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

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

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 ...

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 ...

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

Mathematics of Computation, Vol. 84, No. 294 (JULY 2015), pp. 1835-1860 (26 pages) The Padé approximation has a long and rich history of theory and application and is known to produce excellent local ...

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 ...

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