{
  "schemaVersion": 1,
  "lessonId": "optimization-04",
  "contentHash": "fcfca2398f2a506bc0c8c7cd1392b3ce8d316fda0fcf48ab5a0a5af8167f0406",
  "executedAt": "2026-10-20T10:46:01.015273+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Parameters: {'bias': Array(1., dtype=float32), 'weight': Array(1.9999996, dtype=float32)}\nLoss: 5.126058404787345e-14\nParameters: {'bias': Array(1., dtype=float32), 'weight': Array(1.9999996, dtype=float32)}\nLoss: 5.126058404787345e-14\nFirst parameters: {'bias': Array(0.4, dtype=float32), 'weight': Array(0.29333338, dtype=float32)}\nPASS: optimization-04\n",
  "notebookCells": [
    {
      "sourceHash": "20a166a316bf82907093e28f5e1bf031ddbc5bd6f35f8b2f198de5512a26406a",
      "outputs": []
    },
    {
      "sourceHash": "7f6851d4cbb75ef225fea7004cab9925d33314763341e3e9721a1b0f36736f65",
      "outputs": []
    },
    {
      "sourceHash": "438cb10edb446204a2a35fb9bb894ff7ca6f01ce442a25f7e869f127395e969e",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Parameters: {'bias': Array(1., dtype=float32), 'weight': Array(1.9999996, dtype=float32)}\n",
            "Loss: 5.126058404787345e-14\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "ecdac91230e1c1b51f339877947815d11ccecf32f720d1610f71abfabf597316",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Parameters: {'bias': Array(1., dtype=float32), 'weight': Array(1.9999996, dtype=float32)}\n",
            "Loss: 5.126058404787345e-14\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "b7985e47380514e755a01c8d78e0f1e060794c0a0803bf32113c09c7e28acb78",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "62838715d34ebf448b792b157b6fe914b42b8e75ce2e86777526fffc6cb7f491",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "First parameters: {'bias': Array(0.4, dtype=float32), 'weight': Array(0.29333338, dtype=float32)}\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "c033ef28058870dae4e8de63e98e3b58085f34baea74af82ddf76851fa006ba4",
      "outputs": []
    },
    {
      "sourceHash": "ccd53de4c675c3f73f7d2ce5ee4462e1d7ada93a3f05788fc20b2416b507a04a",
      "outputs": []
    },
    {
      "sourceHash": "e571aca45f2c6d0ad8ffd09027f286468bff348d68b72c3fc062c71b9e4401ed",
      "outputs": []
    },
    {
      "sourceHash": "a457dc792f3736e544bf32445a37bab995495dfcc8f7938aac109c6ffed611c6",
      "outputs": []
    },
    {
      "sourceHash": "ed25c339c682dcb88d2884acd139093ca6bbd076e58427cbf2118afd172786e4",
      "outputs": []
    },
    {
      "sourceHash": "39cc84701e7d20273b6153217c2e253ec017f8718efb001f429a700c3456e32c",
      "outputs": []
    },
    {
      "sourceHash": "614988001d3659e915cead835db515604d437a876f1dd14b81b38d6b0bc17802",
      "outputs": []
    },
    {
      "sourceHash": "495106638e41bd61f181928e7d33cf27c99b8d489634f14391df25b835390bb3",
      "outputs": []
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
