Faster access than browser!
52 relations: Anomaly detection, Backward induction, Bellman equation, Chi-squared distribution, Cluster analysis, Clustering high-dimensional data, Combinatorial explosion, Combinatorics, Concentration of measure, Data dredging, Data mining, Data set, Database, Dimension, Dimensionality reduction, Directed graph, Dynamic programming, Euclidean distance, Feature (machine learning), Feature selection, Gamma function, Graph (discrete mathematics), Hypercube, Hypersphere, Independent and identically distributed random variables, Information retrieval, K-nearest neighbors algorithm, Linear least squares (mathematics), List of Fourier-related transforms, Machine learning, Mathematical optimization, Model order reduction, Multilinear principal component analysis, Multilinear subspace learning, Nearest neighbor search, Numerical analysis, Principal component analysis, Real number, Richard E. Bellman, Sampling (statistics), Semi-supervised learning, Signal-to-noise ratio, Singular-value decomposition, Skewness, Space, Space (mathematics), Statistical classification, Three-dimensional space, Time series, Unit cube, ..., Unit interval, Volume. Expand index (2 more) »
Anomaly detection
In data mining, anomaly detection (also outlier detection) is the identification of items, events or observations which do not conform to an expected pattern or other items in a dataset.
New!!: Curse of dimensionality and Anomaly detection · See more »
Backward induction
Backward induction is the process of reasoning backwards in time, from the end of a problem or situation, to determine a sequence of optimal actions.
New!!: Curse of dimensionality and Backward induction · See more »
Bellman equation
A Bellman equation, named after Richard E. Bellman, is a necessary condition for optimality associated with the mathematical optimization method known as dynamic programming.
New!!: Curse of dimensionality and Bellman equation · See more »
Chi-squared distribution
No description.
New!!: Curse of dimensionality and Chi-squared distribution · See more »
Cluster analysis
Cluster analysis or clustering is the task of grouping a set of objects in such a way that objects in the same group (called a cluster) are more similar (in some sense) to each other than to those in other groups (clusters).
New!!: Curse of dimensionality and Cluster analysis · See more »
Clustering high-dimensional data
Clustering high-dimensional data is the cluster analysis of data with anywhere from a few dozen to many thousands of dimensions.
New!!: Curse of dimensionality and Clustering high-dimensional data · See more »
Combinatorial explosion
In mathematics, a combinatorial explosion is the rapid growth of the complexity of a problem due to how the combinatorics of the problem is affected by the input, constraints, and bounds of the problem.
New!!: Curse of dimensionality and Combinatorial explosion · See more »
Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.
New!!: Curse of dimensionality and Combinatorics · See more »
Concentration of measure
In mathematics, concentration of measure (about a median) is a principle that is applied in measure theory, probability and combinatorics, and has consequences for other fields such as Banach space theory.
New!!: Curse of dimensionality and Concentration of measure · See more »
Data dredging
Data dredging (also data fishing, data snooping, and '''''p'''''-hacking) is the use of data mining to uncover patterns in data that can be presented as statistically significant, without first devising a specific hypothesis as to the underlying causality.
New!!: Curse of dimensionality and Data dredging · See more »
Data mining
Data mining is the process of discovering patterns in large data sets involving methods at the intersection of machine learning, statistics, and database systems.
New!!: Curse of dimensionality and Data mining · See more »
Data set
A data set (or dataset) is a collection of data.
New!!: Curse of dimensionality and Data set · See more »
Database
A database is an organized collection of data, stored and accessed electronically.
New!!: Curse of dimensionality and Database · See more »
Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
New!!: Curse of dimensionality and Dimension · See more »
Dimensionality reduction
In statistics, machine learning, and information theory, dimensionality reduction or dimension reduction is the process of reducing the number of random variables under consideration by obtaining a set of principal variables.
New!!: Curse of dimensionality and Dimensionality reduction · See more »
Directed graph
In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is a set of vertices connected by edges, where the edges have a direction associated with them.
New!!: Curse of dimensionality and Directed graph · See more »
Dynamic programming
Dynamic programming is both a mathematical optimization method and a computer programming method.
New!!: Curse of dimensionality and Dynamic programming · See more »
Euclidean distance
In mathematics, the Euclidean distance or Euclidean metric is the "ordinary" straight-line distance between two points in Euclidean space.
New!!: Curse of dimensionality and Euclidean distance · See more »
Feature (machine learning)
In machine learning and pattern recognition, a feature is an individual measurable property or characteristic of a phenomenon being observed.
New!!: Curse of dimensionality and Feature (machine learning) · See more »
Feature selection
In machine learning and statistics, feature selection, also known as variable selection, attribute selection or variable subset selection, is the process of selecting a subset of relevant features (variables, predictors) for use in model construction.
New!!: Curse of dimensionality and Feature selection · See more »
Gamma function
In mathematics, the gamma function (represented by, the capital Greek alphabet letter gamma) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.
New!!: Curse of dimensionality and Gamma function · See more »
Graph (discrete mathematics)
In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".
New!!: Curse of dimensionality and Graph (discrete mathematics) · See more »
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
New!!: Curse of dimensionality and Hypercube · See more »
Hypersphere
In geometry of higher dimensions, a hypersphere is the set of points at a constant distance from a given point called its center.
New!!: Curse of dimensionality and Hypersphere · See more »
Independent and identically distributed random variables
In probability theory and statistics, a sequence or other collection of random variables is independent and identically distributed (i.i.d. or iid or IID) if each random variable has the same probability distribution as the others and all are mutually independent.
New!!: Curse of dimensionality and Independent and identically distributed random variables · See more »
Information retrieval
Information retrieval (IR) is the activity of obtaining information system resources relevant to an information need from a collection of information resources.
New!!: Curse of dimensionality and Information retrieval · See more »
K-nearest neighbors algorithm
In pattern recognition, the k-nearest neighbors algorithm (k-NN) is a non-parametric method used for classification and regression.
New!!: Curse of dimensionality and K-nearest neighbors algorithm · See more »
Linear least squares (mathematics)
In statistics and mathematics, linear least squares is an approach to fitting a mathematical or statistical model to data in cases where the idealized value provided by the model for any data point is expressed linearly in terms of the unknown parameters of the model.
New!!: Curse of dimensionality and Linear least squares (mathematics) · See more »
List of Fourier-related transforms
This is a list of linear transformations of functions related to Fourier analysis.
New!!: Curse of dimensionality and List of Fourier-related transforms · See more »
Machine learning
Machine learning is a subset of artificial intelligence in the field of computer science that often uses statistical techniques to give computers the ability to "learn" (i.e., progressively improve performance on a specific task) with data, without being explicitly programmed.
New!!: Curse of dimensionality and Machine learning · See more »
Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization or mathematical programming, alternatively spelled optimisation, is the selection of a best element (with regard to some criterion) from some set of available alternatives.
New!!: Curse of dimensionality and Mathematical optimization · See more »
Model order reduction
Model order reduction (MOR) is a technique for reducing the computational complexity of mathematical models in numerical simulations.
New!!: Curse of dimensionality and Model order reduction · See more »
Multilinear principal component analysis
Multilinear principal component analysis (MPCA) is a multilinear extension of principal component analysis (PCA).
New!!: Curse of dimensionality and Multilinear principal component analysis · See more »
Multilinear subspace learning
Multilinear subspace learning is an approach to dimensionality reduction.
New!!: Curse of dimensionality and Multilinear subspace learning · See more »
Nearest neighbor search
Nearest neighbor search (NNS), as a form of proximity search, is the optimization problem of finding the point in a given set that is closest (or most similar) to a given point.
New!!: Curse of dimensionality and Nearest neighbor search · See more »
Numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).
New!!: Curse of dimensionality and Numerical analysis · See more »
Principal component analysis
Principal component analysis (PCA) is a statistical procedure that uses an orthogonal transformation to convert a set of observations of possibly correlated variables into a set of values of linearly uncorrelated variables called principal components.
New!!: Curse of dimensionality and Principal component analysis · See more »
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
New!!: Curse of dimensionality and Real number · See more »
Richard E. Bellman
Richard Ernest Bellman (August 26, 1920 – March 19, 1984) was an American applied mathematician, who introduced dynamic programming in 1953, and important contributions in other fields of mathematics.
New!!: Curse of dimensionality and Richard E. Bellman · See more »
Sampling (statistics)
In statistics, quality assurance, and survey methodology, sampling is the selection of a subset (a statistical sample) of individuals from within a statistical population to estimate characteristics of the whole population.
New!!: Curse of dimensionality and Sampling (statistics) · See more »
Semi-supervised learning
Semi-supervised learning is a class of supervised learning tasks and techniques that also make use of unlabeled data for training – typically a small amount of labeled data with a large amount of unlabeled data.
New!!: Curse of dimensionality and Semi-supervised learning · See more »
Signal-to-noise ratio
Signal-to-noise ratio (abbreviated SNR or S/N) is a measure used in science and engineering that compares the level of a desired signal to the level of background noise.
New!!: Curse of dimensionality and Signal-to-noise ratio · See more »
Singular-value decomposition
In linear algebra, the singular-value decomposition (SVD) is a factorization of a real or complex matrix.
New!!: Curse of dimensionality and Singular-value decomposition · See more »
Skewness
In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean.
New!!: Curse of dimensionality and Skewness · See more »
Space
Space is the boundless three-dimensional extent in which objects and events have relative position and direction.
New!!: Curse of dimensionality and Space · See more »
Space (mathematics)
In mathematics, a space is a set (sometimes called a universe) with some added structure.
New!!: Curse of dimensionality and Space (mathematics) · See more »
Statistical classification
In machine learning and statistics, classification is the problem of identifying to which of a set of categories (sub-populations) a new observation belongs, on the basis of a training set of data containing observations (or instances) whose category membership is known.
New!!: Curse of dimensionality and Statistical classification · See more »
Three-dimensional space
Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point).
New!!: Curse of dimensionality and Three-dimensional space · See more »
Time series
A time series is a series of data points indexed (or listed or graphed) in time order.
New!!: Curse of dimensionality and Time series · See more »
Unit cube
A unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long.
New!!: Curse of dimensionality and Unit cube · See more »
Unit interval
In mathematics, the unit interval is the closed interval, that is, the set of all real numbers that are greater than or equal to 0 and less than or equal to 1.
New!!: Curse of dimensionality and Unit interval · See more »
Volume
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.
New!!: Curse of dimensionality and Volume · See more »
Redirects here:
Curse of Dimensionality, Curse of dimension, Hughes phenomenon, Peaking phenomena, Problem of dimensionality.
References
[1] https://en.wikipedia.org/wiki/Curse_of_dimensionality
