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AN INEQUALITY CONJECTURE AND A WEAK TORELLI-TYPE THEOREM FOR ISOLATED COMPLETE INTERSECTION SINGULARITIES (with Naveed Hussain and Huaiqing Zuo), (to appear), Journal of Geometry and Physics, 2022. Optimal Transportation Particle Filter for Linear Filtering Systems with Correlated Noises (with Jiayi Kang, Xiuqiong Chen and Yangtianze Tao), (to appear), IEEE Transactions on Aerospace and Electronic Systems, 2022. Nucleotide Amino Acid K-mer Vector: An alignment-free method for comparing genomic sequences (with Xiaona Bao, Lily He and Jingan Cui), (to appear), Communications in Information and Systems, 2022. kmer2vec: a novel method for comparing DNA sequences by word2vec embedding (with Ruohan Ren and Changchuan Yin), (to appear), Journal of Computational Biology, 2022. Non-existence of negative weighted derivations of the local 1-st Hessian algebra of singularities (with Shuanghe Fan and Huaiqing Zuo), (to appear), Asian Journal of Mathematics, 2022. Recurrent Neural Networks are Universal Approximators with Stochastic Inputs (with Xiuqiong Chen, Yangtianze Tao and Wenjie Xu), (to appear), IEEE Transactions on Neural Networks and Learning Systems, 2022. Generalized Cartan matrices associated to k-th Yau algebras of singularities and Characterization theorem (with Naveed Hussain and Huaiqing Zuo), (to appear), Algebras and Representation Theory, 2022. Derivations of local k-th Hessain algebras of singularities (with Naveed Hussain and Huaiqing Zuo), (to appear), Rocky Mountain Journal of Mathematics, 2022. CLASSIFICATION OF THE NILRADICAL OF k-TH YAU ALGEBRAS ARISING FROM SINGULARITIES (with Naveed Hussain and Huaiqing Zuo), (to appear), Pure and Applied Mathematics Quarterly, 2022. General Convergence Result for Continuous-Discrete Feedback Particle Filter (with Xiuqiong Chen, Xue Luo and Ji Shi), (to appear), International Journal of Control, 2022. On variation of complex structures and variation of new Lie algebras arising from singularities (with Bingyi Chen, Naveed Hussain and Huaiqing Zuo), (to appear), Proceedings of the International Congress of Chinese Mathematicians, 2022. Geometric nilpotent Lie algebras and zero dimensional simple complete intersection singularities (with Naveed Hussain and Huaiqing Zuo), (to appear), Forum Mathematicum, 2022. New Genome Sequence Detection via Natural Vector Convex Hull Method (with Ruzhang Zhao and Shaojun Pei), (to appear), IEEE/ACM Transactions on Computational Biology and Bioinformatics, 2022. Bergman functions and the equivalence problem of singular domains (with Bingyi Chen), (to appear), Communications in Analysis and Geometry, 2022. Kohn-Rossi Cohomology and Complex Plateau Problem (with Xiankui Meng), (to appear), Pure and Applied Mathematics Quarterly, 2022. Structure of finite dimensional exact estimation algebra on state dimension 3 and linear rank 2 (with Xiaopei Jiao), (to appear), International Journal of Control, 2022. Complex structures of a twenty dimensional family of Calabi-Yau 3-folds (with Chuangqiang Hu and Huaiqing Zuo), (to appear), Communications in Analysis and Geometry, 2022. NEW k-TH YAU ALGEBRAS OF ISOLATED HYPERSURFACE SINGULARITIES AND WEAK TORELLI-TYPE THEOREM (with Naveed Hussain and Huaiqing Zuo), (to appear), Mathematical Research Letters, 2022. Rigidity of CR morphisms (with Xiankui Meng), Pacific Journal of Mathematics, Vol. 316, No. 1 (2022), 207-216. Full chromosomal relationships between populations and the origin of humans (with Rui Dong, Shaojun Pei, Mengcen Guan, Shek-Chung Yau, Changchuan Yin and Rong L He), Frontiers in Genetics, Vol. 12 (2022), 1-10. Identification of HIV rapid mutations using differences in nucleotide distribution over time (with Nan Sun and Jie Yang), genes, Vol. 13, No. 170 (2022), 1-15. Determination of the nucleotide or amino acid composition of genome or protein sequences by using natural vector method and convex hull principle (with Xiaopei Jiao*, Shaojun Pei*, Zeju Sun and Jiayi Kang), Fundamental Research, Vol. 1 (2021), 559-564. A New Linear Regression Kalman Filter with Symmetric Samples (with Xiuqiong Chen*, Jiayi Kang* and Mina Teicher), Symmetry, Vol. 13, No. 11 (2021), 1-13. ON THE DIMENSION OF A NEW CLASS OF DERIVATION LIE ALGEBRAS ASSOCIATED TO SINGULARITIES (with Naveed Hussain and Huaiqing Zuo), Mathematics, Vol. 9, No. 14 (2021) 1-15. Inverted Repeats in Coronavirus SARS-CoV-2 Genome and Implications in Evolution (with Changchuan Yin), Communications in Information and Systems, Vol. 21, No. 1 (2021), 125- 145. A Novel Real-Time Filtering Method to General Nonlinear Filtering Problem Without Memory (with Ji Shi* and Xiuqiong Chen*), IEEE Access, Vol. 9 (2021), 119343-119352. Derivation Lie Algebras of New k-TH Local Algebras of Isolated Hypersurface Singularities (with Naveed Hussain and Huaiqing Zuo), Pacific Journal of Mathematics, Vol. 314, No. 2 (2021), 311-331. Geometric construction of viral genome space and its applications (with Nan Sun*, Shaojun Pei*, Lily He, Changchuan Yin, Rong Lucy He), Computational and Structural Biotechnology Journal, Vol. 19 (2021), 4226-4234. Inequality conjectures on derivations of local k-th Hessain algebras associated to isolated hypersurface singularities (with Naveed Hussain and Huaiqing Zuo), Mathematische Zeitschrift, Vol. 298 (2021), 1813-1829. On the Generalized Cartan Matrices Arising from k-th Yau Algebras of Isolated Hypersurface Singularities (with Naveed Hussain and Huaiqing Zuo), Algebras and Representation Theory, Vol. 24 (2021), 1101-1124. On two inequality conjectures for the k-th Yau numbers of isolated hypersurface singularities (with Naveed Hussain, and Huaiqing Zuo), Geometriae Dedicata, Vol. 212 (2021), 57-71. Analysis of the Genomic Distance between Bat Coronavirus RaTG13 and SARS-COV-2 Reveals Multiple Origins of Covid-19 (with Shaojun Pei), Acta Mathematica Scientia, Vol. 41, No. 3 (2021), 1017-1022. kth Yau number of isolated hypersurface singularities and an inequality conjecture (with Naveed Hussain and Huaiqing Zuo), Journal of the Australian Mathematical Society, Vol. 110 (2021), 94-118. The novel classes of finite dimensional filters with non-maximal rank estimation algebra on state dimension four and rank of one (with Wenhui Dong, and Xiuqiong Chen), International Journal of Control, Vol. 94, No. 5 (2021), 1156-1165. 4D N = 2 SCFT and singularity theory part IV: isolated rational Gorenstein non-complete intersection singularities with at least one-dimensional deformation and nontrivial T2 (with Bingyi Chen, Shing-Tung Yau and Huaiqing Zuo), Mathematical Research Letters, Vol. 28, No. 1 (2021), 1-23. Solving Nonlinear Filtering Problems in Realtime by Legendre Galerkin Spectral Method (with Wenhui Dong and Xue Luo), IEEE Transactions on Automatic Control, Vol. 66, No. 4 (2021), 1559-1572. Amino acid torsion angles enable prediction of protein fold classification (with Kun Tian* and Xin Zhao*), Scientific Reports, 10:21733, 2020, 1-8. Classification of genomic components and prediction of genes of Begomovirus based on subsequence natural vector and support vector machine (with Shaojun Pei, Rui Dong, Yiming Bao and Rong He), Peer J, DOI 10.7717/peerj.9625, 2020, 1-15. Novel Classification of Finite Dimensional Filters with Non-maximal Rank Estimation Algebra (with Wenhui Dong and Xiuqiong Chen), The Proceedings of 2020 American Control Conference, Denver, CO, USA, July 1-3, 2020, 3349- 3354. A new method based on coding sequence density to cluster bacteria (with Nan Sun, Rui Dong, Shaojun Pei and Changchuan Yin), Journal of Computational Biology, Vol. 27, No. 12 (2020), 1688-1698. Recent results on k-th Yau algebras over simple elliptic singularities E6 (with Chuangqiang Hu and Huaiqing Zuo), Surveys in Differential Geometry, Vol. 23 (2020), 213-240. Weight Enumerators for Nonbinary Asymmetric Quantum Codes and Their Applications (with Chuangqiang Hu and Shudi Yang), Advances in Applied Mathematics, Vol. 121 (2020), 1-29. New classes of finite dimensional filters with non-maximal rank estimation algebra on state dimension N and linear rank N-2 (with Xiaopei Jiao), SIAM Journal on Control and Optimization, Vol. 58, No. 6 (2020), 3413-3427. On the non-existence of negative weight derivations of the new moduli algebras of singularities (with Guorui Ma and Huaiqing Zuo), Journal of Algebra, Vol. 564 (2020), 199-246. A novel numerical representation for proteins: three-dimensional Chaos Game Representation and its Extended Natural Vector (with Zeju Sun*, Shaojun Pei* and Rong Lucy He), Computational and Structural Biotechnology Journal, Vol. 18 (2020), 1904-1913. Finite dimensional estimation algebras with state dimension 3 and rank 2, Mitter conjecture (with Ji Shi), International Journal of Control, Vol. 93, No. 9 (2020), 2177-2186. Positional Correlation Natural Vector: A Novel Method for Genome Comparison (with Lily He, Rui Dong and Rong Lucy He), International Journal of Molecular Sciences, Vol. 21:3859 (2020), 1-19. Analysis of the hosts and transmission paths of SARS-CoV-2 in the COVID-19 outbreak (with Rui Dong*, Shaojun Pei*, Changchuan Yin and Rong Lucy He), Genes, Vol. 11:637 (2020), 1-16. A novel alignment-free method for HIV-1 subtype classification (with Lily He*, Rui Dong* and Rong Lucy He), Infection, Genetics and Evolution, Vol. 77 (2020), 1-11. A Novel Image Description with the Stretched Natural Vector Method: Application to Face Recognition (with Wenhui Dong), IEEE Access, Vol. 8 (2020), 100084-100094. Variation of complex structures and variation of Lie algebras II: new Lie algebras arising from singularities (with Bingyi Chen, Naveed Hussain and Huaiqing Zuo), Journal of Differential Geometry, Vol. 115, No. 3 (2020), 437-473. The Non-existence of Negative Weight Derivations on Positive Dimensional Isolated Singularities: Generalized Wahl Conjecture (with Bingyi Chen, Hao Chen and Huaiqing Zuo), Journal of Differential Geometry, Vol. 115, No. 2 (2020), 195-224. Proper orthogonal decomposition method to nonlinear filtering problems in medium-high dimension (with Zhongjian Wang*, Xue Luo* and Zhiwen Zhang), IEEE Transactions on Automatic Control, Vol. 65, No. 4 (2020), 1613-1624. On classification of toric surface codes of dimension seven (with Naveed Hussain, Xue Luo, Mingyi Zhang and Huaiqing Zuo), Communications in Analysis and Geometry, Vol. 28, No. 4 (2020), 263-319. Generalized Cartan matrices arising from new derivation Lie algebras of isolated hypersurface singularities (with Naveed Hussain and Huaiqing Zuo), Pacific Journal of Mathematics, Vol. 305, No. 1 (2020), 189-217. Splice sites detection using chaos game representation and neural network (with Tung Hoang and Changchuan Yin), Genomics, Vol. 112, No. 2 (2020), 1847-1852. On the new k-th Yau algebras of isolated hypersurface singularities (with Naveed Hussain and Huaiqing Zuo), Mathematische Zeitschrift, Vol. 294 (2020), 331-358. Fast and accurate genome comparison using genome images: The Extended Natural Vector Method (with Shaojun Pei*, Wenhui Dong*, Xiuqiong Chen and Rong Lucy He), Molecular Phylogenetics and Evolution, Vol. 141 (2019), 1-7. A Novel Approach to Clustering Genome Sequences Using Inter-Nucleotide Covariance (with Rui Dong, Lily He and Rong Lucy He), Frontiers in Genetics, section Bioinformatics and Computational Biology, Vol. 10 (2019), 1-12. Convex hull principle for classification and phylogeny of eukaryotic proteins (with Xin Zhao*, Kun Tian* and Rong L. He), Genomics, Vol. 111, No. 6 (2019), 1777-1784. Phylogenetic analysis of protein sequences based on a novel k-mer natural vector method (with Yuyan Zhang, and Jia Wen), Genomics, Vol. 111, No. 6 (2019), 1298-1305. High Order Linear Extended State Observer and Error Analysis of Active Disturbance Rejection Control (with Ji Shi and Xiuqiong Chen), Asian Journal of Mathematics, Vol. 23, No. 4 (2019), 631-650. Comparing protein structures and inferring functions with a novel three-dimensional Yau-Hausdorff method (with Kun Tian*, Xin Zhao* and Yuning Zhang), Journal of Biomolecular Structure and Dynamics, Vol. 37, No. 16 (2019), 4151-4160. Large-scale genome comparison based on cumulative Fourier power and phase spectra: central moment and covariance vector (with Shaojun Pei, Rui Dong and Rong Lucy He), Computational and Structural Biotechnology Journal, Vol. 17 (2019), 982-994. Complete Weight Distributions and MacWilliams Identities for Asymmetric Quantum Codes (with Chuangqiang Hu, and Shudi Yang), IEEE Access, Vol. 7 (2019), 68404-68414. Protein sequence classification using natural vector and convex hull method (with Yi Wang and Kun Tian), Journal of Computational Biology, Vol. 26, No. 4 (2019), 315-321. Non-existence of negative weight derivations on positively graded Artinian algebras (with Hao Chen and Huaiqing Zuo), Transactions of the American Mathematical Society, Vol. 372, No. 4 (2019), 2493-2535. Virus classification based on Q-vectors (with Hui Zheng, Jie Yang and Rong L. He), Communications in Information and Systems, Vol. 19, No. 1 (2019), 81-94. Whole genome single nucleotide polymorphism genotyping of Staphylococcus aureus (with Changchuan Yin), Communications in Information and Systems, Vol. 19, No. 1 (2019), 57-80. Assessment of kmer degeneration method for complicated genomes (with Shuai Liu*, Shaojun Pei* and Qi Wu), Communications in Information and Systems, Vol. 19, No. 1 (2019), 17-35. Kohn-Rossi cohomology and nonexistence of CR morphisms between compact strongly pseudoconvex CR manifolds (with Huaiqing Zuo), Journal of Differential Geometry, Vol. 111 (2019), 567-580. Real-time Solution of Time-varying Yau Filtering Problems via Direct Method and Gaussian Approximation (with Xiuqiong Chen and Ji Shi), IEEE Transactions on Automatic Control, Vol. 64, No. 4 (2019), 1648-1654. A new efficient method for analyzing fungi species using correlations between nucleotides (with Xin Zhao and Kun Tian), BMC Evolutionary Biology, Vol. 18:200 (2018), 1-13. 4d N = 2 SCFT and singularity theory Part III: Rigid singularity (with Bingyi Chen, Dan Xie, Shing-Tung Yau and Huaiqing Zuo), Advances in Theoretical and Mathematical Physics, Vol. 22, No. 8 (2018), 1885-1905. On the derivation Lie algebras fewnomial singularities (with Naveed Hussain and Huaiqing Zuo), Bulletin of the Australian Mathematical Society, Vol. 98 (2018), 77-88. Sharp Upper Estimate of Geometric Genus and Coordinate-free Characterization of Isolated Homogeneous Hypersurface Singularities (with Ke-Pao Lin, S. Raghuvanshi and Huaiqing Zuo), Asian Journal of Mathematics, Vol. 22, No. 4 (2018), 599-646. Convex hull analysis of evolutionary and phylogenetic relationships between biological groups (with Kun Tian* and Xin Zhao*), Journal of Theoretical Biology, Vol. 456 (2018), 34-40. Suboptimal Linear Estimation for Continuous-discrete Bilinear Systems (with Xue Luo and Xiuqiong Chen), Systems & Control Letters, Vol. 119 (2018), 92-100. A sharp lower bound for the geometric genus and Zariski multiplicity question (with Huaiqing Zuo), Mathematische Zeitschrift, Vol. 289 (2018), 1299-1310. A new method to cluster genomes based on cumulative Fourier power spectrum (with Rui Dong*, Ziyue Zhu*, Changchuan Yin, and Rong L He), Gene, Vol. 673 (2018), 239-250. The suboptimal method via probabilists' Hermite polynomials to solve nonlinear filtering problems (with Xue Luo), Automatica, Vol. 94 (2018), 9-17. Direct method for Yau filtering system with nonlinear observations (with Ji Shi and Zhiyu Yang), International Journal of Control, Vol. 91, No. 3 (2018), 678-687. A novel fast vector method for genetic sequence comparison (with Yongkun Li, Lily He and Rong Lucy He), Scientific Reports, 7: 12226, DOI:10.1038/s41598-017-12493-2, (2017), 1-11. Virus Database and Online Inquiry System Based on Natural Vector (with Rui Dong, Hui Zheng, Kun Tian, Shek-Chung Yau, Weiguang Mao, Wenping Yu, Changchuan Yin, Chenglong Yu, Rong Lucy He and Jie Yang), Evolutionary Bioinformatics, Vol. 13 (2017), 1-7. Establishing the phylogeny of Prochlorococcus with a new alignment-free method (with Xin Zhao*, Kun Tian* and Rong L. He), Ecology and Evolution, Vol. 7, No. 24 (2017), 11057-11065. Finite dimensional estimation algebras with state dimension 3 and rank 2, I: linear structure of wong matrix (with Ji Shi), SIAM J. Control Optim., Vol. 55, No. 6 (2017), 4227-4246. 4d N = 2 SCFT from Complete Intersection Singularity (with Yifan Wang, Dan Xie, and Shing-Tung Yau), Advances in Theoretical and Mathematical Physics, Vol. 21, No. 3 (2017), 801-855. A novel alignment-free vector method to cluster protein sequences (with Lily He*, Yongkun Li* and Rong Lucy He), Journal of Theoretical Biology, Vol. 427 (2017), 41-52. New classes of finite dimensional filters with nonmaximal rank (with Ji Shi, Xiuqiong Chen and Wenhui Dong), IEEE Control Systems Letters, Vol. 1, No. 2 (2017), 233-237. Thom-Sebastiani properties of Kohn-Rossi cohomology of compact connected strongly pseudoconvex CR manifolds (with Huaiqing Zuo), SCIENCE CHINA Mathematics, Vol. 60, No. 6 (2017), 1129-1136. A Coevolution Analysis for Identifying Protein-Protein Interactions by Fourier Transform (with Changchuan Yin), PloS ONE, 12(4) (2017): e0174862. Direct method for time-varying nonlinear filtering problems (with Xiuqiong Chen and Xue Luo), IEEE Transactions on Aerospace and Electronic Systems, Vol. 53, No. 2 (2017), 630-639. An information-based network approach for protein classification (with Xiaogeng Wan and Xin Zhao), PloS ONE, 12(3) (2017): e0174386. Zika and flaviviruses phylogeny based on the alignment-free natural vector method (with Yongkun Li, Lily He and Rong Lucy He), DNA and Cell Biology, Vol. 36, No. 2 (2017), 109-116. 4d N=2 SCFT and singularity theory Part II: Complete intersection (with Bingyi Chen, Dan Xie, Shing-Tung Yau and Huaiqing Zuo), Advances in Theoretical and Mathematical Physics, Vol. 21, No. 1 (2017), 121-145. On the Sharp Polynomial Upper Estimate Conjecture in Eight-Dimensional Simplex (with Ke-Pao Lin, Andrew Yang and Huaiqing Zuo), Pure and Applied Mathematics Quarterly, Vol. 12, No. 3 (2016), 353-398. A Sharp upper estimate conjecture for the Yau number of weighted homogeneous isolated hypersurface singularity (with HUAI QING ZUO), Pure and Applied Mathematics Quarterly, Vol. 12, No. 1 (2016), 165-181. Novel Suboptimal Filter via Higher Order Central Moments (with Xue Luo, Yang Jiao, and Wen-Lin Chiou), IEEE Transactions on Aerospace and Electronic Systems, Vol. 52, No. 4 (2016), 2030-2038. Numerical encoding of DNA sequences by Chaos Game Representation with application in similarity comparison (with Tung Hoang and Changchuan Yin), Genomics, Vol. 108 (2016), 134-142. Recent results on rigidity of CR morphisms between compact strongly pseudoconvex CR manifolds (with Huaiqing Zuo), Proceedings of the 6th International Congress of Chinese Mathematicians (Proceeding of 2013ICCM), ALM36, 2016, 173-197. Virus classification in 60-dimensional protein space (with Yongkun Li, Kun Tian, Changchuan Yin and Rong Lucy He), Molecular Phylogenetics and Evolution, Vol. 99 (2016), 53-62. A New Method for Studying the Evolutionary Origin of the SAR11 Clade Marine Bacteria (with Xin Zhao, Xiaogeng Wan and Rong Lucy He), Molecular Phylogenetics and Evolution, Vol. 98 (2016), 271-279. Derivations of the moduli algebras of weighted homogeneous hypersurface singularities (with Huaiqing Zuo), Journal of Algebra, Vol. 457 (2016), 18-25. A sharp estimate of positive integral points in 6-dimensional polyhedra and a sharp estimate of smooth numbers (with Andrew Liang and Huaiqing Zuo), SCIENCE CHINA Mathematics, Vol. 59, No. 3 (2016), 425-444. On the polynomial sharp upper estimate conjecture in 7-dimensional simplex (with Beihui Yuan and Huaiqing Zuo), Journal of Number Theory, Vol. 160 (2016), 254-286. On higher dimensional complex Plateau problem (with Rong Du and Yun Gao), Mathematische Zeitschrift, Vol. 282 (2016), 389-403. Interplay between CR Geometry and Algebraic Geometry (with Huaiqing Zuo), Complex Geometry and Dynamics – Proceedings of the Abel Symposium 2013, NTNU, Trondheim, Norway, July 2-5, 2013, Vol. 10 (2015), 227-258. On the quenching behavior of the mems with fringing field (with Xue Luo), Quarterly of Applied Mathematics, Vol. 73, No. 4 (2015), 629-659. Some Finite Dimensional Filters derived from the Structure Theorem for Five-dimensional Estimation Algebras (with Wen-Lin Chiou and Shaopu Lin), Asian Journal of Math., Vol. 19, No. 5 (2015), 793-810. Topological Classification of Simplest Gorenstein Non-complete Intersection Singularities of Dimension 2 (with Mingyi Zhang and Huaiqing Zuo), Asian Journal of Mathematics, Vol. 19, No. 4 (2015), 651-792. A Novel Suboptimal Method for Solving Polynomial Filtering Problems (with Xue Luo, Yang Jiao and Wen-Lin Chiou), Automatica, Vol. 62 (2015), 26-31. Two dimensional Yau-Hausdorff distance with applications on comparison of DNA and protein sequences (with Kun Tian, Xiaoqian Yang, Qin Kong, Changchuan Yin and Rong L. He), PLoS ONE, 2015, DOI:10.1371/journal.pone.0136577. Ebolaviruses Classification Based on Natural Vectors (with Hui Zheng, Changchuan Yin, Tung Hoang, Rong Lucy He and Jie Yang), DNA and Cell Biology, Vol. 34, No. 6 (2015), 1-11. An improved model for whole genome phylogenetic analysis by Fourier transform (with Changchuan Yin), Journal of Theoretical Biology, Vol. 382 (2015), 99-110. Time-dependent Hermite-Galerkin spectral method and its applications (with Xue Luo and Shing Tung Yau), Applied Mathematics and Computation, Vol. 264 (2015), 378-391. A new method to cluster DNA sequences using Fourier power spectrum (with Tung Hoang, Changchuan Yin, Hui Zheng, Chenglong Yu and Rong Lucy He), Journal of Theoretical Biology, Vol. 372 (2015), 135-145. Plurigenera of compact connected strongly pseudoconvex CR manifolds (with Ke-Pao Lin and Huaiqing Zuo), Science China Mathematics, Vol. 58, No. 3 (2015), 525-530. Distinguishing Proteins From Arbitrary Amino Acid Sequences (with Wei-Guang Mao, Max Benson, and Rong Lucy He), Scientific Reports, Vol. 5 (2015), 1-8. Complete characterization of isolated homogeneous hypersurface singularities (with Huaiqing Zuo), Pacific Journal of Mathematics, Vol. 273, No. 1 (2015), 213-224. On classification of toric surface codes of low dimension (with Xue Luo, Mingyi Zhang and Huaiqing Zuo), Finite Fields and Their Applications, Vol. 33 (2015), 90-102. A sharp polynomial estimate of positive integral points in a 4-dimensional tetrahedron and a sharp estimate of the Dickman-de Bruijn function (with Xue luo and Huaiqing Zuo), Mathematische Nachrichten, Vol. 288, No. 1 (2015), 61-75. On a number-theoretic conjecture on positive integral points in a 5-dimensional tetrahedron and a sharp estimate of the Dickman-De Bruijn function (with Ke-Pao Lin, Xue Luo, and Huaiqing Zuo), Journal of the European Mathematical Society, Vol. 16 (2014), 1937-1966. Global comparison of multiple-segmented viruses in 12-dimensional Genome space (with Hsin-Hsiung Huang, Chenglong Yu, Hui Zheng, Troy Hernandez, Shek-Chung Yau, Rong Lucy He, and Jie Yang), Molecular Phylogenetics and Evolution, Vol. 81 (2014), 29-36. K-mer sparse matrix model for genetic sequence and its applications in sequence comparison (with Jia Wen and YuYan Zhang), Journal of Theoretical Biology, Vol. 363 (2014), 145-150. A measure of DNA sequence similarity by Fourier Transform with applications on hierarchical clustering (with Changchuan Yin, and Ying Chen), Journal of Theoretical Biology, Vol. 359 (2014), 18-28. DFA7, A New Method to Distinguish between Intron-containing and Intronless Genes (with Chenglong Yu, Mo Deng, Lu Zheng, Rong Lucy He, and Jie Yang), PLoS ONE, Vol. 9, No. 7 (2014), 1-10. K-mer natural vector and its application to the phylogenetic analysis of genetic sequences (with Wen Jia, Raymond H.F. Chan, Shek-Chung Yau, Rong L. He), Gene, Vol. 546, No. 1 (2014), 25-34. Viral genome phylogeny based on Lempel-Ziv complexity and Hausdorff distance (with Chenglong Yu, Rong Lucy He), Journal of Theoretical Biology, Vol. 348 (2014), 12-20. On variance of exponents for isolated surface singularities with modality ≤ 2 (with Huaiqing Zuo), Science China Mathematics, Vol. 57, No. 1 (2014), 31-41. Hermite Spectral Method with Hyperbolic Cross Approximations to High-dimensional Parabolic PDEs (with Xue Luo), SIAM J. Numer. Anal., Vol. 51, No. 6 (2013), 3186-3212. Hermite spectral method to 1-D forward Kolmogorov equation and its application to nonlinear filtering problems (with Xue Luo), IEEE Transactions on Automatic Control, Vol. 58, No. 10 (2013), 2495-2507. Several splitting criteria for vector bundles and reflexive sheaves (with Fei Ye), Pacific Journal of Mathematics, Vol. 266, No. 2 (2013), 449-456. Complete real time solution of the general nonlinear filtering problem without memory (with Xue Luo), IEEE Transactions on Automatic Control, Vol. 58, No. 10 (2013), 2563-2578. Protein sequence comparison based on K-string dictionary (with Chenglong Yu and Rong L. He), Gene, Vol. 529 (2013), 250-256. Nonconstant CR morphisms between compact strongly pseudoconvex CR manifolds and étale convering between resolutions of isolated singularities (with Yu-Chao Tu and Huaiqing Zuo), J. Differential Geometry, Vol. 95 (2013), 337-354. Denoising the 3-Base Periodicity Walks of DNA Sequences in Gene Finding (with Changchuan Yin and Dongchul Yoo), Journal of Medical and Bioengineering, Vol. 2, No. 2 (2013), 80-83. Real Time Classification of Viruses in 12 Dimensions (with Chenglong Yu, Troy Hernandez, Hui Zheng, Shek-Chung Yau, Hsin-Hsiung Huang, Rong Lucy He, Jie Yang), PLoS One, Vol. 8, No. 5 (2013), 1-10. Characterization of isolated complete intersection singularities with C*-action of dimension n≥2 by means of geometric genus and irregularity (with Huaiqing Zuo), Communications in Analysis and Geometry, Vol. 21, No. 3 (2013), 509-526. Protein space: A natural method for realizing the nature of protein universe (with Chenglong Yu, Mo Deng, Shiu-Yuen Cheng, Shek-Chung Yau, Rong L. He), Journal of Theoretical Biology, Vol. 318 (2013), 197-204. Sharp polynomial estimate of integral points in right-angled simplices (with Linda Zhao), Journal of Number Theory, Vol. 133, No. 2 (2013), 398-425. Mitter conjecture and structure theorem for six-dimensional estimation algebras (with Yang Jiao and Wen-Lin Chiou), International Journal of Control, Vol. 86, No. 1 (2013), 146-158. Decentralized detection in ad hoc sensor networks with low data rate inter sensor communication (with Lu Zheng, Yingwei Yao, Mo Deng), IEEE Transactions on Information Theory, Vol. 58, No. 5 (2012), 3215-3224. A Novel Algorithm to Solve the Robust DMZ Equation in Real Time (with Xue Luo), 51st IEEE Conference on Decision and Control, Maui, Hawaii, Dec. 10-13, 2012, 606-611. Lower estimate of milnor number and characterization of isolated homogeneous hypersurface singularities (with Huaiqing Zuo), Pacific J. math., Vol. 260, No. 1 (2012), 245-255. Kohn-Rossi cohomology and its application to the complex plateau problem, III, (with Rong Du), J. Differential Geometry, Vol. 90 (2012), 251-266. Codes from infinitely near points (with Bruce M. Bennett and Hing Sun Luk), Asian J. Mathematics, Vol. 16, No. 1 (2012), 89-101. New invariants for complex manifolds, singularities, and CR manifolds with applications (with Rong Du), Proceeding of ICCM 2010, AMS/IP Studies in Advanced Mathematics, Vol. 51 (2012), 431-445. New invariants for complex manifolds and isolated singularities (with Rong Du and Hing Sun Luk), Communications in Analysis and Geometry, Vol. 19, No. 5 (2011), 991-1021. Coordinate-free characterization of homogeneous polynomials with isolated singularities (with Irene Chen, Ke-Pao Lin, and Huaiqing Zuo), Communications in analysis and geometry, Vol. 19, No. 4 (2011), 661-704. Protein map: An alignment-free sequence comparison method based on various properties of amino acids (with Chenglong Yu, ShiuYuen Cheng, Rong L. He), Gene, Vol. 486 (2011), 110-118. A novel clustering method via nucleotide-based Fourier power spectrum analysis (with Bo Zhao and Victor Duan), Journal of Theoretical Biology, Vol. 279 (2011), 83-89. A new distribution vector and its application in genome clustering (with Bo Zhao and Rong He), Molecular Phylogenetics and Evolution, Vol. 59 (2011), 438-443.