#!/usr/bin/env python3 """Cable separability in the ACT encoder space: PC1/PC2, 3-D PCA, and t-SNE. Shows PC1/PC2 explicitly rather than jumping straight to the components that happen to separate -- picking PC4/PC3 without showing the default view invites the fair objection that the projection was cherry-picked. Each panel carries the held-out classification accuracy obtainable from exactly the axes drawn, so the figure can be read quantitatively instead of by eye. All panels use held-out episodes. Splits are by EPISODE: frames within one episode are near-duplicates, so a frame-level split leaks the answer. """ import argparse import numpy as np import matplotlib matplotlib.use("Agg") import matplotlib.pyplot as plt from mpl_toolkits.mplot3d import Axes3D # noqa: F401 from sklearn.decomposition import PCA from sklearn.linear_model import LogisticRegression from sklearn.manifold import TSNE from sklearn.pipeline import make_pipeline from sklearn.preprocessing import StandardScaler DIA = {"cable 1.70 sq": 1.7, "blue cable": 2.6, "cable 3.30 sq": 4.5} NAME = {1.7: "1.7 mm", 2.6: "2.6 mm", 4.5: "4.5 mm"} COLOR = {1.7: "#C05621", 2.6: "#2B6CB0", 4.5: "#2F855A"} def held_out_acc(Ztr, ytr, Zte, yte): clf = make_pipeline(StandardScaler(), LogisticRegression(max_iter=3000)) clf.fit(Ztr, ytr) return clf.score(Zte, yte) def main(): ap = argparse.ArgumentParser() ap.add_argument("--cache", default="outputs/pca/cache_cable_feats.npz") ap.add_argument("--out", default="outputs/pca/cable_pca_tsne.png") ap.add_argument("--perplexity", type=float, default=30.0) args = ap.parse_args() d = np.load(args.cache, allow_pickle=True) X, y, ep = d["feats"], d["y"], d["eps"] rng = np.random.default_rng(0) tr = np.zeros(len(y), bool) for t in np.unique(y): e = np.unique(ep[y == t]) tr |= np.isin(ep, rng.choice(e, size=int(len(e) * 0.7), replace=False)) te = ~tr Xc = X - X.mean(0) p = PCA(n_components=12).fit(Xc) Z = p.transform(Xc) evr = p.explained_variance_ratio_ plt.rcParams.update({"font.family": ["DejaVu Sans"], "font.size": 11}) fig = plt.figure(figsize=(18, 5.4)) def draw2d(ax, A, i, j, title, xlab, ylab): for t in sorted(set(y), key=lambda s: DIA[s]): m = te & (y == t) ax.scatter(A[m, i], A[m, j], s=14, alpha=0.6, edgecolors="none", c=COLOR[DIA[t]], label=NAME[DIA[t]]) ax.set_xlabel(xlab); ax.set_ylabel(ylab) ax.set_title(title, fontsize=11.5) ax.spines[["top", "right"]].set_visible(False) # 1) the default projection, shown as-is ax1 = fig.add_subplot(1, 4, 1) a = held_out_acc(Z[tr][:, [0, 1]], y[tr], Z[te][:, [0, 1]], y[te]) draw2d(ax1, Z, 0, 1, f"PCA PC1 vs PC2\n{a:.1%} accuracy (chance 33.3%)", f"PC1 ({evr[0]:.1%})", f"PC2 ({evr[1]:.1%})") ax1.legend(frameon=False, fontsize=9) # 2) the components that do carry cable identity ax2 = fig.add_subplot(1, 4, 2) a = held_out_acc(Z[tr][:, [3, 2]], y[tr], Z[te][:, [3, 2]], y[te]) draw2d(ax2, Z, 3, 2, f"PCA PC4 vs PC3\n{a:.1%} accuracy", f"PC4 ({evr[3]:.1%})", f"PC3 ({evr[2]:.1%})") # 3) 3-D PCA over the first three components ax3 = fig.add_subplot(1, 4, 3, projection="3d") a = held_out_acc(Z[tr][:, :3], y[tr], Z[te][:, :3], y[te]) for t in sorted(set(y), key=lambda s: DIA[s]): m = te & (y == t) ax3.scatter(Z[m, 0], Z[m, 1], Z[m, 2], s=9, alpha=0.5, edgecolors="none", c=COLOR[DIA[t]], label=NAME[DIA[t]]) ax3.set_xlabel("PC1"); ax3.set_ylabel("PC2"); ax3.set_zlabel("PC3") ax3.set_title(f"PCA 3-D (PC1-PC3)\n{a:.1%} accuracy", fontsize=11.5) # 4) t-SNE, run on the PCA-reduced space as is standard ax4 = fig.add_subplot(1, 4, 4) emb = TSNE(n_components=2, perplexity=args.perplexity, init="pca", random_state=0).fit_transform(Z[:, :30] if Z.shape[1] >= 30 else PCA(30).fit_transform(Xc)) for t in sorted(set(y), key=lambda s: DIA[s]): m = te & (y == t) ax4.scatter(emb[m, 0], emb[m, 1], s=14, alpha=0.6, edgecolors="none", c=COLOR[DIA[t]], label=NAME[DIA[t]]) ax4.set_xlabel("t-SNE 1"); ax4.set_ylabel("t-SNE 2") ax4.set_title(f"t-SNE (perplexity {args.perplexity:g})\nnon-linear; distances not metric", fontsize=11.5) ax4.spines[["top", "right"]].set_visible(False) fig.tight_layout() fig.savefig(args.out, dpi=150, bbox_inches="tight") print(f"wrote {args.out}\n") for name, cols in (("PC1,PC2", [0, 1]), ("PC1-PC3", [0, 1, 2]), ("PC4,PC3", [3, 2]), ("PC1-PC10", list(range(10)))): print(f" {name:9s} held-out accuracy {held_out_acc(Z[tr][:, cols], y[tr], Z[te][:, cols], y[te]):.1%}") clf = make_pipeline(StandardScaler(), LogisticRegression(max_iter=3000)).fit(X[tr], y[tr]) print(f" {'full 512':9s} held-out accuracy {clf.score(X[te], y[te]):.1%} (chance 33.3%)") if __name__ == "__main__": main()