Witrynahigh probability all pairwise distances are preserved up to 1±γ (up to scaling). Conceptually, one can think of a random projection as first applying a random rotation to Rn and then reading off the first d coordinates. In fact, a number of different forms of “random projection” are known to work (including some that WitrynaHowever, whether margin is preserved after random projection is non-trivial and not well studied. In this paper we analyse margin distortion after random projection, and give …

Is margin preserved after random projection? - University of …

Witryna18 cze 2012 · However, whether margin is preserved after random projection is non-trivial and not well studied. In this paper we analyse margin distortion after random … spectrum asheville

Is margin preserved after random projection? - NASA/ADS

WitrynaRandom projections have been applied in many machine learning algorithms. However, whether margin is preserved after random projection is non-trivial and not well stud-ied. In this paper we analyse margin distor-tion after random projection, and give … Witryna11 maj 2024 · Theoretical basis of random projections RP is a computationally efficient and sufficiently accuracy method as respect to preserving Euclidean distance after dimension reduction. The theoretical basis of RP arises from the following lemma. Lemma 2.1 Johnson–Lindenstrauss Lemma [25], [22] Witryna26 lis 2012 · preservation after random projections us ing Gaussian matrices. They show that margin preservation is c losely related to acute angle preservation and … spectrum asheville nc channels pdf