Johnson‐Lindenstrauss lemma for circulant matrices**
Copyright policy )Johnson‐Lindenstrauss lemma for circulant matrices**
AbstractWe prove a variant of a Johnson‐Lindenstrauss lemma for matrices with circulant structure. This approach allows to minimize the randomness used, is easy to implement and provides good running times. The price to be paid is the higher dimension of the target space k = O(ε−2 log3 n) instead of the classical bound k = O(ε−2 log n). © 2011 Wiley Periodicals, Inc. Random Struct. Alg., 2011
Johnson-Lindenstrauss lemma, FOS: Computer and information sciences, Random matrices (algebraic aspects), Computer Science - Information Theory, Information Theory (cs.IT), 68Q01, Circulant matrix, Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science, 52C99, Functional Analysis (math.FA), Mathematics - Functional Analysis, Random matrices (probabilistic aspects), 52C99; 68Q01, Dimension reduction, FOS: Mathematics
Johnson-Lindenstrauss lemma, FOS: Computer and information sciences, Random matrices (algebraic aspects), Computer Science - Information Theory, Information Theory (cs.IT), 68Q01, Circulant matrix, Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science, 52C99, Functional Analysis (math.FA), Mathematics - Functional Analysis, Random matrices (probabilistic aspects), 52C99; 68Q01, Dimension reduction, FOS: Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).30 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!