Richard Tsai

Orcid: 0000-0001-8441-3678

Affiliations:
  • University of Texas at Austin, Department of Mathematics, Austin, TX, USA
  • University of California, Los Angeles, CA, USA (PhD 2002)


According to our database1, Richard Tsai authored at least 65 papers between 2003 and 2024.

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Bibliography

2024
Stabilization of parareal algorithms for long-time computation of a class of highly oscillatory Hamiltonian flows using data.
Numer. Algorithms, July, 2024

A volumetric approach to Monge's optimal transport on surfaces.
J. Comput. Phys., 2024

A minimizing movement approach for crystalline eikonal-curvature flows of spirals.
CoRR, 2024

Fast End-to-End Generation of Belief Space Paths for Minimum Sensing Navigation.
CoRR, 2024

Finite-difference least square methods for solving Hamilton-Jacobi equations using neural networks.
CoRR, 2024

Optimizing Sensor Network Design for Multiple Coverage.
CoRR, 2024

Data-induced multiscale losses and efficient multirate gradient descent schemes.
CoRR, 2024

Efficient Numerical Wave Propagation Enhanced By An End-to-End Deep Learning Model.
CoRR, 2024

2023
High-order corrected trapezoidal rules for a class of singular integrals.
Adv. Comput. Math., August, 2023

Numerical wave propagation aided by deep learning.
J. Comput. Phys., February, 2023

Error Analysis for the Implicit Boundary Integral Method.
CoRR, 2023

Efficient and robust Sensor Placement in Complex Environments.
CoRR, 2023

Linear Regression on Manifold Structured Data: the Impact of Extrinsic Geometry on Solutions.
Proceedings of the Topological, 2023

2022
Corrected trapezoidal rules for singular implicit boundary integrals.
J. Comput. Phys., 2022

Corrected Trapezoidal Rule-IBIM for linearized Poisson-Boltzmann equation.
CoRR, 2022

Convergence of a class of high order corrected trapezoidal rules.
CoRR, 2022

Side-effects of Learning from Low Dimensional Data Embedded in an Euclidean Space.
CoRR, 2022

2020
Equivalent Extensions of Hamilton-Jacobi-Bellman Equations on Hypersurfaces.
J. Sci. Comput., 2020

A stable parareal-like method for the second order wave equation.
J. Comput. Phys., 2020

Visibility Optimization for Surveillance-Evasion Games.
CoRR, 2020

Fast colonic polyp detection using a Hamilton-Jacobi approach to non-dominated sorting.
Biomed. Signal Process. Control., 2020

2019
Erratum: A Multiscale Domain Decomposition Algorithm for Boundary Value Problems for Eikonal Equations.
Multiscale Model. Simul., 2019

A Multiscale Domain Decomposition Algorithm for Boundary Value Problems for Eikonal Equations.
Multiscale Model. Simul., 2019

A coupled grid based particle and implicit boundary integral method for two-phase flows with insoluble surfactant.
J. Comput. Phys., 2019

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

Nearest Neighbor Sampling of Point Sets using Random Rays.
CoRR, 2019

Unsupervised segmentation of colonic polyps in narrow-band imaging data based on manifold representation of images and Wasserstein distance.
Biomed. Signal Process. Control., 2019

Autonomous Exploration, Reconstruction, and Surveillance of 3D Environments Aided by Deep Learning.
Proceedings of the International Conference on Robotics and Automation, 2019

Strategy Synthesis for Surveillance-Evasion Games with Learning-Enabled Visibility Optimization.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

2018
An extrapolative approach to integration over hypersurfaces in the level set framework.
Math. Comput., 2018

An implicit boundary integral method for computing electric potential of macromolecules in solvent.
J. Comput. Phys., 2018

Hybrid multiscale affine and elastic image registration approach towards wireless capsule endoscope localization.
Biomed. Signal Process. Control., 2018

2017
Dissimilarity Measure of Consecutive Frames in Wireless Capsule Endoscopy Videos: A Way of Searching for Abnormalities.
Proceedings of the 30th IEEE International Symposium on Computer-Based Medical Systems, 2017

2016
Parareal Multiscale Methods for Highly Oscillatory Dynamical Systems.
SIAM J. Sci. Comput., 2016

2015
A Level Set Approach Reflecting Sheet Structure with Single Auxiliary Function for Evolving Spirals on Crystal Surfaces.
J. Sci. Comput., 2015

Fast sweeping methods for hyperbolic systems of conservation laws at steady state II.
J. Comput. Phys., 2015

An Elastic Image Registration Approach for Wireless Capsule Endoscope Localization.
CoRR, 2015

2014
Automated Polyp Detection in Colon Capsule Endoscopy.
IEEE Trans. Medical Imaging, 2014

Information-Seeking Control Under Visibility-Based Uncertainty.
J. Math. Imaging Vis., 2014

2013
Optimal Trajectories of Curvature Constrained Motion in the Hamilton-Jacobi Formulation.
J. Sci. Comput., 2013

A Multiscale Method for Highly Oscillatory Dynamical Systems Using a Poincaré Map Type Technique.
J. Sci. Comput., 2013

An implicit interface boundary integral method for Poisson's equation on arbitrary domains.
J. Comput. Phys., 2013

Fast sweeping methods for hyperbolic systems of conservation laws at steady state.
J. Comput. Phys., 2013

2012
A Multiscale Method Coupling Network and Continuum Models in Porous Media I: Steady-State Single Phase Flow.
Multiscale Model. Simul., 2012

A Multiscale Technique for Finding Slow Manifolds of Stiff Mechanical Systems.
Multiscale Model. Simul., 2012

Information gathering control via exploratory path planning.
Proceedings of the 46th Annual Conference on Information Sciences and Systems, 2012

2011
Gaussian beam decomposition of high frequency wave fields using expectation-maximization.
J. Comput. Phys., 2011

2010
A level set method for the semiclassical limit of the Schrödinger equation with discontinuous potentials.
J. Comput. Phys., 2010

Diffusion generated motion using signed distance functions.
J. Comput. Phys., 2010

A practical path-planning algorithm for a simple car: a Hamilton-Jacobi approach.
Proceedings of the American Control Conference, 2010

2009
A multiscale method for highly oscillatory ordinary differential equations with resonance.
Math. Comput., 2009

Gaussian beam decomposition of high frequency wave fields.
J. Comput. Phys., 2009

2008
Numerical Multiscale Methods for Coupled Oscillators.
Multiscale Model. Simul., 2008

Properties of a Level Set Algorithm for the Visibility Problems.
J. Sci. Comput., 2008

Redistancing by flow of time dependent eikonal equation.
J. Comput. Phys., 2008

Discovering a Point Source in Unknown Environments.
Proceedings of the Algorithmic Foundation of Robotics VIII, 2008

2007
Robotic Path Planning and Visibility with Limited Sensor Data.
Proceedings of the American Control Conference, 2007

2006
Visibility of Point Clouds and Mapping of Unknown Environments.
Proceedings of the Advanced Concepts for Intelligent Vision Systems, 2006

2005
Fast Sweeping Methods for Static Hamilton-Jacobi Equations.
SIAM J. Numer. Anal., 2005

Heterogeneous multiscale methods for stiff ordinary differential equations.
Math. Comput., 2005

Threshold dynamics for shape reconstruction and disocclusion.
Proceedings of the 2005 International Conference on Image Processing, 2005

2003
Fast Sweeping Algorithms for a Class of Hamilton-Jacobi Equations.
SIAM J. Numer. Anal., 2003

A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations.
Math. Comput., 2003

Estimation of 3D Surface Shape and Smooth Radiance from 2D Images: A Level Set Approach.
J. Sci. Comput., 2003

Level set methods in image science.
Proceedings of the 2003 International Conference on Image Processing, 2003


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