`bayesianFilteringCert_holds`

proved

show as: view math explainer →

module: IndisputableMonolith.Statistics.BayesianFilteringFromVFE
domain: Statistics
line: 66 · github
papers citing: none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Statistics.BayesianFilteringFromVFE on GitHub at line 66.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

formal source

  63    (bayesStep prior L o).prob i =
  64      prior.prob i * L.like o i / evidence prior L o
  65
  66theorem bayesianFilteringCert_holds : BayesianFilteringCert (ι := ι) (Obs := Obs) :=
  67{ evidence_positive := evidence_pos
  68  bayes_step_update := fun prior L o i => bayesStep_is_update prior L o i }
  69
  70end
  71
  72end IndisputableMonolith.Statistics.BayesianFilteringFromVFE

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.