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{"type":"item.completed","item":{"id":"item_1","type":"agent_message","text":"```python\nimport numpy as np\nfrom scipy.linalg import svd, svdvals, eigvals\nfrom threadpoolctl import threadpool_limits\nnp.set_printoptions(precision=3, suppress=True, linewidth=180)\n\nwith threadpool_limits(limits=4):\n    print(\"L0 GAIN DISTRIBUTIONS\")\n    for name in [\"ln1_w.0\", \"ln2_w.0\"]:\n        a = W[name]\n        print(name, \"quantiles\", np.quantile(a, [0,.1,.25,.5,.75,.9,.95,1]))\n        ids = np.argsort(a)[-45:][::-1]\n        print(\"largest coordinates\", list(zip(ids.tolist(), np.round(a[ids],3).tolist())))\n    print(\"\\nL0 SINGULAR VALUES\")\n    for name in [\"W_q.0\",\"W_k.0\",\"W_v.0\",\"W_o.0\",\"W_fc.0\",\"W_proj.0\"]:\n        s = svdvals(W[name])\n        print(name, \"top 40\", s[:40], \"tail quantiles\", np.quantile(s, [.1,.25,.5,.75]))\n    print(\"\\nGAIN-WEIGHTED HEAD PRODUCTS (weight algebra only)\")\n    for l in range(4):\n        g, b = W[f\"ln1_w.{l}\"], W[f\"ln1_b.{l}\"]\n        for j in range(6):\n            s = slice(64*j,64*(j+1))\n            q, k = W[f\"W_q.{l}\"][s], W[f\"W_k.{l}\"][s]\n            a = (q*g).T @ (k*g) / 8\n            a = a-a.mean(0,keepdims=True)-a.mean(1,keepdims=True)+a.mean()\n            sv = svdvals(a)\n            e = eigvals(a)\n            e = e[np.argsort(np.abs(e))[::-1]]\n            key_bias = (k*g).T @ (q@b)/8\n            query_bias = (q*g).T @ (k@b)/8\n            print(f\"L{l}H{j}\", \"norm\", round(float(np.linalg.norm(a)),3),\n                  \"top sv\", sv[:6], \"rank\", round(float((sv@sv)/sv[0]**2),2),\n                  \"bias key/query norms\", np.round([np.linalg.norm(key_bias),np.linalg.norm(query_bias)],3),\n                  \"eigenvalues\", e[:6])\n    print(\"\\nL0 QK COORDINATE CONCENTRATION\")\n    for j in range(6):\n        s=slice(64*j,64*(j+1))\n        q,k=W[\"W_q.0\"][s],W[\"W_k.0\"][s]\n        energy=(q*q).sum(0)+(k*k).sum(0)\n        ids=np.argsort(energy)[-24:][::-1]\n        print(\"H\",j,\"top coordinates\",ids, \"energy\",energy[ids],\n              \"ln1\",W[\"ln1_w.0\"][ids],\"ln2\",W[\"ln2_w.0\"][ids])\n```\n"}}
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