Hugging Face's logo

Datasets:
MathNetwork
/
MathlibGraph

Tasks:
Graph Machine Learning
Languages:
English
Size:
100K<n<1M
Tags:
mathematics
lean4
mathlib
dependency-graph
formal-verification
network-analysis
License:
Dataset card Data Studio Files
xet
 Community
MathlibGraph
File size: 2,721 Bytes
ea41998
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
{
  "completed_splits": [
    {
      "seed": 42,
      "results_uniform": {
        "Random": {
          "AUC": 0.5003,
          "R@10": 0.1333,
          "R@50": 0.676,
          "MRR": 0.524,
          "n_problems": 5000
        },
        "Same module": {
          "AUC": 0.563,
          "R@10": 0.1789,
          "R@50": 0.642,
          "MRR": 0.998,
          "n_problems": 5000
        },
        "Same namespace": {
          "AUC": 0.5922,
          "R@10": 0.2233,
          "R@50": 0.664,
          "MRR": 0.966,
          "n_problems": 5000
        },
        "Same community": {
          "AUC": 0.5,
          "R@10": 0.0683,
          "R@50": 0.618,
          "MRR": 1.0,
          "n_problems": 5000
        },
        "Network features": {
          "AUC": 0.9778,
          "R@10": 0.5124,
          "R@50": 0.937,
          "MRR": 0.997,
          "n_problems": 5000
        },
        "All features": {
          "AUC": 0.9844,
          "R@10": 0.5212,
          "R@50": 0.94,
          "MRR": 0.997,
          "n_problems": 5000
        }
      },
      "results_hard": {
        "Random": {
          "AUC": 0.5003,
          "R@10": 0.1333,
          "R@50": 0.676,
          "MRR": 0.524,
          "n_problems": 5000
        },
        "Same module": {
          "AUC": 0.563,
          "R@10": 0.1789,
          "R@50": 0.642,
          "MRR": 0.997,
          "n_problems": 5000
        },
        "Same namespace": {
          "AUC": 0.5922,
          "R@10": 0.2234,
          "R@50": 0.664,
          "MRR": 0.964,
          "n_problems": 5000
        },
        "Same community": {
          "AUC": 0.5,
          "R@10": 0.0683,
          "R@50": 0.618,
          "MRR": 1.0,
          "n_problems": 5000
        },
        "Network features": {
          "AUC": 0.9776,
          "R@10": 0.5097,
          "R@50": 0.937,
          "MRR": 0.997,
          "n_problems": 5000
        },
        "All features": {
          "AUC": 0.9842,
          "R@10": 0.5191,
          "R@50": 0.94,
          "MRR": 0.997,
          "n_problems": 5000
        }
      },
      "diagnostics": {
        "in_degree_pearson_r": 0.999851,
        "out_degree_pearson_r": 0.999315,
        "pagerank_pearson_r": 0.950683,
        "betweenness_pearson_r": 0.712134,
        "community_nmi": 0.7821,
        "dag_layer_mean_shift": 2.9912,
        "test_decl_mean_in_degree": 0.0,
        "test_decl_mean_out_degree": 0.0,
        "test_decl_mean_pagerank": 7.667e-07,
        "n_wcc": 48812,
        "largest_wcc_size": 259311,
        "g_train_edges": 6727267,
        "edges_removed_pct": 20.21
      },
      "n_train_decls": 194929,
      "n_test_decls": 48733,
      "elapsed_s": 2396
    }
  ]
}