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JMLR
2010
135views more  JMLR 2010»
13 years 5 months ago
Bundle Methods for Regularized Risk Minimization
A wide variety of machine learning problems can be described as minimizing a regularized risk functional, with different algorithms using different notions of risk and differen...
Choon Hui Teo, S. V. N. Vishwanathan, Alex J. Smol...
MP
2011
13 years 1 months ago
An FPTAS for minimizing the product of two non-negative linear cost functions
We consider a quadratic programming (QP) problem (Π) of the form min xT Cx subject to Ax ≥ b where C ∈ Rn×n + , rank(C) = 1 and A ∈ Rm×n , b ∈ Rm . We present an FPTAS ...
Vineet Goyal, Latife Genç Kaya, R. Ravi
DAM
1998
65views more  DAM 1998»
13 years 6 months ago
Minimization of an M-convex Function
M-convex functions, introduced by Murota (1996, 1998), enjoy various desirable properties as “discrete convex functions.” In this paper, we propose two new polynomial-time sca...
Akiyoshi Shioura
SIAMIS
2010
283views more  SIAMIS 2010»
13 years 1 months ago
A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
We generalize the primal-dual hybrid gradient (PDHG) algorithm proposed by Zhu and Chan in [M. Zhu, and T. F. Chan, An Efficient Primal-Dual Hybrid Gradient Algorithm for Total Var...
Ernie Esser, Xiaoqun Zhang, Tony F. Chan
TCOM
2011
83views more  TCOM 2011»
13 years 1 months ago
Minimizing Sum-MSE Implies Identical Downlink and Dual Uplink Power Allocations
—Minimizing the sum of mean squared errors using linear transceivers under a sum power constraint in the multiuser downlink is a non-convex problem. Existing algorithms exploit a...
Adam J. Tenenbaum, Raviraj S. Adve