Shing-Tung Yau

Affiliations:
  • Harvard University, Dept. of Mathematics


According to our database1, Shing-Tung Yau authored at least 113 papers between 1993 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of two.

Timeline

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Bibliography

2024
n-Dimensional Volumetric Stretch Energy Minimization for Volume-/Mass-Preserving Parameterizations.
CoRR, 2024

2023
Convergence Analysis of Volumetric Stretch Energy Minimization and Its Associated Optimal Mass Transport.
SIAM J. Imaging Sci., September, 2023

A Robust Hessian-based Trust Region Algorithm for Spherical Conformal Parameterizations.
CoRR, 2023

PhyloTransformer: A Self-supervised Discriminative Model for SARS-CoV-2 Viral Mutation Prediction Based on a Multi-head Self-attention Mechanism.
Proceedings of the 6th International Workshop on Knowledge Discovery from Healthcare Data co-located with 32nd International Joint Conference on Artificial Intelligence (IJCAI 2023), 2023

2022
Surface Eigenvalues with Lattice-Based Approximation In comparison with analytical solution.
CoRR, 2022

An UNet-Based Brain Tumor Segmentation Framework via Optimal Mass Transportation Pre-processing.
Proceedings of the Brainlesion: Glioma, Multiple Sclerosis, Stroke and Traumatic Brain Injuries, 2022

2021
Fast and accurate spherical harmonics products.
ACM Trans. Graph., 2021

Convergent Conformal Energy Minimization for the Computation of Disk Parameterizations.
SIAM J. Imaging Sci., 2021

Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems.
J. Sci. Comput., 2021

PhyloTransformer: A Discriminative Model for Mutation Prediction Based on a Multi-head Self-attention Mechanism.
CoRR, 2021

A Two-Phase Optimal Mass Transportation Technique for 3D Brain Tumor Detection and Segmentation.
Proceedings of the Brainlesion: Glioma, Multiple Sclerosis, Stroke and Traumatic Brain Injuries, 2021

2020
A New Efficient Algorithm for Volume-Preserving Parameterizations of Genus-One 3-Manifolds.
SIAM J. Imaging Sci., 2020

AE-OT-GAN: Training GANs from data specific latent distribution.
CoRR, 2020

Ae-OT: a New Generative Model based on Extended Semi-discrete Optimal transport.
Proceedings of the 8th International Conference on Learning Representations, 2020

2019
Write-a-video: computational video montage from themed text.
ACM Trans. Graph., 2019

A Novel Algorithm for Volume-Preserving Parameterizations of 3-Manifolds.
SIAM J. Imaging Sci., 2019

A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations.
J. Sci. Comput., 2019

iSIRA: Integrated shift-invert residual Arnoldi method for graph Laplacian matrices from big data.
J. Comput. Appl. Math., 2019

Investigating the role of eye movements and physiological signals in search satisfaction prediction using geometric analysis.
J. Assoc. Inf. Sci. Technol., 2019

Mode Collapse and Regularity of Optimal Transportation Maps.
CoRR, 2019

A geometric view of optimal transportation and generative model.
Comput. Aided Geom. Des., 2019

2018
Latent Space Optimal Transport for Generative Models.
CoRR, 2018

Geometric Understanding of Deep Learning.
CoRR, 2018

2017
Pretty good quantum state transfer in symmetric spin networks via magnetic field.
Quantum Inf. Process., 2017

Perfect state transfer on graphs with a potential.
Quantum Inf. Comput., 2017

Hyperbolic Harmonic Mapping for Surface Registration.
IEEE Trans. Pattern Anal. Mach. Intell., 2017

Evolutionary dynamics on any population structure.
Nat., 2017

An Efficient Energy Minimization for Conformal Parameterizations.
J. Sci. Comput., 2017

2015
Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization.
Math. Comput., 2015

Conformal Surface Morphing with Applications on Facial Expressions.
CoRR, 2015

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

2014
Teichmuller Mapping (T-Map) and Its Applications to Landmark Matching Registration.
SIAM J. Imaging Sci., 2014

Shape Analysis of Planar Multiply-Connected Objects Using Conformal Welding.
IEEE Trans. Pattern Anal. Mach. Intell., 2014

A Novel Symmetric Skew-Hamiltonian Isotropic Lanczos Algorithm for Spectral Conformal Parameterizations.
J. Sci. Comput., 2014

Optimal mass transport for geometric modeling based on variational principles in convex geometry.
Eng. Comput., 2014

Conformal parameterization for multiply connected domains: combining finite elements and complex analysis.
Eng. Comput., 2014

The unified discrete surface Ricci flow.
Graph. Model., 2014

An efficient numerical method for solving high-dimensional nonlinear filtering problems.
Commun. Inf. Syst., 2014

An efficient algorithm of Yau-Yau method for solving nonlinear filtering problems.
Commun. Inf. Syst., 2014

A novel efficient homotopy continuation method in tracking.
Commun. Inf. Syst., 2014

Subdividing Prismatic Meshes by Cutting Flow.
Proceedings of the Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications, 2014

2013
Discrete Green's functions and random walks on graphs.
J. Comb. Theory A, 2013

Teichmüller Shape Descriptor and Its Application to Alzheimer's Disease Study.
Int. J. Comput. Vis., 2013

Hyperbolic Harmonic Brain Surface Registration with Curvature-Based Landmark Matching.
Proceedings of the Information Processing in Medical Imaging, 2013

Nonlinearly Constrained MRFs: Exploring the Intrinsic Dimensions of Higher-Order Cliques.
Proceedings of the 2013 IEEE Conference on Computer Vision and Pattern Recognition, 2013

Hyperbolic Harmonic Mapping for Constrained Brain Surface Registration.
Proceedings of the 2013 IEEE Conference on Computer Vision and Pattern Recognition, 2013

2012
Brain Surface Conformal Parameterization With the Ricci Flow.
IEEE Trans. Medical Imaging, 2012

Computing quasiconformal maps using an auxiliary metric and discrete curvature flow.
Numerische Mathematik, 2012

Erratum to: Optimization of Surface Registrations Using Beltrami Holomorphic Flow.
J. Sci. Comput., 2012

Optimization of Surface Registrations Using Beltrami Holomorphic Flow.
J. Sci. Comput., 2012

Teichmüller extremal mapping and its applications to landmark matching registration
CoRR, 2012

Polynomial calculations in Doppler tracking.
Commun. Inf. Syst., 2012

2011
Computing shortest words via shortest loops on hyperbolic surfaces.
Comput. Aided Des., 2011

The Cutting Pattern Problem for Tetrahedral Mesh Generation.
Proceedings of the 20th International Meshing Roundtable, 2011

2010
Fundamentals of Computational Conformal Geometry.
Math. Comput. Sci., 2010

Numerical conformal mapping of multiply connected domains to regions with circular boundaries.
J. Comput. Appl. Math., 2010

Shape Analysis of Vestibular Systems in Adolescent Idiopathic Scoliosis Using Geodesic Spectra.
Proceedings of the Medical Image Computing and Computer-Assisted Intervention, 2010

Shape-Based Diffeomorphic Registration on Hippocampal Surfaces Using Beltrami Holomorphic Flow.
Proceedings of the Medical Image Computing and Computer-Assisted Intervention, 2010

Shape Analysis of Planar Objects with Arbitrary Topologies Using Conformal Geometry.
Proceedings of the Computer Vision - ECCV 2010, 2010

Compression of surface registrations using Beltrami coefficients.
Proceedings of the Twenty-Third IEEE Conference on Computer Vision and Pattern Recognition, 2010

2009
Recent Advances in Computational Conformal Geometry.
Commun. Inf. Syst., 2009

Computing Fenchel-Nielsen Coordinates in Teichmüller Shape Space.
Commun. Inf. Syst., 2009

Teichmüller Shape Space Theory and Its Application to Brain Morphometry.
Proceedings of the Medical Image Computing and Computer-Assisted Intervention, 2009

Surface Quasi-Conformal Mapping by Solving Beltrami Equations.
Proceedings of the Mathematics of Surfaces XIII, 2009

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

Computation of curvatures using conformal parameterization.
Commun. Inf. Syst., 2008

Manifold splines with a single extraordinary point.
Comput. Aided Des., 2008

Conformal Slit Mapping and Its Applications to Brain Surface Parameterization.
Proceedings of the Medical Image Computing and Computer-Assisted Intervention, 2008

Brain surface conformal parameterization with the slit mapping.
Proceedings of the 2008 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2008

Slit Map: Conformal Parameterization for Multiply Connected Surfaces.
Proceedings of the Advances in Geometric Modeling and Processing, 2008

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

2007
Brain Surface Conformal Parameterization Using Riemann Surface Structure.
IEEE Trans. Medical Imaging, 2007

Conformal Spherical Parametrization for High Genus Surfaces.
Commun. Inf. Syst., 2007

Geometric accuracy analysis for discrete surface approximation.
Comput. Aided Geom. Des., 2007

Computational conformal geometry, theories and applications.
Proceedings of the 2007 ACM Symposium on Solid and Physical Modeling, 2007

Computing geodesic spectra of surfaces.
Proceedings of the 2007 ACM Symposium on Solid and Physical Modeling, 2007

Brain Surface Conformal Parameterization with the Ricci Flow.
Proceedings of the 2007 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2007

2006
Holoimages.
Proceedings of the ACM Symposium on Solid and Physical Modeling 2006, 2006

High-resolution, real-time-geometry video acquisition.
Proceedings of the International Conference on Computer Graphics and Interactive Techniques, 2006

High-resolution, real-time-geometry video acquisition system.
Proceedings of the International Conference on Computer Graphics and Interactive Techniques, 2006

Brain Surface Conformal Parameterization with Algebraic Functions.
Proceedings of the Medical Image Computing and Computer-Assisted Intervention, 2006

Geometric Accuracy Analysis for Discrete Surface Approximation.
Proceedings of the Geometric Modeling and Processing, 2006

2005
Uniform texture synthesis and texture mapping using global parameterization.
Vis. Comput., 2005

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

Brain Surface Parameterization Using Riemann Surface Structure.
Proceedings of the Medical Image Computing and Computer-Assisted Intervention, 2005

Surface Parameterization Using Riemann Surface Structure.
Proceedings of the 10th IEEE International Conference on Computer Vision (ICCV 2005), 2005

Brain Surface Conformal Parameterization.
Proceedings of the Eighth IASTED International Conference on Computer Graphics and Imaging, 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

2004
Genus zero surface conformal mapping and its application to brain surface mapping.
IEEE Trans. Medical Imaging, 2004

Surface Segmentation Using Global Conformal Structure.
Commun. Inf. Syst., 2004

Optimal Global Conformal Surface Parameterization for Visualization.
Commun. Inf. Syst., 2004

Optimal Global Conformal Surface Parameterization.
Proceedings of the 15th IEEE Visualization Conference, 2004

Intrinsic brain surface conformal mapping using a variational method.
Proceedings of the Medical Imaging 2004: Image Processing, 2004

Volumetric Harmonic Brain Mapping.
Proceedings of the 2004 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2004

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

2003
Volumetric Harmonic Map.
Commun. Inf. Syst., 2003

Geometric Compression Using Riemann Surface Structure.
Commun. Inf. Syst., 2003

Computing Conformal Invariants: Period Matrices.
Commun. Inf. Syst., 2003

Global Conformal Parameterization.
Proceedings of the First Eurographics Symposium on Geometry Processing, 2003

Surface Classification Using Conformal Structures.
Proceedings of the 9th IEEE International Conference on Computer Vision (ICCV 2003), 2003

2002
Computing Conformal Structure of Surfaces
CoRR, 2002

Computing conformal structures of surfaces.
Commun. Inf. Syst., 2002

2001
Graph homotopy and Graham homotopy.
Discret. Math., 2001

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

2000
A Harnack inequality for Dirichlet eigenvalues.
J. Graph Theory, 2000

Discrete Green's Functions.
J. Comb. Theory A, 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

1999
Coverings, Heat Kernels and Spanning Trees.
Electron. J. Comb., 1999

1997
Eigenvalues, Flows and Separators of Graphs.
Proceedings of the Twenty-Ninth Annual ACM Symposium on the Theory of Computing, 1997

1996
On sampling with Markov chains.
Random Struct. Algorithms, 1996

1995
Eigenvalues of Graphs and Sobolev Inequalities.
Comb. Probab. Comput., 1995

1994
A near optimal algorithm for edge separators (preliminary version).
Proceedings of the Twenty-Sixth Annual ACM Symposium on Theory of Computing, 1994

1993
Reducing the Symmetric Matrix Eigenvalue Problem to Matrix Multiplications.
SIAM J. Sci. Comput., 1993


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