This paper gives a new example of exploiting the idea of using polynomials with restricted coefficients over finite fields and rings to construct reliable cryptosystems and identif...
We consider the problem of finding a sparse multiple of a polynomial. Given f F[x] of degree d, and a desired sparsity t, our goal is to determine if there exists a multiple h F[...
Mark Giesbrecht, Daniel S. Roche, Hrushikesh Tilak
Algebraic randomization techniques can be applied to hybrid symbolic-numeric algorithms. Here we consider the problem of interpolating a sparse rational function from noisy values...
Abstract. Given an algebraic geometry code CL(D, P), the GuruswamiSudan algorithm produces a list of all codewords in CL(D, P) within a specified distance of a received word. The i...
Abstract--We present a versatile framework for tractable computation of approximate variances in large-scale Gaussian Markov random field estimation problems. In addition to its ef...
Dmitry M. Malioutov, Jason K. Johnson, Myung Jin C...