Popular GitHub Repositories for Legendre Polynomials

Intel’s HERACLES accelerator introduces a new set of fundamental instructions, the Polynomial Instructions Set Architecture (P-ISA) that operates directly on polynomials requiring a completely new programming environment. This open-source project aims at developing the building blocks for a compiler toolchain for HERACLES.

Parametric differentiable curves with PyTorch for continuous embeddings, shape-restricted models, or KANs

High order and sparse layers in pytorch. Lagrange Polynomial, Piecewise Lagrange Polynomial, Piecewise Discontinuous Lagrange Polynomial (Chebyshev nodes) and Fourier Series layers of arbitrary order. Piecewise implementations could be thought of as a 1d grid (for each neuron) where each grid element is Lagrange polynomial. Both full connected and convolutional layers included.

Source code of NeurIPS'22 paper: FiLM: Frequency improved Legendre Memory Model for Long-term Time Series Forecasting

Polynomials are mathematical objects which are expressions of variables and coefficients added to-gether. These polynomials can use operator overloading in a very intuitive manner since most of the operators that we can overload are mathematical operators, which can also be applied to polynomials.

...

Dataset + algoritmos para simulación de aberraciones ópticas usando polinomios de Zernike.