The well-optimized DifferentialEquations solvers benchmark as some of the fastest implementations of classic algorithms. It also includes algorithms from recent research which routinely outperform the ...

Equipping students with a range of transferable skills in mathematical modelling, analysis and computation for employment in industry and future research. This course provides training in many ...

Distributions: Normal, Gamma, Non-Central Chi-Squared (some functions are delegated to Apache commons-math). Models: Black Scholes, Bachelier, SABR, ZABR, CEV, etc. The library is available for Java ...

Brownian motion (BM) is a stochastic model that has been extensively studied in physics, finance, and engineering. However, its potential use in cryptographic applications remains underexplored. This ...

Silent data errors are raising concerns in large data centers, where they can propagate through systems and wreak havoc on long-duration programs like AI training runs. SDEs, also called silent data ...

Sampling from a given probability distribution is fundamental across various disciplines, including physics, signal processing, and artificial intelligence. In recent years, the ascendancy of flow, ...

Abstract: We consider the problem of estimating the expectation over a convex polyhedron specified by a set of linear inequalities. This problem encompasses a multitude of financial applications ...

With the widespread recognition of ChatGPT, the rise of generative AI has been truly remarkable. In this landscape filled with emerging generative AI models, one category has consistently stood out ...