Microsoft

Learning sums of powers of low-degree polynomials in the non-degenerate case

We develop algorithms for writing a polynomial as sums of powers of low degree polynomials in the non-degenerate case. This problem generalizes symmetric tensor decomposition which is widely studied, ...
GitHub

Learning-based property estimation with polynomials

power_sun.ipynb : Performance of power sum estimation on four datasets tr.pdf : technical report [1] Li, J., Lei, R., Wang, S., Wei, Z., & Ding, B. (2024). Learning ...
IEEE

Constrained learning algorithms for finding the roots of polynomials: a case study

Abstract: This paper makes further discussions on the constrained learning algorithms (CLA) proposed by Perantonis et al. which is an efficient constrained back propagation (BP) algorithm formed by ...