Stephen S.-T. Yau

Orcid: 0000-0001-7634-7981

Affiliations:
  • Tsinghua University, Beijing, China


According to our database1, Stephen S.-T. Yau authored at least 108 papers between 1996 and 2024.

Collaborative distances:

Awards

IEEE Fellow

IEEE Fellow 2003, "For contributions to the mathematical aspects of nolinear filtering".

Timeline

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Bibliography

2024
Complete Classification of Finite Dimensional Estimation Algebras With State Dimension n, Linear Rank n-1, and Constant Wong Matrix.
IEEE Trans. Autom. Control., January, 2024

2023
Finite Dimensional Estimation Algebra for Time-Varying Filtering System and Optimal Transport Particle Filter: A Tangent Flow Point of View.
IEEE Trans. Aerosp. Electron. Syst., December, 2023

Recurrent Neural Networks Are Universal Approximators With Stochastic Inputs.
IEEE Trans. Neural Networks Learn. Syst., October, 2023

Solving nonlinear filtering problems with correlated noise based on Hermite-Galerkin spectral method.
Autom., October, 2023

Log-Concave Posterior Densities Arising in Continuous Filtering and a Maximum A Posteriori Algorithm.
SIAM J. Control. Optim., August, 2023

Solving Nonlinear Filtering Problems Using a Tensor Train Decomposition Method.
IEEE Trans. Autom. Control., July, 2023

Structure of finite dimensional exact estimation algebra on state dimension 3 and linear rank 2.
Int. J. Control, February, 2023

Outlier-Robust Iterative Extended Kalman Filtering.
IEEE Signal Process. Lett., 2023

Preface of special issue dedicated to Professor Avner Friedman's 90th birthday.
Commun. Inf. Syst., 2023

Maximum Correntropy Ensemble Kalman Filter.
Proceedings of the 62nd IEEE Conference on Decision and Control, 2023

2022
New Genome Sequence Detection via Natural Vector Convex Hull Method.
IEEE ACM Trans. Comput. Biol. Bioinform., 2022

Optimal Transportation Particle Filter for Linear Filtering Systems With Correlated Noises.
IEEE Trans. Aerosp. Electron. Syst., 2022

kmer2vec: A Novel Method for Comparing DNA Sequences by word2vec Embedding.
J. Comput. Biol., 2022

General convergence result for continuous-discrete feedback particle filter.
Int. J. Control, 2022

Nucleotide amino acid k-mer vector: an alignment-free method for comparing genomic sequences.
Commun. Inf. Syst., 2022

2021
Solving Nonlinear Filtering Problems in Real Time by Legendre Galerkin Spectral Method.
IEEE Trans. Autom. Control., 2021

A New Linear Regression Kalman Filter with Symmetric Samples.
Symmetry, 2021

The novel classes of finite dimensional filters with non-maximal rank estimation algebra on state dimension four and rank of one.
Int. J. Control, 2021

Inverted repeats in coronavirus SARS-CoV-2 genome and implications in evolution.
Commun. Inf. Syst., 2021

A Novel Real-Time Filtering Method to General Nonlinear Filtering Problem Without Memory.
IEEE Access, 2021

2020
Proper Orthogonal Decomposition Method to Nonlinear Filtering Problems in Medium-High Dimension.
IEEE Trans. Autom. Control., 2020

New Classes of Finite Dimensional Filters with Nonmaximal Rank Estimation Algebra on State Dimension n and Linear Rank n-2.
SIAM J. Control. Optim., 2020

A New Method Based on Coding Sequence Density to Cluster Bacteria.
J. Comput. Biol., 2020

Finite dimensional estimation algebras with state dimension 3 and rank 2, Mitter conjecture.
Int. J. Control, 2020

Whole-genome phylogeny of giant viruses by Fourier transform.
Commun. Inf. Syst., 2020

A Novel Image Description With the Stretched Natural Vector Method: Application to Face Recognition.
IEEE Access, 2020

Weight enumerators for nonbinary asymmetric quantum codes and their applications.
Adv. Appl. Math., 2020

Novel Classification of Finite Dimensional Filters with Non-maximal Rank Estimation Algebra.
Proceedings of the 2020 American Control Conference, 2020

2019
Real-Time Solution of Time-Varying Yau Filtering Problems via Direct Method and Gaussian Approximation.
IEEE Trans. Autom. Control., 2019

Protein Sequence Classification Using Natural Vector and Convex Hull Method.
J. Comput. Biol., 2019

Solving high-dimensional nonlinear filtering problems using a tensor train decomposition method.
CoRR, 2019

Virus classification based on Q-vectors.
Commun. Inf. Syst., 2019

Whole genome single nucleotide polymorphism genotyping of <i>Staphylococcus aureus</i>.
Commun. Inf. Syst., 2019

Assessment of kmer degeneration method for complicated genomes.
Commun. Inf. Syst., 2019

Complete Weight Distributions and MacWilliams Identities for Asymmetric Quantum Codes.
IEEE Access, 2019

2018
Suboptimal linear estimation for continuous-discrete bilinear systems.
Syst. Control. Lett., 2018

Direct method for Yau filtering system with nonlinear observations.
Int. J. Control, 2018

Complete Weight Distribution and MacWilliams Identities for Asymmetric Quantum Codes.
CoRR, 2018

The suboptimal method via probabilists' Hermite polynomials to solve nonlinear filtering problems.
Autom., 2018

2017
Direct Method for Time-Varying Nonlinear Filtering Problems.
IEEE Trans. Aerosp. Electron. Syst., 2017

Finite Dimensional Estimation Algebras with State Dimension 3 and rank 2, I: Linear Structure of Wong Matrix.
SIAM J. Control. Optim., 2017

New Classes of Finite Dimensional Filters With Non-Maximal Rank.
IEEE Control. Syst. Lett., 2017

2016
Novel suboptimal filter via higher order central moments.
IEEE Trans. Aerosp. Electron. Syst., 2016

2015
On classification of toric surface codes of low dimension.
Finite Fields Their Appl., 2015

A novel suboptimal method for solving polynomial filtering problems.
Autom., 2015

Time-dependent Hermite-Galerkin spectral method and its applications.
Appl. Math. Comput., 2015

2013
Complete Real Time Solution of the General Nonlinear Filtering Problem Without Memory.
IEEE Trans. Autom. Control., 2013

Hermite Spectral Method to 1-D Forward Kolmogorov Equation and Its Application to Nonlinear Filtering Problems.
IEEE Trans. Autom. Control., 2013

Hermite Spectral Method with Hyperbolic Cross Approximations to High-Dimensional Parabolic PDEs.
SIAM J. Numer. Anal., 2013

Mitter conjecture and structure theorem for six-dimensional estimation algebras.
Int. J. Control, 2013

Denoising the 3-Base Periodicity Walks of DNA Sequences in Gene Finding
CoRR, 2013

2012
Decentralized Detection in Ad hoc Sensor Networks With Low Data Rate Inter Sensor Communication.
IEEE Trans. Inf. Theory, 2012

A novel algorithm to solve the robust DMZ equation in real time.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012

2011
DNA sequence comparison by a novel probabilistic method.
Inf. Sci., 2011

2010
Nonholonomic Systems and Sub-Riemannian Geometry.
Commun. Inf. Syst., 2010

Structure theorem for six-dimensional estimation algebras.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Some Finite Dimensional Filters Derived from the Structure Theorem for Five-dimensional Estimation Algebras.
Proceedings of the IEEE International Conference on Control Applications, 2010

2009
TCOM, an innovative data structure for mining association rules among infrequent items.
Comput. Math. Appl., 2009

Notes on classification of toric surface codes of dimension 5.
Appl. Algebra Eng. Commun. Comput., 2009

Schrödinger equation with quartic potential and nonlinear filtering problem.
Proceedings of the 48th IEEE Conference on Decision and Control, 2009

2008
Real Time Solution of the Nonlinear Filtering Problem without Memory II.
SIAM J. Control. Optim., 2008

Coding Region Prediction Based on a Universal DNA Sequence Representation Method.
J. Comput. Biol., 2008

Mitter conjecture for low dimensional estimation algebras in non-linear filtering.
Int. J. Control, 2008

New Algorithms in Real Time Solution of the Nonlinear Filtering Problem.
Commun. Inf. Syst., 2008

Numerical representation of DNA sequences based on genetic code context and its applications in periodicity analysis of genomes.
Proceedings of the 2008 IEEE Symposium on Computational Intelligence in Bioinformatics and Computational Biology, 2008

Real time solution of Duncan-Mortensen-Zakai equation without memory.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

A Novel Analysis Model for DNA Sequences.
Proceedings of the 2008 International Conference on BioMedical Engineering and Informatics, 2008

Pricing stock options in mergers and acquisitions with jump-diffusion model.
Proceedings of the American Control Conference, 2008

2007
Survey on index based homology search algorithms.
J. Supercomput., 2007

Optimal fast tracking observer bandwidth of the linear extended state observer.
Int. J. Control, 2007

Special solutions to some Kolmogorov equations arising from cubic sensor problems.
Commun. Inf. Syst., 2007

Efficient association rule mining among both frequent and infrequent items.
Comput. Math. Appl., 2007

Classification of all finite-dimensional nonlinear filters from Lie algebraic point of view: State dimension 2.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007

Forecasting Stock Market Volatility Using Implied Volatility.
Proceedings of the American Control Conference, 2007

2006
Classification of Estimation Algebras with State Dimension 2.
SIAM J. Control. Optim., 2006

Structure theorem for five-dimensional estimation algebras.
Syst. Control. Lett., 2006

Tracking the 3-Base Periodicity of Protein-Coding Regions by the Nonlinear Tracking-Differentiator.
Proceedings of the 45th IEEE Conference on Decision and Control, 2006

The Effects of Different Volatility and Management Fee Dynamics on High Water Mark Option Pricing.
Proceedings of the 45th IEEE Conference on Decision and Control, 2006

2005
Solution of Filtering Problem with Nonlinear Observations.
SIAM J. Control. Optim., 2005

A Fourier Characteristic of Coding Sequences: Origins and a Non-Fourier Approximation.
J. Comput. Biol., 2005

Finding minimal and maximal sets of spatial relationships in pictorial retrieval systems.
Commun. Inf. Syst., 2005

On consistency checking of spatial relationships in content-based image database systems.
Commun. Inf. Syst., 2005

Existence and Uniqueness of Solutions for Duncan-Mortensen-Zakai Equations.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

Filtering problem with nonlinear observations and drift terms equal to gradient vector field plus affine vector field.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2004
Wavelet-Galerkin method for the Kolmogorov equation.
Math. Comput. Model., 2004

On Completeness of Reasoning about Planar Spatial Relationships in Pictorial Retrieval Systems.
Commun. Inf. Syst., 2004

On Interactability of Spatial Relationships in Content-Based Image Database Systems.
Commun. Inf. Syst., 2004

Linear filtering with nonlinear observations.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

2003
Explicit solution of DMZ equation in nonlinear filtering via solution of ODEs.
IEEE Trans. Autom. Control., 2003

A general approach to indexing and retrieval of images in image databases.
Commun. Inf. Syst., 2003

A Stepwise Approximation of Intractable Spatial Constraints in Image Queries.
Commun. Inf. Syst., 2003

Recent results on classification of low dimensional estimation algebras.
Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

Construction of finite-dimensional nonlinear filter via ODEs.
Proceedings of the American Control Conference, 2003

2002
On the under-determined partial differential equation in the nonlinear filtering problems.
Proceedings of the American Control Conference, 2002

Design of the ordinary differential equation solver in the Yau filtering system.
Proceedings of the American Control Conference, 2002

2001
Finite-dimensional filters with nonlinear drift X: explicit solution of DMZ equation.
IEEE Trans. Autom. Control., 2001

The consistency problem of content-based pictorial description in pictorial database systems.
Commun. Inf. Syst., 2001

Real time algorithm for nonlinear filtering problem.
Proceedings of the 40th IEEE Conference on Decision and Control, 2001

Estimation algebras with state dimension 2.
Proceedings of the 40th IEEE Conference on Decision and Control, 2001

2000
Z<sub>8</sub>-Cyclic Codes and Quadratic Residue Codes.
Adv. Appl. Math., 2000

Solution to Brockett's problem on finite-dimensional estimation algebras of maximal rank in nonlinear filtering.
Proceedings of the 39th IEEE Conference on Decision and Control, 2000

Existence of solutions to time dependent parabolic equations with unbounded coefficients: application to Duncan-Mortensen-Zakai equations.
Proceedings of the American Control Conference, 2000

Linear filtering system with arbitrary initial conditions.
Proceedings of the American Control Conference, 2000

1999
Classification of four-dimensional estimation algebras.
IEEE Trans. Autom. Control., 1999

1998
An Experimental Result in Image Indexing Using GEP-2D Strings.
Proceedings of the Image Databases and Multi-Media Search, 1998

1997
Contribution to Munuera's problem on the main conjecture of geometric hyperelliptic MDS codes.
IEEE Trans. Inf. Theory, 1997

1996
Finite-dimensional filters with nonlinear drift, VI: Linear structure of Ω.
Math. Control. Signals Syst., 1996

A Unified Approach to Iconic Indexing, Retrieval, and Maintenance of Spatial Relationships in Image Databases.
J. Vis. Commun. Image Represent., 1996


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