Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

Image Restoration with Mean-Reverting Stochastic Differential Equations, ICML 2023. Winning solution of the NTIRE 2023 Image Shadow Removal Challenge.

Abstract: We present a method for learning latent stochastic differential equations (SDEs) from high dimensional time series data. Given a high-dimensional time series generated from a lower ...

In the last few decades, the role of numerical analysis and scientific computing has been increasing rapidly, especially for the solution of real-world problems. Mathematical models of infectious ...

1 Departamento de Estadística, Análisis Matemático y Optimización, Universidade de Santiago de Compostela, Santiago de Compostela, Spain 2 Instituto de Matemáticas, Universidade de Santiago de ...

ABSTRACT: Motivated by the lack of a suitable constructive framework for analyzing popular stochastic models of Systems Biology, we devise conditions for existence and uniqueness of solutions to ...

Faculty of Basic Education, University of Banking HCM City, Vietnam. Faculty of Mathematics and Computer Science, Vietnam National University, HCM City, Vietnam. Recently, the field of stochastic ...

Abstract: In previous years, curve evolution, applied to a single contour or to the level sets of an image via partial differential equations, has emerged as an important tool in image processing and ...