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Probabilistic classification

Index Probabilistic classification

In machine learning, a probabilistic classifier is a classifier that is able to predict, given an observation of an input, a probability distribution over a set of classes, rather than only outputting the most likely class that the observation should belong to. [1]

Table of Contents

  1. 39 relations: Annals of Statistics, Bayes estimator, Bayes' theorem, Bias of an estimator, Bias–variance tradeoff, Binary classification, Binary regression, Boosting (machine learning), Brier score, C4.5 algorithm, Calibration (statistics), CiteSeerX, Conditional probability, Cross-entropy, Data mining, Decision tree learning, Discrete choice, Document classification, Econometrics, Empirical risk minimization, Ensemble learning, Function (mathematics), Generative model, Isotonic regression, Logistic regression, Loss function, Machine learning, Multiclass classification, Multilayer perceptron, Naive Bayes classifier, Philip Dawid, Platt scaling, Prior probability, Probability distribution, Scoring rule, Set (mathematics), Statistical classification, Statistics, Support vector machine.

  2. Probabilistic models

Annals of Statistics

The Annals of Statistics is a peer-reviewed statistics journal published by the Institute of Mathematical Statistics.

See Probabilistic classification and Annals of Statistics

Bayes estimator

In estimation theory and decision theory, a Bayes estimator or a Bayes action is an estimator or decision rule that minimizes the posterior expected value of a loss function (i.e., the posterior expected loss).

See Probabilistic classification and Bayes estimator

Bayes' theorem

Bayes' theorem (alternatively Bayes' law or Bayes' rule, after Thomas Bayes) gives a mathematical rule for inverting conditional probabilities, allowing us to find the probability of a cause given its effect.

See Probabilistic classification and Bayes' theorem

Bias of an estimator

In statistics, the bias of an estimator (or bias function) is the difference between this estimator's expected value and the true value of the parameter being estimated.

See Probabilistic classification and Bias of an estimator

Bias–variance tradeoff

In statistics and machine learning, the bias–variance tradeoff describes the relationship between a model's complexity, the accuracy of its predictions, and how well it can make predictions on previously unseen data that were not used to train the model. Probabilistic classification and bias–variance tradeoff are statistical classification.

See Probabilistic classification and Bias–variance tradeoff

Binary classification

Binary classification is the task of classifying the elements of a set into one of two groups (each called class). Probabilistic classification and Binary classification are statistical classification.

See Probabilistic classification and Binary classification

Binary regression

In statistics, specifically regression analysis, a binary regression estimates a relationship between one or more explanatory variables and a single output binary variable.

See Probabilistic classification and Binary regression

Boosting (machine learning)

In machine learning, boosting is an ensemble meta-algorithm for primarily reducing bias, variance.

See Probabilistic classification and Boosting (machine learning)

Brier score

The Brier Score is a ''strictly proper score function'' or ''strictly proper scoring rule'' that measures the accuracy of probabilistic predictions.

See Probabilistic classification and Brier score

C4.5 algorithm

C4.5 is an algorithm used to generate a decision tree developed by Ross Quinlan.

See Probabilistic classification and C4.5 algorithm

Calibration (statistics)

There are two main uses of the term calibration in statistics that denote special types of statistical inference problems. Probabilistic classification and calibration (statistics) are statistical classification.

See Probabilistic classification and Calibration (statistics)

CiteSeerX

X or CiteSeerX but DISPLAYTITLE only allows changing an initial letter to lower case --> CiteSeerX (formerly called CiteSeer) is a public search engine and digital library for scientific and academic papers, primarily in the fields of computer and information science.

See Probabilistic classification and CiteSeerX

Conditional probability

In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, presumption, assertion or evidence) is already known to have occurred.

See Probabilistic classification and Conditional probability

Cross-entropy

In information theory, the cross-entropy between two probability distributions p and q, over the same underlying set of events, measures the average number of bits needed to identify an event drawn from the set when the coding scheme used for the set is optimized for an estimated probability distribution q, rather than the true distribution p.

See Probabilistic classification and Cross-entropy

Data mining

Data mining is the process of extracting and discovering patterns in large data sets involving methods at the intersection of machine learning, statistics, and database systems.

See Probabilistic classification and Data mining

Decision tree learning

Decision tree learning is a supervised learning approach used in statistics, data mining and machine learning.

See Probabilistic classification and Decision tree learning

Discrete choice

In economics, discrete choice models, or qualitative choice models, describe, explain, and predict choices between two or more discrete alternatives, such as entering or not entering the labor market, or choosing between modes of transport.

See Probabilistic classification and Discrete choice

Document classification

Document classification or document categorization is a problem in library science, information science and computer science.

See Probabilistic classification and Document classification

Econometrics

Econometrics is an application of statistical methods to economic data in order to give empirical content to economic relationships.

See Probabilistic classification and Econometrics

Empirical risk minimization

Empirical risk minimization is a principle in statistical learning theory which defines a family of learning algorithms based on evaluating performance over a known and fixed dataset.

See Probabilistic classification and Empirical risk minimization

Ensemble learning

In statistics and machine learning, ensemble methods use multiple learning algorithms to obtain better predictive performance than could be obtained from any of the constituent learning algorithms alone.

See Probabilistic classification and Ensemble learning

Function (mathematics)

In mathematics, a function from a set to a set assigns to each element of exactly one element of.

See Probabilistic classification and Function (mathematics)

Generative model

In statistical classification, two main approaches are called the generative approach and the discriminative approach. Probabilistic classification and generative model are probabilistic models.

See Probabilistic classification and Generative model

Isotonic regression

In statistics and numerical analysis, isotonic regression or monotonic regression is the technique of fitting a free-form line to a sequence of observations such that the fitted line is non-decreasing (or non-increasing) everywhere, and lies as close to the observations as possible.

See Probabilistic classification and Isotonic regression

Logistic regression

In statistics, the logistic model (or logit model) is a statistical model that models the log-odds of an event as a linear combination of one or more independent variables. Probabilistic classification and logistic regression are statistical classification.

See Probabilistic classification and Logistic regression

Loss function

In mathematical optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one or more variables onto a real number intuitively representing some "cost" associated with the event.

See Probabilistic classification and Loss function

Machine learning

Machine learning (ML) is a field of study in artificial intelligence concerned with the development and study of statistical algorithms that can learn from data and generalize to unseen data and thus perform tasks without explicit instructions.

See Probabilistic classification and Machine learning

Multiclass classification

In machine learning and statistical classification, multiclass classification or multinomial classification is the problem of classifying instances into one of three or more classes (classifying instances into one of two classes is called binary classification). Probabilistic classification and multiclass classification are statistical classification.

See Probabilistic classification and Multiclass classification

Multilayer perceptron

A multilayer perceptron (MLP) is a name for a modern feedforward artificial neural network, consisting of fully connected neurons with a nonlinear activation function, organized in at least three layers, notable for being able to distinguish data that is not linearly separable.

See Probabilistic classification and Multilayer perceptron

Naive Bayes classifier

In statistics, naive Bayes classifiers are a family of linear "probabilistic classifiers" which assumes that the features are conditionally independent, given the target class. Probabilistic classification and naive Bayes classifier are statistical classification.

See Probabilistic classification and Naive Bayes classifier

Philip Dawid

Alexander Philip Dawid One or more of the preceding sentences incorporates text from the royalsociety.org website where: (pronounced 'David'; born 1 February 1946) is Emeritus Professor of Statistics of the University of Cambridge, and a Fellow of Darwin College, Cambridge.

See Probabilistic classification and Philip Dawid

Platt scaling

In machine learning, Platt scaling or Platt calibration is a way of transforming the outputs of a classification model into a probability distribution over classes. Probabilistic classification and Platt scaling are probabilistic models and statistical classification.

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Prior probability

A prior probability distribution of an uncertain quantity, often simply called the prior, is its assumed probability distribution before some evidence is taken into account.

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Probability distribution

In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of possible outcomes for an experiment.

See Probabilistic classification and Probability distribution

Scoring rule

In decision theory, a scoring rule provides evaluation metrics for probabilistic predictions or forecasts.

See Probabilistic classification and Scoring rule

Set (mathematics)

In mathematics, a set is a collection of different things; these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

See Probabilistic classification and Set (mathematics)

Statistical classification

When classification is performed by a computer, statistical methods are normally used to develop the algorithm.

See Probabilistic classification and Statistical classification

Statistics

Statistics (from German: Statistik, "description of a state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

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Support vector machine

In machine learning, support vector machines (SVMs, also support vector networks) are supervised max-margin models with associated learning algorithms that analyze data for classification and regression analysis. Probabilistic classification and support vector machine are statistical classification.

See Probabilistic classification and Support vector machine

See also

Probabilistic models

References

[1] https://en.wikipedia.org/wiki/Probabilistic_classification

Also known as Calibration plot, Class membership probabilities, Class-membership probabilities, Group membership probabilities, Group-membership probabilities, Probabilistic classifier.