Datasets:
Formats:
text
Languages:
English
Size:
1K - 10K
Tags:
circuit-diagrams
document-understanding
graph-recovery
connectivity-verification
vision-language-models
digital-logic
License:
| { | |
| "schema_version": "1.1", | |
| "dataset": "LogicBench-1K", | |
| "version": "1.0.1", | |
| "release": "camera-ready", | |
| "generated_at": "2026-06-08T19:05:59Z", | |
| "generated_by": "scripts/generate_statistics.py", | |
| "num_samples": 1000, | |
| "num_images": 1000, | |
| "image_format": "JPEG", | |
| "image_resolution": [ | |
| 512, | |
| 512 | |
| ], | |
| "splits": { | |
| "train": 700, | |
| "val": 100, | |
| "test": 200 | |
| }, | |
| "gate_vocabulary": [ | |
| "AND", | |
| "NAND", | |
| "NOR", | |
| "NOT", | |
| "OR", | |
| "XNOR", | |
| "XOR" | |
| ], | |
| "definitions": { | |
| "gate_mixture": "Sorted multiset of gate types present in one diagram; unique mixtures measure combinatorial diversity.", | |
| "directed_density": "edges / (nodes * (nodes - 1)) for n > 1; proportion of possible directed pairs that are annotated edges.", | |
| "terminal_degree": "Per-gate in-degree (incoming edges) and out-degree (outgoing edges) aggregated across all diagrams." | |
| }, | |
| "sample_diversity": { | |
| "unique_gate_mixtures": 343, | |
| "mixture_coverage": 0.343, | |
| "graphs_with_no_edges": 19, | |
| "isolated_gate_instances": 232, | |
| "graph_size": { | |
| "nodes_per_graph": { | |
| "min": 1, | |
| "max": 31, | |
| "mean": 6.174, | |
| "median": 5.0, | |
| "std": 3.699, | |
| "q1": 4.0, | |
| "q3": 7.0 | |
| }, | |
| "edges_per_graph": { | |
| "min": 0, | |
| "max": 57, | |
| "mean": 6.423, | |
| "median": 5.0, | |
| "std": 5.636, | |
| "q1": 3.0, | |
| "q3": 8.0 | |
| }, | |
| "node_count_histogram": { | |
| "1-5": 576, | |
| "6-10": 343, | |
| "11-15": 49, | |
| "16-20": 18, | |
| "21-31": 14 | |
| }, | |
| "edge_count_histogram": { | |
| "0": 19, | |
| "1-5": 544, | |
| "6-10": 298, | |
| "11-20": 114, | |
| "21-57": 25 | |
| } | |
| } | |
| }, | |
| "topology_distribution": { | |
| "global": { | |
| "num_samples": 1000, | |
| "totals": { | |
| "gates": 6174, | |
| "edges": 6423, | |
| "avg_gates_per_sample": 6.174, | |
| "avg_edges_per_sample": 6.423 | |
| }, | |
| "sample_diversity": { | |
| "unique_gate_mixtures": 343, | |
| "mixture_coverage": 0.343, | |
| "graphs_with_no_edges": 19, | |
| "isolated_gate_instances": 232 | |
| }, | |
| "graph_size": { | |
| "nodes_per_graph": { | |
| "min": 1, | |
| "max": 31, | |
| "mean": 6.174, | |
| "median": 5.0, | |
| "std": 3.699, | |
| "q1": 4.0, | |
| "q3": 7.0 | |
| }, | |
| "edges_per_graph": { | |
| "min": 0, | |
| "max": 57, | |
| "mean": 6.423, | |
| "median": 5.0, | |
| "std": 5.636, | |
| "q1": 3.0, | |
| "q3": 8.0 | |
| }, | |
| "node_count_histogram": { | |
| "1-5": 576, | |
| "6-10": 343, | |
| "11-15": 49, | |
| "16-20": 18, | |
| "21-31": 14 | |
| }, | |
| "edge_count_histogram": { | |
| "0": 19, | |
| "1-5": 544, | |
| "6-10": 298, | |
| "11-20": 114, | |
| "21-57": 25 | |
| } | |
| }, | |
| "topology": { | |
| "avg_directed_density": 0.2355, | |
| "gate_type_frequencies": { | |
| "AND": { | |
| "count": 1492, | |
| "proportion": 0.2417 | |
| }, | |
| "NAND": { | |
| "count": 915, | |
| "proportion": 0.1482 | |
| }, | |
| "NOR": { | |
| "count": 597, | |
| "proportion": 0.0967 | |
| }, | |
| "NOT": { | |
| "count": 1389, | |
| "proportion": 0.225 | |
| }, | |
| "OR": { | |
| "count": 894, | |
| "proportion": 0.1448 | |
| }, | |
| "XNOR": { | |
| "count": 258, | |
| "proportion": 0.0418 | |
| }, | |
| "XOR": { | |
| "count": 629, | |
| "proportion": 0.1019 | |
| } | |
| }, | |
| "terminal_degree_histogram": { | |
| "in_degree": { | |
| "0": 2112, | |
| "1": 2129, | |
| "2": 1634, | |
| "3": 207, | |
| "4": 70, | |
| "5": 14, | |
| "6": 5, | |
| "7": 1, | |
| "8": 1, | |
| "10": 1 | |
| }, | |
| "out_degree": { | |
| "0": 1600, | |
| "1": 3185, | |
| "2": 1125, | |
| "3": 152, | |
| "4": 79, | |
| "5": 15, | |
| "6": 6, | |
| "8": 7, | |
| "9": 4, | |
| "13": 1 | |
| } | |
| } | |
| } | |
| }, | |
| "by_split": { | |
| "train": { | |
| "num_samples": 700, | |
| "totals": { | |
| "gates": 4137, | |
| "edges": 4256, | |
| "avg_gates_per_sample": 5.91, | |
| "avg_edges_per_sample": 6.08 | |
| }, | |
| "sample_diversity": { | |
| "unique_gate_mixtures": 261, | |
| "mixture_coverage": 0.3729, | |
| "graphs_with_no_edges": 14, | |
| "isolated_gate_instances": 167 | |
| }, | |
| "graph_size": { | |
| "nodes_per_graph": { | |
| "min": 1, | |
| "max": 31, | |
| "mean": 5.91, | |
| "median": 5.0, | |
| "std": 3.48, | |
| "q1": 4.0, | |
| "q3": 7.0 | |
| }, | |
| "edges_per_graph": { | |
| "min": 0, | |
| "max": 57, | |
| "mean": 6.08, | |
| "median": 5.0, | |
| "std": 5.434, | |
| "q1": 3.0, | |
| "q3": 7.0 | |
| }, | |
| "node_count_histogram": { | |
| "1-5": 435, | |
| "6-10": 217, | |
| "11-15": 28, | |
| "16-20": 12, | |
| "21-31": 8 | |
| }, | |
| "edge_count_histogram": { | |
| "0": 14, | |
| "1-5": 400, | |
| "6-10": 199, | |
| "11-20": 73, | |
| "21-57": 14 | |
| } | |
| }, | |
| "topology": { | |
| "avg_directed_density": 0.2399, | |
| "gate_type_frequencies": { | |
| "AND": { | |
| "count": 985, | |
| "proportion": 0.2381 | |
| }, | |
| "NAND": { | |
| "count": 668, | |
| "proportion": 0.1615 | |
| }, | |
| "NOR": { | |
| "count": 390, | |
| "proportion": 0.0943 | |
| }, | |
| "NOT": { | |
| "count": 879, | |
| "proportion": 0.2125 | |
| }, | |
| "OR": { | |
| "count": 606, | |
| "proportion": 0.1465 | |
| }, | |
| "XNOR": { | |
| "count": 177, | |
| "proportion": 0.0428 | |
| }, | |
| "XOR": { | |
| "count": 432, | |
| "proportion": 0.1044 | |
| } | |
| }, | |
| "terminal_degree_histogram": { | |
| "in_degree": { | |
| "0": 1448, | |
| "1": 1398, | |
| "2": 1088, | |
| "3": 146, | |
| "4": 44, | |
| "5": 10, | |
| "6": 3 | |
| }, | |
| "out_degree": { | |
| "0": 1105, | |
| "1": 2125, | |
| "2": 733, | |
| "3": 101, | |
| "4": 49, | |
| "5": 11, | |
| "6": 1, | |
| "8": 7, | |
| "9": 4, | |
| "13": 1 | |
| } | |
| } | |
| } | |
| }, | |
| "val": { | |
| "num_samples": 100, | |
| "totals": { | |
| "gates": 677, | |
| "edges": 704, | |
| "avg_gates_per_sample": 6.77, | |
| "avg_edges_per_sample": 7.04 | |
| }, | |
| "sample_diversity": { | |
| "unique_gate_mixtures": 73, | |
| "mixture_coverage": 0.73, | |
| "graphs_with_no_edges": 3, | |
| "isolated_gate_instances": 23 | |
| }, | |
| "graph_size": { | |
| "nodes_per_graph": { | |
| "min": 2, | |
| "max": 29, | |
| "mean": 6.77, | |
| "median": 6.0, | |
| "std": 3.911, | |
| "q1": 4.0, | |
| "q3": 9.0 | |
| }, | |
| "edges_per_graph": { | |
| "min": 0, | |
| "max": 47, | |
| "mean": 7.04, | |
| "median": 6.0, | |
| "std": 6.071, | |
| "q1": 3.0, | |
| "q3": 9.5 | |
| }, | |
| "node_count_histogram": { | |
| "1-5": 43, | |
| "6-10": 44, | |
| "11-15": 11, | |
| "16-20": 0, | |
| "21-31": 2 | |
| }, | |
| "edge_count_histogram": { | |
| "0": 3, | |
| "1-5": 46, | |
| "6-10": 36, | |
| "11-20": 13, | |
| "21-57": 2 | |
| } | |
| }, | |
| "topology": { | |
| "avg_directed_density": 0.2148, | |
| "gate_type_frequencies": { | |
| "AND": { | |
| "count": 179, | |
| "proportion": 0.2644 | |
| }, | |
| "NAND": { | |
| "count": 62, | |
| "proportion": 0.0916 | |
| }, | |
| "NOR": { | |
| "count": 69, | |
| "proportion": 0.1019 | |
| }, | |
| "NOT": { | |
| "count": 182, | |
| "proportion": 0.2688 | |
| }, | |
| "OR": { | |
| "count": 96, | |
| "proportion": 0.1418 | |
| }, | |
| "XNOR": { | |
| "count": 13, | |
| "proportion": 0.0192 | |
| }, | |
| "XOR": { | |
| "count": 76, | |
| "proportion": 0.1123 | |
| } | |
| }, | |
| "terminal_degree_histogram": { | |
| "in_degree": { | |
| "0": 220, | |
| "1": 249, | |
| "2": 182, | |
| "3": 14, | |
| "4": 11, | |
| "5": 1 | |
| }, | |
| "out_degree": { | |
| "0": 169, | |
| "1": 347, | |
| "2": 135, | |
| "3": 17, | |
| "4": 9 | |
| } | |
| } | |
| } | |
| }, | |
| "test": { | |
| "num_samples": 200, | |
| "totals": { | |
| "gates": 1360, | |
| "edges": 1463, | |
| "avg_gates_per_sample": 6.8, | |
| "avg_edges_per_sample": 7.315 | |
| }, | |
| "sample_diversity": { | |
| "unique_gate_mixtures": 128, | |
| "mixture_coverage": 0.64, | |
| "graphs_with_no_edges": 2, | |
| "isolated_gate_instances": 42 | |
| }, | |
| "graph_size": { | |
| "nodes_per_graph": { | |
| "min": 2, | |
| "max": 29, | |
| "mean": 6.8, | |
| "median": 6.0, | |
| "std": 4.19, | |
| "q1": 4.0, | |
| "q3": 8.0 | |
| }, | |
| "edges_per_graph": { | |
| "min": 0, | |
| "max": 48, | |
| "mean": 7.315, | |
| "median": 5.5, | |
| "std": 5.973, | |
| "q1": 4.0, | |
| "q3": 9.0 | |
| }, | |
| "node_count_histogram": { | |
| "1-5": 98, | |
| "6-10": 82, | |
| "11-15": 10, | |
| "16-20": 6, | |
| "21-31": 4 | |
| }, | |
| "edge_count_histogram": { | |
| "0": 2, | |
| "1-5": 98, | |
| "6-10": 63, | |
| "11-20": 28, | |
| "21-57": 9 | |
| } | |
| }, | |
| "topology": { | |
| "avg_directed_density": 0.2305, | |
| "gate_type_frequencies": { | |
| "AND": { | |
| "count": 328, | |
| "proportion": 0.2412 | |
| }, | |
| "NAND": { | |
| "count": 185, | |
| "proportion": 0.136 | |
| }, | |
| "NOR": { | |
| "count": 138, | |
| "proportion": 0.1015 | |
| }, | |
| "NOT": { | |
| "count": 328, | |
| "proportion": 0.2412 | |
| }, | |
| "OR": { | |
| "count": 192, | |
| "proportion": 0.1412 | |
| }, | |
| "XNOR": { | |
| "count": 68, | |
| "proportion": 0.05 | |
| }, | |
| "XOR": { | |
| "count": 121, | |
| "proportion": 0.089 | |
| } | |
| }, | |
| "terminal_degree_histogram": { | |
| "in_degree": { | |
| "0": 444, | |
| "1": 482, | |
| "2": 364, | |
| "3": 47, | |
| "4": 15, | |
| "5": 3, | |
| "6": 2, | |
| "7": 1, | |
| "8": 1, | |
| "10": 1 | |
| }, | |
| "out_degree": { | |
| "0": 326, | |
| "1": 713, | |
| "2": 257, | |
| "3": 34, | |
| "4": 21, | |
| "5": 4, | |
| "6": 5 | |
| } | |
| } | |
| } | |
| } | |
| } | |
| }, | |
| "paper_summary": { | |
| "unique_gate_mixtures": 343, | |
| "gates_per_diagram": { | |
| "range": [ | |
| 1, | |
| 31 | |
| ], | |
| "mean": 6.174, | |
| "median": 5.0, | |
| "std": 3.699 | |
| }, | |
| "edges_per_diagram": { | |
| "range": [ | |
| 0, | |
| 57 | |
| ], | |
| "mean": 6.423, | |
| "median": 5.0, | |
| "std": 5.636 | |
| }, | |
| "total_gates": 6174, | |
| "total_edges": 6423, | |
| "mean_directed_density": 0.2355, | |
| "data_availability_paragraph": "The corpus comprises 1,000 annotated diagrams with 6,174 gates and 6,423 directed edges. Sample diversity spans 343 unique gate mixtures (34.3% coverage). Diagrams contain 1\u201331 gates (mean 6.174, median 5.0) and 0\u201357 edges (mean 6.423, median 5.0). Gate-type and topology statistics are stratified by the official 700/100/200 train/validation/test split in `metadata/statistics.json`." | |
| } | |
| } | |