42 lines
1.2 KiB
JSON
42 lines
1.2 KiB
JSON
{
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"passed": true,
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"ambient_dimension": 128,
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"sparse_dimensions": 16,
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"sample_count_per_distribution": 20000,
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"seed": 20261111,
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"outer_radius": 1,
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"controls": {
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"uniform_d_ball": {
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"active_dimensions": 128,
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"max_norm": 0.9999994375833048,
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"mean_squared_norm": 0.9846031601593415,
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"radial_dimension": 128
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},
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"uniform_k_ball": {
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"active_dimensions": 16,
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"max_norm": 0.999996278718437,
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"mean_squared_norm": 0.8894302831319619,
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"radial_dimension": 16
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},
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"sparse_same_radial": {
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"active_dimensions": 16,
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"max_norm": 0.9999995857902936,
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"mean_squared_norm": 0.9847321079586993,
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"radial_dimension": 128
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},
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"sparse_sphere": {
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"active_dimensions": 16,
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"max_norm": 1.0000000000000002,
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"mean_squared_norm": 1.0,
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"radial_dimension": null
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}
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},
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"elapsed_seconds": 3.858549994882196,
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"limitations": [
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"synthetic distributions, not trained-network parameters",
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"same outer radius, not same mean squared norm",
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"changing angular support alone leaves the chosen radial law unchanged",
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"fixed-radius shell is a deliberately structured counterexample"
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]
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}
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