structure definition def or abbrev

`ProbDist`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

  48structure ProbDist (n : ℕ) where
  49  /-- Probabilities for each outcome. -/
  50  probs : Fin n → ℝ
  51  /-- All probabilities are non-negative. -/
  52  nonneg : ∀ i, probs i ≥ 0
  53  /-- Probabilities sum to 1. -/
  54  normalized : (Finset.univ.sum probs) = 1
  55
  56/-- The uniform distribution. -/

used by (25)

From the project-wide theorem graph. These declarations reference this one in their body.

deterministic_has_zero_entropy in IndisputableMonolith.Information.InformationIsLedger decl_use
entropy_nonneg in IndisputableMonolith.Information.InformationIsLedger decl_use
shannon_entropy_equals_expected_jcost in IndisputableMonolith.Information.InformationIsLedger decl_use
entropy_is_expected_surprisal in IndisputableMonolith.Information.ShannonEntropy decl_use
entropy_nonneg in IndisputableMonolith.Information.ShannonEntropy decl_use
shannonEntropy in IndisputableMonolith.Information.ShannonEntropy decl_use
shannon_equals_jcost in IndisputableMonolith.Information.ShannonEntropy decl_use
totalJCost in IndisputableMonolith.Information.ShannonEntropy decl_use
uniform in IndisputableMonolith.Information.ShannonEntropy decl_use
zero_entropy_deterministic in IndisputableMonolith.Information.ShannonEntropy decl_use
BayesianFilteringCert in IndisputableMonolith.Statistics.BayesianFilteringFromVFE decl_use
bayesStep in IndisputableMonolith.Statistics.BayesianFilteringFromVFE decl_use
bayesStep_is_update in IndisputableMonolith.Statistics.BayesianFilteringFromVFE decl_use
evidence in IndisputableMonolith.Statistics.BayesianFilteringFromVFE decl_use
evidence_pos in IndisputableMonolith.Statistics.BayesianFilteringFromVFE decl_use
iterFilter in IndisputableMonolith.Statistics.BayesianFilteringFromVFE decl_use
iterFilter_cons in IndisputableMonolith.Statistics.BayesianFilteringFromVFE decl_use
iterFilter_nil in IndisputableMonolith.Statistics.BayesianFilteringFromVFE decl_use
boltzmannDist in IndisputableMonolith.Statistics.VariationalFreeEnergyFromRCL decl_use
boltzmann_minimizes_vfe in IndisputableMonolith.Statistics.VariationalFreeEnergyFromRCL decl_use
kl_nonneg in IndisputableMonolith.Statistics.VariationalFreeEnergyFromRCL decl_use
ProbDist in IndisputableMonolith.Statistics.VariationalFreeEnergyFromRCL decl_use
ProbDist in IndisputableMonolith.Statistics.VariationalFreeEnergyFromRCL decl_use
VFE in IndisputableMonolith.Statistics.VariationalFreeEnergyFromRCL decl_use
VFECert in IndisputableMonolith.Statistics.VariationalFreeEnergyFromRCL decl_use

depends on (4)

Lean names referenced from this declaration's body.

for in IndisputableMonolith.Foundation.UniversalForcingSelfReference decl_use
uniform in IndisputableMonolith.Information.ShannonEntropy decl_use
normalized in IndisputableMonolith.NavierStokes.RunningMaxNormalization decl_use
ProbDist in IndisputableMonolith.Statistics.VariationalFreeEnergyFromRCL decl_use