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

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, ...

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

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 ...

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

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

The Taylor approximation to the n-input constant elasticity of substitution (CES) function is presented and compared to Kmenta's well-known approximation for n = 2. The n-input approximation is, as ...

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 ...

Monte Carlo simulation techniques that use function approximations have been successfully applied to approximately price multi-dimensional American options. However, for many pricing problems the time ...