While there exists a growing literature dealing with the interpolation of sparse polynomials, fewer references address problems related to the evaluation of such polynomials. A notable exception is a result by Canny, Kaltofen and Lakshman, which shows that this can be done in amortized polylogarithmic time, provided we use very specific evaluation points. In this talk, I will discuss some questions around the evaluation of sparse polynomials for general evaluation points. This is joint work with Dorian Nogneng and Larry Li.Non UBCUnreviewedAuthor affiliation: University of Waterloo CanadaFacult
International audienceThe efficient evaluation of multivariate polynomials at many points is an impo...
International audienceThe evaluation of a polynomial at several points is called the problem of mult...
We present algorithms performing sparse univariate polynomial interpolation with errors in the evalu...
Given a way to evaluate an unknown polynomial with integer coefficients, we present new algorithms t...
A general class of polynomials is defined which includes as subcases sparse and dense polynomials. F...
A.H. Nuttall's (see ibid., vol. ASSP-35, no.10, p.1486-7, 1987) algorithm for the evaluation of a po...
A.H. Nuttall's (see ibid., vol. ASSP-35, no.10, p.1486-7, 1987) algorithm for the evaluation of a po...
Sparse polynomials are those polynomials with only a few non-zero coefficients relative to their deg...
In Proceedings of the International Symposium on Symbolic and Algebraic Computation 2014 (ISSAC'14)I...
We obtain new lower bounds on the number of non zeros of sparse polynomials and give a fully polynom...
We consider polynomials of a few linear forms and show how exploit this type of sparsity for optimiz...
How should one design and implement a program for the multiplication of sparse polynomials? This is ...
We propose an algorithm for quickly evaluating polynomials. It pre-conditions a complex polynomial $...
We present algorithms performing sparse univariate polynomial interpolation with er-rors in the eval...
An efficient evaluation method is described for polynomials in finite fields. Its complexity is show...
International audienceThe efficient evaluation of multivariate polynomials at many points is an impo...
International audienceThe evaluation of a polynomial at several points is called the problem of mult...
We present algorithms performing sparse univariate polynomial interpolation with errors in the evalu...
Given a way to evaluate an unknown polynomial with integer coefficients, we present new algorithms t...
A general class of polynomials is defined which includes as subcases sparse and dense polynomials. F...
A.H. Nuttall's (see ibid., vol. ASSP-35, no.10, p.1486-7, 1987) algorithm for the evaluation of a po...
A.H. Nuttall's (see ibid., vol. ASSP-35, no.10, p.1486-7, 1987) algorithm for the evaluation of a po...
Sparse polynomials are those polynomials with only a few non-zero coefficients relative to their deg...
In Proceedings of the International Symposium on Symbolic and Algebraic Computation 2014 (ISSAC'14)I...
We obtain new lower bounds on the number of non zeros of sparse polynomials and give a fully polynom...
We consider polynomials of a few linear forms and show how exploit this type of sparsity for optimiz...
How should one design and implement a program for the multiplication of sparse polynomials? This is ...
We propose an algorithm for quickly evaluating polynomials. It pre-conditions a complex polynomial $...
We present algorithms performing sparse univariate polynomial interpolation with er-rors in the eval...
An efficient evaluation method is described for polynomials in finite fields. Its complexity is show...
International audienceThe efficient evaluation of multivariate polynomials at many points is an impo...
International audienceThe evaluation of a polynomial at several points is called the problem of mult...
We present algorithms performing sparse univariate polynomial interpolation with errors in the evalu...