Datasets:
Modalities:
Text
Formats:
json
Languages:
English
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Tags:
mathematics
information-theory
renyi-entropy
shannon-entropy
hidden-markov-models
bernoulli-convolutions
| { | |
| "name": "mixture_cusp_q2", | |
| "certificate": { | |
| "order": 2, | |
| "depth": 16, | |
| "interval_nats_per_branch": [ | |
| "0", | |
| "0" | |
| ], | |
| "width": "0", | |
| "spectral_proxy_interval": [ | |
| "0", | |
| "0" | |
| ], | |
| "split_bound": 3, | |
| "boundary_fibre_log_error": "15760482964753/140737488355328", | |
| "moment_matrix": [ | |
| [ | |
| "1/65536", | |
| "0" | |
| ], | |
| [ | |
| "0", | |
| "1" | |
| ] | |
| ], | |
| "spectral_radius": { | |
| "lower": "1", | |
| "upper": "1", | |
| "iterations": 0, | |
| "method": "exact rational positive-resolvent bisection" | |
| }, | |
| "diagnostics": { | |
| "depth": 16, | |
| "order": 2, | |
| "engine": "unit-clock integer replica", | |
| "max_layer_states": 3, | |
| "visited_layer_states": 64, | |
| "exact": true, | |
| "truncated": false, | |
| "cone": { | |
| "bits": 54, | |
| "inverse_norm_upper": "1", | |
| "embedding_entry_width": "0", | |
| "absorption_coefficient": "0", | |
| "excess_width_upper_beyond_rounded_cone": "0", | |
| "radius_rounding_extra_upper": "1/1125899906842624", | |
| "neutral_embeddings": 0, | |
| "retains_every_exact_return": true | |
| } | |
| }, | |
| "probabilistic": false, | |
| "source_stationary": true | |
| }, | |
| "elapsed_seconds_observed": 0.001080258000001777 | |
| } | |