SY
Stephen S. -T. Yau
math.AGnatural vectorPhylogenyAlgorithmsNatural vectorSARS-CoV-2ClassificationCOVID-19HIV-1Computational Biology
On Valency
published · living versionsW_4qrz9dbq·v1 · currentpublished
Jacobian layers and higher Milnor sequences: rigidity, stabilization, and log-concavity
with Zhiwen Liu, Mingyi Zhang
1 version
W_embzkx9g·v1published
W_jjhbx9eg·v1published
Preprints & journals
119 papers in the corpus · 1980–2026Non-existence of negative weight derivations on Jacobian algebras2610.25615v1 · Bingyi Chen, Zhiwen Liu, Stephen S.-T. Yau et al.2026 · 0 citationsarXivon Valency
Pellarin Values from Cauchy Coordinates on Arbitrary Curves2610.26191v1 · Chuangqiang Hu, Stephen S.-T. Yau, Lishan Yu2026 · 0 citationsarXivon Valency
Yau's number-theoretic conjecture and sharp spectral bounds for quantum harmonic oscillators2610.17704v1 · Zhiwen Liu, Stephen S.-T. Yau, Hao Zuo2026 · 0 citationsarXiv
Pellarin's Identity, Carlitz Period, and Anderson Generating Functions over Arbitrary Curves2610.03134v1 · Chuangqiang Hu, Stephen S.-T. Yau, Lishan Yu2026 · 0 citationsarXiv
Primitive GLMY Homology: An Algebraic Topology Approach for the Quantitative Characterization of Graph Pangenomes toward Population Genetic Analysis10.64898/2026.07.10.737687v1 · Wu, Q., Li, J., Hu, G. et al.2026 · 0 citationsbioRxiv
Nonlinear Bayesian Filtering With Natural Gradient Gaussian Approximation.41824332 · Cao, Wenhan, Zhang, Tianyi, Sun, Zeju et al.2026 · 3 citationsIEEE transactions on pattern analysis and machine intelligence. 2026;48(7):8581-8597
Multi-Perspective Natural Vector: A Novel Method for Viral Sequence Feature Extraction.41355777 · Shi, Xiang, Kang, Jiayi, Sun, Nan et al.2025 · 1 citationJournal of computational biology : a journal of computational molecular cell biology. 2025
Constructing the ensemble of representative structures for a protein via neural-surrogate-guided MSA recombination10.64898/2026.01.14.699462v1 · Zhou, H., Yu, H., Yau, S. S.- T. et al.2026 · 1 citationbioRxiv
Statistical learning of stochastic complex systems via the Yau-Yau nonlinear filter.42254969 · Xu, Shuyuan, Wang, Yu, Wu, Shuang et al.2026 · 0 citationsInnovation (Cambridge (Mass.)). 2026;7(6):101267
Exploring potential transcription factors and their regulatory relationships based on asymmetric covariance natural vector encoding method and machine learning algorithms.41662352 · Hu, Guoqing, Sang, Mengmeng, Wang, Hao et al.2026 · 1 citationBriefings in bioinformatics. 2026;27(1)
Reconstruction of masked sequences via inverse mapping of incomplete information natural vectors.41059407 · Ding, Patrick, Hu, Guoqing, Yu, Hongyu et al.2025 · 0 citationsPeerJ. 2025;13:e20126
Regularity estimate and sparse approximation of pathwise robust Duncan-Mortensen-Zakai equation2509.19093v1 · Yuhua Meng, Zhongjian Wang, Stephen S.T. Yau et al.2025 · 0 citationsarXiv
Interpretable Data Mining of Follicular Thyroid Cancer Ultrasound Features Using Enhanced Association Rules2509.12238v1 · Songlin Zhou, Tao Zhou, Xin Li et al.2025 · 1 citationarXiv
Energy entropy vector: a novel approach for efficient microbial genomic sequence analysis and classification.40914969 · Wang, Hao, Hu, Guoqing, Yau, Stephen S-T2025 · 0 citationsBriefings in bioinformatics. 2025;26(5)
Computing singular simplicial homologies of digraphs and quivers2509.02065v2 · Matthew Burfitt, Jie Wu, Stephen S.-T. Yau et al.2025 · 0 citationsarXiv
A new alignment-free method: K-mer Subsequence Natural Vector (K-mer SNV) for classification of fungi.40634897 · He, Lily, Huang, Mochao, Yiming, Gulinisha et al.2025 · 3 citationsBMC bioinformatics. 2025;26(1):170
Yau-YauAL: A computer tool for solving nonlinear filtering problems2506.08976v2 · Yu Wang, Shuyuan Xu, Xueda Wei et al.2025 · 1 citationarXiv
Novel natural vector with asymmetric covariance for classifying biological sequences.40367998 · Hu, Guoqing, Zhou, Tao, Zhou, Piyu et al.2025 · 1 citationGene. 2025;962:149532
The grand biological universe: A comprehensive geometric construction of genome space.40814350 · Yu, Hongyu, Sun, Nan, Ren, Ruohan et al.2025 · 1 citationInnovation (Cambridge (Mass.)). 2025;6(8):100937
Normal surface singularities of small degrees2412.11406v1 · Stephen S.-T. Yau, Hao Zuo, Huaiqing Zuo2024 · 1 citationarXiv
Groupoids derived from the simple elliptic singularities2410.10124v1 · Chuangqiang Hu, Stephen S.-T. Yau, Huaiqing Zuo2024 · 0 citationsarXiv
On the -th Tjurina number of weighted homogeneous singularities2409.09384v4 · Chuangqiang Hu, Stephen S.-T. Yau, Huaiqing Zuo2024 · 0 citationsarXiv
CAPE: a deep learning framework with Chaos-Attention net for Promoter Evolution.39120645 · Ren, Ruohan, Yu, Hongyu, Teng, Jiahao et al.2024 · 9 citationsBriefings in bioinformatics. 2024;25(5)
Exploring geometry of genome space via Grassmann manifolds.39206218 · Li, Xiaoguang, Zhou, Tao, Feng, Xingdong et al.2024 · 5 citationsInnovation (Cambridge (Mass.)). 2024;5(5):100677
New Virus Variant Detection Based on the Optimal Natural Metric.39062670 · Yu, Hongyu, Yau, Stephen S-T2024 · 0 citationsGenes. 2024;15(7)
Neural Projection Filter: Learning Unknown Dynamics Driven by Noisy Observations.37018644 · Tao, Yangtianze, Kang, Jiayi, Yau, Stephen Shing-Toung2024 · 8 citationsIEEE transactions on neural networks and learning systems. 2024;35(7):9508-9522
On the Convergence Analysis of Yau-Yau Nonlinear Filtering Algorithm: from a Probabilistic Perspective2405.06162v1 · Zeju Sun, Xiuqiong Chen, Stephen S.-T. Yau2024 · 0 citationsarXiv
The optimal metric for viral genome space.38803517 · Yu, Hongyu, Yau, Stephen S-T2024 · 7 citationsComputational and structural biotechnology journal. 2024;23:2083-2096
Convolutional Bayesian Filtering2404.00481v1 · Wenhan Cao, Shiqi Liu, Chang Liu et al.2024 · 0 citationsarXiv
Automated recognition of chromosome fusion using an alignment-free natural vector method.38572414 · Yu, Hongyu, Yau, Stephen S-T2024 · 2 citationsFrontiers in genetics. 2024;15:1364951
Geometric analysis of SARS-CoV-2 variants.38417688 · Guan, Mengcen, Sun, Nan, Yau, Stephen S-T2024 · 3 citationsGene. 2024;909:148291
Editorial: Omics-based novel computational methods revealing microbe-disease associations.37965254 · Yau, Stephen S-T, Wu, Qi2023 · 0 citationsFrontiers in cellular and infection microbiology. 2023;13:1305902
Maximum Correntropy Ensemble Kalman Filter2308.08727v1 · Yangtianze Tao, Jiayi Kang, Stephen Shing-Toung Yau2023 · 2 citationsarXiv
Quantitative proteomics profiling reveals the inhibition of trastuzumab antitumor efficacy by phosphorylated RPS6 in gastric carcinoma.37507485 · Hu, Chun-Ting, Pei, Shao-Jun, Wang, Jing-Long et al.2023 · 1 citationCancer chemotherapy and pharmacology. 2023;92(5):341-355
Grand Biological Universe: Genome space geometry unravels looking for a single metric is likely to be futile in evolution10.1101/2023.07.08.548189v1 · Sun, N., Yu, H., Ren, R. et al.2023 · 1 citationbioRxiv
Utilizing the codon adaptation index to evaluate the susceptibility to HIV-1 and SARS-CoV-2 related coronaviruses in possible target cells in humans.36760235 · Zhou, Haoyu, Ren, Ruohan, Yau, Stephen Shing-Toung2023 · 11 citationsFrontiers in cellular and infection microbiology. 2022;12:1085397
Generating Minimal Models of H1N1 NS1 Gene Sequences Using Alignment-Based and Alignment-Free Algorithms.36672928 · Fang, Meng, Xu, Jiawei, Sun, Nan et al.2023 · 1 citationGenes. 2023;14(1)
In-depth investigation of the point mutation pattern of HIV-1.36457853 · Sun, Nan, Yau, Stephen S-T2022 · 9 citationsFrontiers in cellular and infection microbiology. 2022;12:1033481
Classification of Protein Sequences by a Novel Alignment-Free Method on Bacterial and Virus Families.36292629 · Guan, Mengcen, Zhao, Leqi, Yau, Stephen S-T2022 · 4 citationsGenes. 2022;13(10)
An efficient numerical representation of genome sequence: natural vector with covariance component.35729905 · Sun, Nan, Zhao, Xin, Yau, Stephen S-T2023 · 9 citationsPeerJ. 2022;10:e13544
kmer2vec: A Novel Method for Comparing DNA Sequences by word2vec Embedding.35593919 · Ren, Ruohan, Yin, Changchuan, S-T Yau, Stephen2022 · 43 citationsJournal of computational biology : a journal of computational molecular cell biology. 2022;29(9):1001-1021
New Genome Sequence Detection via Natural Vector Convex Hull Method.33237867 · Zhao, Ruzhang, Pei, Shaojun, Yau, Stephen Shing-Toung2022 · 14 citationsIEEE/ACM transactions on computational biology and bioinformatics. 2022;19(3):1782-1793
Full Chromosomal Relationships Between Populations and the Origin of Humans.35186019 · Dong, Rui, Pei, Shaojun, Guan, Mengcen et al.2022 · 3 citationsFrontiers in genetics. 2021;12:828805
Identification of HIV Rapid Mutations Using Differences in Nucleotide Distribution over Time.35205215 · Sun, Nan, Yang, Jie, Yau, Stephen S-T2022 · 4 citationsGenes. 2022;13(2)
Biomolecular Topology: Modelling and Analysis.36407804 · Liu, Jian, Xia, Ke-Lin, Wu, Jie et al.2024 · 7 citationsActa mathematica Sinica, English series. 2022;38(10):1901-1938
Inverted repeats in coronavirus SARS-CoV-2 genome manifest the evolution events.34478743 · Yin, Changchuan, Yau, Stephen S-T2021 · 6 citationsJournal of theoretical biology. 2021;530:110885
Geometric construction of viral genome space and its applications.34429843 · Sun, Nan, Pei, Shaojun, He, Lily et al.2021 · 24 citationsComputational and structural biotechnology journal. 2021;19:4226-4234
Analysis of the Genomic Distance Between Bat Coronavirus RaTG13 and SARS-CoV-2 Reveals Multiple Origins of COVID-19.33897081 · Pei, Shaojun, Yau, Stephen S-T2022 · 10 citationsActa mathematica scientia = Shu xue wu li xue bao. 2021;41(3):1017-1022
Nasopharyngeal carcinoma MHC region deep sequencing identifies HLA and novel non-HLA TRIM31 and TRIM39 loci.33311639 · Ning, Lvwen, Ko, Josephine Mun-Yee, Yu, Valen Zhuoyou et al.2021 · 33 citationsCommunications biology. 2020;3(1):759
Amino acid torsion angles enable prediction of protein fold classification.33303802 · Tian, Kun, Zhao, Xin, Wan, Xiaogeng et al.2021 · 13 citationsScientific reports. 2020;10(1):21773
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