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ESANN
2006
14 years 11 months ago
Topological Correlation
Quantifying the success of the topographic preservation achieved with a neural map is difficult. In this paper we present Topological Correlation, Tc, a method that assesses the de...
Kevin Doherty, Rod Adams, Neil Davey
NIPS
2004
14 years 11 months ago
Triangle Fixing Algorithms for the Metric Nearness Problem
Various problems in machine learning, databases, and statistics involve pairwise distances among a set of objects. It is often desirable for these distances to satisfy the propert...
Inderjit S. Dhillon, Suvrit Sra, Joel A. Tropp
ASC
2007
14 years 10 months ago
Unsupervised learning with normalised data and non-Euclidean norms
The measurement of distance is one of the key steps in the unsupervised learning process, as it is through these distance measurements that patterns and correlations are discovere...
Kevin Doherty, Rod Adams, Neil Davey
CORR
2011
Springer
161views Education» more  CORR 2011»
14 years 1 months ago
Quadratic Goldreich-Levin Theorems
Decomposition theorems in classical Fourier analysis enable us to express a bounded function in terms of few linear phases with large Fourier coefficients plus a part that is pseu...
Madhur Tulsiani, Julia Wolf
COMPGEOM
2011
ACM
14 years 1 months ago
Persistence-based clustering in riemannian manifolds
We present a clustering scheme that combines a mode-seeking phase with a cluster merging phase in the corresponding density map. While mode detection is done by a standard graph-b...
Frédéric Chazal, Leonidas J. Guibas,...