Academic Report No.36：SESOP-CP: Accelerating Tensor Decomposition via Sequential Subspace Optimization

Academic Report No.35：Thermodynamics-Informed Machine Learning for Multiscale PDE Models

Liyuan Scholars Colloquium Session 165: Darcy's law in Porous medium flows

Liyuan Scholars Colloquium Session 164: Recent Advances in Research on Complex Dynamical Systems and Artificial Intelligence

Academic Report No.34：Mathematical Foundations of Next-Generation Machine Learning

Academic Report No.33：Deciphering Nuclei-Resolved Spatial Biology by Uniting Spatial Omics and Histopathology

Liyuan Scholars Colloquium Session 163: Hermitian-Yang-Mills equation on Higgs bundles

Academic Report No.32：Ordered binary shifts with a hole

Academic Report No.31：Well-posedness and the incompressible limit of the free boundary problem for the compressible elastodynamics

Academic Report No.30：Methods and Theories for Community Detection in Network Data

Academic Report No. 29：Target reproduction numbers for time-delayed population systems

Academic Report No. 28：The second moment of spinor L-functions for Sp(4)

Academic Report No. 27： A New Paradigm for Industry-Academia-Research Collaboration Driven by AI: Pathways and Practical Insights from Young Faculty

Academic Report No. 26： MR2G: A novel framework for causal network inference using GWAS summary data

Academic Report No. 25：Global Dynamics for Dirac-Klein-Gordon System with a Class of Large Initial Data