{
  "schemaVersion": 1,
  "lessonId": "posttraining-03",
  "contentHash": "1f49dabb4b7fd72624bfb2aaf2c1b85347f1283ee4498dbb44b6602a861bbbd7",
  "executedAt": "2026-10-20T10:52:15.398245+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Synthetic preference NLL initial/final: 0.6931471824645996 0.08669456839561462 ; rewards: [ 1.9811294  0.327278  -2.3084073]\nSynthetic preference NLL initial/final: 0.6931471824645996 0.08669456839561462 ; rewards: [ 1.9811294  0.327278  -2.3084073]\nForward/reversed preference NLL: 0.08596369624137878 2.94565486907959\nBalanced conflicting labels prefer a zero margin.\nTied baseline and preference directions verified.\nRanking unchanged; confidence and downstream reward scale change.\nIndependent reward gradients agree in both label directions.\nPASS: posttraining-03\n",
  "notebookCells": [
    {
      "sourceHash": "2351f5467471d651c05c0c9160643ce54a7a1e5af6b4fee233cccbfe293ceb5a",
      "outputs": []
    },
    {
      "sourceHash": "75d0ac3cb31e9218ee06ffe12ab079d6d20511acdb2b79ab4236610543a7a574",
      "outputs": []
    },
    {
      "sourceHash": "eafdbcd924710069ac98fe887ff0ad89841cb60a7905f623016d0e890c421030",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Synthetic preference NLL initial/final: 0.6931471824645996 0.08669456839561462 ; rewards: [ 1.9811294  0.327278  -2.3084073]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "be4e52f3705d6af2179e9cf0f88d89ae4e5f09813bb8f027aa9d0a0c7075505d",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Synthetic preference NLL initial/final: 0.6931471824645996 0.08669456839561462 ; rewards: [ 1.9811294  0.327278  -2.3084073]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "71480dd2836526f5be900d2292aaa99c6c5a000506af3d62dc514251789ef5c1",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "639b58fdff9f71cb152106c78807990975746beb2e09b4e9d794713fafd1088e",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Forward/reversed preference NLL: 0.08596369624137878 2.94565486907959\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "d6890aedae29a57aed0df81c8b9f7564cb47f0d0072cdc53e0ad334b0861f836",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Balanced conflicting labels prefer a zero margin.\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "1c5cb40ab34473ffadda5c456ef861bc621d11462508b72573560c5d35c314c0",
      "outputs": []
    },
    {
      "sourceHash": "0e47f9e4c0542a0c9ddf3d5d8f9d14d1aa6e259e8112a72366de7b822f9a9255",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Tied baseline and preference directions verified.\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "b74d9994dcbe1e325143f6f28f74a549ab1a9b467b3739e15a7e3626f8296438",
      "outputs": []
    },
    {
      "sourceHash": "42f1ef7b3dba64ee4e0976c39e1c2aced9ffc7794d7c8f67669007dae5164e3c",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Ranking unchanged; confidence and downstream reward scale change.\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "60e896eedc9cfcc51205790a1a8a60f52d58081df82788cbe345fefffddb031a",
      "outputs": []
    },
    {
      "sourceHash": "9f9429a40efa4f30d67fc920f02eb25693ac55ff2633a74976cceaf7dee6017f",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Independent reward gradients agree in both label directions.\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
