{ "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 }