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» On the number of minima of a random polynomial
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STOC
2003
ACM
95views Algorithms» more  STOC 2003»
14 years 6 months ago
Random knapsack in expected polynomial time
In this paper, we present the first average-case analysis proving an expected polynomial running time for an exact algorithm for the 0/1 knapsack problem. In particular, we prove,...
René Beier, Berthold Vöcking
TIT
2008
121views more  TIT 2008»
13 years 5 months ago
Stability Results for Random Sampling of Sparse Trigonometric Polynomials
Recently, it has been observed that a sparse trigonometric polynomial, i.e. having only a small number of non-zero coefficients, can be reconstructed exactly from a small number o...
Holger Rauhut
AAECC
2005
Springer
131views Algorithms» more  AAECC 2005»
13 years 5 months ago
Noisy interpolation of sparse polynomials in finite fields
Abstract We consider a polynomial analogue of the hidden number problem introduced by Boneh andVenkatesan, namely the sparse polynomial noisy interpolation problem of recovering an...
Igor Shparlinski, Arne Winterhof
COMBINATORICS
2004
106views more  COMBINATORICS 2004»
13 years 5 months ago
Random Matrices, Magic Squares and Matching Polynomials
Characteristic polynomials of random unitary matrices have been intensively studied in recent years: by number theorists in connection with Riemann zetafunction, and by theoretica...
Persi Diaconis, Alexander Gamburd
PKC
2004
Springer
95views Cryptology» more  PKC 2004»
13 years 11 months ago
A Nonuniform Algorithm for the Hidden Number Problem in Subgroups
Boneh and Venkatesan have proposed a polynomial time algorithm in a non-uniform model for recovering a ”hidden” element α ∈ IFp, where p is prime, from very short strings of...
Igor Shparlinski, Arne Winterhof