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Normalization

Normalization

Jun 11, 20241 min read

Normalization as a distributive law

Normalization is a candidate distributive law between the maybe monad and the distribution monad. It forms an almost distributive law, but it is not a distributive law.

normalization-transformation_page001

See also.

  • renormalize whenever
  • normalization is not a distributive law
  • normalization is a distributive law up to idempotent
  • Norm, the Kleisli unital magmoid of partial stochastic functions
  • subdistributions act on the normalization magmoid
  • normalization is monoidal

Normalization in partial Markov categories

Normalizations exist in any partial Markov category and they follow from conditionals. They are only almost surely unique; and almost surely idempotent. The renormalization formula can be proven in any partial Markov category.

normalization

See also.

  • normalisations are almost surely idempotent
  • normalization is almost a restriction operator, normalization fails r4 in subdistributions.
  • normalization of a composition
  • renormalize whenever

Tags: partial Markov category.


Graph View

  • Normalization as a distributive law
  • Normalization in partial Markov categories

Backlinks

  • Kleisli unital magmoid of normalization
  • closing pipes breaks associativity
  • distributive sesquilaw
  • normalisations are almost surely idempotent
  • normalization fails r4 in subdistributions
  • normalization is a distributive sesquilaw
  • normalization is almost a distributive law
  • normalization is almost a restriction operator
  • normalization is monoidal
  • normalization is not a distributive law
  • normalization magmoid is not associative
  • normalization of a composition
  • Partial Markov category

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