FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2217964046> ?p ?o ?g. }

• W2217964046 abstract "Nonparametric two sample testing is a decision theoretic problem that involves identifying differences between two random variables without making parametric assumptions about their underlying distributions. We refer to the most common settings as mean difference alternatives (MDA), for testing differences only in first moments, and general difference alternatives (GDA), which is about testing for any difference in distributions. A large number of test statistics have been proposed for both these settings. This paper connects three classes of statistics - high dimensional variants of Hotelling's t-test, statistics based on Reproducing Kernel Hilbert Spaces, and energy statistics based on pairwise distances. We ask the question: how much statistical power do popular kernel and distance based tests for GDA have when the unknown distributions differ in their means, compared to specialized tests for MDA? We formally characterize the power of popular tests for GDA like the Maximum Mean Discrepancy with the Gaussian kernel (gMMD) and bandwidth-dependent variants of the Energy Distance with the Euclidean norm (eED) in the high-dimensional MDA regime. Some practically important properties include (a) eED and gMMD have asymptotically equal power; furthermore they enjoy a free lunch because, while they are additionally consistent for GDA, they also have the same power as specialized high-dimensional t-test variants for MDA. All these tests are asymptotically optimal (including matching constants) under MDA for spherical covariances, according to simple lower bounds, (b) The power of gMMD is independent of the kernel bandwidth, as long as it is larger than the choice made by the median heuristic, (c) There is a clear and smooth computation-statistics tradeoff for linear-time, subquadratic-time and quadratic-time versions of these tests, with more computation resulting in higher power." @default.
• W2217964046 created "2016-06-24" @default.
• W2217964046 creator A5013695358 @default.
• W2217964046 creator A5032389695 @default.
• W2217964046 creator A5062033062 @default.
• W2217964046 creator A5077874981 @default.
• W2217964046 creator A5082314161 @default.
• W2217964046 date "2015-08-04" @default.
• W2217964046 modified "2023-10-09" @default.
• W2217964046 title "Adaptivity and Computation-Statistics Tradeoffs for Kernel and Distance based High Dimensional Two Sample Testing" @default.
• W2217964046 cites W1973240854 @default.
• W2217964046 cites W1992244412 @default.
• W2217964046 cites W2002190927 @default.
• W2217964046 cites W2006736642 @default.
• W2217964046 cites W2011292888 @default.
• W2217964046 cites W2027390033 @default.
• W2217964046 cites W2029671524 @default.
• W2217964046 cites W2030150661 @default.
• W2217964046 cites W2035702014 @default.
• W2217964046 cites W2045650933 @default.
• W2217964046 cites W2050498681 @default.
• W2217964046 cites W2063698478 @default.
• W2217964046 cites W2064771454 @default.
• W2217964046 cites W2100052115 @default.
• W2217964046 cites W2103679238 @default.
• W2217964046 cites W2110097068 @default.
• W2217964046 cites W2111527197 @default.
• W2217964046 cites W2125865219 @default.
• W2217964046 cites W2132138475 @default.
• W2217964046 cites W2140142253 @default.
• W2217964046 cites W2147294044 @default.
• W2217964046 cites W2212660284 @default.
• W2217964046 cites W2324309783 @default.
• W2217964046 cites W2611591252 @default.
• W2217964046 cites W277017175 @default.
• W2217964046 cites W2950371686 @default.
• W2217964046 cites W2964340499 @default.
• W2217964046 cites W3102351945 @default.
• W2217964046 cites W3103827447 @default.
• W2217964046 cites W3143518984 @default.
• W2217964046 hasPublicationYear "2015" @default.
• W2217964046 type Work @default.
• W2217964046 sameAs 2217964046 @default.
• W2217964046 citedByCount "15" @default.
• W2217964046 countsByYear W22179640462016 @default.
• W2217964046 countsByYear W22179640462017 @default.
• W2217964046 countsByYear W22179640462018 @default.
• W2217964046 countsByYear W22179640462019 @default.
• W2217964046 countsByYear W22179640462020 @default.
• W2217964046 countsByYear W22179640462021 @default.
• W2217964046 crossrefType "posted-content" @default.
• W2217964046 hasAuthorship W2217964046A5013695358 @default.
• W2217964046 hasAuthorship W2217964046A5032389695 @default.
• W2217964046 hasAuthorship W2217964046A5062033062 @default.
• W2217964046 hasAuthorship W2217964046A5077874981 @default.
• W2217964046 hasAuthorship W2217964046A5082314161 @default.
• W2217964046 hasConcept C102366305 @default.
• W2217964046 hasConcept C105795698 @default.
• W2217964046 hasConcept C118615104 @default.
• W2217964046 hasConcept C120174047 @default.
• W2217964046 hasConcept C121332964 @default.
• W2217964046 hasConcept C129848803 @default.
• W2217964046 hasConcept C163716315 @default.
• W2217964046 hasConcept C184898388 @default.
• W2217964046 hasConcept C2524010 @default.
• W2217964046 hasConcept C2776257435 @default.
• W2217964046 hasConcept C28826006 @default.
• W2217964046 hasConcept C31258907 @default.
• W2217964046 hasConcept C33923547 @default.
• W2217964046 hasConcept C41008148 @default.
• W2217964046 hasConcept C62520636 @default.
• W2217964046 hasConcept C74193536 @default.
• W2217964046 hasConcept C87007009 @default.
• W2217964046 hasConceptScore W2217964046C102366305 @default.
• W2217964046 hasConceptScore W2217964046C105795698 @default.
• W2217964046 hasConceptScore W2217964046C118615104 @default.
• W2217964046 hasConceptScore W2217964046C120174047 @default.
• W2217964046 hasConceptScore W2217964046C121332964 @default.
• W2217964046 hasConceptScore W2217964046C129848803 @default.
• W2217964046 hasConceptScore W2217964046C163716315 @default.
• W2217964046 hasConceptScore W2217964046C184898388 @default.
• W2217964046 hasConceptScore W2217964046C2524010 @default.
• W2217964046 hasConceptScore W2217964046C2776257435 @default.
• W2217964046 hasConceptScore W2217964046C28826006 @default.
• W2217964046 hasConceptScore W2217964046C31258907 @default.
• W2217964046 hasConceptScore W2217964046C33923547 @default.
• W2217964046 hasConceptScore W2217964046C41008148 @default.
• W2217964046 hasConceptScore W2217964046C62520636 @default.
• W2217964046 hasConceptScore W2217964046C74193536 @default.
• W2217964046 hasConceptScore W2217964046C87007009 @default.
• W2217964046 hasLocation W22179640461 @default.
• W2217964046 hasOpenAccess W2217964046 @default.
• W2217964046 hasPrimaryLocation W22179640461 @default.
• W2217964046 hasRelatedWork W163393313 @default.
• W2217964046 hasRelatedWork W2011292888 @default.
• W2217964046 hasRelatedWork W2027390033 @default.
• W2217964046 hasRelatedWork W2081874429 @default.
• W2217964046 hasRelatedWork W2103679238 @default.
• W2217964046 hasRelatedWork W2110097068 @default.
• W2217964046 hasRelatedWork W2124331852 @default.

• next