Mathematics

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Bayes' theorem

Bayes' theorem (also called Bayes' rule or Bayes' law) is a fundamental theorem of probability theory that describes how to update the probability of a hypothesis given new evidence.

Machine LearningStatistics

Bayesian statistics

Bayesian statistics is a statistical paradigm in which probability expresses a degree of belief that is updated as evidence arrives, using Bayes' theorem.

Statistics

Curse of Dimensionality

The curse of dimensionality is the set of problems that arise when data has a large number of features (dimensions): as dimensions increase, the volume of the space grows exponentially, the available data…

Machine LearningStatistics

Information theory

Information theory is the mathematical study of the quantification, storage, and communication of information, founded by Claude Shannon in his 1948 paper "A Mathematical Theory of Communication." Shannon…

Statistics

Log-Odds

Log-odds, also known as the logit, is a mathematical transformation that converts a probability value between 0 and 1 into a real number spanning from negative infinity to positive infinity.

Machine LearningStatistics

Markov chain

A Markov chain is a stochastic process in which the probability of the next state depends only on the current state and not on the sequence of states that came before it.

Statistics

Normal distribution

The normal distribution, also called the Gaussian distribution, is a continuous probability distribution defined by two parameters, a mean $$\mu$$ and a variance $$\sigma^2$$

Statistics

VC dimension

The Vapnik-Chervonenkis dimension, almost always shortened to VC dimension, measures the capacity of a class of binary classifiers by asking how many points the class can label in every possible way.

Machine LearningStatistics