"""per-class 20x20 hessian of prototype cosine over top-attributed genes.""" from __future__ import annotations from pathlib import Path import warnings, json, pickle, sys, numpy as np, pandas as pd, torch warnings.filterwarnings("ignore") import anndata as ad, scanpy as sc, scipy.sparse as sp from pathlib import Path as _P_root ROOT = _P_root(__file__).resolve().parents[2] ROOT_STR = str(ROOT) sys.path.insert(0, ROOT_STR) from panda import PANDAEncoder DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") CKPT = Path(f"{ROOT_STR}/checkpoints") CORP = Path(f"{ROOT_STR}/data/corpus") OUT = Path(f"{ROOT_STR}/discovery"); OUT.mkdir(exist_ok=True) TOP_K_GENES = 20 def compute_hessian_for_class(model, protos, class_idx, x_pca_c, pca_V, mu, sig, gene_idx_subset): # parametrise perturbation as delta in gene-z space of the D selected genes V_sub = torch.from_numpy(pca_V[:, gene_idx_subset]).float().to(DEVICE) # (50, D) def f_of_delta(delta): x = x_pca_c + V_sub @ delta x = x.clamp(-10, 10).unsqueeze(0) aux = torch.zeros(1, 2, device=DEVICE) h = model.trunk(x) z_raw = model.projection(h) z = torch.nn.functional.normalize(z_raw, dim=1) return (z * protos[class_idx].unsqueeze(0)).sum() D = len(gene_idx_subset) delta0 = torch.zeros(D, device=DEVICE) H = torch.autograd.functional.hessian(f_of_delta, delta0) return H.detach().cpu().numpy() def main(sys): print(f"\n===== {sys} =====", flush=True) stats = np.load(CORP / sys / "harmonized/corpus_stats.npz", allow_pickle=True) hvgs = [str(g) for g in stats["shared_hvgs"]] mu = np.asarray(stats["mean"], dtype=np.float32) sig = np.asarray(stats["std"], dtype=np.float32) pca = pickle.load(open(CORP / sys / "harmonized/pca_basis.pkl", "rb")) ck = torch.load(CKPT / sys / "marker" / "panda_final.pt", map_location=DEVICE, weights_only=False) model = PANDAEncoder(variant="marker", n_pca=50, n_markers=len(ck.get("marker_genes",[])), n_classes=len(ck["classes"]), n_sub=3, n_datasets=len(ck["datasets"])).to(DEVICE).eval() model.load_state_dict(ck["model"]) classes = ck["classes"] protos = torch.from_numpy(ck["prototypes"]).to(DEVICE) protos = protos / (protos.norm(dim=1, keepdim=True) + 1e-8) corp = ad.read_h5ad(CORP / sys / "harmonized/corpus.h5ad") label_key = "canonical_label" if "canonical_label" in corp.obs else "cell_type" y = corp.obs[label_key].astype(str).values hvg2i = {g: i for i, g in enumerate(hvgs)} common = [g for g in corp.var_names.astype(str) if g in hvg2i] a = corp[:, common].copy() sc.pp.normalize_total(a, target_sum=1e4); sc.pp.log1p(a) X = a.X.toarray().astype(np.float32) if sp.issparse(a.X) else a.X.astype(np.float32) Xf = np.zeros((corp.n_obs, len(hvgs)), dtype=np.float32) cols = np.array([hvg2i[g] for g in common]) Xf[:, cols] = X A = np.load(OUT / f"80_{sys}_gene_attribution_full.npy") K = len(classes) H_all = np.zeros((K, TOP_K_GENES, TOP_K_GENES), dtype=np.float32) top_gene_names_per_class = [] pair_rows = [] for ci, cls_name in enumerate(classes): mask = y == cls_name if mask.sum() == 0: print(f"[!] {cls_name}: no cells in corpus", flush=True) continue x_gene_log_mean = Xf[mask].mean(axis=0) x_z = np.clip((x_gene_log_mean - mu) / sig, -10, 10) x_pca_c = torch.from_numpy(pca.transform(x_z.reshape(1, -1))[0]).float().to(DEVICE) att_c = A[ci] gene_idx = np.argsort(-np.abs(att_c))[:TOP_K_GENES] top_names = [hvgs[i] for i in gene_idx] top_gene_names_per_class.append(top_names) H = compute_hessian_for_class(model, protos, ci, x_pca_c, pca.components_.astype(np.float32), mu, sig, gene_idx.tolist()) H_all[ci] = H off = H.copy() np.fill_diagonal(off, 0) rows, cols_ = np.triu_indices(TOP_K_GENES, k=1) vals = off[rows, cols_] order = np.argsort(-np.abs(vals))[:30] for r_i in order: gi, gj = int(rows[r_i]), int(cols_[r_i]) pair_rows.append({ "class": cls_name, "gene_a": top_names[gi], "gene_b": top_names[gj], "hessian_off_diag": float(vals[r_i]), "abs_h": float(abs(vals[r_i])), "attribution_a": float(att_c[gene_idx[gi]]), "attribution_b": float(att_c[gene_idx[gj]]), }) print(f"[{cls_name}] Hessian |diag|_max={float(np.abs(np.diag(H)).max()):.4f} " f"|offdiag|_max={float(np.abs(off).max()):.4f} " f"top-3 pairs: {', '.join([f'{top_names[int(rows[r_i])]}ยท{top_names[int(cols_[r_i])]}({vals[r_i]:+.4f})' for r_i in order[:3]])}", flush=True) np.save(OUT / f"85_{sys}_hessian_top20.npy", H_all) with open(OUT / f"85_{sys}_hessian_top20_genes.json", "w") as f: json.dump({classes[i]: top_gene_names_per_class[i] for i in range(K)}, f, indent=2) pd.DataFrame(pair_rows).to_csv(OUT / f"85_{sys}_hessian_pairs.csv", index=False) print(f"[wrote] {OUT}/85_{sys}_hessian_*", flush=True) for sys in ["pan_skin", "hematopoiesis", "pancreas"]: try: main(sys) except Exception as e: import traceback; traceback.print_exc() print(f"[!] {sys}: {e}", flush=True) print("\n=== DONE ===", flush=True)