Hongkai Zhao

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 37

Top Topics

Intrinsic Dimension

Top Venues

SIAM J. Sci. Comput.

SIAM J. Imaging Sci.

J. Comput. Phys.

Publications

Hongkai Zhao, Sen Qiu, Meirong Bai, Luyao Wang, Zhelong Wang
Toxicity prediction and classification of Gunqile-7 with small sample based on transfer learning method. Comput. Biol. Medicine 173 (2024)
Shijun Zhang, Hongkai Zhao, Yimin Zhong, Haomin Zhou
Structured and Balanced Multi-component and Multi-layer Neural Networks. CoRR (2024)
Shijun Zhang, Jianfeng Lu, Hongkai Zhao
Deep Network Approximation: Beyond ReLU to Diverse Activation Functions. CoRR (2023)
Shijun Zhang, Jianfeng Lu, Hongkai Zhao
On Enhancing Expressive Power via Compositions of Single Fixed-Size ReLU Network. ICML (2023)
Shijun Zhang, Jianfeng Lu, Hongkai Zhao
On Enhancing Expressive Power via Compositions of Single Fixed-Size ReLU Network. CoRR (2023)
Shijun Zhang, Hongkai Zhao, Yimin Zhong, Haomin Zhou
Why Shallow Networks Struggle with Approximating and Learning High Frequency: A Numerical Study. CoRR (2023)
Li Han, Xue Shi, Jinhai He, Huiwen Ma, Feng Dou, Hongkai Zhao
Generalized unsupervised functional map learning for dense correspondence. Vis. Comput. 39 (12) (2023)
Xiaoan Zhu, Hongkai Zhao, Enjie Hu, Yubin Gao, Yudi Zhou, Dong Liu
Estimation of the Seawater Lidar Ratio by MODIS: Spatial-Temporal Characteristics and Ecological Significance. Remote. Sens. 15 (13) (2023)
Sijing Li, Cheng Zhang, Zhiwen Zhang, Hongkai Zhao
A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems. Stat. Comput. 33 (4) (2023)
Yichen Yang, Hangkai Pan, Dekang Zheng, Hongkai Zhao, Yudi Zhou, Dong Liu
Characteristics and Formation Conditions of Thin Phytoplankton Layers in the Northern Gulf of Mexico Revealed by Airborne Lidar. Remote. Sens. 14 (17) (2022)
Hongkai Zhao, Yimin Zhong
How much can one learn from a single solution of a PDE? CoRR (2022)
Sen Qiu, Hongkai Zhao, Nan Jiang, Zhelong Wang, Long Liu, Yi An, Hongyu Zhao, Xin Miao, Ruichen Liu, Giancarlo Fortino
Multi-sensor information fusion based on machine learning for real applications in human activity recognition: State-of-the-art and research challenges. Inf. Fusion 80 (2022)
Sen Qiu, Hongkai Zhao, Nan Jiang, Donghui Wu, Guangcai Song, Hongyu Zhao, Zhelong Wang
Sensor network oriented human motion capture via wearable intelligent system. Int. J. Intell. Syst. 37 (2) (2022)
Hongkai Zhao, Huihui Wang, Zhelong Wang, Long Liu, Sen Qiu
Robust Adaptive Cubature Kalman Filter for Attitude Determination in Wearable Inertial Sensor Networks. WASA (2) (2022)
Yuchen He, Hongkai Zhao, Yimin Zhong
How much can one learn a partial differential equation from its solution? CoRR (2022)
Rui Xiang, Rongjie Lai, Hongkai Zhao
A Dual Iterative Refinement Method for Non-Rigid Shape Matching. CVPR (2021)
Ji Li, Jian-Feng Cai, Hongkai Zhao
Scalable Incremental Nonconvex Optimization Approach for Phase Retrieval. J. Sci. Comput. 87 (2) (2021)
Sijing Li, Cheng Zhang, Zhiwen Zhang, Hongkai Zhao
A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems. CoRR (2021)
Kui Ren, Hongkai Zhao, Yimin Zhong
Separability of the Kernel Function in an Integral Formulation for the Anisotropic Radiative Transfer Equation. SIAM J. Math. Anal. 53 (5) (2021)
Hongkai Zhao, Yimin Zhong
approximation. CoRR (2020)
Rui Xiang, Rongjie Lai, Hongkai Zhao
Efficient and Robust Shape Correspondence via Sparsity-Enforced Quadratic Assignment. CoRR (2020)
Hongkai Zhao, Yimin Zhong
A fast algorithm for time-dependent radiative transport equation based on integral formulation. CoRR (2020)
Rui Xiang, Rongjie Lai, Hongkai Zhao
A Dual Iterative Refinement Method for Non-rigid Shape Matching. CoRR (2020)
Sijing Li, Zhiwen Zhang, Hongkai Zhao
A Data-Driven Approach for Multiscale Elliptic PDEs with Random Coefficients Based on Intrinsic Dimension Reduction. Multiscale Model. Simul. 18 (3) (2020)
Rui Xiang, Rongjie Lai, Hongkai Zhao
Efficient and Robust Shape Correspondence via Sparsity-Enforced Quadratic Assignment. CVPR (2020)
Kui Ren, Hongkai Zhao, Yimin Zhong
Separability of the kernel function in an integral formulation for anisotropic radiative transfer equation. CoRR (2019)
Hongfeng Li, Hongkai Zhao, Hong Li
Neural-Response-Based Extreme Learning Machine for Image Classification. IEEE Trans. Neural Networks Learn. Syst. 30 (2) (2019)
Jennifer Bryson, Hongkai Zhao, Yimin Zhong
Intrinsic Complexity and Scaling Laws: From Random Fields to Random Vectors. Multiscale Model. Simul. 17 (1) (2019)
Sijing Li, Zhiwen Zhang, Hongkai Zhao
A data-driven approach for multiscale elliptic PDEs with random coefficients based on intrinsic dimension reduction. CoRR (2019)
Hongkai Zhao, Yimin Zhong
A Hybrid Adaptive Phase Space Method for Reflection Traveltime Tomography. SIAM J. Imaging Sci. 12 (1) (2019)
Hongkai Zhao, Yimin Zhong
Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit. SIAM J. Math. Anal. 51 (5) (2019)
Meng Wang, Shingyu Leung, Hongkai Zhao
Modified Virtual Grid Difference for Discretizing the Laplace-Beltrami Operator on Point Clouds. SIAM J. Sci. Comput. 40 (1) (2018)
Jun Fang, Jianliang Qian, Leonardo Zepeda-Núñez, Hongkai Zhao
A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media. J. Comput. Phys. 371 (2018)
Cheng Zhang, Babak Shahbaba, Hongkai Zhao
Hamiltonian Monte Carlo acceleration using surrogate functions with random bases. Stat. Comput. 27 (6) (2017)
Cheng Zhang, Babak Shahbaba, Hongkai Zhao
Precomputing strategy for Hamiltonian Monte Carlo method based on regularity in parameter space. Comput. Stat. 32 (1) (2017)
Rongjie Lai, Hongkai Zhao
Multiscale Nonrigid Point Cloud Registration Using Rotation-Invariant Sliced-Wasserstein Distance via Laplace-Beltrami Eigenmap. SIAM J. Imaging Sci. 10 (2) (2017)
Leonardo Zepeda-Núñez, Hongkai Zhao
Fast Alternating BiDirectional Preconditioner for the 2D High-Frequency Lippmann-Schwinger Equation. SIAM J. Sci. Comput. 38 (5) (2016)
Hayden Schaeffer, Yi Yang, Hongkai Zhao, Stanley J. Osher
Real-Time Adaptive Video Compression. SIAM J. Sci. Comput. 37 (6) (2015)
Zhilin Li, Li Xiao, Qin Cai, Hongkai Zhao, Ray Luo
A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions. J. Comput. Phys. 297 (2015)
Tsz Wai Wong, Hongkai Zhao
Computing Surface Uniformization Using Discrete Beltrami Flow. SIAM J. Sci. Comput. 37 (3) (2015)
Tsz Wai Wong, Hongkai Zhao
Computation of Quasi-Conformal Surface Maps Using Discrete Beltrami Flow. SIAM J. Imaging Sci. 7 (4) (2014)
Yifei Lou, Ernie Esser, Hongkai Zhao, Jack Xin
Partially Blind Deblurring of Barcode from Out-of-Focus Blur. SIAM J. Imaging Sci. 7 (2) (2014)
Tariq D. Aslam, Songting Luo, Hongkai Zhao
A static PDE Approach for MultiDimensional Extrapolation Using Fast Sweeping Methods. SIAM J. Sci. Comput. 36 (6) (2014)
Sean Y. Hon, Shingyu Leung, Hongkai Zhao
A cell based particle method for modeling dynamic interfaces. J. Comput. Phys. 272 (2014)
Jian-Feng Cai, Xun Jia, Hao Gao, Steve B. Jiang, Zuowei Shen, Hongkai Zhao
Cine Cone Beam CT Reconstruction Using Low-Rank Matrix Factorization: Algorithm and a Proof-of-Principle Study. IEEE Trans. Medical Imaging 33 (8) (2014)
Kui Ren, Hao Gao, Hongkai Zhao
A Hybrid Reconstruction Method for Quantitative PAT. SIAM J. Imaging Sci. 6 (1) (2013)
Kui Ren, Hongkai Zhao
Quantitative Fluorescence Photoacoustic Tomography. SIAM J. Imaging Sci. 6 (4) (2013)
Kai Huang, Peijun Li, Hongkai Zhao
An efficient algorithm for the generalized Foldy-Lax formulation. J. Comput. Phys. 234 (2013)
Songming Hou, Peng Song, Liqun Wang, Hongkai Zhao
A weak formulation for solving elliptic interface problems without body fitted grid. J. Comput. Phys. 249 (2013)
Jian Liang, Frederick Park, Hongkai Zhao
Robust and Efficient Implicit Surface Reconstruction for Point Clouds Based on Convexified Image Segmentation. J. Sci. Comput. 54 (2-3) (2013)
Hao Gao, Hongkai Zhao
Analysis of a numerical solver for radiative transport equation. Math. Comput. 82 (281) (2013)
Jian Liang, Hongkai Zhao
Solving Partial Differential Equations on Point Clouds. SIAM J. Sci. Comput. 35 (3) (2013)
Jian Liang, Rongjie Lai, Tsz Wai Wong, Hongkai Zhao
Geometric understanding of point clouds using Laplace-Beltrami operator. CVPR (2012)
Yong-Tao Zhang, Shanqin Chen, Fengyan Li, Hongkai Zhao, Chi-Wang Shu
Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations. SIAM J. Sci. Comput. 33 (4) (2011)
Songting Luo, Yifeng Yu, Hongkai Zhao
A New Approximation for Effective Hamiltonians for Homogenization of a class of Hamilton-Jacobi Equations. Multiscale Model. Simul. 9 (2) (2011)
Shingyu Leung, John S. Lowengrub, Hongkai Zhao
A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. J. Comput. Phys. 230 (7) (2011)
Jianliang Qian, Plamen Stefanov, Gunther Uhlmann, Hongkai Zhao
An Efficient Neumann Series-Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed. SIAM J. Imaging Sci. 4 (3) (2011)
Kai Huang, Knut Sølna, Hongkai Zhao
Generalized Foldy-Lax formulation. J. Comput. Phys. 229 (12) (2010)
Yongjian Xi, Ye Duan, Hongkai Zhao
A nonparametric approach for noisy point data preprocessing. CAD/Graphics (2009)
Shingyu Leung, Hongkai Zhao
A grid based particle method for evolution of open curves and surfaces. J. Comput. Phys. 228 (20) (2009)
Shingyu Leung, Gang Liang, Knut Solna, Hongkai Zhao
Expectation-Maximization Algorithm with Local Adaptivity. SIAM J. Imaging Sci. 2 (3) (2009)
Sergey Fomel, Songting Luo, Hongkai Zhao
Fast sweeping method for the factored eikonal equation. J. Comput. Phys. 228 (17) (2009)
Shingyu Leung, Hongkai Zhao
A grid based particle method for moving interface problems. J. Comput. Phys. 228 (8) (2009)
Fengyan Li, Chi-Wang Shu, Yong-Tao Zhang, Hongkai Zhao
A second order discontinuous Galerkin fast sweeping method for Eikonal equations. J. Comput. Phys. 227 (17) (2008)
Ming Jiang, Alfred K. Louis, Didier Wolf, Hongkai Zhao, Christian Daul, Zhaotian Zhang, Tie Zhou
Mathematics in Biomedical Imaging. Int. J. Biomed. Imaging 2007 (2007)
Kai Huang, George Papanicolaou, Knut Sølna, Chrysoula Tsogka, Hongkai Zhao
Efficient numerical simulation for long range wave propagation. J. Comput. Phys. 215 (2) (2006)
Jian-Jun Xu, Zhilin Li, John S. Lowengrub, Hongkai Zhao
A level-set method for interfacial flows with surfactant. J. Comput. Phys. 212 (2) (2006)
DanFeng Lu, Hongkai Zhao, Ming Jiang, ShuLin Zhou, Tie Zhou
A Surface Reconstruction Method for Highly Noisy Point Clouds. VLSM (2005)
Hongkai Zhao
A fast sweeping method for Eikonal equations. Math. Comput. 74 (250) (2005)
Hongkai Zhao
Analysis of the Response Matrix for an Extended Target. SIAM J. Appl. Math. 64 (3) (2004)