Ordinary Differential Equations (ODEs) - Fixed-step and adaptive solvers with comprehensive features including event detection, dense output, and customizable and common recipes for solution output.

SDEvelo represents a significant advancement in the analysis of single-cell RNA sequencing (scRNA-seq) data, offering a novel approach to inferring RNA velocity through multivariate stochastic ...

A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...

Abstract: Training machine learning models often involves solving high-dimensional stochastic optimization problems, where stochastic gradient-based algorithms are hindered by slow convergence.

Stochastic modelling is the development of mathematical models for non-deterministic physical systems, which can adopt many possible behaviours starting from any given initial condition. Monte-Carlo ...

Abstract: The ubiquity of Internet of Things (IoT) systems has seamlessly integrated into our daily lives, particularly in smart homes where devices continuously monitor and optimize our living ...