Global Information Lookup Global Information

Dimensionality reduction information


Dimensionality reduction, or dimension reduction, is the transformation of data from a high-dimensional space into a low-dimensional space so that the low-dimensional representation retains some meaningful properties of the original data, ideally close to its intrinsic dimension. Working in high-dimensional spaces can be undesirable for many reasons; raw data are often sparse as a consequence of the curse of dimensionality, and analyzing the data is usually computationally intractable (hard to control or deal with). Dimensionality reduction is common in fields that deal with large numbers of observations and/or large numbers of variables, such as signal processing, speech recognition, neuroinformatics, and bioinformatics.[1]

Methods are commonly divided into linear and nonlinear approaches.[1] Approaches can also be divided into feature selection and feature extraction.[2] Dimensionality reduction can be used for noise reduction, data visualization, cluster analysis, or as an intermediate step to facilitate other analyses.

  1. ^ a b van der Maaten, Laurens; Postma, Eric; van den Herik, Jaap (October 26, 2009). "Dimensionality Reduction: A Comparative Review" (PDF). J Mach Learn Res. 10: 66–71.
  2. ^ Pudil, P.; Novovičová, J. (1998). "Novel Methods for Feature Subset Selection with Respect to Problem Knowledge". In Liu, Huan; Motoda, Hiroshi (eds.). Feature Extraction, Construction and Selection. p. 101. doi:10.1007/978-1-4615-5725-8_7. ISBN 978-1-4613-7622-4.

and 22 Related for: Dimensionality reduction information

Request time (Page generated in 0.8242 seconds.)

Dimensionality reduction

Last Update:

Dimensionality reduction, or dimension reduction, is the transformation of data from a high-dimensional space into a low-dimensional space so that the...

Word Count : 2349

Nonlinear dimensionality reduction

Last Update:

Nonlinear dimensionality reduction, also known as manifold learning, is any of various related techniques that aim to project high-dimensional data onto...

Word Count : 6124

Data reduction

Last Update:

meaningful. Dimensionality reduction helps reduce noise in the data and allows for easier visualization, such as the example below where 3-dimensional data is...

Word Count : 703

Curse of dimensionality

Last Update:

The curse of dimensionality refers to various phenomena that arise when analyzing and organizing data in high-dimensional spaces that do not occur in low-dimensional...

Word Count : 4122

Machine learning

Last Update:

process of reducing the dimension of the feature set, also called the "number of features". Most of the dimensionality reduction techniques can be considered...

Word Count : 14304

Multifactor dimensionality reduction

Last Update:

Multifactor dimensionality reduction (MDR) is a statistical approach, also used in machine learning automatic approaches, for detecting and characterizing...

Word Count : 4505

Trajectory inference

Last Update:

efficiently process data with such high dimensionality many trajectory inference algorithms employ a dimensionality reduction procedure such as principal component...

Word Count : 1861

Dimensional reduction

Last Update:

Dimensional reduction is the limit of a compactified theory where the size of the compact dimension goes to zero. In physics, a theory in D spacetime...

Word Count : 633

Manifold hypothesis

Last Update:

high-dimensional data sets by considering a few common features. The manifold hypothesis is related to the effectiveness of nonlinear dimensionality reduction...

Word Count : 938

Guyan reduction

Last Update:

In computational mechanics, Guyan reduction, also known as static condensation, is a dimensionality reduction method which reduces the number of degrees...

Word Count : 684

Principal component analysis

Last Update:

Principal component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data...

Word Count : 14214

Word embedding

Last Update:

simplest form results in a very sparse vector space of high dimensionality (cf. curse of dimensionality). Reducing the number of dimensions using linear algebraic...

Word Count : 3161

Reduction

Last Update:

reduced, or reduction in Wiktionary, the free dictionary. Reduction, reduced, or reduce may refer to: Reduction (chemistry), part of a reduction-oxidation...

Word Count : 1078

Random projection

Last Update:

learning. Dimensionality reduction is often used to reduce the problem of managing and manipulating large data sets. Dimensionality reduction techniques...

Word Count : 1507

Supervised learning

Last Update:

of the more general strategy of dimensionality reduction, which seeks to map the input data into a lower-dimensional space prior to running the supervised...

Word Count : 3011

Isomap

Last Update:

Isomap is a nonlinear dimensionality reduction method. It is one of several widely used low-dimensional embedding methods. Isomap is used for computing...

Word Count : 887

ChatGPT

Last Update:

Problems Classification Generative modeling Regression Clustering Dimensionality reduction Density estimation Anomaly detection Data cleaning AutoML Association...

Word Count : 15293

Autoencoder

Last Update:

efficient representation (encoding) for a set of data, typically for dimensionality reduction. Variants exist, aiming to force the learned representations to...

Word Count : 5563

Vector database

Last Update:

(NeurIPS) host competitions on vector search in large databases. Curse of dimensionality – Difficulties arising when analyzing data with many aspects ("dimensions")...

Word Count : 1239

Model order reduction

Last Update:

vascular walls. Dimension reduction Metamodeling Principal component analysis Singular value decomposition Nonlinear dimensionality reduction System identification...

Word Count : 2778

Outline of machine learning

Last Update:

classifier Binary classifier Linear classifier Hierarchical classifier Dimensionality reduction Canonical correlation analysis (CCA) Factor analysis Feature extraction...

Word Count : 3582

Dynamical dimensional reduction

Last Update:

Dynamical dimensional reduction or spontaneous dimensional reduction is the apparent reduction in the number of spacetime dimensions as a function of the...

Word Count : 1051

PDF Search Engine © AllGlobal.net