With the rapid development of artificial intelligence (AI) technology, artificial neural networks (ANNs) have achieved significant success in multiple fields. However, traditional neural network training methods—especially the backpropagation algorithm—face numerous challenges in hardware implementation. Although the backpropagation algorithm is ef...

Academic Background In today’s healthcare environment, medical imaging plays a crucial role in disease diagnosis, treatment planning, and health management. However, traditional medical image analysis methods face numerous challenges, such as overfitting, high computational costs, limited generalization capabilities, and issues related to noise, si...

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 ...

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 ...

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...