From the 1 of 6 linked papers with an AI index.
6 papers
Power Homotopy for Zeroth-Order Non-Convex Optimizations
Chen Xu
The paper introduces GS-PowerHP, a homotopy-based method that gradually reduces the Gaussian smoothing radius to improve exploration and refinement in zeroth-order non-convex optim…
Precision-induced Adaptive Randomized Low-Rank Approximation for SVD and Matrix Inversion
Weiwei Xu, Weijie Shen, Zhengjian Bai +1
Singular value decomposition (SVD) and matrix inversion are ubiquitous in scientific computing. Both tasks are computationally demanding for large scale matrices. Existing algorith…
Progressive Power Homotopy for Non-convex Optimization
Chen Xu
We propose a novel first-order method for non-convex optimization of the form , termed Progressi…
KAN-Enhanced Contrastive Learning Accelerating Crystal Structure Identification from XRD Patterns
Chenlei Xu, Tianhao Su, Jie Xiong +6
Accurate determination of crystal structures is central to materials science, underpinning the understanding of composition-structure-property relationships and the discovery of ne…
ReBaCCA-ss: Relevance-Balanced Continuum Correlation Analysis with Smoothing and Surrogating for Quantifying Similarity Between Population Spiking Activities
Xiang Zhang, Chenlin Xu, Zhouxiao Lu +2
Quantifying similarity between population spike patterns is essential for understanding how neural dynamics encode information. Traditional approaches, which combine kernel smoothi…
Global Optimization with A Power-Transformed Objective and Gaussian Smoothing
Chen Xu
We propose a novel method that solves global optimization problems in two steps: (1) perform a (exponential) power- transformation to the not-necessarily differentiable objectiv…