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COMPGEOM
2011
ACM
14 years 5 months ago
An output-sensitive algorithm for persistent homology
In this paper, we present the first output-sensitive algorithm to compute the persistence diagram of a filtered simplicial complex. For any Γ > 0, it returns only those homo...
Chao Chen, Michael Kerber
SDM
2011
SIAM
241views Data Mining» more  SDM 2011»
14 years 4 months ago
A Fast Algorithm for Sparse PCA and a New Sparsity Control Criteria
Sparse principal component analysis (PCA) imposes extra constraints or penalty terms to the standard PCA to achieve sparsity. In this paper, we first introduce an efficient algor...
Yunlong He, Renato Monteiro, Haesun Park
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
13 years 4 months ago
Deterministic construction of an approximate M-ellipsoid and its applications to derandomizing lattice algorithms
We give a deterministic O(log n)n -time and space algorithm for the Shortest Vector Problem (SVP) of a lattice under any norm, improving on the previous best deterministic nO(n) -...
Daniel Dadush, Santosh Vempala
KDD
2003
ACM
127views Data Mining» more  KDD 2003»
16 years 2 months ago
Experiments with random projections for machine learning
Dimensionality reduction via Random Projections has attracted considerable attention in recent years. The approach has interesting theoretical underpinnings and offers computation...
Dmitriy Fradkin, David Madigan
IPPS
2000
IEEE
15 years 6 months ago
Transient Analysis of Dependability/Performability Models by Regenerative Randomization with Laplace Transform Inversion
In this paper we develop a variant of a previously proposed method the regenerative randomization method for the transient analysis of dependability performability models. The va...
Juan A. Carrasco