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ECML
2007
Springer
15 years 3 months ago
Fast Optimization Methods for L1 Regularization: A Comparative Study and Two New Approaches
L1 regularization is effective for feature selection, but the resulting optimization is challenging due to the non-differentiability of the 1-norm. In this paper we compare state...
Mark Schmidt, Glenn Fung, Rómer Rosales
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
15 years 9 months ago
Quadratic forms on graphs
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...
SODA
2004
ACM
161views Algorithms» more  SODA 2004»
14 years 10 months ago
Approximation schemes for Metric Bisection and partitioning
We design polynomial time approximation schemes (PTASs) for Metric BISECTION, i.e. dividing a given finite metric space into two halves so as to minimize or maximize the sum of di...
Wenceslas Fernandez de la Vega, Marek Karpinski, C...
CORR
2010
Springer
142views Education» more  CORR 2010»
14 years 8 months ago
HyperANF: Approximating the Neighbourhood Function of Very Large Graphs on a Budget
The neighbourhood function NG(t) of a graph G gives, for each t ∈ N, the number of pairs of nodes x, y such that y is reachable from x in less that t hops. The neighbourhood fun...
Paolo Boldi, Marco Rosa, Sebastiano Vigna
SIAMCO
2002
121views more  SIAMCO 2002»
14 years 9 months ago
Consistent Approximations and Approximate Functions and Gradients in Optimal Control
As shown in [7], optimal control problems with either ODE or PDE dynamics can be solved efficiently using a setting of consistent approximations obtained by numerical discretizati...
Olivier Pironneau, Elijah Polak