Datasets:
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Tags:
mathematics
information-theory
renyi-entropy
shannon-entropy
hidden-markov-models
bernoulli-convolutions
| { | |
| "name": "phi_fair_q2", | |
| "certificate": { | |
| "order": 2, | |
| "depth": 128, | |
| "interval_nats_per_branch": [ | |
| "258123688130423/562949953421312", | |
| "270835677556033/562949953421312" | |
| ], | |
| "width": "6355994712805/281474976710656", | |
| "spectral_proxy_interval": [ | |
| "4231807461813/8796093022208", | |
| "270835677556033/562949953421312" | |
| ], | |
| "split_bound": 18, | |
| "boundary_fibre_log_error": "12711989425609/562949953421312", | |
| "moment_matrix": [ | |
| [ | |
| "11860760135078791270761230734708730107/6582018229284824168619876730229402019930943462534319453394436096" | |
| ] | |
| ], | |
| "spectral_radius": { | |
| "lower": "11860760135078791270761230734708730107/6582018229284824168619876730229402019930943462534319453394436096", | |
| "upper": "11860760135078791270761230734708730107/6582018229284824168619876730229402019930943462534319453394436096", | |
| "iterations": 0, | |
| "method": "exact rational positive-resolvent bisection" | |
| }, | |
| "diagnostics": { | |
| "depth": 128, | |
| "order": 2, | |
| "engine": "unit-clock integer replica", | |
| "max_layer_states": 7, | |
| "visited_layer_states": 892, | |
| "exact": true, | |
| "truncated": false, | |
| "cone": { | |
| "bits": 57, | |
| "inverse_norm_upper": "161125678563890425/161125678563890424", | |
| "embedding_entry_width": "1/144115188075855872", | |
| "absorption_coefficient": "161125678563890425/11610328735042483657607663912484864", | |
| "excess_width_upper_beyond_rounded_cone": "60792470497801589598634485257919025/836612354636580665353180334941075251239451522760704", | |
| "radius_rounding_extra_upper": "1/1125899906842624", | |
| "neutral_embeddings": 0, | |
| "retains_every_exact_return": true | |
| } | |
| }, | |
| "probabilistic": false, | |
| "source_stationary": true | |
| }, | |
| "elapsed_seconds_observed": 0.00847616700002618 | |
| } | |