Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method. - Hong-Kai Zhao; Stanley J. Osher; Barry Merriman; Myungjoo Kang (Comput. Vis. Image Underst., 2000)

An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface. - Jian-Jun Xu; Hong-Kai Zhao (J. Sci. Comput., 2003)

Fast Sweeping Algorithms for a Class of Hamilton-Jacobi Equations. - Yen-Hsi Richard Tsai; Li-Tien Cheng; Stanley J. Osher; Hong-Kai Zhao (SIAM J. Numer. Anal., 2003)

Analysis of the Response Matrix for an Extended Target. - Hongkai Zhao (SIAM J. Appl. Math., 2004)

A Surface Reconstruction Method for Highly Noisy Point Clouds. - DanFeng Lu; Hongkai Zhao; Ming Jiang 001; ShuLin Zhou; Tie Zhou (VLSM, 2005)

A fast sweeping method for Eikonal equations. - Hongkai Zhao (Math. Comput., 2005)

Efficient numerical simulation for long range wave propagation. - Kai Huang; George Papanicolaou; Knut Sølna; Chrysoula Tsogka; Hongkai Zhao (J. Comput. Phys., 2006)

A level-set method for interfacial flows with surfactant. - Jian-Jun Xu; Zhilin Li 002; John S. Lowengrub; Hongkai Zhao (J. Comput. Phys., 2006)

High Order Fast Sweeping Methods for Static Hamilton-Jacobi Equations. - Yong-Tao Zhang; Hong-Kai Zhao; Jianliang Qian (J. Sci. Comput., 2006)

Mathematics in Biomedical Imaging. - Ming Jiang 001; Alfred K. Louis; Didier Wolf; Hongkai Zhao; Christian Daul; Zhaotian Zhang; Tie Zhou (Int. J. Biomed. Imaging, 2007)

A Fast Sweeping Method for Static Convex Hamilton-Jacobi Equations. - Jianliang Qian; Yong-Tao Zhang; Hong-Kai Zhao (J. Sci. Comput., 2007)

Fast Sweeping Methods for Eikonal Equations on Triangular Meshes. - Jianliang Qian; Yong-Tao Zhang; Hong-Kai Zhao (SIAM J. Numer. Anal., 2007)

A second order discontinuous Galerkin fast sweeping method for Eikonal equations. - Fengyan Li; Chi-Wang Shu; Yong-Tao Zhang; Hongkai Zhao (J. Comput. Phys., 2008)

A nonparametric approach for noisy point data preprocessing. - Yongjian Xi; Ye Duan; Hongkai Zhao (CAD/Graphics, 2009)

Fast sweeping method for the factored eikonal equation. - Sergey Fomel; Songting Luo; Hongkai Zhao (J. Comput. Phys., 2009)

A grid based particle method for moving interface problems. - Shingyu Leung; Hongkai Zhao (J. Comput. Phys., 2009)

A grid based particle method for evolution of open curves and surfaces. - Shingyu Leung; Hongkai Zhao (J. Comput. Phys., 2009)

Expectation-Maximization Algorithm with Local Adaptivity. - Shingyu Leung; Gang Liang; Knut Solna; Hongkai Zhao (SIAM J. Imaging Sci., 2009)

Generalized Foldy-Lax formulation. - Kai Huang; Knut Sølna; Hongkai Zhao (J. Comput. Phys., 2010)

A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. - Shingyu Leung; John S. Lowengrub; Hongkai Zhao (J. Comput. Phys., 2011)

A New Approximation for Effective Hamiltonians for Homogenization of a class of Hamilton-Jacobi Equations. - Songting Luo; Yifeng Yu; Hongkai Zhao (Multiscale Model. Simul., 2011)

An Efficient Neumann Series-Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed. - Jianliang Qian; Plamen Stefanov; Gunther Uhlmann; Hongkai Zhao (SIAM J. Imaging Sci., 2011)

Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations. - Yong-Tao Zhang; Shanqin Chen; Fengyan Li; Hongkai Zhao; Chi-Wang Shu (SIAM J. Sci. Comput., 2011)

Geometric understanding of point clouds using Laplace-Beltrami operator. - Jian Liang; Rongjie Lai; Tsz Wai Wong; Hongkai Zhao (CVPR, 2012)

Point Cloud Segmentation and Denoising via Constrained Nonlinear Least Squares Normal Estimates. - Edward Castillo; Jian Liang; Hongkai Zhao (Innovations for Shape Analysis, Models and Algorithms, 2013)

A weak formulation for solving elliptic interface problems without body fitted grid. - Songming Hou; Peng Song 017; Liqun Wang; Hongkai Zhao (J. Comput. Phys., 2013)

An efficient algorithm for the generalized Foldy-Lax formulation. - Kai Huang; Peijun Li; Hongkai Zhao (J. Comput. Phys., 2013)

Robust and Efficient Implicit Surface Reconstruction for Point Clouds Based on Convexified Image Segmentation. - Jian Liang; Frederick Park; Hongkai Zhao (J. Sci. Comput., 2013)

Analysis of a numerical solver for radiative transport equation. - Hao Gao; Hongkai Zhao (Math. Comput., 2013)

A Hybrid Reconstruction Method for Quantitative PAT. - Kui Ren 002; Hao Gao; Hongkai Zhao (SIAM J. Imaging Sci., 2013)

Quantitative Fluorescence Photoacoustic Tomography. - Kui Ren 002; Hongkai Zhao (SIAM J. Imaging Sci., 2013)

Solving Partial Differential Equations on Point Clouds. - Jian Liang; Hongkai Zhao (SIAM J. Sci. Comput., 2013)

A cell based particle method for modeling dynamic interfaces. - Sean Y. Hon; Shingyu Leung; Hongkai Zhao (J. Comput. Phys., 2014)

Partially Blind Deblurring of Barcode from Out-of-Focus Blur. - Yifei Lou; Ernie Esser; Hongkai Zhao; Jack Xin (SIAM J. Imaging Sci., 2014)

Computation of Quasi-Conformal Surface Maps Using Discrete Beltrami Flow. - Tsz Wai Wong; Hongkai Zhao (SIAM J. Imaging Sci., 2014)

A static PDE Approach for MultiDimensional Extrapolation Using Fast Sweeping Methods. - Tariq D. Aslam; Songting Luo; Hongkai Zhao (SIAM J. Sci. Comput., 2014)

Cine Cone Beam CT Reconstruction Using Low-Rank Matrix Factorization: Algorithm and a Proof-of-Principle Study. - Jian-Feng Cai 001; Xun Jia; Hao Gao; Steve B. Jiang; Zuowei Shen; Hongkai Zhao (IEEE Trans. Medical Imaging, 2014)

A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions. - Zhilin Li 002; Li Xiao; Qin Cai; Hongkai Zhao; Ray Luo 001 (J. Comput. Phys., 2015)

Real-Time Adaptive Video Compression. - Hayden Schaeffer; Yi Yang 010; Hongkai Zhao; Stanley J. Osher (SIAM J. Sci. Comput., 2015)

Computing Surface Uniformization Using Discrete Beltrami Flow. - Tsz Wai Wong; Hongkai Zhao (SIAM J. Sci. Comput., 2015)

Fast Alternating BiDirectional Preconditioner for the 2D High-Frequency Lippmann-Schwinger Equation. - Leonardo Zepeda-Núñez; Hongkai Zhao (SIAM J. Sci. Comput., 2016)

Precomputing strategy for Hamiltonian Monte Carlo method based on regularity in parameter space. - Cheng Zhang; Babak Shahbaba; Hongkai Zhao (Comput. Stat., 2017)

Hamiltonian Monte Carlo acceleration using surrogate functions with random bases. - Cheng Zhang; Babak Shahbaba; Hongkai Zhao (Stat. Comput., 2017)

Multiscale Nonrigid Point Cloud Registration Using Rotation-Invariant Sliced-Wasserstein Distance via Laplace-Beltrami Eigenmap. - Rongjie Lai; Hongkai Zhao (SIAM J. Imaging Sci., 2017)

A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media. - Jun Fang 004; Jianliang Qian; Leonardo Zepeda-Núñez; Hongkai Zhao (J. Comput. Phys., 2018)

Modified Virtual Grid Difference for Discretizing the Laplace-Beltrami Operator on Point Clouds. - Meng Wang; Shingyu Leung; Hongkai Zhao (SIAM J. Sci. Comput., 2018)

Intrinsic Complexity and Scaling Laws: From Random Fields to Random Vectors. - Jennifer Bryson; Hongkai Zhao; Yimin Zhong (Multiscale Model. Simul., 2019)

A Hybrid Adaptive Phase Space Method for Reflection Traveltime Tomography. - Hongkai Zhao; Yimin Zhong (SIAM J. Imaging Sci., 2019)

Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit. - Hongkai Zhao; Yimin Zhong (SIAM J. Math. Anal., 2019)

Neural-Response-Based Extreme Learning Machine for Image Classification. - Hongfeng Li; Hongkai Zhao; Hong Li 009 (IEEE Trans. Neural Networks Learn. Syst., 2019)

Efficient and Robust Shape Correspondence via Sparsity-Enforced Quadratic Assignment. - Rui Xiang; Rongjie Lai; Hongkai Zhao (CVPR, 2020)

A fast algorithm for time-dependent radiative transport equation based on integral formulation. - Hongkai Zhao; Yimin Zhong (CoRR, 2020)

Quantitative PAT with simplified PN approximation. - Hongkai Zhao; Yimin Zhong (CoRR, 2020)

A Data-Driven Approach for Multiscale Elliptic PDEs with Random Coefficients Based on Intrinsic Dimension Reduction. - Sijing Li; Zhiwen Zhang 001; Hongkai Zhao (Multiscale Model. Simul., 2020)

A Dual Iterative Refinement Method for Non-Rigid Shape Matching. - Rui Xiang; Rongjie Lai; Hongkai Zhao (CVPR, 2021)

Scalable Incremental Nonconvex Optimization Approach for Phase Retrieval. - Ji Li; Jian-Feng Cai 001; Hongkai Zhao (J. Sci. Comput., 2021)

Separability of the Kernel Function in an Integral Formulation for the Anisotropic Radiative Transfer Equation. - Kui Ren 002; Hongkai Zhao; Yimin Zhong (SIAM J. Math. Anal., 2021)

Robust Adaptive Cubature Kalman Filter for Attitude Determination in Wearable Inertial Sensor Networks. - Hongkai Zhao; Huihui Wang; Zhelong Wang; Long Liu; Sen Qiu (WASA (2), 2022)

How much can one learn from a single solution of a PDE? - Hongkai Zhao; Yimin Zhong (CoRR, 2022)

Sensor network oriented human motion capture via wearable intelligent system. - Sen Qiu; Hongkai Zhao; Nan Jiang 013; Donghui Wu; Guangcai Song; Hongyu Zhao 001; Zhelong Wang (Int. J. Intell. Syst., 2022)

Multi-sensor information fusion based on machine learning for real applications in human activity recognition: State-of-the-art and research challenges. - Sen Qiu; Hongkai Zhao; Nan Jiang 013; Zhelong Wang; Long Liu; Yi An; Hongyu Zhao 001; Xin Miao; Ruichen Liu; Giancarlo Fortino (Inf. Fusion, 2022)

Characteristics and Formation Conditions of Thin Phytoplankton Layers in the Northern Gulf of Mexico Revealed by Airborne Lidar. - Yichen Yang 001; Hangkai Pan; Dekang Zheng; Hongkai Zhao; Yudi Zhou; Dong Liu 020 (Remote. Sens., 2022)

On Enhancing Expressive Power via Compositions of Single Fixed-Size ReLU Network. - Shijun Zhang; Jianfeng Lu 001; Hongkai Zhao (ICML, 2023)

Why Shallow Networks Struggle with Approximating and Learning High Frequency: A Numerical Study. - Shijun Zhang; Hongkai Zhao; Yimin Zhong; Haomin Zhou 001 (CoRR, 2023)

Estimation of the Seawater Lidar Ratio by MODIS: Spatial-Temporal Characteristics and Ecological Significance. - Xiaoan Zhu; Hongkai Zhao; Enjie Hu; Yubin Gao; Yudi Zhou; Dong Liu 020 (Remote. Sens., 2023)

A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems. - Sijing Li; Cheng Zhang; Zhiwen Zhang 001; Hongkai Zhao (Stat. Comput., 2023)

Generalized unsupervised functional map learning for dense correspondence. - Li Han; Xue Shi; Jinhai He; Huiwen Ma; Feng Dou; Hongkai Zhao (Vis. Comput., 2023)

Toxicity prediction and classification of Gunqile-7 with small sample based on transfer learning method. - Hongkai Zhao; Sen Qiu; Meirong Bai; Luyao Wang; Zhelong Wang (Comput. Biol. Medicine, 2024)

Structured and Balanced Multi-component and Multi-layer Neural Networks. - Shijun Zhang; Hongkai Zhao; Yimin Zhong; Haomin Zhou 001 (CoRR, 2024)

Deep Network Approximation: Beyond ReLU to Diverse Activation Functions. - Shijun Zhang; Jianfeng Lu 001; Hongkai Zhao (J. Mach. Learn. Res., 2024)

ST-GWLR: combining geographically weighted logistic regression and spatiotemporal hotspot trend analysis to explore the effect of built environment on traffic crash. - Xinyu Qu; Xiongwu Xiao; Xinyan Zhu; Zhenfeng Shao; Mi Wang; Huayi Wu; Hongkai Zhao; Jianya Gong; Deren Li (Geo spatial Inf. Sci., 2024)

How Much Can One Learn a Partial Differential Equation from Its Solution? - Yuchen He; Hongkai Zhao; Yimin Zhong (Found. Comput. Math., 2024)

Lidar-Observed Diel Vertical Variations of Inland Chlorophyll a Concentration. - Hongkai Zhao; Yudi Zhou; Qiuling Gu; Yicai Han; Hongda Wu; Peituo Xu; Lei Lin; Weige Lv; Lan Wu; Lingyun Wu; Chengchong Jiang; Yang Chen; et al. (Remote. Sens., 2024)

EEG-Based Detection for Depth of Sedation Using Spectro-Temporal Information in ICU Patients. - Ke Zhang; Shiguo Zang; Zhenglin Li; Zhelong Wang; Ying Ji; Hongkai Zhao (CSCWD, 2025)

Fourier Multi-Component and Multi-Layer Neural Networks: Unlocking High-Frequency Potential. - Shijun Zhang; Hongkai Zhao; Yimin Zhong; Haomin Zhou 001 (CoRR, 2025)