{
  "article_slug": "state-space-memory-capacity",
  "figures": [
    {
      "id": "memory-snr",
      "title": "Retention competes with accumulated interference",
      "kind": "analytical_curve",
      "x_label": "Later writes k",
      "y_label": "Signal energy / noise variance",
      "x": {
        "name": "Later writes k",
        "values": [
          1,
          2,
          4,
          8,
          16,
          32,
          64
        ]
      },
      "series": [
        {
          "name": "rho=0.5",
          "values": [
            0.25,
            0.05,
            0.0029411764705882353,
            1.1444266422522316e-05,
            1.746229827810598e-10,
            4.0657581468206416e-20,
            2.204051907791789e-39
          ]
        },
        {
          "name": "rho=0.9",
          "values": [
            0.81,
            0.3624861878453038,
            0.1436067796904196,
            0.04321525817457891,
            0.00675597818851739,
            0.00022427793480183617,
            2.6411642666073294e-07
          ]
        },
        {
          "name": "rho=0.99",
          "values": [
            0.9801,
            0.4851249987374375,
            0.23768748674462412,
            0.11406863738129559,
            0.05245846232780779,
            0.02204741286000127,
            0.00759574556771416
          ]
        },
        {
          "name": "rho=1",
          "values": [
            1.0,
            0.5,
            0.25,
            0.125,
            0.0625,
            0.03125,
            0.015625
          ]
        }
      ],
      "caption": "Unit initial signal and independent mean-zero unit-variance distractors. k=0 excluded because noise variance is zero. Not learned recall accuracy."
    },
    {
      "id": "selective-interference",
      "title": "Idealized selection reduces interference",
      "kind": "analytical_curve",
      "x_label": "Distractor admission probability p",
      "y_label": "Expected noise variance",
      "x": {
        "name": "Distractor admission probability p",
        "values": [
          0,
          0.01,
          0.05,
          0.1,
          0.25,
          0.5,
          0.75,
          1
        ]
      },
      "series": [
        {
          "name": "rho=0.95, k=32",
          "values": [
            0.0,
            0.09871547290142398,
            0.49357736450711986,
            0.9871547290142397,
            2.467886822535599,
            4.935773645071198,
            7.403660467606798,
            9.871547290142397
          ]
        }
      ],
      "caption": "Independent Bernoulli gate; original signal always admitted. Selection quality is assumed, not learned; distractors are mean-zero and independent."
    }
  ]
}