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CORR
2007
Springer
124views Education» more  CORR 2007»
15 years 6 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel
ICONIP
2009
15 years 4 months ago
Quasi-Deterministic Partially Observable Markov Decision Processes
We study a subclass of POMDPs, called quasi-deterministic POMDPs (QDET-POMDPs), characterized by deterministic actions and stochastic observations. While this framework does not mo...
Camille Besse, Brahim Chaib-draa
JC
2000
138views more  JC 2000»
15 years 6 months ago
Multivariate Polynomials, Duality, and Structured Matrices
We rst review thebasic properties of the well knownclasses of Toeplitz, Hankel, Vandermonde, and other related structured matrices and reexamine their correlation to operations wi...
Bernard Mourrain, Victor Y. Pan
ACMSE
2006
ACM
15 years 10 months ago
Achieving efficient polynomial multiplication in fermat fields using the fast Fourier transform
We introduce an efficient way of performing polynomial multiplication in a class of finite fields GF(pm ) in the frequency domain. The Fast Fourier Transform (FFT) based frequency...
Selçuk Baktir, Berk Sunar
FOCS
2008
IEEE
15 years 6 months ago
Market Equilibria in Polynomial Time for Fixed Number of Goods or Agents
We consider markets in the classical Arrow-Debreu model. There are n agents and m goods. Each buyer has a concave utility function (of the bundle of goods he/she buys) and an init...
Nikhil R. Devanur, Ravi Kannan