{
  "schemaVersion": 1,
  "lessonId": "recovery-06",
  "contentHash": "2045fd46cce599b92c2b22fca98a4f64f22b5ca7fa8a52502d6adfac11e0dfdc",
  "executedAt": "2026-10-20T10:47:02.065912+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Validation MSE by learning rate: {0.02: 0.11994461715221405, 0.15: 5.049471951679152e-10}\nVerified 30 logged steps per run; selected and reloaded the better validation candidate.\nValidation difference: 0.11994461664726686\nWrong zero model validation MSE: 6.0\nChanged target changes dataset identity.\nPASS: recovery-06\n",
  "notebookCells": [
    {
      "sourceHash": "f6b66379262f139d1d7eefafa6fe078fe7bf899ed96a33aabcc903ed8596a629",
      "outputs": []
    },
    {
      "sourceHash": "08c17a6f0ccf71815524cff1da739f8017efc48107dac044947e7f836068efc2",
      "outputs": []
    },
    {
      "sourceHash": "09fcb9a8db35f3885a178ba33ca15fb44b27b51bb17e95c25c5a9a98d376d4d8",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "2026/10/20 03:46:59 INFO mlflow.store.db.utils: Creating initial MLflow database tables...\n",
            "2026/10/20 03:46:59 INFO mlflow.store.db.utils: Updating database tables\n",
            "\r",
            "Downloading artifacts:   0%|          | 0/1 [00:00<?, ?it/s]\r",
            "Downloading artifacts: 100%|##########| 1/1 [00:00<00:00, 3545.48it/s]\r",
            "Downloading artifacts: 100%|##########| 1/1 [00:00<00:00, 1506.03it/s]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "4c8f0208e6942dde2f61c5dd64725e232cffccd5d36bcd945312a3512ec66f58",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Validation MSE by learning rate: {0.02: 0.11994461715221405, 0.15: 5.049471951679152e-10}\n",
            "Verified 30 logged steps per run; selected and reloaded the better validation candidate.\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "2026/10/20 03:47:00 INFO mlflow.store.db.utils: Creating initial MLflow database tables...\n",
            "2026/10/20 03:47:00 INFO mlflow.store.db.utils: Updating database tables\n",
            "\r",
            "Downloading artifacts:   0%|          | 0/1 [00:00<?, ?it/s]\r",
            "Downloading artifacts: 100%|##########| 1/1 [00:00<00:00, 2542.00it/s]\r",
            "Downloading artifacts: 100%|##########| 1/1 [00:00<00:00, 1636.48it/s]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "8e111bfbe3de57625acbef7ec10f7cf54236b832fdde7ee060b1776c72801d18",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "f08438cee4e08d6dc2910bdf7d6c735e13d8add6e559254f08256c38d0450d12",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Validation difference: 0.11994461664726686\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "8a57ba90a09257ccd2c1510b2b4f86e5e66545c7033a191c2e86519fe6bb8a6f",
      "outputs": []
    },
    {
      "sourceHash": "17412229c42e4d7f3ee44b9028f41c71b40b3d0226ede120281195b9c19d8229",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Wrong zero model validation MSE: 6.0\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "9fb4d76ca10de99ee4924e29707c206bea7928cd33b6582c4b465fe05b18cd56",
      "outputs": []
    },
    {
      "sourceHash": "0a95030ff379904c45623e243fa2916fe9e93a773b91c4a9d110cad619dd2f91",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Changed target changes dataset identity.\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
