Mathematics and optimization

447 terms

# A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

  • Discrete Fourier transform - The discrete Fourier transform, or DFT, converts a finite sequence of samples into coefficients describing discrete frequency components.
  • Discrete optimization - Discrete optimization chooses the best feasible solution when some or all decisions must come from discrete sets, such as whole numbers, yes/no selections...
  • Discrete phase-type distribution - A discrete phase-type distribution describes the number of steps until a finite-state, discrete-time Markov chain reaches an absorbing state.
  • Discrete wavelet transform - A discrete wavelet transform, or DWT, represents sampled data through coefficients associated with localized patterns at different scales.
  • Dispersive flies optimization - Dispersive flies optimization is a population-based stochastic search algorithm inspired by the gathering and dispersal of flies.
  • Distance - Distance is a numerical measure of separation between two objects.
  • Distributed algorithm - A distributed algorithm is a procedure carried out by multiple computing participants that perform local work and coordinate through communication.
  • Distributed constraint optimization - Distributed constraint optimization coordinates decisions controlled by different agents so that their combined assignment optimizes a shared objective...
  • Distributed source coding - Distributed source coding compresses statistically related sources using separate encoders and reconstructs them at a decoder that can use their relationship.
  • Divide-and-conquer algorithm - A divide-and-conquer algorithm solves a problem by splitting it into smaller instances, solving those instances, and combining their answers.
  • Dormand - Prince method - The Dormand - Prince method is an explicit Runge - Kutta method for numerically solving ordinary differential equations with initial values.
  • Dual norm - The dual norm associated with a norm measures the largest inner product a vector can achieve against any vector in that norm's unit ball.
  • Dual problem - A dual problem is an optimization problem constructed from another problem, called the primal, to obtain bounds on its best objective value.
  • Dual total correlation - Dual total correlation (DTC) is an information-theoretic measure of dependence among several random variables.
  • Duality gap - The duality gap is the difference between the optimal values of a primal optimization problem and its associated dual.
  • Dykstra's projection algorithm - Dykstra's projection algorithm finds the point nearest to a given starting point within an intersection of closed convex sets.
  • Dynamical system - A dynamical system describes how a state changes over time according to a rule.
  • Early exit - Early exit is a deep-learning inference strategy that produces a prediction before an input has passed through every layer of a network.
  • Earth mover's distance - Earth mover's distance, or EMD, measures how much work is needed to transform one distribution of mass into another when moving mass has a specified cost.
  • Edge device - An edge device is a computing device operating at or near the part of a network where data is produced or first processed.
  • Edge weight - An edge weight is a numerical value associated with a connection between two nodes in a graph.
  • Edit distance - Edit distance measures the minimum cost of changing one sequence into another using a specified set of edit operations.
  • Effective dimension - Effective dimension is a measure of how many independent directions or degrees of freedom substantially contribute to a model or learning problem.
  • Eigenvalue - An eigenvalue is a number that describes how a square matrix scales a corresponding nonzero eigenvector.
  • Eigenvector - An eigenvector is a nonzero vector that a square matrix transforms into a scalar multiple of itself.
  • Elementary matrix - An elementary matrix is a square matrix obtained by applying one elementary row operation to an identity matrix.
  • Empirical gradient - In the local-search terminology used by Artificial Intelligence: A Modern Approach, an empirical gradient is an estimate of how an objective changes...
  • Energy distance - Energy distance is a measure of difference between probability distributions built from expected distances between independent observations.
  • Entropic vector - An entropic vector records the joint entropies of all nonempty subsets of a collection of discrete random variables with finite entropies.
  • Entropy estimation - Entropy estimation is the statistical task of estimating a probability distribution's entropy from observed data.
  • Entropy power inequality - The entropy power inequality is an information-theoretic result bounding the entropy power of a sum of independent continuous random variables or vectors.
  • Entropy rate - Entropy rate is the limiting average uncertainty per observation in a stochastic process.
  • Euclidean distance - Euclidean distance is the straight-line distance between two points in a Euclidean space.
  • Euclidean norm - The Euclidean norm is the usual length of a real vector, calculated as the square root of the sum of its squared coordinates.
  • Euclidean space - A Euclidean space is a space of points or vectors equipped with the familiar geometry of lengths, angles and perpendicularity.
  • Event - In probability, an event is a collection of possible outcomes to which the probability model assigns a probability.
  • Event calculus - The event calculus is a family of logic-based formalisms for representing events, their effects and what holds at different times.
  • Exact algorithm - An exact algorithm is an algorithm that solves the specified problem correctly rather than returning an approximation.
  • Excursion probability - An excursion probability is the probability that a random process exceeds a specified level somewhere within a defined observation domain.
  • Exploding gradient problem - The exploding gradient problem occurs when gradients become excessively large during model training, making parameter updates unstable or numerically...
  • Explore-then-commit algorithm - The explore-then-commit algorithm is a strategy for a stochastic multi-armed bandit problem that separates learning from exploitation.
  • Exponential family - An exponential family is a class of probability distributions whose probability mass or density can be written in a shared mathematical form: p(x; η) = h(x)...
  • FAIR principles - FAIR principles are guidelines for making digital resources Findable, Accessible, Interoperable and Reusable.
  • False precision - False precision occurs when a numerical statement appears more finely determined than the supporting evidence justifies.
  • Fast multipole method - The fast multipole method, or FMM, is a family of algorithms for rapidly evaluating large sums of interactions between sources and targets.
  • Federated gradient descent
  • Federated learning network - A federated learning network is a representation of the participants and collaboration relationships in a federated learning application.
  • Federated learning system - A federated learning system is the complete arrangement of participants, local data, computing resources, communication and software used to train models...

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