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ICMLA
2008
14 years 11 months ago
Graph-Based Multilevel Dimensionality Reduction with Applications to Eigenfaces and Latent Semantic Indexing
Dimension reduction techniques have been successfully applied to face recognition and text information retrieval. The process can be time-consuming when the data set is large. Thi...
Sophia Sakellaridi, Haw-ren Fang, Yousef Saad
DCG
2002
66views more  DCG 2002»
14 years 9 months ago
A Commutative Algebra for Oriented Matroids
Let V be a vector space of dimension d over a field K and let A be a central arrangement of hyperplanes in V. To answer a question posed by K. Aomoto, P. Orlik and H. Terao constru...
Raul Cordovil
JSYML
2010
55views more  JSYML 2010»
14 years 8 months ago
Groups definable in linear o-minimal structures: the non-compact case
Let M = M, +, <, 0, S be a linear o-minimal expansion of an ordered group, and G = G, ⊕, eG an n-dimensional group definable in M. We show that if G is definably connected w...
Pantelis E. Eleftheriou
CALC
2001
Springer
145views Cryptology» more  CALC 2001»
15 years 2 months ago
Fast Reduction of Ternary Quadratic Forms
We show that a positive definite integral ternary form can be reduced with O(M(s) log2 s) bit operations, where s is the binary encoding length of the form and M(s) is the bit-com...
Friedrich Eisenbrand, Günter Rote
DCG
2007
79views more  DCG 2007»
14 years 9 months ago
Distance Measures for Well-Distributed Sets
In this paper we investigate the Erd¨os/Falconer distance conjecture for a natural class of sets statistically, though not necessarily arithmetically, similar to a lattice. We pr...
Alex Iosevich, Michael Rudnev