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STOC
2009
ACM
136views Algorithms» more  STOC 2009»
14 years 10 months ago
Random walks on polytopes and an affine interior point method for linear programming
Let K be a polytope in Rn defined by m linear inequalities. We give a new Markov Chain algorithm to draw a nearly uniform sample from K. The underlying Markov Chain is the first t...
Ravi Kannan, Hariharan Narayanan
WOWMOM
2005
ACM
82views Multimedia» more  WOWMOM 2005»
14 years 3 months ago
Power Control is not Required for Wireless Networks in the Linear Regime
— We consider the design of optimal strategies for joint power adaptation, rate adaptation and scheduling in a multi-hop wireless network. Most existing strategies control either...
Bozidar Radunovic, Jean-Yves Le Boudec
COMPGEOM
1992
ACM
14 years 1 months ago
A Subexponential Bound for Linear Programming
We present a simple randomized algorithm which solves linear programs with n constraints and d variables in expected minfO(d 22dn); e 2 pdln(n= p d)+O( p d+lnn)g time in the unit ...
Jirí Matousek, Micha Sharir, Emo Welzl
NIPS
2004
13 years 11 months ago
Two-Dimensional Linear Discriminant Analysis
Linear Discriminant Analysis (LDA) is a well-known scheme for feature extraction and dimension reduction. It has been used widely in many applications involving high-dimensional d...
Jieping Ye, Ravi Janardan, Qi Li
CDC
2008
IEEE
142views Control Systems» more  CDC 2008»
13 years 10 months ago
Stability analysis of linear hyperbolic systems with switching parameters and boundary conditions
Abstract— We study asymptotic stability of an infinite dimensional system that switches between a finite set of modes. Each mode is governed by a system of one-dimensional, lin...
Saurabh Amin, Falk M. Hante, Alexandre M. Bayen