Efficient Storage and Regression Computation for Population-Scale Genome Sequencing Studies

With the increasing availability of large-scale population biobanks, the potential of Whole Genome Sequencing (WGS) data in human health and disease research has been significantly enhanced. However, the massive computational and storage demands of WGS data pose significant challenges to research institutions, especially those with limited funding ...

Research on the Lowest Cost to Calculate the Lyapunov Exponents from Fractional Differential Equations

Background Introduction Fractional Differential Equations (FDEs) extend traditional calculus by allowing derivatives and integrals of non-integer orders. This mathematical framework exhibits unique advantages in describing complex dynamical behaviors, particularly in the study of chaotic and nonlinear systems. Lyapunov Exponents (LEs) are critical ...

A Scalable Framework for Learning the Geometry-Dependent Solution Operators of Partial Differential Equations

Introduction In recent years, solving partial differential equations (PDEs) using numerical methods has played a significant role in various fields such as engineering and medicine. These methods have shown remarkable effectiveness in applications like topology and design optimization as well as clinical prognostication. However, the high computati...