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      ],
      "xlabel": "Noise variance / signal variance",
      "ylabel": "Correlation ceiling",
      "logx": false,
      "logy": false
    }
  ],
  "title": "Background saturation and measurement noise alter effect interpretation",
  "assumptions": "Sigmoid constructed response, +1 input shift. Independent additive noise; ideal predictor equals latent signal. No DNA or genome-model outputs.",
  "worked": "基线z=0时增量0.231059，z=3时约0.029440；噪声方差等于信号方差时理想相关sqrt(1/2)≈0.707107。",
  "checks": {
    "delta_z0": 0.2310585786300049,
    "delta_z3": 0.029439663215475087,
    "ceiling_equal_noise": 0.7071067811865475
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  "source_ids": [
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  "formula_source": "Article equations and this versioned script",
  "diagram_nodes": [
    "序列与轨道字典",
    "长程条件化预测",
    "参考 / 替代 / 组合",
    "基因座与组织留出",
    "外部干预与反证",
    "机制和条件的版本化"
  ]
}
