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FOCS
2010
IEEE
15 years 3 months ago
Learning Convex Concepts from Gaussian Distributions with PCA
We present a new algorithm for learning a convex set in n-dimensional space given labeled examples drawn from any Gaussian distribution. The complexity of the algorithm is bounded ...
Santosh Vempala
SIAMSC
2008
179views more  SIAMSC 2008»
15 years 5 months ago
Multigrid Algorithms for Inverse Problems with Linear Parabolic PDE Constraints
Abstract. We present a multigrid algorithm for the solution of distributed parameter inverse problems constrained by variable-coefficient linear parabolic partial differential equa...
Santi S. Adavani, George Biros
ALT
1995
Springer
15 years 9 months ago
Learning Unions of Tree Patterns Using Queries
This paper characterizes the polynomial time learnability of TPk, the class of collections of at most k rst-order terms. A collection in TPk de nes the union of the languages de n...
Hiroki Arimura, Hiroki Ishizaka, Takeshi Shinohara
STOC
2003
ACM
188views Algorithms» more  STOC 2003»
16 years 6 months ago
Almost random graphs with simple hash functions
We describe a simple randomized construction for generating pairs of hash functions h1, h2 from a universe U to ranges V = [m] = {0, 1, . . . , m - 1} and W = [m] so that for ever...
Martin Dietzfelbinger, Philipp Woelfel
DAGSTUHL
2004
15 years 7 months ago
Information-Based Nonlinear Approximation: An Average Case Setting
Nonlinear approximation has usually been studied under deterministic assumptions and complete information about the underlying functions. In the present paper we assume only partia...
Leszek Plaskota