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» Complexity of Equations over Sets of Natural Numbers
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IPL
2008
95views more  IPL 2008»
14 years 9 months ago
Approximating maximum satisfiable subsystems of linear equations of bounded width
We consider the problem known as MAX-SATISFY: given a system of m linear equations over the rationals, find a maximum set of equations that can be satisfied. Let r be the width of...
Zeev Nutov, Daniel Reichman
STOC
2010
ACM
176views Algorithms» more  STOC 2010»
15 years 2 months ago
Complexity Theory for Operators in Analysis
We propose a new framework for discussing computational complexity of problems involving uncountably many objects, such as real numbers, sets and functions, that can be represente...
Akitoshi Kawamura and Stephen Cook
ICS
2010
Tsinghua U.
15 years 7 months ago
Cryptography by Cellular Automata or How Fast Can Complexity Emerge in Nature?
Computation in the physical world is restricted by the following spatial locality constraint: In a single unit of time, information can only travel a bounded distance in space. A ...
Benny Applebaum, Yuval Ishai, Eyal Kushilevitz
CIE
2007
Springer
15 years 3 months ago
The Complexity Ecology of Parameters: An Illustration Using Bounded Max Leaf Number
In the framework of parameterized complexity, exploring how one parameter affects the complexity of a different parameterized (or unparameterized problem) is of general interest....
Michael R. Fellows, Frances A. Rosamond
NIPS
2004
14 years 11 months ago
Algebraic Set Kernels with Application to Inference Over Local Image Representations
This paper presents a general family of algebraic positive definite similarity functions over spaces of matrices with varying column rank. The columns can represent local regions ...
Amnon Shashua, Tamir Hazan