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» On the number of minima of a random polynomial
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ALT
2010
Springer
15 years 8 months ago
Lower Bounds on Learning Random Structures with Statistical Queries
We show that random DNF formulas, random log-depth decision trees and random deterministic finite acceptors cannot be weakly learned with a polynomial number of statistical queries...
Dana Angluin, David Eisenstat, Leonid Kontorovich,...
STOC
1998
ACM
135views Algorithms» more  STOC 1998»
15 years 11 months ago
Checking Polynomial Identities over any Field: Towards a Derandomization?
We present a Monte Carlo algorithm for testing multivariate polynomial identities over any field using fewer random bits than other methods. To test if a polynomial P(x1 ::: xn) ...
Daniel Lewin, Salil P. Vadhan
FOCS
2002
IEEE
15 years 11 months ago
Rapidly Mixing Markov Chains for Sampling Contingency Tables with a Constant Number of Rows
We consider the problem of sampling almost uniformly from the set of contingency tables with given row and column sums, when the number of rows is a constant. Cryan and Dyer [3] h...
Mary Cryan, Martin E. Dyer, Leslie Ann Goldberg, M...
CISC
2007
Springer
111views Cryptology» more  CISC 2007»
16 years 26 days ago
Multivariates Polynomials for Hashing
We propose the idea of building a secure hash using quadratic or higher degree multivariate polynomials over a finite field as the compression function. We analyze some security ...
Jintai Ding, Bo-Yin Yang
CRYPTO
2001
Springer
152views Cryptology» more  CRYPTO 2001»
15 years 11 months ago
Secure Distributed Linear Algebra in a Constant Number of Rounds
Consider a network of processors among which elements in a finite field K can be verifiably shared in a constant number of rounds. Assume furthermore constant-round protocols ar...
Ronald Cramer, Ivan Damgård