{
  "schemaVersion": 1,
  "lessonId": "posttraining-02",
  "contentHash": "5a084f0f528c1207e76c4deeaaa121102dcf48d223e7cb5781e9ce18431f807d",
  "executedAt": "2026-10-20T10:52:13.228766+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "LoRA initial/final: 0.043869297951459885 2.466217665642034e-07 ; trainable: 10 base: 24\nLoRA initial/final: 0.043869297951459885 2.466217665642034e-07 ; trainable: 10 base: 24\nBoth zero factors produce zero first gradients.\nBoth LoRA factor gradients match the matrix-calculus oracle at alpha/r = 1.5.\nAdapter round trip and merge checked.\nNew-input merge passes; accidental double merge changes outputs.\nNonunit scaling passes; best rank-one identity-input MSE is 0.25.\nPASS: posttraining-02\n",
  "notebookCells": [
    {
      "sourceHash": "6074c05d8a34dbd9d0ebb5b4997381a9d0d8c71a733b3826ef801a6316bb40ed",
      "outputs": []
    },
    {
      "sourceHash": "46fe10911d4f979973c44ebb10cf770ac853a32c23586b7f5a6302b6dcefff68",
      "outputs": []
    },
    {
      "sourceHash": "b821fa8beb003ef6b69f8adca3b5e74b5679e1f7997d781e199fd06e19e85d8a",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "LoRA initial/final: 0.043869297951459885 2.466217665642034e-07 ; trainable: 10 base: 24\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "5e37fad3eb5f75e32e8e9328dc89c3dba5d10e9bbb206d50a293fa19a3777536",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "LoRA initial/final: 0.043869297951459885 2.466217665642034e-07 ; trainable: 10 base: 24\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "e7844e1b7eb37115e1e9b347067714555d9f9d780e274a4ce9b91e7d6b4e3353",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "606765a5354400e55d2073fc5ab0f2ed16f4c2034a68b9d45e355412a6ccb923",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Both zero factors produce zero first gradients.\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "cd85a0ab4b3a0e014dbeb557ee36a6e8869e1625d6c35575aed5c8930a3745c9",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Both LoRA factor gradients match the matrix-calculus oracle at alpha/r = 1.5.\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "ce49b30687a19958b3b09dc468264a81bd519af1228ed84773cca2dc8071d4e5",
      "outputs": []
    },
    {
      "sourceHash": "b883653ea9f2c7f78ca4349eb7e32c4c5ca9dc57b6b2dd92defd1446d5bdc3dc",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Adapter round trip and merge checked.\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "7866bd57bc072db3fcb0f0f97dc3259ab8722b48d72fe7115e41e9d6873c63a6",
      "outputs": []
    },
    {
      "sourceHash": "75b6aaa679b6122ace9d68fe58bb377f02d6297a744256787718d79fb79364ce",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "New-input merge passes; accidental double merge changes outputs.\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "9faaf23b8cf725861355a476dc475e773bdd884760fa400a06ed1e7e39cfa503",
      "outputs": []
    },
    {
      "sourceHash": "5308066dde83c083cd21367ef928cdcc9b66930f45a298bf4bde6aee824017ea",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Nonunit scaling passes; best rank-one identity-input MSE is 0.25.\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
