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{"type":"item.completed","item":{"id":"item_1","type":"agent_message","text":"```python\nimport numpy as np\nfrom sklearn.cluster import KMeans\nfrom sklearn.decomposition import FastICA\nfrom scipy.stats import kurtosis\nfrom threadpoolctl import threadpool_limits\nthreadpool_limits(4)\n\ng=W[\"ln1_w.0\"].astype(float)\nV=W[\"W_v.0\"][192:256].astype(float)*g\nB=W[\"W_o.0\"][:,192:256].astype(float)@V\nT=np.linalg.svd(V,full_matrices=False)[2][:24].T\nF=W[\"W_fc.0\"].astype(float)*W[\"ln2_w.0\"]\nX=F@T\nY=F@B@T\nX-=X.mean(0); Y-=Y.mean(0)\nZ=np.vstack([X,Y])\ncov=Z.T@Z/len(Z)\nev,U=np.linalg.eigh(cov)\nwh=U@np.diag(1/np.sqrt(ev+1e-6))@U.T\nZ=Z@wh\nZ/=np.linalg.norm(Z,axis=1,keepdims=True)\nprint(\"Clustering ONLY first-MLP weight projections onto current/previous value subspaces\")\nfor nc in [16,20,24,28]:\n    km=KMeans(n_clusters=nc,n_init=20,random_state=7).fit(Z)\n    centers=km.cluster_centers_\n    print(\"clusters\",nc,\"mean within-cluster cosine\",round(np.mean(np.linalg.norm(centers,axis=1)),3),\n          \"counts\",np.sort(np.bincount(km.labels_,minlength=nc))[::-1])\n    if nc==24:\n        tab=np.zeros((nc,nc),int)\n        for a,b in zip(km.labels_[:1536],km.labels_[1536:]):\n            tab[a,b]+=1\n        expected=tab.sum(1)[:,None]*tab.sum(0)[None,:]/tab.sum()\n        R=(tab-expected)/np.sqrt(expected+1)\n        print(\"pair-table standardized residual singular values\",np.round(np.linalg.svd(R,compute_uv=False)[:12],2))\n        ij=np.dstack(np.unravel_index(np.argsort(R.ravel())[-20:][::-1],R.shape))[0]\n        print(\"largest pair enrichments (arbitrary cluster labels):\",\n              [(int(a),int(b),int(tab[a,b]),round(float(expected[a,b]),1),round(float(R[a,b]),2)) for a,b in ij])\n\nprint(\"\\nLast-MLP output spectrum: adjacent ratios\")\nsv=np.linalg.svd(W[\"W_proj.3\"].astype(float),compute_uv=False)\nprint([(i+1,round(sv[i],3),round(sv[i]/sv[i+1],3)) for i in range(18,32)])\nprint(\"top24 energy\",np.sum(sv[:24]**2)/np.sum(sv**2),\"top28 energy\",np.sum(sv[:28]**2)/np.sum(sv**2))\n```\n"}}
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