| { |
| "id": "sample_000000", |
| "task_type": "matrix_3x3", |
| "focus": "3x3 matrix completion using one fixed rule instance T (template=Distribute-three, axis=distribute_three_color). Per-T attribute change: entity color follows Distribute-three order (red -> green -> blue), forward. Horizontal relation E[r,c+1]=T^2(E[r,c]); vertical relation E[r+1,c]=T^1(E[r,c]). Effective stride detail: horizontal applies T^2 Distribute-three steps; vertical applies T^1 Distribute-three steps.", |
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| 2 |
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| "missing_positions": [ |
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| ], |
| "empty_grid_positions": [ |
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| "grid_observation_mask": [ |
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| true |
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| true, |
| true |
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| [ |
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| true, |
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| "sample_000000/grid_0_1.ply", |
| "sample_000000/grid_0_2.ply" |
| ], |
| [ |
| "sample_000000/grid_1_0.ply", |
| "sample_000000/grid_1_1.ply", |
| "sample_000000/grid_1_2.ply" |
| ], |
| [ |
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| "sample_000000/grid_2_1.ply", |
| null |
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| "sample_000000/cand_1.ply", |
| "sample_000000/cand_2.ply", |
| "sample_000000/cand_3.ply" |
| ], |
| "gt_index": 2, |
| "gt_label": "C", |
| "distractor_types": [ |
| "analogical_wrong_relation", |
| "perceptual_plausible", |
| "gt", |
| "irrelevant" |
| ], |
| "rule_template": "Distribute-three", |
| "rule_params": { |
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| "axis": "distribute_three_color", |
| "leaf_idx": null, |
| "leaf_indices": null, |
| "direction": 1, |
| "directions": null, |
| "rot_axis": null, |
| "source_indices": null |
| }, |
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| "axis": "distribute_three_color", |
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| "direction": 1, |
| "directions": null, |
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| }, |
| "matrix_relation": { |
| "formula": "E[r,c] = T^(r*k_v + c*k_h)(E[0,0])", |
| "rule_instance": { |
| "template": "Distribute-three", |
| "axis": "distribute_three_color", |
| "changed_attribute": "color", |
| "description": "Distribute-three on color (direction=1)", |
| "direction": 1 |
| }, |
| "attribute_change_detail": { |
| "template": "Distribute-three", |
| "axis": "distribute_three_color", |
| "per_T_change": { |
| "attribute": "color_preset_idx", |
| "direction": 1, |
| "distribution": "distribute-three" |
| }, |
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| "applied_power": 2 |
| }, |
| "vertical_effective_change": { |
| "applied_power": 1 |
| } |
| }, |
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| "step_power": 2, |
| "formula": "E[r,c+1] = T^2(E[r,c])", |
| "changed_attribute": "color", |
| "description": "Distribute-three on color (direction=1)" |
| }, |
| "vertical_relation": { |
| "step_power": 1, |
| "formula": "E[r+1,c] = T^1(E[r,c])", |
| "changed_attribute": "color", |
| "description": "Distribute-three on color (direction=1)" |
| } |
| }, |
| "k_h": 2, |
| "k_v": 1, |
| "K_max": 6, |
| "matrix_level_config": { |
| "size_levels": [ |
| "XS", |
| "M", |
| "XL" |
| ], |
| "delta_levels": [ |
| "VeryNear", |
| "Near", |
| "Mid", |
| "Far", |
| "VeryFar" |
| ], |
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| "color_levels": [ |
| "red", |
| "green", |
| "blue" |
| ] |
| }, |
| "n_points": 4096, |
| "point_cloud_row_perturbation": { |
| "enabled": true, |
| "single_type_per_sample": true, |
| "selected_type": "density", |
| "apply_density_perturb_on_density_rules": true, |
| "rows": { |
| "index_0_row1": { |
| "density_keep_ratio": 1.0, |
| "jitter_std_ratio": 0.0, |
| "quantize_step_ratio": 0.0, |
| "outlier_replace_ratio": 0.0 |
| }, |
| "index_1_row2": { |
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| "jitter_std_ratio": 0.003, |
| "quantize_step_ratio": 0.005, |
| "outlier_replace_ratio": 0.01 |
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| "jitter_std_ratio": 0.009, |
| "quantize_step_ratio": 0.015, |
| "outlier_replace_ratio": 0.04 |
| } |
| } |
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| "rule": { |
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| "source_align": [ |
| "R1-6", |
| "R3-10" |
| ], |
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| "candidate_notes": [ |
| "符合替代关系 T'（忽略颜色维度），但不符合真实关系 T", |
| "数量干扰项：仅改变几何体数量，不满足真实/替代关系", |
| "真实关系 T 的唯一正确补全", |
| "非颜色干扰项：颜色与 GT 一致" |
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| "alt_relations": [ |
| { |
| "rule_template": "Distribute-three", |
| "rule_params": { |
| "template": "Distribute-three", |
| "axis": "distribute_three_shape", |
| "leaf_idx": null, |
| "leaf_indices": null, |
| "direction": 1, |
| "directions": null, |
| "rot_axis": null, |
| "source_indices": null |
| } |
| } |
| ] |
| } |
| } |
