Function approximation, a central theme in numerical analysis and applied mathematics, seeks to represent complex functions through simpler or more computationally tractable forms. In this context, ...

Matrix functions, such as the exponential, square root and cosine, play an indispensable role in various fields including quantum mechanics, control theory and numerical solution of differential ...

This article studies the problem of approximating functions belonging to a Hubert space H d with an isotropie or anisotropic translation invariant (or stationary) reproducing kernel with special ...

Researchers at the University of California, Los Angeles (UCLA) have developed an optical computing framework that performs ...

The DE-Sinc formulas, resulting from a combination of the Sine approximation formula with the double exponential (DE) transformation, provide a highly efficient method for function approximation. In ...

UCLA researchers demonstrate diffractive optical processors as universal nonlinear function approximators using linear ...

Researchers at the University of California, Los Angeles (UCLA) have developed an optical computing framework that performs large-scale nonlinear ...

In their 2001 paper, Longstaff and Schwartz suggested a method for American option pricing using simulation and regression, and since then this method has rapidly gained importance. However, the idea ...

Can light perform millions of calculations at once without extra materials? A new optical system shows how this can be done.

A new technical paper titled “Massively parallel and universal approximation of nonlinear functions using diffractive ...