File size: 2,942 Bytes
35042ba
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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
114
115
116
117
{
  "protocol": {
    "paper": "arXiv:2509.22259v1, Section 4.1 and Appendix A.1",
    "official_repository": "https://github.com/cederikhoefs/Graph-RoPE",
    "official_commit": "4ac067eb38272543b0cdd7591d630399ff37bce4",
    "graph_sizes": {
      "monochromatic": "5x5 grid",
      "shortest": "10-node Watts-Strogatz, k=2, p=0.6"
    },
    "model": "4-layer single-head transformer, hidden=32, MLP=32, dropout=0.2",
    "optimizer": "AdamW(lr=2e-4, weight_decay=1e-4), cosine eta_min=2e-6",
    "omega_initialization": "zero",
    "budget": {
      "train_examples": 256,
      "test_examples": 128,
      "epochs": 8,
      "seeds": [
        0,
        1
      ]
    },
    "normalization": "RMSE divided by graph size (25 for monochromatic, 10 for shortest path)",
    "baseline": "m=0, same model and data with WIRE disabled"
  },
  "rows": [
    {
      "task": "monochromatic",
      "setting": "0",
      "m": 0,
      "seed": 0,
      "train_examples": 256,
      "test_examples": 128,
      "epochs": 8,
      "best_normalized_test_rmse": 0.06839866191148758,
      "parameters": 26369
    },
    {
      "task": "monochromatic",
      "setting": "0",
      "m": 0,
      "seed": 1,
      "train_examples": 256,
      "test_examples": 128,
      "epochs": 8,
      "best_normalized_test_rmse": 0.06361407786607742,
      "parameters": 26369
    },
    {
      "task": "monochromatic",
      "setting": "0",
      "m": 5,
      "seed": 0,
      "train_examples": 256,
      "test_examples": 128,
      "epochs": 8,
      "best_normalized_test_rmse": 0.07993544638156891,
      "parameters": 26689
    },
    {
      "task": "monochromatic",
      "setting": "0",
      "m": 5,
      "seed": 1,
      "train_examples": 256,
      "test_examples": 128,
      "epochs": 8,
      "best_normalized_test_rmse": 0.068186916410923,
      "parameters": 26689
    },
    {
      "task": "monochromatic",
      "setting": "15",
      "m": 0,
      "seed": 0,
      "train_examples": 256,
      "test_examples": 128,
      "epochs": 8,
      "best_normalized_test_rmse": 0.062019895762205124,
      "parameters": 26369
    },
    {
      "task": "monochromatic",
      "setting": "15",
      "m": 0,
      "seed": 1,
      "train_examples": 256,
      "test_examples": 128,
      "epochs": 8,
      "best_normalized_test_rmse": 0.06363179534673691,
      "parameters": 26369
    },
    {
      "task": "monochromatic",
      "setting": "15",
      "m": 5,
      "seed": 0,
      "train_examples": 256,
      "test_examples": 128,
      "epochs": 8,
      "best_normalized_test_rmse": 0.055608343333005905,
      "parameters": 26689
    },
    {
      "task": "monochromatic",
      "setting": "15",
      "m": 5,
      "seed": 1,
      "train_examples": 256,
      "test_examples": 128,
      "epochs": 8,
      "best_normalized_test_rmse": 0.06651563197374344,
      "parameters": 26689
    }
  ],
  "runtime_seconds": 127.14733576774597
}