BIMSA > Stephen Shing-Toung Yau
Professor Stephen Shing-Toung Yau

Group: Statistics, Probability and Data Science

Office: A3-2-206

Email: yau@uic.edu

Research Field: Complex Geometry, Control Theory, Computer Science, Financial Mathematics, Bioinformation

CV

Biography

Stephen Yau received his PhD degree from the State University of New York at Stony Brook in 1976. He has served as a member of the Institute for Advanced Study at Princeton, an assistant professor at Harvard University under Benjamin Pierce, and later joined the University of Illinois at Chicago, where he taught for over 30 years in the departments of mathematics, statistics, and computer science.<br>Stephen Yau has made significant original contributions in international cutting-edge research fields, including mathematics, applied mathematics and control theory, computer science, financial mathematics, and bio informatics. He solved some famous conjectures in complex geometry and singularity theory, and was the first to successfully use Lie algebras to study hypersurface singularities in algebraic geometry, a algebra that is now known as Yau algebra among his peers. He solved the Mitter conjecture, completely solving the theoretical problem of nonlinear filters, which will have far-reaching implications for modern industries, including national defense. In the field of bio informatics, his work on the 2D representation of DNA and protein was published in the world's top journal, "Nucleic Acids Research". Recently, he pioneered the natural vector method for representing genomes and proteins. He has published over 200 academic papers, including top international mathematics journals such as PNAS, Annals of Mathematics, and Inventiones Mathematicae.

Education Experience

  • 1974 - 1976      Stony Brook University      Doctor
  • 1973 - 1974      Stony Brook University      Master
  • 1970 - 1973      CUHK

Publication

  • [1] Xiuqiong Chen*, Zeju Sun*, Yangtianze Tao, and Stephen Shing-Toung Yau, A Uniform Framework of Yau-Yau Algorithm Based on Deep Learning with the Capability of Overcoming the Curse of Dimensionality, accepted by IEEE Transactions on Automatic Control(2024)
  • [2] Hongyu Yu, and Stephen Shing-Toung Yau, The optimal metric for viral genome space, Computational and Structural Biotechnology Journal, 23(2024), 2083-2096
  • [3] Ruohan Ren, Hongyu Yu, Jiahao Teng, Sihui Mao, Zixuan Bian, Yangtianze Tao, and Stephen Shing-Toung Yau, CAPE: a deep learning framework with Chaos-Attention net for Promoter Evolution, Briefings in Bioinformatics(2024), 1-10
  • [4] Stephen S-T. Yau, Xiaopei Jiao, Finite dimensional estimation algebra on arbitrary state dimension with nonmaximal rank: linear structure of Wong matrix, accepted by International Journal of Control(2023)
  • [5] Stephen S-T. Yau, Hongyu Yu and Xiaopei Jiao, Complete classification of finite dimensional estimation algebras with state dimension n, linear rank n-1 and constant Wong matrix, accepted by IEEE Transactions on Automatic Control(2023)
  • [6] Jiayi Kang, Xiaopei Jiao and Stephen S-T. Yau, Finite Dimensional Estimation Algebra For Time-varying Filtering System and Optimal Transport Particle Filter: A Tangent Flow Point of View, IEEE Transactions on Aerospace and Electronic Systems(2023)
  • [7] Harris Song*, Nan Sun*, Wenping Yu and Stephen S-T. Yau, , A Novel Natural Graph for Efficient Clustering of Virus Genome Sequences, Current Bioinformatics(2023), 687-703
  • [8] Stephen S-T. Yau, Guorui Ma, Yang Wang, and Huaiqing Zuo, Hodge moduli algebras and complete invariants of singularities, accepted by Asian Journal of Mathematics(2023)
  • [9] Stephen S-T. Yau, Bingyi Chen, Naveed Hussain and Huaiqing Zuo, On variation of complex structures and variation of new Lie algebras arising from singularities, accepted by Proceedings of the 8th International Congress of Chinese Mathematicians(2023)
  • [10] Stephen S-T. Yau, Yangtianze Tao, and Jiayi Kang, Maximum Correntropy Ensemble Kalman Filter, accepted by proceedings of the 2023 62nd IEEE Conference on Decision and Control(2023)
  • [11] Stephen S-T. Yau, Guorui Ma and Huaiqing Zuo, k-th singular locus moduli algebras of singularities and their derivation Lie algebras, Journal of Mathematical Physics, 64:031701(2023), 1-13
  • [12] Yangtianze Tao , Jiayi Kang , and Stephen Shing-Toung Yau, Neural Projection Filter: Learning Unknown Dynamics Driven by Noisy Observations, IEEE Transactions on Neural Networks and Learning Systems, 35(2023), 7, 9508-9522
  • [13] Stephen S-T. Yau, Qiwei Zhu and Huaiqing Zuo, A criteria for classification of weighted dual graphs of singularities and its application, Asian Journal of Mathematics, 27(2023), 2, 261-300
  • [14] Stephen S-T. Yau, Haoyu Zhou and Ruohan Ren, Utilizing the codon adaptation index (CAI) to evaluate the susceptibility to HIV-1 and SARSCoV- 2 related coronaviruses in possible target cells in humans, Frontiers in Cellular and Infection Microbiology, section Virus and Host, 12:1085397(2023), 1-19
  • [15] Stephen S-T. Yau, Qiwei Zhu and Huaiqing Zuo, Classification of weighted dual graphs consisting of -2 curves and exactly one -3-Curve, Izvestiya: Mathematics, 87(2023), 5, 1078-1116
  • [16] Stephen S-T. Yau, Naveed Hussain and Huaiqing Zuo, On derivation Lie algebras of isolated complete intersection singularities, Letters in Mathematical Physics, 113:99(2023), 1-34
  • [17] Stephen S-T. Yau, Zeju Sun, Solving Nonlinear Filtering Problems with Correlated Noise Based on Hermite-Galerkin Spectral Method, Automatica, 156(2023), 111176, 1-14
  • [18] Stephen S-T. Yau, Yangtianze Tao, Outlier-Robust Iterative Extended Kalman Filtering, IEEE Signal Processing Letters, 30(2023), 743-747
  • [19] Stephen S-T. Yau, Jiayi Kang and Andrew Salmon, Log-concave posterior densities arising in continuous filtering and a maximum a posteriori algorithm, SIAM Journal on Control and Optimization, 64(2023), 4, 2407-2424
  • [20] Stephen S-T. Yau, Sijing Li, Zhongjian Wang and Zhiwen Zhang, Solving nonlinear filtering problems using a tensor train decomposition method, IEEE Transactions on Automatic Control, 68(2023), 7, 4405-4412
  • [21] Stephen S-T. Yau, Xiuqiong Chen, On the stability of linear feedback particle filter, Asian Journal of Mathematics, 27(2023), 1, 95-120
  • [22] Stephen S-T. Yau, Guorui Ma and Huaiqing Zuo, Nonexistence of negative weight derivations of the local k-th Hessian algebras associated to isolated singularities, Pacific Journal of Mathematics, 323(2023), 1, 129-172
  • [23] B.H. Lian, Naveed Hussain and Huaiqing Zuo, Derivations of local k-th Hessain algebras of singularities, Rocky Mountain Journal of Mathematics, 53(2023), 1, 65-87
  • [24] Stephen S-T. Yau, Naveed Hussain*, Zhiwen Liu* and Huaiqing Zuo, k-th Milnor Numbers and k-th Tjurina Numbers of Weighted Homogeneous Singularities, Geometriae Dedicata, 217(2023), 34, 1-35
  • [25] Stephen S-T. Yau, Wenhui Dong and Shanze Gao, Hessian matrix non-decomposition theorem and its application to nonlinear filtering, Nonlinear Analysis, 230:113236(2023), 1-22
  • [26] Stephen S-T. Yau, Naveed Hussain, Guorui Ma and Huaiqing Zuo, Higher Nash blow-up local algebras of singularities and its derivation Lie algebras, Journal of Algebra, 618(2023), 165-194
  • [27] Stephen S-T. Yau, Xiaopei Jiao, Structure of finite dimensional exact estimation algebra on state dimension 3 and linear rank 2, International Journal of Control, 96(2023), 2, 362-373
  • [28] Meng Fang*, Jiawei Xu*, Nan Sun and Stephen S.-T. Yau#, Generating Minimal Models of H1N1 NS1 Gene Sequences Using Alignment-based and Alignment-free Algorithms, Genes, 14:186(2023), 1-11
  • [29] Xiuqiong Chen, Yangtianze Tao, Wenjie Xu, and Stephen Shing-Toung Yau, Recurrent Neural Networks are Universal Approximators with Stochastic Inputs, IEEE Transactions on Neural Networks and Learning Systems, 34(2023), 10, 7992-8006
  • [30] Stephen S-T. Yau, Chun-Ting Hu, Shao-Jun Pei, Jing-Long Wang, Li-Dong Zu, Wei-Wei Shen, Lin Yuan, Feng Gao, Li-Ren Jiang and Guo-Hui Fu, Quantitative proteomics profiling reveals the inhibition of trastuzumab antitumor effcacy by phosphorylated RPS6 in gastric carcinoma, Cancer Chemotherapy and Pharmacology, 92(2023), 341-355
  • [31] Stephen S-T. Yau, Bingyi Chen, Bergman functions and the equivalence problem of singular domains, Communications in Analysis and Geometry, 31(2023), 2, 449-483
  • [32] Stephen S-T. Yau, Xiuqiong Chen, Xue Luo and Ji Shi, General convergence result for continuousdiscrete feedback particle filter, International Journal of Control, 95(2022), 11, 2972-2986
  • [33] Ruohan Ren, Changchuan Yin, and Stephen Shing-Toung Yau, kmer2vec: a novel method for comparing DNA sequences by word2vec embedding, Journal of Computational Biology, 29(2022), 9, 1001-1021
  • [34] Nan Sun and Stephen S.-T. Yau#, In-depth Investigation of the Point Mutation Pattern of HIV-1, Frontiers in Cellular and Infection Microbiology, 12:1033481(2022), 1-11
  • [35] Nan Sun, Jie Yang, Stephen S.-T. Yau, Identification of HIV rapid mutations using differences in nucleotide distribution over time, genes, 2022, vol 13, 170, 1-15
  • [36] Naveed Hussain, Stephen S.-T. Yau, Huaiqing Zuo, Geometric nilpotent Lie algebras and zero-dimensional simple complete intersection singularities, Forum Mathematicum, 2022, vol 34, 2, 323-345
  • [37] Stephen S-T. Yau, Xiankui Meng, Rigidity of CR morphisms, Pacific Journal of Mathematics, 316(2022), 1, 207-216
  • [38] Stephen S-T. Yau, Xiankui Meng, Kohn-Rossi Cohomology and Complex Plateau Problem, Pure and Applied Mathematics Quarterly, 18(2022), 2, 683-718
  • [39] Stephen S-T. Yau, Ruzhang Zhao and Shaojun Pei, New Genome Sequence Detection via Natural Vector Convex Hull Method, IEEE/ACM Transactions on Computational Biology and Bioinformatics, 19(2022), 3, 1782-1793
  • [40] Stephen S-T. Yau, Naveed Hussain and Huaiqing Zuo, Classification of the nilradical of k-th Yau algebras arising from singularities, Pure and Applied Mathematics Quarterly, 18(2022), 3, 835-862
  • [41] Stephen S-T. Yau, Naveed Hussain and Huaiqing Zuo, New k-th Yau algebras of isolated hypersurface singularities and weak Torelli-type theorem, Mathematical Research Letters, 29(2022), 2, 455-486
  • [42] Stephen S-T. Yau, Xiaona Bao, Lily He and Jingan Cui, Nucleotide Amino Acid K-mer Vector: An alignment-free method for comparing genomic sequences, Communications in Information and Systems, 22(2022), 3, 317-337
  • [43] Stephen S-T. Yau, Huaiqing Zuo, On Derivation Lie Algebras of Singularities and Torelli-Type Theorems, Notices of the ICCM, 10(2022), 2, 30-39
  • [44] Stephen S-T. Yau, Shuanghe Fan and Huaiqing Zuo, Non-existence of negative weight derivations of the local 1-st Hessian algebra of singularities, Asian Journal of Mathematics, 26(2022), 3, 289-372
  • [45] Stephen S-T. Yau, Mengcen Guan and Leqi Zhao, Classification of Protein Sequences by a Novel Alignment-Free Method on Bacterial and Virus Families, Genes, 13:1744(2022), 1-12
  • [46] Xiankui Meng, Stephen S.-T. Yau, Kohn-Rossi Cohomology and Complex Plateau Problem, Pure and Applied Mathematics Quarterly, 2022, vol 18, 2, 683-718
  • [47] Jian Liu, Ke-Lin Xia, Jie Wu, Stephen Shing-Toung Yau, and Guo-Wei Wei, Biomolecular topology: modelling and analysis, Acta Mathematica Sinica, 38(2022), 10, 1901-1938
  • [48] Rui Dong, Shaojun Pei, Mengcen Guan, Shek-Chung Yau, Changchuan Yin, Rong L. He, Stephen S.-T. Yau. Full chromosomal relationships between populations and the origin of humans. Frontiers in Genetics, 2022, 12, 828805. https://www.frontiersin.org/articles/10.3389/fgene.2021.828805/full
  • [49] Sun, Nan, Xin Zhao, and Stephen S-T. Yau. "An efficient numerical representation of genome sequence: natural vector with covariance component." PeerJ 10 (2022): e13544.
  • [50] Kang, Jiayi, Xiuqiong Chen, Yangtianze Tao, and Stephen Shing-Toung Yau. "Optimal transportation particle filter for linear filtering systems with correlated noises." IEEE Transactions on Aerospace and Electronic Systems 58, no. 6 (2022): 5190-5203.
  • [51] Hussain, Naveed, Stephen S-T. Yau, and Huaiqing Zuo. "An inequality conjecture and a weak Torelli-type theorem for isolated complete intersection singularities." Journal of Geometry and Physics 178 (2022): 104542.
  • [52] Shuanghe Fan, Stephen S.-T. Yau, Huaiqing Zuo, Non-existence of negative weight derivations of the local 1-st Hessian algebra of singularities, Asian Journal of Mathematics, 2022, , 1-81, to appear
  • [53] Hussain, Naveed, Stephen S-T. Yau, and Huaiqing Zuo. "Generalized Cartan Matrices Associated to k-th Yau Algebras of Singularities and Characterization Theorem." Algebras and Representation Theory 25, no. 6 (2022): 1461-1492.
  • [54] Hussain, Naveed, Stephen S-T. Yau, and Huaiqing Zuo. "Classification of the nilradical of $ k $-th Yau algebras arising from singularities." Pure and Applied Mathematics Quarterly 18, no. 3 (2022): 835-862.
  • [55] Chen, Xiuqiong, Yangtianze Tao, Wenjie Xu, and Stephen Shing-Toung Yau, accepted by IEEE Trans. Neural Netw. Learn. Syst., (), -, (2022)
  • [56] Stephen S-T. Yau, Chuangqiang Hu and Huaiqing Zuo, Complex structures of a twenty dimensional family of Calabi-Yau 3-folds, Communications in Analysis and Geometry, 30(2022), 8, 1825-1831
  • [57] Shaojun Pei, Stephen S.-T. Yau, Analysis of the Genomic Distance Between Bat Coronavirus RaTG13 and SARS-CoV-2 Reveals Multiple Origins of COVID-19, Acta Mathematica Scientia, 2021, vol 41, 3, 1017-1022
  • [58] Naveed Hussain, Stephen S.-T. Yau；Huaiqing Zuo, Derivation Lie Algebras of New k-TH Local Algebras of Isolated Hypersurface Singularities, Pacific Journal of Mathematics, 2021, vol 314, 2, 311-331
  • [59] Ji Shi, Xiuqiong Chen, Stephen S.-T. Yau, A Novel Real-Time Filtering Method to General Nonlinear Filtering Problem Without Memory, IEEE ACCESS, 2021, vol 2021, 2021, 119343-119352
  • [60] Naveed Hussain, Stephen S.-T. Yau, Huaiqing Zuo, ON THE DIMENSION OF A NEW CLASS OF DERIVATION LIE ALGEBRAS ASSOCIATED TO SINGULARITIES, Mathematics, 2021, vol 9, 14, 1-15
  • [61] Xiuqiong Chen*, Jiayi Kang*, Mina Teicher, Stephen S.-T. Yau, A New Linear Regression Kalman Filter with Symmetric Samples, Symmetry, 2021, vol 13, 11, 1-13
  • [62] Xiaopei Jiao*, Shaojun Pei*, Zeju Sun, Jiayi Kang, Stephen S.-T. Yau, Determination of the nucleotide or amino acid composition of genome or protein sequences by using natural vector method and convex hull principle, Fundamental Research, 2021, vol 1, , 559-564
  • [63] Jiao, Xiaopei, and Stephen S-T. Yau. "Structure of finite dimensional exact estimation algebra on state dimension 3 and linear rank 2." International Journal of Control (2021): 1-12.
  • [64] Nan Sun*, Shaojun Pei*, Lily He, Changchuan Yin, Rong Lucy He, Stephen S.-T. Yau, Geometric construction of viral genome space and its applications, Computational and Structural Biotechnology Journal 2021, 19, 4226-4234.
  • [65] Chen, Xiuqiong, Xue Luo, Ji Shi, and Stephen S-T. Yau. "General convergence result for continuous-discrete feedback particle filter." International Journal of Control (2021): 1-15.
  • [66] Bingyi Chen,Stephen S.-T. Yau, Shing-Tung Yau, Huaiqing Zuo, 4d N=2 SCFT and singularity theory Part IV: Isolated rational Gorenstein non-complete intersection singularities with at least one-dimensional deformation and nontrivial T-2, MATHEMATICAL RESEARCH LETTERS, 2021, vol 28, 1, 1-23
  • [67] Shaojun Pei, Rui Dong, Yiming Bao, Rong He, and Stephen Shing-Toung Yau, Classification of genomic components and prediction of genes of Begomovirus based on subsequence natural vector and support vector machine, PeerJ, 8(2020), 1-15
  • [68] Tung Hoang, Changchuan Yin, and Stephen Shing-Toung Yau, Splice sites detection using chaos game representation and neural network, Genomics, 112(2020), 1847-1852
  • [69] Chenglong Yu, Mo Deng, Lu Zheng, Rong Lucy He, Jie Yang, and Stephen Shing-Toung Yau, DFA7, A New Method to Distinguish between Intron-containing and Intronless Genes, PLoS ONE, 9(2014), 1-10
  • [70] Stephen S-T. Yau, Naveed Hussain and Huaiqing Zuo, Geometric nilpotent Lie algebras and zerodimensional simple complete intersection singularities, Forum Mathematicum, 34, 2, 323-345

 

Update Time: 2024-09-24 09:46:42