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pro vyhledávání: '"Wei, GUO"'
Knot data analysis (KDA), which studies data with curve-type structures such as knots, links, and tangles, has emerging as a promising geometric topology approach in data science. While evolutionary Khovanov homology has been developed to analyze the
Externí odkaz:
http://arxiv.org/abs/2409.18312
The Hodge decomposition is a fundamental result in differential geometry and algebraic topology, particularly in the study of differential forms on a Riemannian manifold. Despite extensive research in the past few decades, topology-preserving Hodge d
Externí odkaz:
http://arxiv.org/abs/2408.14356
Artificial intelligence-assisted drug design is revolutionizing the pharmaceutical industry. Effective molecular features are crucial for accurate machine learning predictions, and advanced mathematics plays a key role in designing these features. Pe
Externí odkaz:
http://arxiv.org/abs/2408.13299
Recently, topological data analysis (TDA) has become a trending topic in data science and engineering. However, the key technique of TDA, i.e., persistent homology, is defined on point cloud data, which restricts its scope. In this work, we propose p
Externí odkaz:
http://arxiv.org/abs/2408.00220
Data sets with imbalanced class sizes, where one class size is much smaller than that of others, occur exceedingly often in many applications, including those with biological foundations, such as disease diagnosis and drug discovery. Therefore, it is
Externí odkaz:
http://arxiv.org/abs/2406.06479
Autor:
Wee, JunJie, Wei, Guo-Wei
AlphaFold 3 (AF3), the latest version of protein structure prediction software, goes beyond its predecessors by predicting protein-protein complexes. It could revolutionize drug discovery and protein engineering, marking a major step towards comprehe
Externí odkaz:
http://arxiv.org/abs/2406.03979
Knot theory is a study of the embedding of closed circles into three-dimensional Euclidean space, motivated the ubiquity of knots in daily life and human civilization. However, the current knot theory focuses on the topology rather than metric. As su
Externí odkaz:
http://arxiv.org/abs/2406.02821
Topological data analysis, as a tool for extracting topological features and characterizing geometric shapes, has experienced significant development across diverse fields. Its key mathematical techniques include persistent homology and the recently
Externí odkaz:
http://arxiv.org/abs/2404.11799
Autor:
Wang, Yong-Yi, Shi, Yun-Hao, Sun, Zheng-Hang, Chen, Chi-Tong, Wang, Zheng-An, Zhao, Kui, Liu, Hao-Tian, Ma, Wei-Guo, Wang, Ziting, Li, Hao, Zhang, Jia-Chi, Liu, Yu, Deng, Cheng-Lin, Li, Tian-Ming, He, Yang, Liu, Zheng-He, Peng, Zhen-Yu, Song, Xiaohui, Xue, Guangming, Yu, Haifeng, Huang, Kaixuan, Xiang, Zhongcheng, Zheng, Dongning, Xu, Kai, Fan, Heng
Isolated interacting quantum systems generally thermalize, yet there are several counterexamples for the breakdown of ergodicity, such as many-body localization and quantum scars. Recently, ergodicity breaking has been observed in systems subjected t
Externí odkaz:
http://arxiv.org/abs/2403.09095
Autor:
Chen, Dong, Liu, Gengzhuo, Du, Hongyan, Wee, Junjie, Wang, Rui, Chen, Jiahui, Shen, Jana, Wei, Guo-Wei
As COVID-19 enters its fifth year, it continues to pose a significant global health threat, with the constantly mutating SARS-CoV-2 virus challenging drug effectiveness. A comprehensive understanding of virus-drug interactions is essential for predic
Externí odkaz:
http://arxiv.org/abs/2403.02603