BIMSA > 丘成栋
研究员 丘成栋

团队: 统计、概率和数据科学

办公室: A3-2-206

邮箱: stephenyau@bimsa.cn

研究方向: 复几何、控制论、计算机科学、金融数学、生物信息

CV

个人简介

丘成栋教授1976年获美国纽约州立大学石溪分校博士学位，历任美国普林斯顿高等研究院成员，哈佛大学Benjamin Pierce助理教授，之后加入伊利诺伊大学芝加哥分校，在数学、统计和计算机科学系任教30余年。
丘成栋教授在数学、应用数学与控制论、计算机科学、金融数学、生物信息等国际前沿研究领域取得了大量前沿原创成果。他解决了复几何和奇点理论中的一些国际著名的猜想，第一个成功地将李代数用来研究代数几何中的超曲面奇点，这个代数被同行称为Yau 代数；解决了Mitter猜想，从而完全解决了非线性滤波器的理论问题，这对现代工业，包括国防工业将会有深远的影响。在生物信息方面，他在DNA及蛋白质2维表示法方面的成果发表在世界顶尖杂志《Nuclei Acid Research 》上。 最近，他开创了natural vector方法来表示基因组和蛋白质。他先后发表两百多篇学术论文，其中包括《PNAS》、《Ann. of Math.》、《Invent. Math.》等国际顶尖数学刊物。

教育经历

  • 1974 - 1976      纽约州立大学石溪分校      博士
  • 1973 - 1974      纽约州立大学石溪分校      硕士
  • 1970 - 1973      香港中文大学

出版物

  • [1] Jiayi Kang, Xiaopei Jiao, and Stephen S.-T. Yau, Estimation of the Linear System via Optimal Transportation and Its Application for Missing Data Observations, IEEE Transactions on Automatic Control (2025)
  • [2] Shi, J.*, Jiao, X.*, & Yau, S. S.-T., A Novel Logarithmic Transformed Deep Galerkin Approach to Optimal Filtering Problem, accepted by Proceeding of 2024 IEEE 63rd Conference on Decision and Control (CDC) (2024)
  • [3] Y Tao, J Kang, SST Yau, The Stochastic Stability Analysis for Outlier Robustness of Kalman-type Filtering Framework Based on Correntropy-Induced Cost, IEEE Transactions on Automatic Control (2024)
  • [4] Jiayi Kang, Andrew Salmon and Stephen S.-T. Yau, Nonexistence of finite-dimensional estimation algebras on closed smooth manifolds, arXiv preprint arXiv:2410.08689 (2024)
  • [5] Xiuqiong Chen, Jiayi Kang and Stephen S.-T. Yau, Time-varying feedback particle filter, Automatica, 167, 111740 (2024)
  • [6] 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)
  • [7] Mengcen Guan*, Nan Sun*, and Stephen S-T. Yau#, Geometric analysis of SARS-CoV-2 variants, Gene, 909, 148291 (2024)
  • [8] Hongyu Yu, and Stephen Shing-Toung Yau, The optimal metric for viral genome space, Computational and Structural Biotechnology Journal, 23(2024), 2083-2096
  • [9] Stephen S.-T. Yau, Xin Zhao, Kun Tian, Hongyu Yu, Mathematical Principles in Bioinformatics, Springer(2024)
  • [10] 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
  • [11] 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)
  • [12] 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)
  • [13] 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)
  • [14] 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)
  • [15] Harris Song*, Nan Sun*, Wenping Yu and Stephen S-T. Yau#, , A Novel Natural Graph for Efficient Clustering of Virus Genome Sequences, Current Bioinformatics, 687-703 (2023)
  • [16] 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)
  • [17] Nan Sun, Hongyu Yu, Ruohan Ren, Tao Zhou, Mengcen Guan, Leqi Zhao, Stephen S.-T. Yau#, Grand Biological Universe: Genome space geometry unravels looking for a single metric is likely to be futile in evolution, bioRxiv (2023)
  • [18] 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
  • [19] 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
  • [20] Y Tao, J Kang, SST Yau, Neural projection filter: Learning unknown dynamics driven by noisy observations, IEEE Transactions on Neural Networks and Learning Systems (2023)
  • [21] 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
  • [22] 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
  • [23] 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
  • [24] 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
  • [25] Stephen S-T. Yau, Yangtianze Tao, Outlier-Robust Iterative Extended Kalman Filtering, IEEE Signal Processing Letters, 30(2023), 743-747
  • [26] 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
  • [27] 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
  • [28] 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
  • [29] Stephen S-T. Yau, Xiuqiong Chen, On the stability of linear feedback particle filter, Asian Journal of Mathematics, 27(2023), 1, 95-120
  • [30] 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
  • [31] 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
  • [32] Stephen S-T. Yau, Naveed Hussain*, Zhiwen Liu* and Huaiqing Zuo, -th Milnor numbers and-th Tjurina numbers of weighted homogeneous singularities, Geometriae Dedicata, 217(34), 1-35 (2023)
  • [33] 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
  • [34] 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
  • [35] 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
  • [36] 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
  • [37] Nan Sun, Xin Zhao and Stephen S.-T. Yau#, An efficient numerical representation of genome sequence: Natural vector with covariance component, PeerJ, 10, e13544 (2022)
  • [38] 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(6), 5190-5203 (2022)
  • [39] Nan Sun, Jie Yang and Stephen S.-T. Yau#, Identification of HIV rapid mutations using differences in nucleotide distribution over time, Genes, 13(2), 170 (2022)
  • [40] Xiankui Meng, Stephen S.-T. Yau, Kohn-Rossi Cohomology and Complex Plateau Problem, Pure and Applied Mathematics Quarterly, 2022, vol 18, 2, 683-718
  • [41] Chen, Xiuqiong, Yangtianze Tao, Wenjie Xu, and Stephen Shing-Toung Yau, accepted by IEEE Trans. Neural Netw. Learn. Syst., (), -, (2022)
  • [42] 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
  • [43] 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
  • [44] 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
  • [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] 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
  • [47] 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
  • [48] 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
  • [49] 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
  • [50] 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
  • [51] 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
  • [52] Stephen S-T. Yau, Xiankui Meng, Kohn-Rossi Cohomology and Complex Plateau Problem, Pure and Applied Mathematics Quarterly, 18(2022), 2, 683-718
  • [53] 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
  • [54] 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
  • [55] Nan Sun, Jie Yang, Stephen S.-T. Yau, Identification of HIV rapid mutations using differences in nucleotide distribution over time, genes, Genes, (), -, (2022)
  • [56] Hussain, Naveed, Stephen S-T. Yau, and Huaiqing Zuo, Classification of the nilradical of $ k $-th Yau algebras arising from singularities., Pure Appl. Math. Q., (), -, (2022)
  • [57] Hussain, Naveed, Stephen S-T. Yau, and Huaiqing Zuo, Generalized Cartan Matrices Associated to k-th Yau Algebras of Singularities and Characterization Theorem., Algebr. Represent. Theory, (), -, (2022)
  • [58] Hussain, Naveed, Stephen S-T. Yau, and Huaiqing Zuo, An inequality conjecture and a weak Torelli-type theorem for isolated complete intersection singularities., J. Geom. Phys., (), -, (2022)
  • [59] 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, Front. Genet., (), -, (2022)
  • [60] Xiuqiong Chen*, Jiayi Kang*, Mina Teicher, and Stephen S.-T. Yau, A New Linear Regression Kalman Filter with Symmetric Samples, Symmetry, 13(11), 2139 (2021)
  • [61] Xiaopei Jiao*, Shaojun Pei*, Zeju Sun, Jiayi Kang and 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, 1(5), 559-564 (2021)
  • [62] 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.
  • [63] 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, Adv. Math., (), -, (2021)
  • [64] 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 Math. Sci., (), -, (2021)
  • [65] Naveed Hussain, Stephen S.-T. Yau；Huaiqing Zuo, Derivation Lie Algebras of New k-TH Local Algebras of Isolated Hypersurface Singularities, Pac. J. Math., (), -, (2021)
  • [66] Ji Shi, Xiuqiong Chen, Stephen S.-T. Yau, A Novel Real-Time Filtering Method to General Nonlinear Filtering Problem Without Memory, IEEE Access, (), -, (2021)
  • [67] Naveed Hussain, Stephen S.-T. Yau, Huaiqing Zuo, ON THE DIMENSION OF A NEW CLASS OF DERIVATION LIE ALGEBRAS ASSOCIATED TO SINGULARITIES, Mathematics, (), -, (2021)
  • [68] Xiuqiong Chen*, Jiayi Kang*, Mina Teicher, Stephen S.-T. Yau, Symmetry-Basel, (), -, (2021)
  • [69] 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)
  • [70] Chen, Xiuqiong, Xue Luo, Ji Shi, and Stephen S-T. Yau, General convergence result for continuous-discrete feedback particle filter., Int. J. Control, (), -, (2021)
  • [71] Nan Sun*, Shaojun Pei*, Lily He, Changchuan Yin, Rong Lucy He and Stephen S.-T. Yau#, Geometric construction of viral genome space and its applications, Computational and Structural Biotechnology Journal, 19, 4226-4234 (2021)
  • [72] Kun Tian* , Xin Zhao*, Stephen S.‑T. Yau, Amino acid torsion angles enable prediction of protein fold classification, Scientific Reports (2020)
  • [73] Nan Sun*, Rui Dong*, Shaojun Pei, Changchuan Yin and Stephen S.-T. Yau#, A new method based on coding sequence density to cluster bacteria, Journal of Computational Biology, 27(12), 1688-1698 (2020)
  • [74] 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
  • [75] Tung Hoang, Changchuan Yin, and Stephen Shing-Toung Yau, Splice sites detection using chaos game representation and neural network, Genomics, 112(2020), 1847-1852
  • [76] Kun Tian*, Xin Zhao*, Stephen S.-T. Yau, Convex hull analysis of evolutionary and phylogenetic relationships between biological groups, Journal of Theoretical Biology (2018)
  • [77] Xin Zhao, Kun Tian, Stephen S.-T. Yau, A new efficient method for analyzing fungi species using correlations between nucleotides, BMC Evolutionary Biology (2018)
  • [78] S. S.-T. Yau, B. Yuan and H. Zuo , On the polynomial sharp upper estimate conjecture in 7-dimensional simplex, Journal of number theory, 160, 254-286 (2016)
  • [79] 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
  • [80] GUO-QING HU; STEPHEN S. T. YAU; WEN-LIN CHIOU, FINITE-DIMENSIONAL FILTERS WITH NONLINEAR DRIFT XIII: CLASSIFICATION OF FINITE-DIMENSIONAL ESTIMATION ALGEBRAS OF MAXIMAL RANK WITH STATE SPACE DIMENSION FIVE, Asian Journal of Math, 04(2000), 04, 905-932
  • [81] N Hussain, SST Yau, H Zuo, Three types of derivation lie algebras of isolated hypersurface singularities, Rendiconti del Circolo Matematico di Palermo Series 2, 74(1), 1-20 (2025)
  • [82] X Li, T Zhou, X Feng, ST Yau, SST Yau, Exploring geometry of genome space via Grassmann manifolds, The Innovation, 5(5) (2024)
  • [83] W Cao, S Liu, C Liu, Z He, SST Yau, SE Li, Convolutional bayesian filtering, arXiv (2024)
  • [84] X Jiao, SST Yau, Finite-dimensional estimation algebra on arbitrary state dimension with nonmaximal rank: linear structure of Wong matrix, International Journal of Control, 97(11), 2669-2676 (2024)
  • [85] W Cao, T Zhang, Z Sun, C Liu, SST Yau, SE Li, Nonlinear Bayesian Filtering with Natural Gradient Gaussian Approximation, arXiv (2024)
  • [86] C Hu, SST Yau, H Zuo, On the$k$-th Tjurina number of weighted homogeneous singularities, arXiv (2024)
  • [87] H Yu, SST Yau, Automated recognition of chromosome fusion using an alignment-free natural vector method, Frontiers in Genetics, 15, 1364951 (2024)
  • [88] Q Shi, SST Yau, H Zuo, On$T$-maps and ideals of antiderivatives of hypersurface singularities, Известия Российской академии наук. Серия математическая, 88(6), 190-226 (2024)
  • [89] X Jiao, SST Yau, Weak form Mitter conjecture on nonmaximal rank estimation algebra: state dimension 4 and rank 3, 系统科学与复杂性 (2024)
  • [90] J Shi, X Jiao, SST Yau, DGLG: A Novel Deep Generalized Legendre-Galerkin Approach To Optimal Filtering Problem, IEEE Transactions on Automatic Control (2024)
  • [91] SST Yau, X Zhao, K Tian, H Yu, Sequence alignment, Mathematical Principles in Bioinformatics, 27-42 (2023)
  • [92] H Zhou, R Ren, SST Yau, Utilizing the codon adaptation index to evaluate the susceptibility to HIV-1 and SARS-CoV-2 related coronaviruses in possible target cells in humans, Frontiers in cellular and infection microbiology, 12, 1085397 (2023)
  • [93] SST Yau, Q Zhu, H Zuo, Classification of weighted dual graphs consisting of$-2$-curves and exactly one$-3$-curve, Известия Российской академии наук. Серия математическая, 87(5), 232-270 (2023)
  • [94] CT Hu, SJ Pei, JL Wang, LD Zu, WW Shen, L Yuan, F Gao, LR Jiang, ..., Quantitative proteomics profiling reveals the inhibition of trastuzumab antitumor efficacy by phosphorylated RPS6 in gastric carcinoma, Cancer chemotherapy and pharmacology, 92(5), 341-355 (2023)
  • [95] Z Sun, SST Yau, Solving nonlinear filtering problems with correlated noise based on Hermite–Galerkin spectral method, Automatica, 156, 111176 (2023)
  • [96] N Hussain, SST Yau, H Zuo, DERIVATIONS OF LOCAL$k$-TH HESSIAN ALGEBRAS OF SINGULARITIES, Rocky Mountain Journal of Mathematics, 53(1), 65-87 (2023)
  • [97] H Yu, X Jiao, SST Yau, Complete Classification of Finite Dimensional Estimation Algebras With State Dimension n, Linear Rank n-1, and Constant Wong Matrix, IEEE Transactions on Automatic Control, 69(1), 295-302 (2023)
  • [98] X Chen, X Luo, J Shi, SST Yau, General convergence result for continuous-discrete feedback particle filter, International Journal of Control, 95(11), 2972-2986 (2022)
  • [99] N Hussain, SST Yau, H Zuo, An inequality conjecture and a weak Torelli-type theorem for isolated complete intersection singularities, Journal of Geometry and Physics, 178, 104542 (2022)
  • [100] N Hussain, SST Yau, H Zuo, Generalized Cartan Matrices Associated to-th Yau Algebras of Singularities and Characterization Theorem, Algebras and Representation Theory, 25(6), 1461-1492 (2022)
  • [101] B Chen, SST Yau, ST Yau, H Zuo, $4d$$N=2$SCFT and singularity theory Part IV: Isolated rational Gorenstein non-complete intersection singularities with at least one-dimensional deformation and …, Mathematical Research Letters, 28(1), 1-23 (2022)
  • [102] Z Xiao, SST Yau, Q Zhu, H Zuo, On the Nakai Conjecture for some singularities, ANNALI SCUOLA NORMALE SUPERIORE-CLASSE DI SCIENZE, 18(18) (2022)
  • [103] N Hussain, SST Yau, H Zuo, Inequality conjectures on derivations of local-th Hessain algebras associated to isolated hypersurface singularities, Mathematische Zeitschrift, 298, 1813-1829 (2021)
  • [104] N Hussain, SST YAU, H Zuo, TH YAU NUMBER OF ISOLATED HYPERSURFACE SINGULARITIES AND AN INEQUALITY CONJECTURE, Journal of the Australian Mathematical Society, 110(1), 94-118 (2021)
  • [105] N Hussain, SST Yau, H Zuo, On two inequality conjectures for the-th Yau numbers of isolated hypersurface singularities, Geometriae Dedicata, 212, 57-71 (2021)
  • [106] N Hussain, SST Yau, H Zuo, On the Generalized Cartan Matrices Arising from-th Yau Algebras of Isolated Hypersurface Singularities, Algebras and Representation Theory, 24, 1101-1124 (2021)
  • [107] W Dong, X Chen, SST Yau, The novel classes of finite dimensional filters with non-maximal rank estimation algebra on state dimension four and rank of one, International Journal of Control, 94(5), 1156-1165 (2021)
  • [108] C Yin, SST Yau, Inverted repeats in coronavirus SARS-CoV-2 genome manifest the evolution events, Journal of Theoretical Biology, 530, 110885 (2021)
  • [109] B Chen, N Hussain, SST Yau, H Zuo, Variation of complex structures and variation of Lie algebras II: new Lie algebras arising from singularities, Journal of Differential Geometry, 115(3), 437-473 (2020)
  • [110] B Chen, H Chen, SST Yau, H Zuo, The nonexistence of negative weight derivations on positive dimensional isolated singularities: generalized Wahl conjecture, Journal of Differential Geometry, 115(2), 195-224 (2020)
  • [111] N Hussain, SST Yau, H Zuo, On the new-th Yau algebras of isolated hypersurface singularities, Mathematische Zeitschrift, 294(1), 331-358 (2020)
  • [112] R Dong, S Pei, C Yin, RL He, SST Yau, Analysis of the hosts and transmission paths of SARS-CoV-2 in the COVID-19 outbreak, Genes, 11(6), 637 (2020)
  • [113] Z Sun, S Pei, RL He, SST Yau, A novel numerical representation for proteins: three-dimensional chaos game representation and its extended natural vector, Computational and Structural Biotechnology Journal, 18, 1904-1913 (2020)
  • [114] N Hussain, SST Yau, H Zuo, Generalized Cartan matrices arising from new derivation Lie algebras of isolated hypersurface singularities, Pacific Journal of Mathematics, 305(1), 189-217 (2020)
  • [115] G Ma, SST Yau, H Zuo, On the non-existence of negative weight derivations of the new moduli algebras of singularities, Journal of Algebra, 564, 199-246 (2020)
  • [116] L He, R Dong, RL He, SST Yau, A novel alignment-free method for HIV-1 subtype classification, Infection, Genetics and Evolution, 77, 104080 (2020)
  • [117] W Dong, X Luo, SST Yau, Solving nonlinear filtering problems in real time by Legendre Galerkin spectral method, IEEE Transactions on Automatic Control, 66(4), 1559-1572 (2020)
  • [118] C Hu, S Yang, SST Yau, Weight enumerators for nonbinary asymmetric quantum codes and their applications, Advances in Applied Mathematics, 121, 102085 (2020)
  • [119] J Shi, SST Yau, Finite dimensional estimation algebras with state dimension 3 and rank 2, Mitter conjecture, International Journal of Control, 93(9), 2177-2186 (2020)
  • [120] L He, R Dong, RL He, SST Yau, Positional correlation natural vector: a novel method for genome comparison, International Journal of Molecular Sciences, 21(11), 3859 (2020)
  • [121] X Jiao, SST Yau, New Classes of Finite Dimensional Filters with Nonmaximal Rank Estimation Algebra on State Dimension$n$and Linear Rank$n-2$, SIAM Journal on Control and Optimization, 58(6), 3413-3427 (2020)
  • [122] N Hussain, X Luo, SST Yau, M Zhang, H Zuo, On classification of toric surface codes of dimension seven, Communications in Analysis and Geometry, 28(2), 263-319 (2020)
  • [123] C Yin, SST Yau, Inverted repeats in coronavirus SARS-CoV-2 genome and implications in evolution, arXiv (2020)
  • [124] W Dong, X Chen, SST Yau, Novel Classification of Finite Dimensional Filters with Non-maximal Rank Estimation Algebra, 2020 American Control Conference (ACC), 3349-3354 (2020)
  • [125] W Dong, SST Yau, A Novel Image Description With the Stretched Natural Vector Method: Application to Face Recognition, IEEE Access, 8, 100084-100094 (2020)
  • [126] YY Zhang, J Wen, SST Yau, Phylogenetic analysis of protein sequences based on a novel k-mer natural vector method, Genomics, 111(6), 1298-1305 (2019)
  • [127] H Chen, S Yau, H Zuo, Non-existence of negative weight derivations on positively graded Artinian algebras, Transactions of the American Mathematical Society, 372(4), 2493-2535 (2019)
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  • [257] SST Yau, R Du, L Jia, Special solutions to some Kolmogorov equations arising from cubic sensor problems (2007)
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  • [266] D Cai, SST Yau, Categorical clustering by converting associated information, International Journal of Computer Systems Science and Engineering, 3(4) (2006)
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  • [284] SST Yau, QL Zhang, A stepwise approximation of intractable spatial constraints in image queries (2003)
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  • [293] T Jiang, SST Yau, LY Yeh, Simple geometric characterization of supersolvable arrangements, The Rocky Mountain Journal of Mathematics, 31(1), 303-312 (2001)
  • [294] HS Luk, SST Yau, Bergman kernels on resolutions of isolated singularities, Mathematical research letters, 8(3), 303-320 (2001)
  • [295] J Wang, J Huang, SST Yau, Approximate nonlinear output regulation based on the universal approximation theorem, International Journal of Robust and Nonlinear Control: IFAC‐Affiliated (2000)
  • [296] MH Chiu, SST Yau, Y Yu, Z8-cyclic codes and quadratic residue codes, Advances in Applied Mathematics, 25(1), 12-33 (2000)
  • [297] X Wang, S Yau, J Huang, A study of tracking-differentiator, Proceedings of the 39th IEEE Conference on Decision and Control (2000)
  • [298] ST Yau, SST Yau, Real time solution of nonlinear filtering problem without memory I, Mathematical Research Letters, 7(6), 671-693 (2000)
  • [299] H Chen, C Seeley, SST Yau, Algebraic determination of isomorphism classes of the moduli algebras of${\tilde E}_6$singularities, Mathematische Annalen, 318, 637-666 (2000)
  • [300] WS Wong, SST Yau, The estimation algebra of nonlinear filtering systems, Mathematical control theory, 33-65 (1999)
  • [301] WS Wong, X Wu, SST Yau, Hessian matrix non-decomposition theorem, Mathematical Research Letters, 6(6), 663-673 (1999)
  • [302] T Bielecki, J Chen, EB Lin, S Yau, Wavelet representations of general signals, Nonlinear Analysis: Theory, Methods & Applications, 35(1), 125-141 (1999)
  • [303] T Jiang, SST Yau, Intersection lattices and topological structures of complements of arrangements in$\mathbb {CP}^2$, Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 26(2), 357-381 (1998)
  • [304] ST Yau, SST Yau, Finite Dimensional Filters with Nonlinear Drift, XI: Explicit Solution of the Generalized Kolmogorov Equation in Brockett–Mitter Program, Advances in Mathematics, 140(2), 156-189 (1998)
  • [305] HS Luk, SST Yau, Counterexample to boundary regularity of a strongly pseudoconvex CR submanifold: An addendum to the paper of Harvey-Lawson, arXiv (1998)
  • [306] ST Yau, SST Yau, Existence and decay estimates for time dependent parabolic equation with application to Duncan–Mortensen–Zakai equation, Asian Journal of Mathematics, 2(4), 1079-1150 (1998)
  • [307] HS Luk, SST Yau, Explicit construction of graph invariant for strongly pseudoconvex compact 3-dimensional rational CR manifolds, Compositio Mathematica, 114(1), 77-111 (1998)
  • [308] H Chen, HS Luk, S Yau, Explicit computation of generalized Hamming weights for some algebraic geometric codes, Advances in Applied Mathematics, 21(1), 124-145 (1998)
  • [309] J Chen, SST Yau, CW Leung, Finite-dimensional filters with nonlinear drift VIII: Classification of finite-dimensional estimation algebras of maximal rank with state-space dimension 4, SIAM journal on control and optimization, 35(4), 1132-1141 (1997)
  • [310] J Chen, SST Yau, Finite-Dimensional Filters with Nonlinear Drift VII: Mitter Conjecture and Structure of$\eta$, SIAM journal on control and optimization, 35(4), 1116-1131 (1997)
  • [311] A Rasoulian, SST Yau, Finite dimensional filters with non-linear drift IX Construction of finite dimensional estimation algebras of non-maximal rank, Systems & control letters, 30(2-3), 109-118 (1997)
  • [312] QL Zhang, SK Chang, SST Yau, An Experimental Result in Image Indexing Using GEP-2D Strings, Image Databases And Multi-Media Search, 127-146 (1997)
  • [313] T Jiang, SST Yau, Complement of arrangement of hyperplanes, Singularities and complex geometry (Beijing, 1994), 5, 93-104 (1997)
  • [314] HS Luk, SST Yau, Complete algebraic CR invariants of real codimension 3 strongly pseudoconvex CR manifold, Studies in Advanced Mathematics, 5, 175-182 (1997)
  • [315] J Chen, SST Yau, CW Leung, Finite-dimensional filters with nonlinear drift IV: Classification of finite-dimensional estimation algebras of maximal rank with state–space dimension 3, SIAM journal on control and optimization, 34(1), 179-198 (1996)
  • [316] J Chen, SST Yau, Finite-dimensional filters with nonlinear drift, VI: Linear structure of Ω, Mathematics of Control, Signals and Systems, 9(4), 370-385 (1996)
  • [317] YJ Xu, SST Yau, Micro-local characterization of quasi-homogeneous singularities, American Journal of Mathematics, 118(2), 389-399 (1996)
  • [318] YJ Xu, SST Yau, A sharp estimate of the number of integral points in a 4-dimensional tetrahedra., Journal für die reine und angewandte Mathematik (Crelles Journal), 1996, 473 … (1996)
  • [319] QL Zhang, SK Chang, SST Yau, A unified approach to iconic indexing, retrieval, and maintenance of spatial relationships in image databases, Journal of Visual Communication and Image Representation, 7(4), 307-324 (1996)
  • [320] SST Yau, A Rasoulian, The structure of/spl Omega/-matrix in nonlinear filters, Proceedings of 35th IEEE Conference on Decision and Control, 1, 1083-1087 (1996)
  • [321] HS Luk, SST Yau, Invariant Kohn-Rossi cohomology and obstruction to embedding of compact real (2n-1)-dimensional CR manifolds in CN, Journal of the Mathematical Society of Japan, 48(1), 61-68 (1996)
  • [322] QL Zhang, SK Chang, SST Yau, Iconic indexing and maintenance of spatial relationships in image databases, Multimedia Storage and Archiving Systems, 2916, 385-396 (1996)
  • [323] SST Yau, GQ Hu, Direct Method without the Riccati equation for a Linear Filtering System with Arbitrary Initial Conditions, IFAC Proceedings Volumes, 29(1), 3858-3863 (1996)
  • [324] H Chen, YJ Xu, SST Yau, Nonexistence of negative weight derivation of moduli algebras of weighted homogeneous singularities, Journal of Algebra, 172(2), 243-254 (1995)
  • [325] HS Luk, SST Yau, Invariants of strongly pseudoconvex CR manifolds, World Sci Publ (1995)
  • [326] SST Yau, Finite-dimensional filters with nonlinear drift. I: A class of filters including both Kalman-Bucy and Benes filters, J. Math. Systems, Estimation, and Control, 4, 181-203 (1994)
  • [327] WL Chiou, SST Yau, Finite-dimensional filters with nonlinear drift. II: Brockett’s problem on classification of finite-dimensional estimation algebras, SIAM journal on control and optimization, 32(1), 297-310 (1994)
  • [328] T Jiang, SST Yau, Diffeomorphic types of the complements of arrangements of hyperplanes, Compositio mathematica, 92(2), 133-155 (1994)
  • [329] HS Luk, SST Yau, Y Yu, Algebraic Classification and Obstructions to Embedding of Strongly Pseudoconvex Compact 3‐dimensional CR Manifolds in C, Mathematische Nachrichten, 170(1), 183-200 (1994)
  • [330] T Bielecki, J Chen, SST Yau, Random wavelet transformation and its properties, Wavelet Applications in Signal and Image Processing II, 2303, 345-353 (1994)
  • [331] SST Yau, Y Yu, Gorenstein quotient singularities in dimension three, 1993, Memoirs of the American Mathematical Society, 110(530), 505-505 (1994)
  • [332] SST Yau, Y Yu, Gorenstein quotient singularities in dimension three, American Mathematical Soc. (1993)
  • [333] YJ Xu, SST Yau, Durfee conjecture and coordinate free characterization of homogeneous singularities, Journal of Differential Geometry, 37(2), 375-396 (1993)
  • [334] T Jiang, SST Yau, Topological invariance of intersection lattices of arrangements in 𝐂𝐏², Bulletin of the American Mathematical Society, 29(1), 88-93 (1993)
  • [335] SST Yau, Y Yu, GORENSTEIN QUOTIENT SINGULARITIES IN DIMENSION-3, Memoirs of the American Mathematical Society, 105(505), 1-88 (1993)
  • [336] T Bielecki, J Chen, S Yau, EB Lin, Wavelet and wavelet Stieltjes transforms, Proceedings of 32nd IEEE Conference on Decision and Control, 3062-3063 (1993)
  • [337] HS Luk, SST Yau, COHOMOLOGY AND SPLITTING CRITERION FOR HOLOMORPHIC VECTOR-BUNDLES ON CPN, MATHEMATISCHE NACHRICHTEN, 161, 233-238 (1993)
  • [338] J Chen, CW Leung, S Yau, The classification of low dimensional estimation algebras, Proceedings of 32nd IEEE Conference on Decision and Control, 732-734 (1993)
  • [339] YJ Xu, SST Yau, A sharp estimate of the number of integral points in a tetrahedron., Journal für die reine und angewandte Mathematik (Crelles Journal), 1992, 423 … (1992)
  • [340] J Sampson, SST Yau, Y Yu, Classification of gradient space as sℓ (2, C) module I, American Journal of Mathematics, 1147-1161 (1992)
  • [341] Y Xu, SST Yau, Topological types of seven classes of isolated singularities with C*-action, The Rocky Mountain Journal of Mathematics, 22(3), 1147-1215 (1992)
  • [342] A Libgober, S Yau, An obstruction to smoothing of Gorenstein surface singularities, Commentarii Mathematici Helvetici, 67, 670-670 (1992)
  • [343] RT Dong, LF Tam, WS Wong, SST Yau, Structure and classification theorems of finite-dimensional exact estimation algebras, SIAM journal on control and optimization, 29(4), 866-877 (1991)
  • [344] SST Yau, Solvability of Lie algebras arising from isolated singularities and nonisolatedness of singularities defined by sℓ (2, C) invariant polynomials, American Journal of Mathematics, 773-778 (1991)
  • [345] SST Yau, A remark on moduli of complex hypersurfaces, American Journal of Mathematics, 287-292 (1991)
  • [346] S Bloch, IV Dolgachev, W Fulton, C Seeley, SST Yau, Algebraic methods in the study of simple-elliptic singularities, Algebraic Geometry (1991)
  • [347] SST Yau, Regularity for the Harvey-Lawson solutions to the complex Plateau problem, Journal of Differential Geometry, 34(2), 425-429 (1991)
  • [348] LF Tam, WS Wong, SST Yau, On a necessary and sufficient condition for finite dimensionality of estimation algebras, SIAM journal on control and optimization, 28(1), 173-185 (1990)
  • [349] C Seeley, SST Yau, Variation of complex structures and variation of Lie algebras, Inventiones mathematicae, 99, 545-565 (1990)
  • [350] M Benson, SST Yau, Equivalences between isolated hypersurface singularities, Mathematische Annalen, 287(1), 107-134 (1990)
  • [351] A Libgober, SST Yau, An obstruction for smoothing of Gorenstein surface singularities, Commentarii Mathematici Helvetici, 65, 413-433 (1990)
  • [352] Rome Air Development Center, SST Yau, Knowledge Based Quality Assurance Tools, Air Force Systems Command (1990)
  • [353] Y Xu, SST Yau, Classification of topological types of isolated quasi-homogeneous two dimensional hypersurface singularities, manuscripta mathematica, 64(4), 445-469 (1989)
  • [354] SST Yau, The multiplicity of isolated two-dimensional hypersurface singularities: Zariski problem, American Journal of Mathematics, 753-767 (1989)
  • [355] YJ Xu, SST Yau, THE INEQUALITY μ> 12p− 4 FOR HYPERSURFACE g WEAKLY ELLIPTIC SINGULARITIES, Singularities: Proceedings of the IMA Participating Institutions Conference (1989)
  • [356] SST Yau, Topological types and multiplicities of isolated quasi-homogeneous surface singularities (1988)
  • [357] SST Yau, Classification of Jacobian Ideals Invariant by$sl(2, \ \mathbf {C})$Actions, American Mathematical Soc. (1988)
  • [358] SST Yau, Classification of Jacobian ideals invariant by sl (2, C) actions, (No Title) (1988)
  • [359] HB Lawson, SST Yau, Holomorphic symmetries, Annales scientifiques de l'École Normale Supérieure, 20(4), 557-577 (1987)
  • [360] SST Yau, Solvable Lie algebras and generalized Cartan matrices arising from isolated singularities, Mathematische Zeitschrift, 191(4), 489-506 (1986)
  • [361] M Benson, SST Yau, Lie algebra and their representations arising from isolated singularities: Computer method in calculating the Lie algebras and their cohomology, Advance studies in Pure Mathematics, 8, 3-58 (1986)
  • [362] SST Yau, Singularities Defined by sℓ (2, C) Invariant Polynomials and Solvability of Lie Algebras Arising From Isolated Singularities, American Journal of Mathematics, 1215-1239 (1986)
  • [363] IM Singer, B Wong, ST Yau, SST Yau, An estimate of the gap of the first two eigenvalues in the Schrödinger operator, Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 12(2), 319-333 (1985)
  • [364] SST Yau, Criteria for right-left equivalence and right equivalence of holomorphic functions with isolated critical points, Proceedings of Symposia in Pure Mathematics, 41, 291-297 (1984)
  • [365] SST Yau, Continuous family of finite-dimensional representations of a solvable Lie algebra arising from singularities, Proceedings of the National Academy of Sciences, 80(24), 7694-7696 (1983)
  • [366] SST Yau, Milnor algebras and equivalence relations among holomorphic functions (1983)
  • [367] SST Yau, On irregularity and geometric genus of isolated singularities, Proe. Symp. Pure Math, 40(Part 2) (1983)
  • [368] JN Mather, SST Yau, Classification of isolated hypersurface singularities by their moduli algebras, Inventiones mathematicae, 69(2), 243-251 (1982)
  • [369] SST Yau, Various numerical invariants for isolated singularities, American Journal of Mathematics, 1063-1100 (1982)
  • [370] SST Yau, sInvariant for Isolated n-Dimensional Singularities and Its Application to Moduli Problem, American Journal of Mathematics, 829-841 (1982)
  • [371] SST Yau, Kohn-Rossi cohomology and its application to the complex Plateau problem, I, Annals of Mathematics, 67-110 (1981)
  • [372] JN Mather, SST Yau, Criterion for biholomorphic equivalence of isolated hypersurface singularities, Proceedings of the National Academy of Sciences, 78(10), 5946-5947 (1981)
  • [373] SST Yau, Sheaf cohomology on 1-convex manifolds, Ann. of Math. Stud, 100 (1981)
  • [374] SST Yau, Existence of$L2$-integrable holomorphic forms and lower estimates of$TV1$ (1981)
  • [375] SST Yau, Deformations and equitopological deformations of strongly pseudoconvex manifolds, Nagoya Mathematical Journal, 82, 113-129 (1981)
  • [376] SST Yau, On maximally elliptic singularities, Transactions of the American Mathematical Society, 257(2), 269-329 (1980)
  • [377] SST Yau, Index theory for the boundaries of complex analytic varieties, Proceedings of the National Academy of Sciences, 77(3), 1248-1249 (1980)
  • [378] SST Yau, On strongly elliptic singularities, American Journal of Mathematics, 101(4), 855-884 (1979)
  • [379] SST Yau, Hypersurface weighted dual graphs of normal singularities of surfaces, American Journal of Mathematics, 101(4), 761-812 (1979)
  • [380] SST Yau, Normal two-dimensional elliptic singularities, Transactions of the American Mathematical Society, 254, 117-134 (1979)
  • [381] SST Yau, Gorenstein singularities with geometric genus equal to two, American Journal of Mathematics, 101(4), 813-854 (1979)
  • [382] SST Yau, The signature of Milnor fibres and duality theorem for strongly pseudoconvex manifolds, Inventiones mathematicae, 46(1), 81-97 (1978)
  • [383] SST Yau, Normal singularities of surfaces, Proc. Sympos. Pure Math, 32, 195-198 (1978)
  • [384] SST Yau, Two theorems on higher dimensional singularities, Mathematische Annalen, 231(1), 55-59 (1977)
  • [385] SST Yau, On almost minimally elliptic singularities (1977)
  • [386] JM Garnett III, A Ben-Israel, SS Yau, A hyperpower iterative method for computing matrix products involving the generalized inverse, SIAM Journal on Numerical Analysis, 8(1), 104-109 (1971)
  • [387] SL Hakimi, SS Yau, Distance matrix of a graph and its realizability, Quarterly of applied mathematics, 22(4), 305-317 (1965)
  • [388] 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
  • [389] S Yau, H Zuo, Recent results on rigidity of CR morphisms between compact strongly pseudoconvex CR manifolds, ALM, 36, 173-197
  • [390] X Luo, SST Yau, Hermite spectral method to 1D forward Kolmogorov equation and its application to nonlinear filtering problems, unpublished, available online
  • [391] STY Stephen, X Chen, X Jiao, J Kang, Z Sun, Y Tao, Principles of Nonlinear Filtering Theory,

 

更新时间: 2025-08-13 08:00:07