Across modern data-intensive disciplines, the union of numerical computation, statistics, and machine learning has become ...

Spherical approximation techniques form a cornerstone of modern numerical integration on curved domains. These methods seek to approximate integrals over the unit sphere or related manifolds by ...

In the fields of engineering and science, partial differential equations (PDEs) have extensive applications and significant potential for modeling natural and physical phenomena. These equations ...

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 ...

Many banks currently use the loss distribution approach (LDA) for estimating economic and regulatory capital for operational risk under Basel's advanced measurement approach. The LDA requires the ...