## Bar Chart: Model Performance Across Verification Types and Task Difficulty ### Overview The chart compares model accuracy across three task difficulties (ID Easy, ID Hard, OOD Hard) and three verification types (None, Binary, Detailed) for model sizes 1M, 4M, and 16M. Accuracy is measured in percentage. ### Components/Axes - **X-axis**: Task difficulty categories (ID Easy, ID Hard, OOD Hard) with subcategories for model sizes (1M, 4M, 16M). - **Y-axis**: Accuracy (%) ranging from 0 to 100. - **Legend**: - Blue = Verification Type: None - Orange = Verification Type: Binary - Green = Verification Type: Detailed - **Bar Colors**: Match legend labels (blue/orange/green) for each verification type. ### Detailed Analysis #### ID Easy - **1M Model**: - None: ~25% - Binary: ~95% - Detailed: ~20% - **4M Model**: - None: ~90% - Binary: ~98% - Detailed: ~95% - **16M Model**: - None: ~100% - Binary: ~100% - Detailed: ~100% #### ID Hard - **1M Model**: - None: ~100% - Binary: ~75% - Detailed: ~25% - **4M Model**: - None: ~100% - Binary: ~60% - Detailed: ~40% - **16M Model**: - None: ~100% - Binary: ~65% - Detailed: ~65% #### OOD Hard - **1M Model**: - None: ~8% - Binary: ~4% - Detailed: ~2% - **4M Model**: - None: ~2% - Binary: ~3% - Detailed: ~4% - **16M Model**: - None: ~8% - Binary: ~6% - Detailed: ~10% ### Key Observations 1. **ID Easy**: High accuracy across all verification types and model sizes, with minimal variation. 2. **ID Hard**: - Accuracy drops significantly for smaller models (1M) with Detailed verification. - Larger models (16M) show improved performance with Detailed verification. 3. **OOD Hard**: - Extremely low accuracy for all verification types, especially with smaller models. - Detailed verification shows marginal improvement at 16M model size. ### Interpretation - **Task Difficulty Impact**: - Easy tasks (ID Easy) are robust to model size and verification type. - Hard tasks (ID Hard, OOD Hard) require larger models and detailed verification for meaningful accuracy gains. - **Verification Type Trade-offs**: - Detailed verification improves performance in harder tasks but introduces computational overhead. - Binary verification balances performance and efficiency in ID Hard. - **OOD Hard Limitations**: - Current models struggle with out-of-distribution (OOD) tasks, even with 16M parameters and Detailed verification. - Suggests need for architectural improvements or specialized training for OOD scenarios. ### Spatial Grounding & Trend Verification - **Legend Position**: Right-aligned, clearly mapping colors to verification types. - **Bar Trends**: - ID Easy: Flat lines across verification types (confirmed by uniform bar heights). - ID Hard: Steeper decline for Detailed verification in smaller models. - OOD Hard: Gradual improvement with model size, but plateaued at 16M. ### Component Isolation - **Header**: Task difficulty labels (ID Easy, ID Hard, OOD Hard). - **Main Chart**: Three grouped bar clusters per task difficulty. - **Footer**: Y-axis scale (0-100%) and x-axis model size labels. ### Data Table Reconstruction | Task | Model Size | Verification Type | Accuracy (%) | |------------|------------|-------------------|--------------| | ID Easy | 1M | None | 25 | | ID Easy | 1M | Binary | 95 | | ID Easy | 1M | Detailed | 20 | | ID Easy | 4M | None | 90 | | ID Easy | 4M | Binary | 98 | | ID Easy | 4M | Detailed | 95 | | ID Easy | 16M | None | 100 | | ID Easy | 16M | Binary | 100 | | ID Easy | 16M | Detailed | 100 | | ID Hard | 1M | None | 100 | | ID Hard | 1M | Binary | 75 | | ID Hard | 1M | Detailed | 25 | | ID Hard | 4M | None | 100 | | ID Hard | 4M | Binary | 60 | | ID Hard | 4M | Detailed | 40 | | ID Hard | 16M | None | 100 | | ID Hard | 16M | Binary | 65 | | ID Hard | 16M | Detailed | 65 | | OOD Hard | 1M | None | 8 | | OOD Hard | 1M | Binary | 4 | | OOD Hard | 1M | Detailed | 2 | | OOD Hard | 4M | None | 2 | | OOD Hard | 4M | Binary | 3 | | OOD Hard | 4M | Detailed | 4 | | OOD Hard | 16M | None | 8 | | OOD Hard | 16M | Binary | 6 | | OOD Hard | 16M | Detailed | 10 | ### Final Notes - All values are approximate due to visual estimation from the bar chart. - No non-English text detected in the image.