'], markersize=10, label='Molmo'), |
| Line2D([0], [0], marker='o', color='w', markerfacecolor=COLORS['NVILA'], markersize=10, label='NVILA'), |
| Line2D([0], [0], marker='o', color='w', markerfacecolor=COLORS['NVILA-ST'], markeredgecolor='black', markersize=11, label='NVILA-ST'), |
| Line2D([0], [0], marker='o', color='w', markerfacecolor=COLORS['Qwen'], markersize=10, label='Qwen'), |
| Line2D([0], [0], marker='*', color='w', markerfacecolor=COLORS['RoboRefer'],markeredgecolor='black', markersize=18, label='RoboRefer'), |
| ] |
|
|
|
|
| def load_and_preprocess(path: str) -> pd.DataFrame: |
| df = pd.read_csv(path) |
|
|
| df.rename(columns={ |
| 'EmbSpatial (con)': 'EmbSpatial Acc (con)', |
| 'EmbSpatial (ctr)': 'EmbSpatial Acc (ctr)', |
| 'CVBench3D (con)': 'CVBench3D Acc (con)', |
| 'CVBench3D (ctr)': 'CVBench3D Acc (ctr)', |
| }, inplace=True) |
|
|
| for col in ['EmbSpatial Acc (con)', 'EmbSpatial Acc (ctr)', |
| 'CVBench3D Acc (con)', 'CVBench3D Acc (ctr)']: |
| if col in df.columns: |
| df[col] = (df[col].astype(str) |
| .str.replace('%', '', regex=False) |
| .replace('N/A', np.nan) |
| .astype(float)) |
|
|
| def get_base(name): |
| if 'Molmo' in name: return 'Molmo' |
| if 'NVILA-ST'in name: return 'NVILA-ST' |
| if 'NVILA' in name: return 'NVILA' |
| if 'Qwen3' in name: return 'Qwen3' |
| if 'Qwen' in name: return 'Qwen' |
| if 'RoboRefer'in name:return 'RoboRefer' |
| return 'Other' |
|
|
| def get_scale(name): |
| for s in ['vanilla', '80k', '400k', '800k', '2M']: |
| if s in name: |
| return s |
| return 'Special' |
|
|
| df['Base'] = df['Model'].apply(get_base) |
| df['Scale'] = df['Model'].apply(get_scale) |
| df = df[df['Base'] != 'Qwen3'] |
| return df |
|
|
|
|
| |
|
|
| def _draw_2d_arrows(df_src, base_list, x_col, y_col): |
| """Draw annotate arrows for a 2-D figure.""" |
| for base in base_list: |
| order = ST_SCALE_ORDER if base == 'NVILA-ST' else SCALE_ORDER |
| base_df = (df_src[(df_src['Base'] == base) & (df_src['Scale'].isin(order))] |
| .set_index('Scale').reindex(order) |
| .dropna(subset=[x_col, y_col])) |
| if len(base_df) < 2: |
| continue |
| ls = '--' if base == 'NVILA-ST' else '-' |
| for i in range(len(base_df) - 1): |
| x1, y1 = base_df.iloc[i][[x_col, y_col]] |
| x2, y2 = base_df.iloc[i + 1][[x_col, y_col]] |
| plt.annotate('', xy=(x2, y2), xytext=(x1, y1), |
| arrowprops=dict(arrowstyle="->", color=COLORS[base], |
| alpha=0.6, lw=1.8, ls=ls)) |
|
|
|
|
| def _draw_3d_arrows(ax, df_src, base_list, x_col, y_col, z_col): |
| """Draw arrows in a 3-D axes using quiver + dashed line for NVILA-ST.""" |
| for base in base_list: |
| order = ST_SCALE_ORDER if base == 'NVILA-ST' else SCALE_ORDER |
| base_df = (df_src[(df_src['Base'] == base) & (df_src['Scale'].isin(order))] |
| .set_index('Scale').reindex(order) |
| .dropna(subset=[x_col, y_col, z_col])) |
| if len(base_df) < 2: |
| continue |
| ls = '--' if base == 'NVILA-ST' else '-' |
| for i in range(len(base_df) - 1): |
| x1, y1, z1 = base_df.iloc[i][[x_col, y_col, z_col]] |
| x2, y2, z2 = base_df.iloc[i + 1][[x_col, y_col, z_col]] |
| dx, dy, dz = x2 - x1, y2 - y1, z2 - z1 |
|
|
| |
| ax.plot([x1, x2], [y1, y2], [z1, z2], |
| color=COLORS[base], linestyle=ls, linewidth=2.0, alpha=0.6) |
|
|
| |
| tip_frac = 0.25 |
| ax.quiver(x2 - tip_frac * dx, |
| y2 - tip_frac * dy, |
| z2 - tip_frac * dz, |
| tip_frac * dx, tip_frac * dy, tip_frac * dz, |
| color=COLORS[base], alpha=0.8, |
| arrow_length_ratio=1.0, linewidth=0) |
|
|
|
|
| |
|
|
| def figure1(df: pd.DataFrame, outdir: str): |
| """Figure 1: Two Paths of Spatial Representation (scatter + arrows).""" |
| plt.figure(figsize=(10, 8)) |
|
|
| df_bases = df[df['Base'] != 'RoboRefer'] |
| sns.scatterplot(data=df_bases, x='Entanglement', y='Peak Dist', |
| hue='Base', palette=COLORS, s=100, alpha=0.8, |
| edgecolor='black', legend=False) |
|
|
| |
| _draw_2d_arrows(df, ['Molmo', 'NVILA', 'NVILA-ST', 'Qwen'], |
| 'Entanglement', 'Peak Dist') |
|
|
| df_robo = df[df['Base'] == 'RoboRefer'] |
| if not df_robo.empty: |
| sns.scatterplot(data=df_robo, x='Entanglement', y='Peak Dist', |
| hue='Base', palette=COLORS, s=400, marker='*', |
| edgecolor='black', zorder=5, legend=False) |
|
|
| plt.legend(handles=CUSTOM_LINES, title='Model Group', loc='upper right') |
| plt.title('Figure 1: The Two Paths of Spatial Representation\n' |
| '(Naive Scaling vs. Genuine Understanding)', |
| fontsize=14, fontweight='bold') |
| plt.xlabel('Entanglement Shortcut [Lower is Better]', fontsize=12) |
| plt.ylabel('Distance Representation (Dist SC) [Higher is Better]', fontsize=12) |
| plt.text(0.60, 0.05, |
| "Mechanism 1:\nNaive Scaling\n(More Data = More Entanglement)", |
| fontsize=12, transform=plt.gca().transAxes, |
| bbox=dict(facecolor='white', alpha=0.8, edgecolor='gray')) |
| plt.text(0.02, 0.72, |
| "Mechanism 2:\nGenuine Understanding\n(Break the Shortcut)", |
| fontsize=12, transform=plt.gca().transAxes, |
| bbox=dict(facecolor='white', alpha=0.8, edgecolor='gray')) |
| plt.tight_layout() |
| plt.savefig(os.path.join(outdir, 'figure1_two_paths_trajectory.png'), dpi=300) |
| plt.close() |
|
|
|
|
| def figure2(df: pd.DataFrame, outdir: str): |
| """Figure 2: Entanglement Paradox (line plot, NVILA-ST included).""" |
| df_scale = df[df['Base'] != 'RoboRefer'].copy() |
| df_scale = df_scale[df_scale['Scale'].isin(SCALE_ORDER)] |
| df_scale['Scale'] = pd.Categorical(df_scale['Scale'], |
| categories=SCALE_ORDER, ordered=True) |
|
|
| plt.figure(figsize=(10, 6)) |
|
|
| |
| df_main = df_scale[df_scale['Base'] != 'NVILA-ST'] |
| df_st = df_scale[df_scale['Base'] == 'NVILA-ST'].sort_values('Scale') |
|
|
| sns.lineplot(data=df_main, x='Scale', y='Entanglement', |
| hue='Base', style='Base', |
| palette={k: v for k, v in COLORS.items() if k != 'NVILA-ST'}, |
| marker='o', linewidth=2.5, markersize=8, legend='auto') |
|
|
| |
| if not df_st.empty: |
| ax = plt.gca() |
| ax.plot(df_st['Scale'].cat.codes if hasattr(df_st['Scale'], 'cat') else |
| [SCALE_ORDER.index(s) for s in df_st['Scale']], |
| df_st['Entanglement'], |
| color=COLORS['NVILA-ST'], linestyle='--', linewidth=2.5, |
| marker='o', markersize=8, label='NVILA-ST') |
|
|
| df_robo = df[df['Base'] == 'RoboRefer'] |
| if not df_robo.empty: |
| robo_ent = df_robo['Entanglement'].values[0] |
| plt.axhline(y=robo_ent, color=COLORS['RoboRefer'], linestyle='--', |
| label=f'RoboRefer ({robo_ent:.4f})') |
|
|
| plt.title('Figure 2: The Entanglement Paradox during Naive Scaling', |
| fontsize=14, fontweight='bold') |
| plt.ylabel('Entanglement', fontsize=12) |
| plt.xlabel('Fine-tuning Data Scale', fontsize=12) |
| plt.legend(title='Models', bbox_to_anchor=(1.05, 1), loc='upper left') |
| plt.tight_layout() |
| plt.savefig(os.path.join(outdir, 'figure2_entanglement_paradox.png'), dpi=300) |
| plt.close() |
|
|
|
|
| def figure4(df: pd.DataFrame, outdir: str): |
| """Figure 4: Consistent vs Counter Performance Gap (grouped bar).""" |
| acc_models = [ |
| 'Molmo vanilla', 'Molmo 2M', |
| 'NVILA vanilla', 'NVILA 2M', |
| 'NVILA-ST 80k', 'NVILA-ST 800k', |
| 'Qwen vanilla', 'Qwen 2M', |
| 'RoboRefer', |
| ] |
| available = [m for m in acc_models if m in df['Model'].values] |
| df_acc = df.set_index('Model').loc[available] |
|
|
| x = np.arange(len(available)) |
| width = 0.35 |
|
|
| fig, ax = plt.subplots(figsize=(14, 6)) |
| ax.bar(x - width / 2, df_acc['EmbSpatial Acc (con)'], width, |
| label='Consistent (Shortcut Works)', color='#2b83ba') |
| ax.bar(x + width / 2, df_acc['EmbSpatial Acc (ctr)'], width, |
| label='Counter (Shortcut Fails)', color='#d7191c') |
|
|
| for i in range(len(available)): |
| con_val = df_acc['EmbSpatial Acc (con)'].iloc[i] |
| ctr_val = df_acc['EmbSpatial Acc (ctr)'].iloc[i] |
| if pd.isna(con_val) or pd.isna(ctr_val): |
| continue |
| gap = con_val - ctr_val |
| ax.plot([i - width / 2, i + width / 2], [con_val, ctr_val], |
| color='black', linestyle='-', linewidth=1.5, alpha=0.5) |
| ax.text(i, max(con_val, ctr_val) + 2, f'Gap: {gap:.1f}%p', |
| ha='center', fontsize=9, fontweight='bold') |
|
|
| ax.set_ylabel('Accuracy (%)', fontsize=12) |
| ax.set_title('Figure 4: The Consistent vs. Counter Performance Gap', |
| fontsize=14, fontweight='bold') |
| ax.set_xticks(x) |
| ax.set_xticklabels(available, rotation=45, ha='right') |
| ax.legend() |
| plt.tight_layout() |
| plt.savefig(os.path.join(outdir, 'figure4_accuracy_gap.png'), dpi=300) |
| plt.close() |
|
|
|
|
| def figure5(df: pd.DataFrame, outdir: str): |
| """Figure 5: Peak Dist vs EmbSpatial Counter Accuracy (scatter + arrows). |
| |
| NVILA-ST has N/A accuracy in the default CSV; their points/arrows will |
| appear automatically if the data file contains numeric values for them. |
| """ |
| df_valid = df.dropna(subset=['EmbSpatial Acc (ctr)', 'Peak Dist']) |
|
|
| plt.figure(figsize=(10, 8)) |
|
|
| df_bases = df_valid[df_valid['Base'] != 'RoboRefer'] |
| sns.scatterplot(data=df_bases, x='Peak Dist', y='EmbSpatial Acc (ctr)', |
| hue='Base', palette=COLORS, s=150, |
| edgecolor='black', alpha=0.8, legend=False) |
|
|
| |
| _draw_2d_arrows(df_valid, ['Molmo', 'NVILA', 'NVILA-ST', 'Qwen'], |
| 'Peak Dist', 'EmbSpatial Acc (ctr)') |
|
|
| df_robo = df_valid[df_valid['Base'] == 'RoboRefer'] |
| if not df_robo.empty: |
| sns.scatterplot(data=df_robo, x='Peak Dist', y='EmbSpatial Acc (ctr)', |
| hue='Base', palette=COLORS, s=400, marker='*', |
| edgecolor='black', zorder=5, legend=False) |
|
|
| if len(df_valid) > 1: |
| corr = np.corrcoef(df_valid['Peak Dist'], df_valid['EmbSpatial Acc (ctr)'])[0, 1] |
| plt.text(0.05, 0.95, f"Pearson r = {corr:.2f}", |
| transform=plt.gca().transAxes, fontsize=14, fontweight='bold', |
| bbox=dict(facecolor='white', alpha=0.8, edgecolor='gray')) |
|
|
| plt.legend(handles=CUSTOM_LINES, title='Model Group', loc='lower right') |
| plt.title('Figure 5: Distance SC is the strongest predictor of Counter Accuracy', |
| fontsize=14, fontweight='bold') |
| plt.xlabel('Distance Sign-Corrected Consistency (Peak Dist)', fontsize=12) |
| plt.ylabel('EmbSpatial Counter Accuracy (%)', fontsize=12) |
| plt.grid(True, linestyle='--', alpha=0.7) |
| plt.tight_layout() |
| plt.savefig(os.path.join(outdir, 'figure5_distSC_vs_counterAcc.png'), dpi=300) |
| plt.close() |
|
|
|
|
| def figure6(df: pd.DataFrame, outdir: str): |
| """Figure 6: 3-D scatter (Peak Dist Γ Entanglement Γ Counter Acc) with arrows.""" |
| df_valid = df.dropna(subset=['EmbSpatial Acc (ctr)', 'Peak Dist']) |
|
|
| fig = plt.figure(figsize=(12, 10)) |
| ax = fig.add_subplot(111, projection='3d') |
|
|
| for base_name in df_valid['Base'].unique(): |
| subset = df_valid[df_valid['Base'] == base_name] |
| c = COLORS.get(base_name, 'gray') |
| if base_name == 'RoboRefer': |
| ax.scatter(subset['Peak Dist'], subset['Entanglement'], |
| subset['EmbSpatial Acc (ctr)'], |
| c=c, s=300, marker='*', edgecolors='k', alpha=0.9, zorder=5) |
| else: |
| ax.scatter(subset['Peak Dist'], subset['Entanglement'], |
| subset['EmbSpatial Acc (ctr)'], |
| c=c, s=120, edgecolors='k', alpha=0.8) |
|
|
| |
| _draw_3d_arrows(ax, df_valid, |
| ['Molmo', 'NVILA', 'NVILA-ST', 'Qwen'], |
| 'Peak Dist', 'Entanglement', 'EmbSpatial Acc (ctr)') |
|
|
| ax.set_xlabel('Peak Dist SC', labelpad=10, fontsize=11) |
| ax.set_ylabel('Entanglement', labelpad=10, fontsize=11) |
| ax.set_zlabel('Counter Accuracy (%)', labelpad=10, fontsize=11) |
| ax.set_title('Figure 6: Navigating the Representation Space\n' |
| '(Dist SC vs. Entanglement vs. Counter Acc)', |
| fontweight='bold', fontsize=14) |
| ax.view_init(elev=20, azim=135) |
| plt.legend(handles=CUSTOM_LINES, title='Model Group', |
| loc='upper left', bbox_to_anchor=(1.05, 1)) |
| plt.tight_layout() |
| plt.savefig(os.path.join(outdir, 'figure6_3d_distSC_ent_counterAcc.png'), |
| dpi=300, bbox_inches='tight') |
| plt.close() |
|
|
|
|
| |
|
|
| def main(): |
| parser = argparse.ArgumentParser(description='Generate Spatial Representation Figures') |
| parser.add_argument('--data_path', type=str, required=True, |
| help='Path to the input CSV file') |
| args = parser.parse_args() |
|
|
| df = load_and_preprocess(args.data_path) |
|
|
| os.makedirs(OUTPUT_DIR, exist_ok=True) |
| sns.set_theme(style='whitegrid') |
|
|
| figure1(df, OUTPUT_DIR) |
| figure2(df, OUTPUT_DIR) |
| figure4(df, OUTPUT_DIR) |
| figure5(df, OUTPUT_DIR) |
| figure6(df, OUTPUT_DIR) |
|
|
| print(f"Saved figures to {OUTPUT_DIR}/") |
|
|
|
|
| if __name__ == '__main__': |
| main() |
|
|