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diff --git a/diag/esan_color.py b/diag/esan_color.py
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+++ b/diag/esan_color.py
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+"""H3: Recursive ESAN (subgraph GNN, DS-GNN node-marking bag) on graph 3-coloring.
+
+Per graph, pick S anchor nodes; each view = graph + a 1-hot mark on the anchor. Run the SHARED
+recursive GIN on all views, average node-logits over views (DeepSets). Marking breaks node
+symmetry -> >1-WL. Self-contained: train (EMA, best solve) + LE (lambda on a marked view,
+bucket by aggregate solve) + PTRM (K noisy aggregate forwards); writes color_/le_/ptrm_ JSON
+(conv='esan') for diag/aggregate.py.
+
+Run: PYTHONPATH=/home/yurenh2/rrog python3 diag/esan_color.py --grad_mode full --seed 0
+"""
+import argparse, json, os, time
+import numpy as np
+import torch
+import torch.nn.functional as F
+from torch_geometric.data import Data, Batch
+from diag.train_color import make_split, featurize, RecGINColor, lyap1, OUT
+try:
+ from sklearn.metrics import roc_auc_score
+except Exception:
+ roc_auc_score = None
+
+S = 4
+
+
+def dense_A(edge_index, n):
+ A = torch.zeros(n, n)
+ if edge_index.shape[1]:
+ A[edge_index[0], edge_index[1]] = 1.0
+ return torch.maximum(A, A.t())
+
+
+def views_of(g, anchors):
+ out = []
+ for a in anchors:
+ mark = torch.zeros(g['n'], 1); mark[a] = 1.0
+ out.append(Data(x=torch.cat([g['rfeat'], mark], dim=1), edge_index=g['edge_index'], num_nodes=g['n']))
+ return out
+
+
+def anchors_for(g, rng):
+ return rng.choice(g['n'], size=min(S, g['n']), replace=False)
+
+
+def esan_logits(model, g, dev, anchors, noise=False):
+ b = Batch.from_data_list(views_of(g, anchors)).to(dev)
+ out = model(b.x, b.edge_index, b.batch, noise=noise)[-1] # [S*n, k]
+ return out.view(len(anchors), g['n'], -1).mean(0) # [n, k]
+
+
+def conf_of(logits, A):
+ col = logits.argmax(-1)
+ return int(((col.unsqueeze(0) == col.unsqueeze(1)) & (A > 0)).sum().item() // 2)
+
+
+@torch.no_grad()
+def solve_rate(model, graphs, dev, rng, sample=300):
+ model.eval(); solved = 0
+ for g in graphs[:sample]:
+ solved += int(conf_of(esan_logits(model, g, dev, anchors_for(g, rng)), g['A'].to(dev)) == 0)
+ return solved / len(graphs[:sample])
+
+
+def main():
+ ap = argparse.ArgumentParser()
+ ap.add_argument('--grad_mode', choices=['full', '1step'], default='full')
+ ap.add_argument('--epochs', type=int, default=150); ap.add_argument('--M', type=int, default=16)
+ ap.add_argument('--seed', type=int, default=0); ap.add_argument('--sigma', type=float, default=0.2)
+ ap.add_argument('--K', type=int, default=16); ap.add_argument('--n_graphs', type=int, default=150)
+ args = ap.parse_args()
+ torch.manual_seed(args.seed); np.random.seed(args.seed)
+ rng = np.random.default_rng(args.seed)
+ dev = 'cuda' if torch.cuda.is_available() else 'cpu'
+
+ tr = featurize(make_split('train', 50, 3, 0.2, 8, 2000, 0), 'none', 16)
+ te = featurize(make_split('test', 50, 3, 0.2, 8, 500, 100000), 'none', 16)
+ for g in tr + te:
+ g['A'] = dense_A(g['edge_index'], g['n'])
+ in_dim = tr[0]['rfeat'].shape[1] + 1
+ model = RecGINColor(in_dim, 128, 3, grad_mode=args.grad_mode, conv='gin').to(dev)
+ opt = torch.optim.Adam(model.parameters(), lr=1e-3, weight_decay=1e-5)
+ sched = torch.optim.lr_scheduler.CosineAnnealingLR(opt, args.epochs)
+ ema = {kk: v.detach().clone() for kk, v in model.state_dict().items()}
+
+ t0 = time.time(); best = -1; best_state = None
+ for ep in range(args.epochs):
+ model.train(); order = rng.permutation(len(tr))
+ for s0 in range(0, len(order) - args.M, args.M):
+ sel = order[s0:s0 + args.M]
+ views, As = [], []
+ for i in sel:
+ g = tr[i]; views += views_of(g, anchors_for(g, rng)); As.append(g['A'])
+ b = Batch.from_data_list(views).to(dev)
+ opt.zero_grad()
+ logits = model(b.x, b.edge_index, b.batch, noise=False)[-1].view(args.M, S, 50, 3).mean(1)
+ Ab = torch.stack(As).to(dev)
+ p = F.softmax(logits, -1)
+ loss = (torch.einsum('bik,bjk->bij', p, p) * Ab).sum() / (Ab.sum() + 1e-9)
+ loss.backward(); torch.nn.utils.clip_grad_norm_(model.parameters(), 1.0); opt.step()
+ with torch.no_grad():
+ for kk, v in model.state_dict().items():
+ ema[kk].mul_(0.999).add_(v.detach(), alpha=0.001) if torch.is_floating_point(v) else ema[kk].copy_(v)
+ sched.step()
+ if (ep + 1) % 20 == 0 or ep == args.epochs - 1:
+ bk = {kk: v.detach().clone() for kk, v in model.state_dict().items()}
+ model.load_state_dict(ema); sr = solve_rate(model, te, dev, rng)
+ if sr > best:
+ best = sr; best_state = {kk: ema[kk].detach().cpu().clone() for kk in ema}
+ model.load_state_dict(bk)
+ print(f"ep{ep+1} solve={sr:.3f}", flush=True)
+ model.load_state_dict({kk: best_state[kk].to(dev) for kk in best_state}); model.eval()
+
+ lams, fails = [], []; passk = lamsel = rand = 0; Lr, Sr = [], []
+ nstep = model.n_sup * model.T
+ for gi, g in enumerate(te[:args.n_graphs]):
+ anc = anchors_for(g, rng)
+ mark = torch.zeros(g['n'], 1); mark[anc[0]] = 1.0
+ xin = torch.cat([g['rfeat'], mark], dim=1).to(dev); ei = g['edge_index'].to(dev)
+ lam0 = lyap1(model, xin, ei, nstep, dev, seed=gi)
+ c0 = conf_of(esan_logits(model, g, dev, anc), g['A'].to(dev))
+ lams.append(lam0); fails.append(int(c0 > 0))
+ confs, rl = [], []
+ for j in range(args.K):
+ confs.append(conf_of(esan_logits(model, g, dev, anc, noise=True), g['A'].to(dev)))
+ rl.append(lyap1(model, xin, ei, nstep, dev, seed=1000 * gi + j))
+ confs, rl = np.array(confs), np.array(rl); sv = confs == 0
+ passk += int(sv.any()); lamsel += int(sv[rl.argmin()]); rand += int(sv[0])
+ Lr += rl.tolist(); Sr += sv.tolist()
+ lams, fails = np.array(lams), np.array(fails); s, f = lams[fails == 0], lams[fails == 1]
+ auc = (roc_auc_score(fails, lams) if roc_auc_score and len(s) and len(f) else float('nan'))
+ n = len(te[:args.n_graphs])
+ print(f"[esan/{args.grad_mode}] solve={best:.3f} LE AUROC={auc:.3f} mean_lam={lams.mean():+.3f} "
+ f"passK={passk/n:.3f} lamsel={lamsel/n:.3f} ({time.time()-t0:.0f}s)")
+ base = f"esan_{args.grad_mode}_none_n50_k3_p0.2_T3_ns3_s{args.seed}"
+ com = {'conv': 'esan', 'pe': 'none', 'grad_mode': args.grad_mode, 'contract': False, 'seed': args.seed}
+ json.dump({**com, 'solve_rate': best}, open(os.path.join(OUT, f"color_{base}.json"), 'w'))
+ json.dump({**com, 'auroc': float(auc), 'mean_lam': float(lams.mean())},
+ open(os.path.join(OUT, f"le_color_{base}.json"), 'w'))
+ json.dump({**com, 'det': 1 - float(fails.mean()),
+ 'sigmas': {'0.2': {'passk': passk / n, 'lamsel': lamsel / n, 'random': rand / n}}},
+ open(os.path.join(OUT, f"ptrm_color_{base}.json"), 'w'))
+ print(" wrote", base)
+
+
+if __name__ == "__main__":
+ main()