ClassPriors

ClassPriors

is an option for Classify and related functions that specifies explicit prior probabilities to assume for output classes, independent of anything deduced from the training set.

Details

  • ClassPriors<|class1p1,class2p2,…|> specifies that the prior probability to classify a particular input as being in class classi should be pi.
  • By default, the class priors are computed from the class frequencies of the training set.
  • In ClassPriors<|class1p1,class2p2,…|>, unspecified class priors will be set to their rescaled default value to ensure normalization of the distribution.

Examples

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Basic Examples  (1)

Train a classifier on an unbalanced training set:

Obtain class probabilities for a new example:

Set a uniform prior distribution for the classes:

Set the prior distribution of classes inside the classifier:

Priors of unspecified classes are functions of the remaining probability mass:

Applications  (3)

Restrict the built-in language classifier to only two languages:

Train a classifier to recognize if an organism is diseased on a balanced training set:

Find the probability that a new organism is diseased:

Find the probability that the same organism is diseased, incorporating prior knowledge that diseased organisms represent only 1% of the population:

Train a classifier able to predict if a website user will buy a given item based on his behavior:

Define and visualize a model for the probability of buying the item as a function of the outside temperature:

Use this model and WeatherData to increase the prediction performance for a Parisian user, without additional training:

Wolfram Research (2014), ClassPriors, Wolfram Language function, https://reference.wolfram.com/language/ref/ClassPriors.html.

Text

Wolfram Research (2014), ClassPriors, Wolfram Language function, https://reference.wolfram.com/language/ref/ClassPriors.html.

CMS

Wolfram Language. 2014. "ClassPriors." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ClassPriors.html.

APA

Wolfram Language. (2014). ClassPriors. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ClassPriors.html

BibTeX

@misc{reference.wolfram_2022_classpriors, author="Wolfram Research", title="{ClassPriors}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/ClassPriors.html}", note=[Accessed: 08-June-2023 ]}

BibLaTeX

@online{reference.wolfram_2022_classpriors, organization={Wolfram Research}, title={ClassPriors}, year={2014}, url={https://reference.wolfram.com/language/ref/ClassPriors.html}, note=[Accessed: 08-June-2023 ]}