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COMGEO
2012
ACM
12 years 3 months ago
Preserving geometric properties in reconstructing regions from internal and nearby points
The problem of reconstructing a region from a set of sample points is common in many geometric applications, including computer vision. It is very helpful to be able to guarantee ...
Ernest Davis
STOC
1995
ACM
108views Algorithms» more  STOC 1995»
13 years 11 months ago
A parallel repetition theorem
We show that a parallel repetition of any two-prover one-round proof system (MIP(2, 1)) decreases the probability of error at an exponential rate. No constructive bound was previou...
Ran Raz
FOCS
2008
IEEE
13 years 9 months ago
A Dichotomy Theorem for the Resolution Complexity of Random Constraint Satisfaction Problems
We consider random instances of constraint satisfaction problems where each variable has domain size O(1), each constraint is on O(1) variables and the constraints are chosen from...
Siu On Chan, Michael Molloy
APAL
2006
63views more  APAL 2006»
13 years 7 months ago
Satisfaction of existential theories in finitely presented groups and some embedding theorems
Abstract. The main result is that for every recursively enumerable existential consistent theory (in the usual language of group theory), there exists a finitely presented SQ-univ...
Abderezak Ould Houcine
SIAMJO
2008
104views more  SIAMJO 2008»
13 years 7 months ago
A Minimax Theorem with Applications to Machine Learning, Signal Processing, and Finance
This paper concerns a fractional function of the form xT a/ xT Bx, where B is positive definite. We consider the game of choosing x from a convex set, to maximize the function, an...
Seung-Jean Kim, Stephen P. Boyd