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  "target_radius_comparison": [
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      "idea_radius": 0.08148459724314587,
      "quadratic_alpha": 0.0144,
      "quadratic_radius": 0.16492582582103307,
      "idea_error": 0.038515402756854125,
      "quadratic_error": 0.04492582582103308
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    {
      "m": 4,
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      "idea_radius": 0.028659743799528303,
      "quadratic_alpha": 0.0144,
      "quadratic_radius": 0.2386266738201455,
      "idea_error": 0.09134025620047169,
      "quadratic_error": 0.1186266738201455
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    {
      "m": 5,
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      "idea_radius": 0.0027375312841225407,
      "quadratic_alpha": 0.0144,
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      "quadratic_error": 0.16766978156306578
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  ],
  "notes": "RMS stationary radius and integrated autocorrelation time from 1D constant-step SGD."
}