Hongkai Zhao

Orcid: 0000-0002-2358-9028

According to our database1, Hongkai Zhao authored at least 69 papers between 2000 and 2023.

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

Timeline

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Bibliography

2023
Generalized unsupervised functional map learning for dense correspondence.
Vis. Comput., December, 2023

A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems.
Stat. Comput., August, 2023

Estimation of the Seawater Lidar Ratio by MODIS: Spatial-Temporal Characteristics and Ecological Significance.
Remote. Sens., July, 2023

Deep Network Approximation: Beyond ReLU to Diverse Activation Functions.
CoRR, 2023

Why Shallow Networks Struggle with Approximating and Learning High Frequency: A Numerical Study.
CoRR, 2023

On Enhancing Expressive Power via Compositions of Single Fixed-Size ReLU Network.
Proceedings of the International Conference on Machine Learning, 2023

2022
Characteristics and Formation Conditions of Thin Phytoplankton Layers in the Northern Gulf of Mexico Revealed by Airborne Lidar.
Remote. Sens., 2022

Multi-sensor information fusion based on machine learning for real applications in human activity recognition: State-of-the-art and research challenges.
Inf. Fusion, 2022

Sensor network oriented human motion capture via wearable intelligent system.
Int. J. Intell. Syst., 2022

How much can one learn from a single solution of a PDE?
CoRR, 2022

How much can one learn a partial differential equation from its solution?
CoRR, 2022

Robust Adaptive Cubature Kalman Filter for Attitude Determination in Wearable Inertial Sensor Networks.
Proceedings of the Wireless Algorithms, Systems, and Applications, 2022

2021
Separability of the Kernel Function in an Integral Formulation for the Anisotropic Radiative Transfer Equation.
SIAM J. Math. Anal., 2021

Scalable Incremental Nonconvex Optimization Approach for Phase Retrieval.
J. Sci. Comput., 2021

A Dual Iterative Refinement Method for Non-Rigid Shape Matching.
Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2021

2020
A Data-Driven Approach for Multiscale Elliptic PDEs with Random Coefficients Based on Intrinsic Dimension Reduction.
Multiscale Model. Simul., 2020

Quantitative PAT with simplified P<sub>N</sub> approximation.
CoRR, 2020

A fast algorithm for time-dependent radiative transport equation based on integral formulation.
CoRR, 2020

Efficient and Robust Shape Correspondence via Sparsity-Enforced Quadratic Assignment.
Proceedings of the 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2020

2019
Neural-Response-Based Extreme Learning Machine for Image Classification.
IEEE Trans. Neural Networks Learn. Syst., 2019

Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit.
SIAM J. Math. Anal., 2019

A Hybrid Adaptive Phase Space Method for Reflection Traveltime Tomography.
SIAM J. Imaging Sci., 2019

Intrinsic Complexity and Scaling Laws: From Random Fields to Random Vectors.
Multiscale Model. Simul., 2019

2018
Modified Virtual Grid Difference for Discretizing the Laplace-Beltrami Operator on Point Clouds.
SIAM J. Sci. Comput., 2018

A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media.
J. Comput. Phys., 2018

2017
Multiscale Nonrigid Point Cloud Registration Using Rotation-Invariant Sliced-Wasserstein Distance via Laplace-Beltrami Eigenmap.
SIAM J. Imaging Sci., 2017

Hamiltonian Monte Carlo acceleration using surrogate functions with random bases.
Stat. Comput., 2017

Precomputing strategy for Hamiltonian Monte Carlo method based on regularity in parameter space.
Comput. Stat., 2017

2016
Fast Alternating BiDirectional Preconditioner for the 2D High-Frequency Lippmann-Schwinger Equation.
SIAM J. Sci. Comput., 2016

2015
Computing Surface Uniformization Using Discrete Beltrami Flow.
SIAM J. Sci. Comput., 2015

Real-Time Adaptive Video Compression.
SIAM J. Sci. Comput., 2015

A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions.
J. Comput. Phys., 2015

2014
Cine Cone Beam CT Reconstruction Using Low-Rank Matrix Factorization: Algorithm and a Proof-of-Principle Study.
IEEE Trans. Medical Imaging, 2014

A static PDE Approach for MultiDimensional Extrapolation Using Fast Sweeping Methods.
SIAM J. Sci. Comput., 2014

Computation of Quasi-Conformal Surface Maps Using Discrete Beltrami Flow.
SIAM J. Imaging Sci., 2014

Partially Blind Deblurring of Barcode from Out-of-Focus Blur.
SIAM J. Imaging Sci., 2014

A cell based particle method for modeling dynamic interfaces.
J. Comput. Phys., 2014

2013
Solving Partial Differential Equations on Point Clouds.
SIAM J. Sci. Comput., 2013

Quantitative Fluorescence Photoacoustic Tomography.
SIAM J. Imaging Sci., 2013

A Hybrid Reconstruction Method for Quantitative PAT.
SIAM J. Imaging Sci., 2013

Analysis of a numerical solver for radiative transport equation.
Math. Comput., 2013

Robust and Efficient Implicit Surface Reconstruction for Point Clouds Based on Convexified Image Segmentation.
J. Sci. Comput., 2013

An efficient algorithm for the generalized Foldy-Lax formulation.
J. Comput. Phys., 2013

A weak formulation for solving elliptic interface problems without body fitted grid.
J. Comput. Phys., 2013

Point Cloud Segmentation and Denoising via Constrained Nonlinear Least Squares Normal Estimates.
Proceedings of the Innovations for Shape Analysis, Models and Algorithms, 2013

2012
Geometric understanding of point clouds using Laplace-Beltrami operator.
Proceedings of the 2012 IEEE Conference on Computer Vision and Pattern Recognition, 2012

2011
Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations.
SIAM J. Sci. Comput., 2011

An Efficient Neumann Series-Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed.
SIAM J. Imaging Sci., 2011

A New Approximation for Effective Hamiltonians for Homogenization of a class of Hamilton-Jacobi Equations.
Multiscale Model. Simul., 2011

A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion.
J. Comput. Phys., 2011

2010
Generalized Foldy-Lax formulation.
J. Comput. Phys., 2010

2009
Expectation-Maximization Algorithm with Local Adaptivity.
SIAM J. Imaging Sci., 2009

A grid based particle method for evolution of open curves and surfaces.
J. Comput. Phys., 2009

A grid based particle method for moving interface problems.
J. Comput. Phys., 2009

Fast sweeping method for the factored eikonal equation.
J. Comput. Phys., 2009

A nonparametric approach for noisy point data preprocessing.
Proceedings of the 11th International Conference on Computer-Aided Design and Computer Graphics, 2009

2008
A second order discontinuous Galerkin fast sweeping method for Eikonal equations.
J. Comput. Phys., 2008

2007
Fast Sweeping Methods for Eikonal Equations on Triangular Meshes.
SIAM J. Numer. Anal., 2007

A Fast Sweeping Method for Static Convex Hamilton-Jacobi Equations.
J. Sci. Comput., 2007

Mathematics in Biomedical Imaging.
Int. J. Biomed. Imaging, 2007

2006
High Order Fast Sweeping Methods for Static Hamilton-Jacobi Equations.
J. Sci. Comput., 2006

A level-set method for interfacial flows with surfactant.
J. Comput. Phys., 2006

Efficient numerical simulation for long range wave propagation.
J. Comput. Phys., 2006

2005
A fast sweeping method for Eikonal equations.
Math. Comput., 2005

A Surface Reconstruction Method for Highly Noisy Point Clouds.
Proceedings of the Variational, 2005

2004
Analysis of the Response Matrix for an Extended Target.
SIAM J. Appl. Math., 2004

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

An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface.
J. Sci. Comput., 2003

2000
Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method.
Comput. Vis. Image Underst., 2000


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