Glossary

AI glossary for content assistants

Plain-English definitions of 13,917 AI terms for branded assistant teams.

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Glossary

13,917 terms. Open one for definitions and related concepts.

Eigendecomposition

Eigendecomposition factorizes a square matrix into its eigenvalues and eigenvectors, revealing its fundamental geometric properties.

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LU Decomposition

LU decomposition factors a matrix into lower and upper triangular matrices, enabling efficient solution of linear systems.

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Cholesky Decomposition

Cholesky decomposition factors a symmetric positive definite matrix into the product of a lower triangular matrix and its transpose.

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Orthogonal Matrix

An orthogonal matrix has orthonormal columns, meaning its inverse equals its transpose, and it preserves lengths and angles.

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Positive Definite Matrix

A positive definite matrix has all positive eigenvalues, ensuring that the quadratic form it defines always yields positive values.

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Sparse Matrix

A sparse matrix is a matrix where most elements are zero, allowing specialized storage formats and algorithms that dramatically reduce memory and computation.

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Identity Matrix

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere, serving as the multiplicative identity for matrix operations.

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Diagonal Matrix

A diagonal matrix has non-zero elements only on its main diagonal, making multiplication and inversion trivially efficient.

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Frobenius Norm

The Frobenius norm is the square root of the sum of squared elements of a matrix, analogous to the L2 norm for vectors.

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Spectral Norm

The spectral norm of a matrix is its largest singular value, measuring the maximum amount by which the matrix can stretch a vector.

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Condition Number

The condition number measures how sensitive a matrix computation is to input perturbations, indicating numerical stability.

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Probability Density Function

A probability density function (PDF) describes the relative likelihood of a continuous random variable taking a given value.

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Cumulative Distribution Function

A cumulative distribution function (CDF) gives the probability that a random variable takes a value less than or equal to a given point.

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Joint Probability

Joint probability measures the likelihood of two or more events occurring simultaneously.

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Marginal Probability

Marginal probability is the probability of an event irrespective of the outcomes of other variables, obtained by summing or integrating out other variables.

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Maximum A Posteriori

Maximum a posteriori (MAP) estimation finds the most probable parameter values given observed data and a prior distribution.

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Variance (Mathematics)

Variance measures the expected squared deviation of a random variable from its mean, quantifying the spread of a probability distribution.

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Covariance (Mathematics)

Covariance measures the joint variability of two random variables, indicating whether they tend to increase or decrease together.

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Correlation (Mathematics)

Correlation is a normalized measure of the linear relationship between two variables, ranging from -1 to 1.

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Independence (Probability)

Two events or random variables are independent if the occurrence of one does not affect the probability of the other.

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Law of Large Numbers

The law of large numbers states that the sample average converges to the expected value as the sample size grows.

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Central Limit Theorem

The central limit theorem states that the sum of many independent random variables is approximately normally distributed, regardless of the original distribution.

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Markov Chain

A Markov chain is a sequence of random states where each state depends only on the immediately preceding state, not on earlier history.

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Markov Property

The Markov property states that the future state of a process depends only on the present state, not on the sequence of events that preceded it.

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Binomial Distribution

The binomial distribution models the number of successes in a fixed number of independent yes/no trials with constant success probability.

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Exponential Distribution

The exponential distribution models the time between events in a Poisson process, characterized by a constant event rate.

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Gamma Distribution

The gamma distribution generalizes the exponential distribution to model the time until k events occur, with applications in Bayesian priors.

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Beta Distribution

The beta distribution is defined on [0, 1] and is commonly used as a prior distribution for probabilities in Bayesian inference.

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Dirichlet Distribution

The Dirichlet distribution is a multivariate distribution over probability vectors, widely used as a prior for categorical distributions in Bayesian models.

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Chi-Squared Distribution

The chi-squared distribution is the distribution of the sum of squared standard normal variables, used extensively in statistical testing.

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Student's t-Distribution

Student's t-distribution arises when estimating the mean of a normally distributed population with unknown variance, having heavier tails than the normal distribution.

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Gaussian Mixture Distribution

A Gaussian mixture distribution is a weighted combination of multiple Gaussian components, capable of modeling complex multi-modal data distributions.

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Optimization Theory

Optimization theory studies methods for finding the best solution from a set of feasible alternatives, forming the mathematical foundation of machine learning training.

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Convex Function

A convex function curves upward such that the line segment between any two points on its graph lies above the graph, ensuring any local minimum is global.

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KKT Conditions

The Karush-Kuhn-Tucker conditions are necessary conditions for optimality in constrained optimization, generalizing Lagrange multipliers to inequality constraints.

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Linear Programming

Linear programming optimizes a linear objective function subject to linear equality and inequality constraints.

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Quadratic Programming

Quadratic programming optimizes a quadratic objective function subject to linear constraints, directly underlying support vector machines.

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Dynamic Programming

Dynamic programming solves complex problems by breaking them into overlapping subproblems and storing their solutions, avoiding redundant computation.

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Information Theory

Information theory quantifies information, uncertainty, and communication efficiency, providing foundational concepts for machine learning loss functions and model evaluation.

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Entropy (Mathematics)

Entropy measures the average uncertainty or information content of a random variable, quantifying how unpredictable a distribution is.

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Shannon Entropy

Shannon entropy is the foundational information-theoretic measure of average uncertainty in a random variable, named after Claude Shannon.

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Cross-Entropy (Mathematics)

Cross-entropy measures the average number of bits needed to encode data from distribution p using a code optimized for distribution q.

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Jensen-Shannon Divergence

Jensen-Shannon divergence is a symmetric, bounded measure of similarity between two probability distributions, derived from KL divergence.

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Perplexity (Mathematics)

Perplexity is the exponentiation of cross-entropy, representing the effective number of equally likely choices a model considers at each prediction step.

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Self-Information

Self-information (or surprisal) measures the information content of a single event, defined as the negative logarithm of its probability.

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Coding Theory

Coding theory studies efficient and reliable encoding of information, providing the theoretical foundation for data compression and error correction in ML systems.

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Vector Space

A vector space is a mathematical structure where vectors can be added and scaled, providing the algebraic framework for machine learning representations.

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Linear Transformation

A linear transformation is a function between vector spaces that preserves addition and scalar multiplication, represented by matrix multiplication.

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Zendesk, HubSpot, Shopify, WooCommerce, calendar booking, web search, Perplexity, and webhooks for your own systems.

Can I control which tools the assistant is allowed to use?

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Can the agent hand off to a human?

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Do you provide analytics?

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Is it mobile friendly?

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What's the fastest path to a successful deployment?

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What is the fastest way to get started?

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Knowledge
Website pages
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Documents
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Videos
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FAQs & policies
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Website pages
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Documents
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Videos
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FAQs & policies
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Website pages
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Documents
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Videos
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FAQs & policies
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Website pages
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Documents
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Videos
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FAQs & policies
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Website pages
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Documents
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Videos
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FAQs & policies
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Website pages
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Documents
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Videos
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FAQs & policies
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Brand
Logo and colors
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Assistant tone
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Custom domain
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Suggested prompts
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Logo and colors
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Assistant tone
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Custom domain
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Suggested prompts
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Logo and colors
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Assistant tone
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Custom domain
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Suggested prompts
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Logo and colors
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Assistant tone
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Custom domain
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Suggested prompts
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Logo and colors
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Assistant tone
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Custom domain
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Suggested prompts
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Logo and colors
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Assistant tone
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Custom domain
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Suggested prompts
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Launch
Website widget
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Full-page assistant
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Lead capture
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Support handoff
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Website widget
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Full-page assistant
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Lead capture
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Support handoff
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Website widget
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Full-page assistant
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Lead capture
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Support handoff
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Website widget
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Full-page assistant
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Lead capture
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Support handoff
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Website widget
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Full-page assistant
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Lead capture
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Support handoff
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Website widget
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Full-page assistant
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Lead capture
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Support handoff
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Learn
Top questions
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Content gaps
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Source usage
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Lead signals
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Top questions
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Content gaps
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Source usage
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Lead signals
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Top questions
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Content gaps
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Source usage
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Lead signals
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Top questions
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Content gaps
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Source usage
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Lead signals
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Top questions
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Content gaps
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Source usage
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Lead signals
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Top questions
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Source usage
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Lead signals
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