He Tao Shenzhen-Hong Kong Science and Technology Innovation Cooperation Zone (Photo by Xinhua News Agency reporter Liang Xu) On the 9th, the He Tao Institute of Mathematics and ...

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 ...

Time-inconsistent optimal control arises when decision-makers confront preferences that change over time, leading to challenges in applying traditional dynamic programming methods. This research field ...

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 ...

In this paper, we consider a mean-field stochastic differential equation, also called the McKean-Vlasov equation, with initial data (t, x) ∈ [0, T] × ℝd, whose ...

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

In the realm of financial mathematics, differential equations play a pivotal role in modeling and solving problems related to various financial instruments and markets. These mathematical tools are ...

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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 ...

1 Mathematics Department, University of Delta, Agbor, Nigeria. 2 Mathematics Department, Delta State University, Abraka, Nigeria. This study is focused on the approximate solution for the class of ...