Faster sparse multivariate polynomial interpolation of straight-line programs
From MaRDI portal
Publication:2635066
DOI10.1016/j.jsc.2015.11.005zbMath1398.68693arXiv1412.4088OpenAlexW1941702124MaRDI QIDQ2635066
Andrew Arnold, Daniel S. Roche, Mark W. Giesbrecht
Publication date: 11 February 2016
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.4088
Symbolic computation and algebraic computation (68W30) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Randomized algorithms (68W20)
Related Items (7)
Sparse polynomial interpolation based on derivatives ⋮ Learning algebraic decompositions using Prony structures ⋮ Faster interpolation algorithms for sparse multivariate polynomials given by straight-line programs ⋮ Multiple rank-1 lattices as sampling schemes for multivariate trigonometric polynomials ⋮ On the complexity of the Lickteig-Roy subresultant algorithm ⋮ Fast multivariate multi-point evaluation revisited ⋮ Constructing spatial discretizations for sparse multivariate trigonometric polynomials that allow for a fast discrete Fourier transform
Cites Work
- Unnamed Item
- Unnamed Item
- Interpolating polynomials from their values
- Interpolation of polynomials given by straight-line programs
- Explaining the wheel sieve
- On fast multiplication of polynomials over arbitrary algebras
- Approximate formulas for some functions of prime numbers
- Fast estimates of Hankel matrix condition numbers and numeric sparse interpolation
- Arithmetic Circuits: A survey of recent results and open questions
- Sparse interpolation over finite fields via low-order roots of unity
- Multivariate sparse interpolation using randomized Kronecker substitutions
- Powers of tensors and fast matrix multiplication
- Faster Integer Multiplication
- Fast Probabilistic Algorithms for Verification of Polynomial Identities
- Learning Decision Trees Using the Fourier Spectrum
- Interpolation of Sparse Multivariate Polynomials over Large Finite Fields with Applications
- Faster Sparse Interpolation of Straight-Line Programs
- Diversification improves interpolation
- Probability Inequalities for Sums of Bounded Random Variables
- Nearly optimal sparse fourier transform
- Stable signal recovery from incomplete and inaccurate measurements
- Compressed sensing
- Symbolic-numeric sparse interpolation of multivariate polynomials
- Fast construction of irreducible polynomials over finite fields
- Derandomizing polynomial identity tests means proving circuit lower bounds
This page was built for publication: Faster sparse multivariate polynomial interpolation of straight-line programs