""" SRT Router: Statistical Routing Theory implementation. Two modes: --srt_metric_mode hard: Whitening + ZCA + L2 (equivalent to Pooled Mahalanobis per Theorem 4). Matches routing_analysis experiment: whitening fitted on train, applied always. Single fixed metric → argmin is always valid. --srt_metric_mode dynamics: No whitening. SRM global metric selection on synthetic data. Bug fixed: SRM runs AFTER add_task so ALL tasks get SRM-assigned metric. → All tasks use same metric → argmin is valid. Zero-rehearsal compliant: only sufficient statistics, no raw data. """ import math import numpy as np import torch from typing import Dict, List, Tuple, Optional, Union # ───────────────────────────────────────────────────────────────────────────── # METRICS # ───────────────────────────────────────────────────────────────────────────── def metric_l2( h: np.ndarray, # (n, d) or (d,) mu: np.ndarray, ) -> np.ndarray: """L2 distance from centroid. Use when isotropic (PaR ≈ d).""" if h.ndim == 1: h = h.reshape(1, -1) diff = h - mu return np.sqrt(np.einsum('nd,nd->n', diff, diff)) def metric_mahalanobis( h: np.ndarray, mu: np.ndarray, Sinv: np.ndarray, ) -> np.ndarray: """Mahalanobis distance. Use when anisotropic (PaR ≪ d).""" if h.ndim == 1: h = h.reshape(1, -1) diff = h - mu return np.einsum('nd,dg,ng->n', diff, Sinv, diff) def metric_psr( h: np.ndarray, mu: np.ndarray, eigvecs: np.ndarray, # (d, k) eigvals: np.ndarray, # (k,) d_total: int, ) -> np.ndarray: """ Probabilistic Subspace Routing (PSR) metric from C1 §3.3. d_PSR(h, t) = ||U_tᵀ(h - μ_t)||² + (r/(d-r)) · ||(I - U_t U_tᵀ)(h - μ_t)||² Use when low-rank anisotropic (PaR ≪ d, effective dims low). """ if h.ndim == 1: h = h.reshape(1, -1) diff = h - mu # (n, d) proj = diff @ eigvecs # (n, k) in_sub = np.sum(proj ** 2, axis=-1) # (n,) v_norm_sq = np.einsum('nd,nd->n', diff, diff) # (n,) out_sub = v_norm_sq - in_sub # (n,) k = eigvecs.shape[1] scale = k / max(d_total - k, 1) return in_sub + scale * out_sub def pinv_ridge(Sigma: np.ndarray, rcond: float = 1e-6) -> np.ndarray: """Stable pseudo-inverse of a symmetric covariance matrix.""" eigvals, eigvecs = np.linalg.eigh(Sigma) eigvals = np.maximum(eigvals, rcond * np.max(eigvals)) idx = np.argsort(eigvals)[::-1] eigvals = eigvals[idx] eigvecs = eigvecs[:, idx] return eigvecs @ np.diag(1.0 / eigvals) @ eigvecs.T # ───────────────────────────────────────────────────────────────────────────── # ZCA WHITENING # ───────────────────────────────────────────────────────────────────────────── def compute_whitening(task_embs: Dict[int, np.ndarray]) -> Tuple[np.ndarray, np.ndarray]: """ Compute ZCA whitening transform from pooled embeddings. ZCA: W such that (h - μ)ᵀ Wᵀ W (h - μ) is isotropic. Fit on ALL task embeddings pooled together (per experiment design in compare_routing.py: fit on train, apply to test). Returns: (mu_global, W_zca) where W_zca @ (h - mu_global) whitens h. """ all_embs = np.vstack(list(task_embs.values())) mu_global = all_embs.mean(0) Xc = all_embs - mu_global cov_global = np.cov(Xc, rowvar=False) eigvals, eigvecs = np.linalg.eigh(cov_global) eigvals = np.maximum(eigvals, 1e-8) idx = np.argsort(eigvals)[::-1] eigvals = eigvals[idx] eigvecs = eigvecs[:, idx] W_zca = eigvecs @ np.diag(1.0 / np.sqrt(eigvals)) @ eigvecs.T return mu_global, W_zca def apply_whitening( h: np.ndarray, mu_global: np.ndarray, W_zca: np.ndarray, ) -> np.ndarray: """Apply ZCA whitening: h_whitened = (h - mu_global) @ W_zca.T.""" if h.ndim == 1: h = h.reshape(1, -1) return (h - mu_global) @ W_zca.T # ───────────────────────────────────────────────────────────────────────────── # PARTICIPATION RATIO # ───────────────────────────────────────────────────────────────────────────── def participation_ratio(Sigma: np.ndarray) -> float: """PaR = (Σλ)² / Σλ² ∈ [1, d].""" eigvals = np.linalg.eigvalsh(Sigma) eigvals = np.maximum(eigvals, 1e-10) return (eigvals.sum() ** 2) / (eigvals ** 2).sum() def ledoit_wolf_shrinkage(Sigma: np.ndarray, factor: float = 0.1) -> np.ndarray: """ Ledoit-Wolf shrinkage toward scalar identity. Σ_shrunk = (1 - δ) · Σ + δ · λ̄ · I """ d = Sigma.shape[0] trace = np.trace(Sigma) sigma_mean = trace / d target = sigma_mean * np.eye(d) return (1 - factor) * Sigma + factor * target # ───────────────────────────────────────────────────────────────────────────── # POOLED COVARIANCE UPDATE (Welford–Hart) # ───────────────────────────────────────────────────────────────────────────── def update_pooled_cov( mu_old: np.ndarray, cov_old: np.ndarray, n_old: int, mu_new: np.ndarray, cov_new: np.ndarray, n_new: int, ) -> Tuple[np.ndarray, np.ndarray, int]: """ Welford–Hart compact update for pooled mean and covariance. """ total = n_old + n_new if total <= 1: raise ValueError(f"total={total} must be > 1") mu_pool = (n_old * mu_old + n_new * mu_new) / total delta = mu_new - mu_old C = (n_old * n_new / total) * np.outer(delta, delta) cov_pool = ( (n_old - 1) * cov_old + (n_new - 1) * cov_new + C ) / (total - 1) return mu_pool, cov_pool, total # ───────────────────────────────────────────────────────────────────────────── # POOLED SHRINKAGE (Theorem 5) # ───────────────────────────────────────────────────────────────────────────── def pooled_shrinkage_target( Sigma_t: np.ndarray, Sigma_pool: np.ndarray, n_t: int, n_pool: int, alpha_min: float = 0.01, alpha_max: float = 0.99, ) -> Tuple[np.ndarray, float]: """ Compute optimal pooled shrinkage target for task t (Theorem 5 from C1). Optimal: Σ_t* = (1 - α_t*) Σ̂_t + α_t* Σ̂_pool where α_t* ≈ n_pool / (n_pool + n_t) """ alpha_opt = n_pool / (n_pool + n_t) alpha_opt = max(alpha_min, min(alpha_max, alpha_opt)) Sigma_shrunk = (1 - alpha_opt) * Sigma_t + alpha_opt * Sigma_pool return Sigma_shrunk, alpha_opt # ───────────────────────────────────────────────────────────────────────────── # SRM METRIC SELECTION (Theorem 7 — dynamics mode only) # ───────────────────────────────────────────────────────────────────────────── def srm_metric_selection( signatures: Dict[int, 'TaskSignature'], n_synthetic: int = 500, random_seed: int = 42, ) -> Tuple[Dict[int, str], Dict[str, float]]: """ Structural Risk Minimization (SRM) from C1 Theorem 7. Generates synthetic validation points from each task's Gaussian model, evaluates each metric globally, selects the metric minimizing routing error. CRITICAL FIX: SRM must run AFTER all tasks (including current) are added to signatures. Otherwise current task uses PaR fallback → mixed metrics → argmin across incomparable distances → misroute. Returns: ({task_id: metric}, {metric_name: error_rate}) """ rng = np.random.RandomState(random_seed) task_list = sorted(signatures.keys()) T = len(task_list) if T < 2: return {t: 'l2' for t in task_list}, {} # Generate synthetic validation data from each task h_val = [] labels = [] n_per = n_synthetic // T for t_id in task_list: sig = signatures[t_id] L = np.linalg.cholesky(sig.Sigma + 1e-6 * np.eye(sig.d)) z = rng.randn(n_per, sig.d) h_syn = sig.mu + (L @ z.T).T h_val.append(h_syn) labels.extend([t_id] * n_per) h_val = np.vstack(h_val) labels = np.array(labels) # Evaluate each metric globally errors = {} for metric_name in ['l2', 'mahalanobis', 'psr']: n_correct = 0 for i, h_i in enumerate(h_val): true_t = labels[i] best_t = None best_dist = np.inf for t_id in task_list: sig = signatures[t_id] if metric_name == 'l2': d = metric_l2(h_i, sig.mu) elif metric_name == 'mahalanobis': d = metric_mahalanobis(h_i, sig.mu, sig.Sinv) else: # psr k = max(1, int(np.sum(sig.eigvals > 1e-6 * sig.eigvals[0]))) d = metric_psr(h_i, sig.mu, sig.eigvecs[:, :k], sig.eigvals[:k], sig.d) if d < best_dist: best_dist = d best_t = t_id if best_t == true_t: n_correct += 1 errors[metric_name] = 1.0 - n_correct / len(labels) # Global selection: one metric for ALL tasks best_metric = min(errors, key=errors.get) print(f" [SRM] Routing errors: {errors}, selected: {best_metric}") # Same metric for all tasks return {t_id: best_metric for t_id in task_list}, errors # ───────────────────────────────────────────────────────────────────────────── # TASK SIGNATURE # ───────────────────────────────────────────────────────────────────────────── class TaskSignature: """ Statistical signature for one task. Stores: μ_t, Σ_t, n_t, eigenvalues, eigenvectors, metric type. Zero-rehearsal compliant: only sufficient statistics, no raw data. """ def __init__( self, task_id: Union[int, str], mu: np.ndarray, Sigma: np.ndarray, n: int, metric: str = 'l2', alpha: float = 0.0, Sigma_raw: Optional[np.ndarray] = None, h_train: Optional[np.ndarray] = None, # kept for backward compat on load; IGNORED mu_raw: Optional[np.ndarray] = None, ): self.task_id = task_id self.mu = mu.astype(np.float64) self.d = mu.shape[0] self.Sigma_raw = (Sigma_raw if Sigma_raw is not None else Sigma).astype(np.float64) self.Sigma = Sigma.astype(np.float64) self.n = n self.alpha = alpha self.mu_raw = mu_raw.astype(np.float64) if mu_raw is not None else mu.astype(np.float64).copy() self._metric = metric # Cached decompositions self._eigvals: Optional[np.ndarray] = None self._eigvecs: Optional[np.ndarray] = None self._Sinv: Optional[np.ndarray] = None self._par: Optional[float] = None @property def eigvals(self) -> np.ndarray: if self._eigvals is None: self._eigvals, self._eigvecs = np.linalg.eigh(self.Sigma) self._eigvals = np.maximum(self._eigvals, 1e-10) idx = np.argsort(self._eigvals)[::-1] self._eigvals = self._eigvals[idx] self._eigvecs = self._eigvecs[:, idx] return self._eigvals @property def eigvecs(self) -> np.ndarray: if self._eigvecs is None: _ = self.eigvals return self._eigvecs @property def Sinv(self) -> np.ndarray: if self._Sinv is None: self._Sinv = pinv_ridge(self.Sigma) return self._Sinv @property def par(self) -> float: if self._par is None: self._par = participation_ratio(self.Sigma) return self._par @property def metric(self) -> str: return self._metric def reshrink(self, Sigma_pool: np.ndarray, n_pool: int, alpha: float): """ Re-shrink toward pooled covariance using raw Σ as base (to avoid compounding shrinkage across re-shrink rounds). """ self.alpha = alpha self.Sigma = (1 - alpha) * self.Sigma_raw + alpha * Sigma_pool self.Sigma = self.Sigma.astype(np.float64) self._eigvals = None self._eigvecs = None self._Sinv = None self._par = None def distance(self, h: np.ndarray) -> np.ndarray: """ Compute distance from h to this task's centroid using this task's metric. """ if h.ndim == 1: h = h.reshape(1, -1) m = self.metric if m == 'l2': return metric_l2(h, self.mu) elif m == 'mahalanobis': return metric_mahalanobis(h, self.mu, self.Sinv) elif m == 'psr': k = max(1, int(np.sum(self.eigvals > 1e-6 * self.eigvals[0]))) return metric_psr(h, self.mu, self.eigvecs[:, :k], self.eigvals[:k], self.d) else: # Fallback: PaR-based if self.par >= 0.9 * self.d: return metric_l2(h, self.mu) elif self.par >= 0.3 * self.d: return metric_mahalanobis(h, self.mu, self.Sinv) else: k = max(1, int(np.sum(self.eigvals > 1e-6 * self.eigvals[0]))) return metric_psr(h, self.mu, self.eigvecs[:, :k], self.eigvals[:k], self.d) def to_dict(self) -> dict: d = { 'task_id': self.task_id, 'mu': self.mu, 'Sigma': self.Sigma, 'Sigma_raw': self.Sigma_raw, 'mu_raw': self.mu_raw, 'n': self.n, 'metric': self.metric, 'alpha': self.alpha, } # Zero-rehearsal compliant: only sufficient statistics, NO raw data. # h_train is NOT needed: Sigma_raw + mu_raw fully encode the distribution. # W_zca is reconstructed from Sigma_pool (already stored separately). return d @classmethod def from_dict(cls, d: dict) -> 'TaskSignature': return cls( task_id=d['task_id'], mu=d['mu'], Sigma=d['Sigma'], n=d['n'], metric=d.get('metric', 'l2'), alpha=d.get('alpha', 0.0), Sigma_raw=d.get('Sigma_raw', d['Sigma']), h_train=None, # h_train intentionally dropped: zero-rehearsal mu_raw=d.get('mu_raw'), ) # ───────────────────────────────────────────────────────────────────────────── # SRT ROUTER # ───────────────────────────────────────────────────────────────────────────── class SRTRouter: """ Statistical Routing Theory Router. Two modes (set via srt_metric_mode): 'hard' : whitening + L2. No SRM. Matches routing_analysis experiment. Whitening fitted on train embeddings, applied always. Single fixed metric (L2 in whitened space = Pooled Mahalanobis). argmin is always valid because all tasks use L2 in same space. 'dynamics': no whitening. SRM global metric selection on synthetic data. All tasks use same SRM-assigned metric → argmin is valid. Bug fixed: SRM runs AFTER add_task so ALL tasks get metric. Zero-drift: no learnable parameters. """ def __init__( self, srt_metric_mode: str = 'hard', use_shrink: bool = True, shrink_factor: float = 0.1, ): """ Args: srt_metric_mode: 'hard' | 'dynamics' 'hard' → ZCA whitening + L2 (matches experiment) 'dynamics' → SRM metric selection (matches contribution_UNIFIED) use_shrink: apply Ledoit-Wolf shrinkage to covariance shrink_factor: shrinkage intensity """ assert srt_metric_mode in ('hard', 'dynamics'), \ f"Unknown srt_metric_mode: {srt_metric_mode}" self.signatures: Dict[int, TaskSignature] = {} self._mu_pool: Optional[np.ndarray] = None self._Sigma_pool: Optional[np.ndarray] = None self._n_pool: int = 0 self.srt_metric_mode = srt_metric_mode self.use_shrink = use_shrink self.shrink_factor = shrink_factor # ── ZCA whitening (hard mode) ──────────────────────────────────── self._mu_global: Optional[np.ndarray] = None self._W_zca: Optional[np.ndarray] = None self._zca_fitted: bool = False # True after first ZCA fit; NEVER refit # ── SRM state (dynamics mode) ──────────────────────────────────── self._srm_metrics: Dict[int, str] = {} # ── Pooled statistics ─────────────────────────────────────────────── def _update_pooled(self, mu_t: np.ndarray, Sigma_t: np.ndarray, n_t: int): """Update running pooled mean and covariance.""" if self._n_pool == 0: self._mu_pool = mu_t.copy() self._Sigma_pool = Sigma_t.copy() self._n_pool = n_t else: self._mu_pool, self._Sigma_pool, self._n_pool = update_pooled_cov( self._mu_pool, self._Sigma_pool, self._n_pool, mu_t, Sigma_t, n_t, ) def _reshrink_all(self): """Re-shrink ALL tasks toward updated pooled covariance (Theorem 5).""" if self._n_pool <= 1: return for t_id, sig in self.signatures.items(): alpha_opt = self._n_pool / (self._n_pool + sig.n) alpha_opt = max(0.01, min(0.99, alpha_opt)) sig.reshrink(self._Sigma_pool, self._n_pool, alpha_opt) # ── Add task ───────────────────────────────────────────────────── def add_task( self, task_id: Union[int, str], h_train: np.ndarray, ) -> TaskSignature: """ Add a new task's statistical signature. HARD MODE — ZCA fit-once (the key fix): - Task 1: store raw stats only, ZCA NOT fitted yet - Task 2+: fit ZCA ONCE from pooled covariance of ALL seen tasks, WHITEN ALL tasks (including previous) with this fixed W. NEVER refit W again. - This matches the offline experiment (compute_whitening on all train embeddings once) and avoids the catastrophic incremental refitting bug where W changes every add_task() → centroids non-comparable. DYNAMICS MODE — SRM (unchanged logic): - Pooled update + re-shrink + SRM per task. Args: task_id: integer or string task ID h_train: (n_t, d) embeddings from FROZEN backbone Returns: TaskSignature for this task """ n_t, d = h_train.shape # ── Sufficient statistics (always in raw space) ──────────────── mu_t = h_train.mean(axis=0) Sigma_t = np.cov(h_train, rowvar=False, ddof=1) # Optional pre-whitening LW shrinkage (on raw covariance) if self.use_shrink: Sigma_t_shrunk = ledoit_wolf_shrinkage(Sigma_t, factor=self.shrink_factor) else: Sigma_t_shrunk = Sigma_t.copy() # ── Pooled statistics update (Welford–Hart) ─────────────────── self._update_pooled(mu_t, Sigma_t_shrunk, n_t) # ── Dynamics mode ──────────────────────────────────────────────── if self.srt_metric_mode == 'dynamics': # Re-shrink previous tasks toward updated pool if len(self.signatures) > 0: self._reshrink_all() sig = TaskSignature( task_id, mu_t, Sigma_t, n_t, metric='l2', Sigma_raw=Sigma_t, h_train=h_train, mu_raw=mu_t, ) self.signatures[task_id] = sig if len(self.signatures) >= 2: srm_results, _ = srm_metric_selection(self.signatures) self._srm_metrics = srm_results for t_id, m in srm_results.items(): self.signatures[t_id]._metric = m return sig # ── Hard mode: ZCA fit-once ─────────────────────────────────── # Re-shrink previous tasks toward updated pool (raw Σ, pre-whitening) if len(self.signatures) > 0: self._reshrink_all() if not self._zca_fitted: # FIRST TIME: fit ZCA from pooled mean + pooled covariance. # Uses Σ_pool which already aggregates ALL seen tasks via Welford–Hart. # This is the single, FINAL whitening transform — never refitted. self._mu_global = self._mu_pool.copy() cov_pool = self._Sigma_pool.copy() # Eigendecomposition of pooled covariance → ZCA transform eigvals, eigvecs = np.linalg.eigh(cov_pool) eigvals = np.maximum(eigvals, 1e-8) idx = np.argsort(eigvals)[::-1] eigvals = eigvals[idx] eigvecs = eigvecs[:, idx] self._W_zca = eigvecs @ np.diag(1.0 / np.sqrt(eigvals)) @ eigvecs.T self._zca_fitted = True # Re-whiten ALL previous tasks (from their raw centroids) for sig in self.signatures.values(): # sig.Sigma was reshrunk-but-unwhitened by _reshrink_all() # sig.mu_raw is the unwhitened centroid sig.mu = apply_whitening( sig.mu_raw.reshape(1, -1), self._mu_global, self._W_zca, ).ravel() sig.Sigma = self._W_zca @ sig.Sigma @ self._W_zca.T sig._eigvals = None; sig._eigvecs = None sig._Sinv = None; sig._par = None sig._metric = 'l2' n_d = self._n_pool / d print(f" [SRT] ZCA fitted once: n_pool={self._n_pool}, d={d}, n/d={n_d:.2f}") # Whiten current task with the FIXED (already-fitted) ZCA mu_t_w = apply_whitening( mu_t.reshape(1, -1), self._mu_global, self._W_zca, ).ravel() Sigma_t_w = self._W_zca @ Sigma_t_shrunk @ self._W_zca.T # NOTE: NO Ledoit-Wolf here — space is already whitened. # Post-whitening LW with lambda-bar-I target would distort isotropy. sig = TaskSignature( task_id, mu_t_w, Sigma_t_w, n_t, metric='l2', Sigma_raw=Sigma_t_shrunk, h_train=h_train, mu_raw=mu_t, ) self.signatures[task_id] = sig return sig # ── Route ──────────────────────────────────────────────────────── def route(self, h: np.ndarray) -> Tuple[np.ndarray, np.ndarray]: """ Route embeddings h to the nearest stored task. Args: h: (n, d) or (d,) — embeddings from frozen backbone Returns: task_ids: (n,) — predicted task ID for each embedding dists: (n, T) — distance to each task """ if h.ndim == 1: h = h.reshape(1, -1) # [hard mode] Apply ZCA whitening to query embeddings if self.srt_metric_mode == 'hard' and self._W_zca is not None: h = apply_whitening(h, self._mu_global, self._W_zca) n = h.shape[0] task_list = sorted(self.signatures.keys()) T = len(task_list) if T == 0: raise RuntimeError("SRT Router: no tasks registered.") dists = np.zeros((n, T), dtype=np.float64) for i, t_id in enumerate(task_list): dists[:, i] = self.signatures[t_id].distance(h) nearest_idx = np.argmin(dists, axis=1) nearest_task = np.array(task_list)[nearest_idx] # ── DEBUG ──────────────────────────────────────────────── if not hasattr(self, '_route_debug_count'): self._route_debug_count = 0 self._route_debug_count += 1 if self._route_debug_count % 1000 == 0 and n > 0: print(f"[SRT-ROUTE] mode={self.srt_metric_mode} n_tasks={T} " f"task_list={task_list} whiten={'Yes' if self._W_zca is not None else 'No'}") print(f"[SRT-ROUTE] Sample 0: dists={dists[0,:].tolist()} " f"argmin={nearest_idx[0]} pred={nearest_task[0]}") if hasattr(self, '_srm_metrics'): print(f"[SRT-ROUTE] SRM metrics: {self._srm_metrics}") return nearest_task, dists # ── Save / Load ─────────────────────────────────────────────────── def save(self, path: str): """Save all signatures to disk.""" sigs_data = {k: v.to_dict() for k, v in self.signatures.items()} np.savez_compressed( path, signatures=sigs_data, mu_pool=self._mu_pool if self._mu_pool is not None else np.array([]), Sigma_pool=self._Sigma_pool if self._Sigma_pool is not None else np.array([]), n_pool=np.array([self._n_pool]), srt_metric_mode=self.srt_metric_mode, use_shrink=np.array([self.use_shrink]), shrink_factor=np.array([self.shrink_factor]), mu_global=self._mu_global if self._mu_global is not None else np.array([]), W_zca=self._W_zca if self._W_zca is not None else np.array([]), zca_fitted=np.array([self._zca_fitted]), ) def load(self, path: str): """Load signatures from disk.""" data = np.load(path, allow_pickle=True) self.srt_metric_mode = str(data.get('srt_metric_mode', 'hard')) # Restore pooled statistics (empty array = None sentinel) mu_p = data['mu_pool'] self._mu_pool = mu_p if mu_p.size > 0 else None Sigma_p = data['Sigma_pool'] self._Sigma_pool = Sigma_p if Sigma_p.size > 0 else None self._n_pool = int(data['n_pool'][0]) # Restore shrink settings if 'use_shrink' in data: self.use_shrink = bool(data['use_shrink'][0]) if 'shrink_factor' in data: self.shrink_factor = float(data['shrink_factor'][0]) # ZCA whitening (empty array = None sentinel) mu_g = data.get('mu_global', np.array([])) W_z = data.get('W_zca', np.array([])) self._mu_global = mu_g if mu_g.size > 0 else None self._W_zca = W_z if W_z.size > 0 else None # ZCA was fitted once; restore flag (backward compat: infer from W if not saved) if 'zca_fitted' in data: self._zca_fitted = bool(data['zca_fitted'][0]) else: self._zca_fitted = (self._mu_global is not None and self._W_zca is not None) for k, v in data['signatures'].item().items(): self.signatures[k] = TaskSignature.from_dict(v) # ── Summary ─────────────────────────────────────────────────────── def summary(self) -> dict: """Return routing statistics.""" task_list = sorted(self.signatures.keys()) metrics = [self.signatures[t].metric for t in task_list] pars = [self.signatures[t].par for t in task_list] return { 'n_tasks': len(self.signatures), 'task_ids': task_list, 'metrics': metrics, 'pars': [f"{p:.1f}" for p in pars], 'avg_par': float(np.mean(pars)) if pars else 0.0, 'pool_n': self._n_pool, 'mode': self.srt_metric_mode, }