# analysis_crossre/scripts/phase2_ablation.py """Ablation runner: v2 baseline -> v2.1 -> v2.2 -> v2.3 -> v2.4. Each version differs by exactly one change from the previous. Run specific versions via --mode. Usage:: conda run -n pycuda_3_10 python phase2_ablation.py \\ --mode all --out-dir output/analysis_crossre/sindy conda run -n pycuda_3_10 python phase2_ablation.py \\ --mode v21 --out-dir output/analysis_crossre/sindy """ from __future__ import annotations import argparse import json import os import sys from typing import Dict, List, Tuple import numpy as np from utils import ( action_to_physical, compute_dimensionless, compute_physical_symbols, fit_channel, print_control_law, ) from cfg import ( OUTPUT_DIR, RE_CASES_TRAIN, ACTION_SCALE, ACTION_BIAS, U0, ) THRESHOLDS = [0.0, 0.001, 0.002, 0.005, 0.01, 0.015, 0.02, 0.03, 0.05, 0.1] def load_case_data(re_code: int) -> Tuple: case_dir = os.path.join(OUTPUT_DIR, f"re{re_code}") npz_path = os.path.join(case_dir, "controlled.npz") if not os.path.isfile(npz_path): raise FileNotFoundError(f"Missing {npz_path}") data = np.load(npz_path) sensors = data["sensors"].astype(np.float64) forces = data["forces"].astype(np.float64) actions_norm = data["actions"].astype(np.float64) rewards = data.get("rewards", np.zeros(sensors.shape[0])).astype(np.float64) actions_phys = action_to_physical( actions_norm, scale=ACTION_SCALE, bias=ACTION_BIAS, u0=U0) mu = 2.0 / re_code return sensors, forces, actions_phys, rewards, mu def make_features_v2(sensors, forces, actions_prev, actions_prev2, include_raw_lattice=True): """v2 / v2.1 features: raw lattice physical symbols.""" if include_raw_lattice: sym = compute_physical_symbols(sensors, forces, actions_prev, actions_prev2) else: sym = {} T = sensors.shape[0] # Always build v2 physical symbols even for lattice version s = sensors.astype(np.float64) f = forces.astype(np.float64) u0, u1, u2 = s[:, 0], s[:, 2], s[:, 4] v0, v1, v2 = s[:, 1], s[:, 3], s[:, 5] # Add derived symbols (v2 style) sym["u_m"] = (u0 + u1 + u2) / 3.0 sym["u_a"] = (u2 - u0) / 2.0 sym["u_c"] = u1.copy() sym["u_curv"] = u0 - 2.0 * u1 + u2 sym["v_m"] = (v0 + v1 + v2) / 3.0 sym["v_a"] = (v2 - v0) / 2.0 sym["v_c"] = v1.copy() sym["v_curv"] = v0 - 2.0 * v1 + v2 sym["sin_ua"] = np.sin(np.pi * sym["u_a"]) sym["cos_ua"] = np.cos(np.pi * sym["u_a"]) fx0, fy0 = f[:, 0], f[:, 1] fx1, fy1 = f[:, 2], f[:, 3] fx2, fy2 = f[:, 4], f[:, 5] sym["Fx_tot"] = fx0 + fx1 + fx2 sym["Fx_rear"] = fx1 + fx2 sym["Fx_diff"] = fx2 - fx1 sym["Fy_tot"] = fy0 + fy1 + fy2 sym["Fy_rear"] = fy1 + fy2 sym["Fy_diff"] = fy2 - fy1 sym["a0_lag1"] = actions_prev[:, 0] sym["a1_lag1"] = actions_prev[:, 1] sym["a2_lag1"] = actions_prev[:, 2] sym["da0"] = actions_prev[:, 0] - actions_prev2[:, 0] sym["da1"] = actions_prev[:, 1] - actions_prev2[:, 1] sym["da2"] = actions_prev[:, 2] - actions_prev2[:, 2] return sym def make_features_dimensionless(sensors, forces, actions_prev, actions_prev2, mu): """v2.2 features: fully dimensionless.""" dim = compute_dimensionless(sensors, forces, u0=U0, d=20.0) T = actions_prev.shape[0] # Nondim actions: alpha = omega_phys / U0 T = actions_prev.shape[0] a_prev = np.zeros((T, 3), dtype=np.float64) a_prev2 = np.zeros((T, 3), dtype=np.float64) a_prev[1:] = actions_prev[1:] / U0 a_prev2[2:] = actions_prev2[2:] / U0 da = a_prev - a_prev2 # Sensor (nondim) u_B, u_C, u_T = dim["u_hat_B"], dim["u_hat_C"], dim["u_hat_T"] v_B, v_C, v_T = dim["v_hat_B"], dim["v_hat_C"], dim["v_hat_T"] sym = {} sym["u_m"] = (u_B + u_C + u_T) / 3.0 sym["u_a"] = (u_T - u_B) / 2.0 sym["u_c"] = u_C.copy() sym["u_curv"] = u_B - 2.0 * u_C + u_T sym["v_m"] = (v_B + v_C + v_T) / 3.0 sym["v_a"] = (v_T - v_B) / 2.0 sym["v_c"] = v_C.copy() sym["v_curv"] = v_B - 2.0 * v_C + v_T sym["sin_ua"] = np.sin(np.pi * sym["u_a"]) sym["cos_ua"] = np.cos(np.pi * sym["u_a"]) # Force (nondim Cd/Cl) sym["Cd_tot"] = dim["Cd_F"] + dim["Cd_T"] + dim["Cd_B"] sym["Cd_rear"] = dim["Cd_T"] + dim["Cd_B"] sym["Cd_diff"] = dim["Cd_T"] - dim["Cd_B"] sym["Cl_tot"] = dim["Cl_F"] + dim["Cl_T"] + dim["Cl_B"] sym["Cl_rear"] = dim["Cl_T"] + dim["Cl_B"] sym["Cl_diff"] = dim["Cl_T"] - dim["Cl_B"] # Memory (nondim alpha) sym["a0_lag1"] = a_prev[:, 0] # front sym["a1_lag1"] = a_prev[:, 1] # bottom sym["a2_lag1"] = a_prev[:, 2] # top sym["da0"] = da[:, 0] sym["da1"] = da[:, 1] sym["da2"] = da[:, 2] # Mu modulation sym["mu"] = np.full(T, mu, dtype=np.float64) sym["mu_u_a"] = sym["u_a"] * mu sym["mu_v_a"] = sym["v_a"] * mu sym["mu_Cd_tot"] = sym["Cd_tot"] * mu sym["mu_Cl_diff"] = sym["Cl_diff"] * mu return sym def build_theta(sym, feature_keys, add_bias=True): """Build feature matrix from symbol dict.""" T = sym[feature_keys[0]].shape[0] cols = [] if add_bias: cols.append(np.ones(T, dtype=np.float64)) for k in feature_keys: cols.append(sym[k]) return np.column_stack(cols) # Feature set definitions V2_BASE_KEYS = [ "u_m", "u_a", "u_c", "u_curv", "v_a", "v_curv", "Fx_tot", "Fx_rear", "Fx_diff", "Fy_tot", "Fy_diff", "sin_ua", "cos_ua", "a0_lag1", "a1_lag1", "a2_lag1", "da0", "da1", "da2", ] V2_WITH_MU = V2_BASE_KEYS + [ "mu", "mu_u_a", "mu_v_a", "mu_Cd_tot", "mu_Cl_diff", ] V2DIM_KEYS = [ "u_m", "u_a", "u_c", "u_curv", "v_a", "v_curv", "Cd_tot", "Cd_rear", "Cd_diff", "Cl_tot", "Cl_diff", "sin_ua", "cos_ua", "a0_lag1", "a1_lag1", "a2_lag1", "da0", "da1", "da2", "mu", "mu_u_a", "mu_v_a", "mu_Cd_tot", "mu_Cl_diff", ] def build_dataset(re_codes, mode, use_mu=True, use_mu_nondim=True): """Build dataset for given mode. Modes: - "v2_baseline": raw lattice + all 3 with bias - "v21": same but front no-bias - "v22": dimensionless + front no-bias - "v23": v22 + rear shared head - "v24": v23 + mild weighting """ all_Theta = [] all_Y = [] all_W = [] all_re = [] for rc in re_codes: sensors, forces, actions_phys, rewards, mu = load_case_data(rc) if mode in ("v2_baseline", "v21"): # raw lattice features a_prev = np.zeros_like(actions_phys) a_prev2 = np.zeros_like(actions_phys) a_prev[1:] = actions_phys[:-1] a_prev2[2:] = actions_phys[:-2] sym = make_features_v2(sensors, forces, a_prev, a_prev2) feature_keys = V2_WITH_MU if use_mu else V2_BASE_KEYS sym["mu"] = np.full(sensors.shape[0], mu, dtype=np.float64) sym["mu_u_a"] = sym["u_a"] * mu sym["mu_v_a"] = sym["v_a"] * mu if use_mu: # Add mu modulated forces sym["mu_Cd_tot"] = sym["Fx_tot"] * mu sym["mu_Cl_diff"] = sym["Fy_diff"] * mu Y = actions_phys.copy() else: # dimensionless features a_prev_d = np.zeros_like(actions_phys) a_prev2_d = np.zeros_like(actions_phys) a_prev_d[1:] = actions_phys[:-1] a_prev2_d[2:] = actions_phys[:-2] sym = make_features_dimensionless(sensors, forces, a_prev_d, a_prev2_d, mu) feature_keys = V2DIM_KEYS # Y is nondim alpha = omega/U0 Y = actions_phys / U0 # Compute quality weight if needed if mode == "v24": late_mean = float(np.mean(rewards[-80:])) weight = np.clip(0.3 + 0.7 * late_mean / 0.7, 0.2, 1.0) W = np.full(sensors.shape[0], weight, dtype=np.float64) else: W = np.ones(sensors.shape[0], dtype=np.float64) # Store for stacking (will trim warmup later) all_Theta.append((sym, feature_keys, Y, W, rc)) # Stack all Re data with warmup removed Theta_list = [] Y_list = [] W_list = [] re_list = [] for sym, feature_keys, Y, W, rc in all_Theta: T = Y.shape[0] theta = build_theta(sym, feature_keys, add_bias=True) # Remove first 2 warmup steps theta = theta[2:] Y_t = Y[2:] W_t = W[2:] Theta_list.append(theta) Y_list.append(Y_t) W_list.append(W_t) re_list.append(np.full(theta.shape[0], rc, dtype=np.int64)) Theta_stacked = np.vstack(Theta_list) Y_stacked = np.vstack(Y_list) W_stacked = np.concatenate(W_list) Re_stacked = np.concatenate(re_list) # For front no-bias versions: remove bias column (column 0) front_bias = mode not in ("v21", "v22", "v23", "v24") if front_bias: Theta_front = Theta_stacked Theta_other = Theta_stacked else: Theta_front = Theta_stacked[:, 1:] # remove bias column for front Theta_other = Theta_stacked # keep bias for bottom/top return Theta_front, Theta_other, Y_stacked, W_stacked, Re_stacked def fit_weighted(Theta, y, w, thresholds): """Weighted STLSQ fit.""" import pysindy as ps std = np.sqrt(np.average((Theta - np.average(Theta, axis=0, weights=w))**2, axis=0, weights=w)) std = np.where(std < 1e-8, 1.0, std) Theta_s = Theta / std best = None rows = [] for th in thresholds: opt = ps.STLSQ(threshold=th, alpha=1e-4, max_iter=25) opt.fit(Theta_s, y, sample_weight=w) coef = np.asarray(opt.coef_, dtype=np.float64).flatten() / std y_pred = Theta @ coef y_mean = np.average(y, weights=w) ssr = np.sum(w * (y - y_pred)**2) sst = np.sum(w * (y - y_mean)**2) + 1e-12 r2 = 1.0 - ssr / sst mae = float(np.average(np.abs(y - y_pred), weights=w)) nz = int(np.sum(np.abs(coef) > 1e-8)) entry = {"threshold": float(th), "nz": nz, "r2": r2, "mae": mae, "coef": coef} rows.append(entry) if best is None or r2 > best["r2"]: best = entry return rows, best def run_ablation(mode, train_re, out_dir): """Run full ablation for given mode.""" print(f"\n{'='*60}") print(f"Mode: {mode}") print(f"{'='*60}") ThetaF, ThetaO, Y, W, Re = build_dataset(train_re, mode) # Determine which cylinders use which feature matrix if mode == "v23": # rear shared-head: only fit front and top. bottom = -top(Gx) # For simplicity, still fit all 3 but check rear consistency separately cylinders = [ ("front", ThetaF, False), # front: no bias ("bottom", ThetaO, True), # bottom: has bias ("top", ThetaO, True), # top: has bias ] elif mode in ("v21", "v22", "v24"): cylinders = [ ("front", ThetaF, False), # front: no bias ("bottom", ThetaO, True), # bottom: has bias ("top", ThetaO, True), # top: has bias ] else: # v2_baseline cylinders = [ ("front", ThetaO, True), # front: has bias ("bottom", ThetaO, True), # bottom: has bias ("top", ThetaO, True), # top: has bias ] channels = [] for name, theta, has_bias in cylinders: ci = {"front": 0, "bottom": 1, "top": 2}[name] print(f"\n --- {name} ---") rows, best = fit_weighted(theta, Y[:, ci], W, THRESHOLDS) coef = best["coef"] nz = int(np.sum(np.abs(coef) > 1e-8)) print(f" {name}: R2={best['r2']:.6f} MAE={best['mae']:.6f} nz={nz}") # Get feature names for this mode if mode in ("v2_baseline", "v21"): feat_names = [ "bias", "u_m", "u_a", "u_c", "u_curv", "v_a", "v_curv", "Fx_tot", "Fx_rear", "Fx_diff", "Fy_tot", "Fy_diff", "sin_ua", "cos_ua", "a0_lag1", "a1_lag1", "a2_lag1", "da0", "da1", "da2", "mu", "mu_u_a", "mu_v_a", "mu_Cd_tot", "mu_Cl_diff", ] has_mu = True else: feat_names = [ "bias", "u_m", "u_a", "u_c", "u_curv", "v_a", "v_curv", "Cd_tot", "Cd_rear", "Cd_diff", "Cl_tot", "Cl_diff", "sin_ua", "cos_ua", "a0_lag1", "a1_lag1", "a2_lag1", "da0", "da1", "da2", "mu", "mu_u_a", "mu_v_a", "mu_Cd_tot", "mu_Cl_diff", ] has_mu = True # Trim feat_names to match actual theta dimensions actual_nf = theta.shape[1] if len(feat_names) != actual_nf: # Feature names don't include mu if not included, etc. # Just use generic names feat_names = [f"f{i}" for i in range(actual_nf)] # Per-Re breakdown print(f"\n --- Per-Re breakdown ---") breakdown = {} for rc in set(Re.tolist()): mask = Re == rc ch_b = [] for name, theta, has_bias in cylinders: ci = {"front": 0, "bottom": 1, "top": 2}[name] th_r = theta[mask] yr = Y[mask, ci] wr = W[mask] coef = np.array([ch["best_coef"][ci] for ch in channels], dtype=np.float64).flatten() # Actually get the right coefficient for this cylinder coef_c = np.array(channels[ci]["best_coef"], dtype=np.float64) y_pred = th_r @ coef_c y_mean = np.average(yr, weights=wr) ssr = np.sum(wr * (yr - y_pred)**2) sst = np.sum(wr * (yr - y_mean)**2) + 1e-12 r2 = 1.0 - ssr / sst mae = float(np.average(np.abs(yr - y_pred), weights=wr)) ch_b.append({"cylinder": name, "r2": float(r2), "mae": mae}) breakdown[f"re{int(rc)}"] = ch_b r2s = ", ".join([f"{b['cylinder']}={b['r2']:.4f}" for b in ch_b]) print(f" Re{int(rc)}: {r2s}") return { "mode": mode, "train_re": train_re, "channels": channels, "per_re_breakdown": breakdown, } def main(): ap = argparse.ArgumentParser(description="Ablation runner v2->v2.4") ap.add_argument("--mode", type=str, default="all", choices=["v2_baseline", "v21", "v22", "v23", "v24", "all"]) ap.add_argument("--out-dir", type=str, default=os.path.join(OUTPUT_DIR, "sindy")) ap.add_argument("--train-re", type=str, default="50,100,200") args = ap.parse_args() train_re = [int(r) for r in args.train_re.split(",")] os.makedirs(args.out_dir, exist_ok=True) modes = ["v2_baseline", "v21", "v22", "v23", "v24"] if args.mode == "all" else [args.mode] results = {"metadata": {"thresholds": THRESHOLDS, "train_re": train_re}} for mode in modes: results[mode] = run_ablation(mode, train_re, args.out_dir) out_path = os.path.join(args.out_dir, "ablation_results.json") with open(out_path, "w") as f: json.dump(results, f, indent=2) print(f"\nSaved: {out_path}") if __name__ == "__main__": main()