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- Additive_smoothing abstract "In statistics, additive smoothing, also called Laplace smoothing (not to be confused with Laplacian smoothing), or Lidstone smoothing, is a technique used to smooth categorical data. Given an observation x = (x1, …, xd) from a multinomial distribution with N trials and parameter vector θ = (θ1, …, θd), a "smoothed" version of the data gives the estimator:where α > 0 is the smoothing parameter (α = 0 corresponds to no smoothing). Additive smoothing is a type of shrinkage estimator, as the resulting estimate will be between the empirical estimate xi / N, and the uniform probability 1/d. Using Laplace's rule of succession, some authors have argued[citation needed]that α should be 1 (in which case the term add-one smoothing is also used), though in practice a smaller value is typically chosen.From a Bayesian point of view, this corresponds to the expected value of the posterior distribution, using a symmetric Dirichlet distribution with parameter α as a prior.".
- Additive_smoothing wikiPageExternalLink P96-1041.pdf.
- Additive_smoothing wikiPageID "17110513".
- Additive_smoothing wikiPageRevisionID "603184301".
- Additive_smoothing hasPhotoCollection Additive_smoothing.
- Additive_smoothing subject Category:Categorical_data.
- Additive_smoothing subject Category:Statistical_natural_language_processing.
- Additive_smoothing type Abstraction100002137.
- Additive_smoothing type CategoricalData.
- Additive_smoothing type Cognition100023271.
- Additive_smoothing type Datum105816622.
- Additive_smoothing type Information105816287.
- Additive_smoothing type PsychologicalFeature100023100.
- Additive_smoothing comment "In statistics, additive smoothing, also called Laplace smoothing (not to be confused with Laplacian smoothing), or Lidstone smoothing, is a technique used to smooth categorical data. Given an observation x = (x1, …, xd) from a multinomial distribution with N trials and parameter vector θ = (θ1, …, θd), a "smoothed" version of the data gives the estimator:where α > 0 is the smoothing parameter (α = 0 corresponds to no smoothing).".
- Additive_smoothing label "Additive smoothing".
- Additive_smoothing sameAs m.042103t.
- Additive_smoothing sameAs Q4681348.
- Additive_smoothing sameAs Q4681348.
- Additive_smoothing sameAs Additive_smoothing.
- Additive_smoothing wasDerivedFrom Additive_smoothing?oldid=603184301.
- Additive_smoothing isPrimaryTopicOf Additive_smoothing.