Rongjie Lai

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 48

Top Topics

Manifold Learning

Convolutional Neural Networks

Top Venues

J. Sci. Comput.

J. Comput. Phys.

SIAM J. Imaging Sci.

Publications

Han Huang, Rongjie Lai
Unsupervised Solution Operator Learning for Mean-Field Games via Sampling-Invariant Parametrizations. CoRR (2024)
Lifu Zhang, Ji-An Li, Yang Hu, Jie Jiang, Rongjie Lai, Marcus K. Benna, Jian Shi
Emulating Complex Synapses Using Interlinked Proton Conductors. CoRR (2024)
Hao Liu, Biraj Dahal, Rongjie Lai, Wenjing Liao
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning. CoRR (2024)
Hao Liu, Alex Havrilla, Rongjie Lai, Wenjing Liao
Deep Nonparametric Estimation of Intrinsic Data Structures by Chart Autoencoders: Generalization Error and Robustness. CoRR (2023)
Fenglei Fan, Rongjie Lai, Ge Wang
Quasi-Equivalence between Width and Depth of Neural Networks. J. Mach. Learn. Res. 24 (2023)
Han Huang, Jiajia Yu, Jie Chen, Rongjie Lai
Bridging mean-field games and normalizing flows with trajectory regularization. J. Comput. Phys. 487 (2023)
Jiajia Yu, Rongjie Lai, Wuchen Li, Stanley J. Osher
A fast proximal gradient method and convergence analysis for dynamic mean field planning. Math. Comput. 93 (346) (2023)
Jiajia Yu, Rongjie Lai, Wuchen Li, Stanley J. Osher
Computational mean-field games on manifolds. J. Comput. Phys. 484 (2023)
Pengfei Jin, Tianhao Lai, Rongjie Lai, Bin Dong
NPTC-net: Narrow-Band Parallel Transport Convolutional Neural Networks on Point Clouds. J. Sci. Comput. 90 (1) (2022)
N. Joseph Tatro, Payel Das, Pin-Yu Chen, Vijil Chenthamarakshan, Rongjie Lai
Learning Geometrically Disentangled Representations of Protein Folding Simulations. CoRR (2022)
Han Huang, Jiajia Yu, Jie Chen, Rongjie Lai
Bridging Mean-Field Games and Normalizing Flows with Trajectory Regularization. CoRR (2022)
Dayang Wang, FenglLei Fan, Bojian Hou, Hao Zhang, Rongjie Lai, Hengyong Yu, Fei Wang
Manifoldron: Direct Space Partition via Manifold Discovery. CoRR (2022)
Stefan C. Schonsheck, Bin Dong, Rongjie Lai
Parallel Transport Convolution: Deformable Convolutional Networks on Manifold-Structured Data. SIAM J. Imaging Sci. 15 (1) (2022)
Stefan C. Schonsheck, Scott Mahan, Timo Klock, Alexander Cloninger, Rongjie Lai
Semi-Supervised Manifold Learning with Complexity Decoupled Chart Autoencoders. CoRR (2022)
Jiajia Yu, Rongjie Lai, Wuchen Li, Stanley J. Osher
A Fast Proximal Gradient Method and Convergence Analysis for Dynamic Mean Field Planning. CoRR (2021)
Omri Azencot, Rongjie Lai
A Data-Driven Approach to Functional Map Construction and Bases Pursuit. Comput. Graph. Forum 40 (5) (2021)
Wonjun Lee, Rongjie Lai, Wuchen Li, Stanley J. Osher
Generalized unnormalized optimal transport and its fast algorithms. J. Comput. Phys. 436 (2021)
Rui Xiang, Rongjie Lai, Hongkai Zhao
A Dual Iterative Refinement Method for Non-Rigid Shape Matching. CVPR (2021)
Stefan C. Schonsheck, Michael M. Bronstein, Rongjie Lai
Nonisometric Surface Registration via Conformal Laplace-Beltrami Basis Pursuit. J. Sci. Comput. 86 (3) (2021)
Fenglei Fan, Mengzhou Li, Fei Wang, Rongjie Lai, Ge Wang
Expressivity and Trainability of Quadratic Networks. CoRR (2021)
Rui Xiang, Rongjie Lai, Hongkai Zhao
Efficient and Robust Shape Correspondence via Sparsity-Enforced Quadratic Assignment. CoRR (2020)
N. Joseph Tatro, Pin-Yu Chen, Payel Das, Igor Melnyk, Prasanna Sattigeri, Rongjie Lai
Optimizing Mode Connectivity via Neuron Alignment. CoRR (2020)
Rui Xiang, Rongjie Lai, Hongkai Zhao
A Dual Iterative Refinement Method for Non-rigid Shape Matching. CoRR (2020)
N. Joseph Tatro, Pin-Yu Chen, Payel Das, Igor Melnyk, Prasanna Sattigeri, Rongjie Lai
Optimizing Mode Connectivity via Neuron Alignment. NeurIPS (2020)
Wonjun Lee, Rongjie Lai, Wuchen Li, Stanley J. Osher
Generalized Unnormalized Optimal Transport and its fast algorithms. CoRR (2020)
Rui Xiang, Rongjie Lai, Hongkai Zhao
Efficient and Robust Shape Correspondence via Sparsity-Enforced Quadratic Assignment. CVPR (2020)
N. Joseph Tatro, Stefan C. Schonsheck, Rongjie Lai
Unsupervised Geometric Disentanglement for Surfaces via CFAN-VAE. CoRR (2020)
Zheng Liu, Rongjie Lai, Huayan Zhang, Chunlin Wu
Triangulated Surface Denoising using High Order Regularization with Dynamic Weights. SIAM J. Sci. Comput. 41 (1) (2019)
Omri Azencot, Rongjie Lai
Shape Analysis via Functional Map Construction and Bases Pursuit. CoRR (2019)
Stefan C. Schonsheck, Jie Chen, Rongjie Lai
Chart Auto-Encoders for Manifold Structured Data. CoRR (2019)
Abiy Tasissa, Rongjie Lai
Exact Reconstruction of Euclidean Distance Geometry Problem Using Low-Rank Matrix Completion. IEEE Trans. Inf. Theory 65 (5) (2019)
Pengfei Jin, Tianhao Lai, Rongjie Lai, Bin Dong
NPTC-net: Narrow-Band Parallel Transport Convolutional Neural Network on Point Clouds. CoRR (2019)
Honglin Yuan, Xiaoyi Gu, Rongjie Lai, Zaiwen Wen
Global Optimization with Orthogonality Constraints via Stochastic Diffusion on Manifold. J. Sci. Comput. 80 (2) (2019)
Abiy Tasissa, Rongjie Lai
Exact Reconstruction of Euclidean Distance Geometry Problem Using Low-rank Matrix Completion. CoRR (2018)
Zhiqian Chen, Feng Chen, Rongjie Lai, Xuchao Zhang, Chang-Tien Lu
Rational Neural Networks for Approximating Graph Convolution Operator on Jump Discontinuities. ICDM (2018)
Stefan C. Schonsheck, Michael M. Bronstein, Rongjie Lai
Nonisometric Surface Registration via Conformal Laplace-Beltrami Basis Pursuit. CoRR (2018)
Stefan C. Schonsheck, Bin Dong, Rongjie Lai
Parallel Transport Convolution: A New Tool for Convolutional Neural Networks on Manifolds. CoRR (2018)
Abiy Tasissa, Rongjie Lai
Low-rank Matrix Completion in a General Non-orthogonal Basis. CoRR (2018)
Rongjie Lai, Jia Li
Manifold Based Low-Rank Regularization for Image Restoration and Semi-Supervised Learning. J. Sci. Comput. 74 (3) (2018)
Rongjie Lai, Jianfeng Lu
Point Cloud Discretization of Fokker-Planck Operators for Committor Functions. Multiscale Model. Simul. 16 (2) (2018)
Zhiqian Chen, Feng Chen, Rongjie Lai, Xuchao Zhang, Chang-Tien Lu
Rational Neural Networks for Approximating Jump Discontinuities of Graph Convolution Operator. CoRR (2018)
Rongjie Lai, Jia Li
Manifold Based Low-rank Regularization for Image Restoration and Semi-supervised Learning. CoRR (2017)
Rongjie Lai, Jia Li
Solving Partial Differential Equations on Manifolds From Incomplete Interpoint Distance. SIAM J. Sci. Comput. 39 (5) (2017)
Rongjie Lai, Jia Li
Solve Partial Differential Equations on Manifold From Incomplete Inter-Point Distance. CoRR (2017)
Wenxiang Cong, Ge Wang, Qingsong Yang, Jiang Hsieh, Jia Li, Rongjie Lai
CT Image Reconstruction in a Low Dimensional Manifold. CoRR (2017)
Zheng Liu, Rongjie Lai, Huayan Zhang, Chunlin Wu
Triangulated Surface Denoising using High Order Regularization with Dynamic Weights. CoRR (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)
Rongjie Lai, Jianfeng Lu
Localized density matrix minimization and linear-scaling algorithms. J. Comput. Phys. 315 (2016)
Rongjie Lai, Zaiwen Wen, Wotao Yin, Xianfeng Gu, Lok Ming Lui
Folding-Free Global Conformal Mapping for Genus-0 Surfaces by Harmonic Energy Minimization. J. Sci. Comput. 58 (3) (2014)
Yonggang Shi, Rongjie Lai, Danny J. J. Wang, Daniel Pelletier, David C. Mohr, Nancy L. Sicotte, Arthur W. Toga
Metric Optimization for Surface Analysis in the Laplace-Beltrami Embedding Space. IEEE Trans. Medical Imaging 33 (7) (2014)
Rongjie Lai, Stanley J. Osher
A Splitting Method for Orthogonality Constrained Problems. J. Sci. Comput. 58 (2) (2014)
Yonggang Shi, Rongjie Lai, Arthur W. Toga
Cortical Surface Reconstruction via Unified Reeb Analysis of Geometric and Topological Outliers in Magnetic Resonance Images. IEEE Trans. Medical Imaging 32 (3) (2013)
Rongjie Lai, Xue-Cheng Tai, Tony F. Chan
A Ridge and Corner Preserving Model for Surface Restoration. SIAM J. Sci. Comput. 35 (2) (2013)
Yonggang Shi, Rongjie Lai, Arthur W. Toga
Conformal Mapping via Metric Optimization with Application for Cortical Label Fusion. IPMI (2013)
Jiangyang Zhang, Rongjie Lai, C.-C. Jay Kuo
Adaptive Directional Total-Variation Model for Latent Fingerprint Segmentation. IEEE Trans. Inf. Forensics Secur. 8 (8) (2013)
Jiangyang Zhang, Rongjie Lai, C.-C. Jay Kuo
Latent fingerprint detection and segmentation with a directional total variation model. ICIP (2012)
Jian Liang, Rongjie Lai, Tsz Wai Wong, Hongkai Zhao
Geometric understanding of point clouds using Laplace-Beltrami operator. CVPR (2012)
Yonggang Shi, Rongjie Lai, Arthur W. Toga
Unified Geometry and Topology Correction for Cortical Surface Reconstruction with Intrinsic Reeb Analysis. MICCAI (1) (2012)
Jiangyang Zhang, Rongjie Lai, C.-C. Jay Kuo
Latent fingerprint segmentation with adaptive total variation model. ICB (2012)
Virginia Estellers, Dominique Zosso, Rongjie Lai, Stanley J. Osher, Jean-Philippe Thiran, Xavier Bresson
Efficient Algorithm for Level Set Method Preserving Distance Function. IEEE Trans. Image Process. 21 (12) (2012)
Yonggang Shi, Rongjie Lai, Raja Gill, Daniel Pelletier, David C. Mohr, Nancy L. Sicotte, Arthur W. Toga
Conformal Metric Optimization on Surface (CMOS) for Deformation and Mapping in Laplace-Beltrami Embedding Space. MICCAI (2) (2011)
Yonggang Shi, Rongjie Lai, Arthur W. Toga
CoRPORATE: Cortical Reconstruction by Pruning Outliers with Reeb Analysis and Topology-Preserving Evolution. IPMI (2011)
Rongjie Lai, Yonggang Shi, Nancy L. Sicotte, Arthur W. Toga
Automated corpus callosum extraction via Laplace-Beltrami nodal parcellation and intrinsic geodesic curvature flows on surfaces. ICCV (2011)
Rongjie Lai, Tony F. Chan
A framework for intrinsic image processing on surfaces. Comput. Vis. Image Underst. 115 (12) (2011)
Yonggang Shi, Rongjie Lai, Jonathan H. Morra, Ivo D. Dinov, Paul M. Thompson, Arthur W. Toga
Robust Surface Reconstruction via Laplace-Beltrami Eigen-Projection and Boundary Deformation. IEEE Trans. Medical Imaging 29 (12) (2010)
Yonggang Shi, Bo Sun, Rongjie Lai, Ivo D. Dinov, Arthur W. Toga
Automated Sulci Identification via Intrinsic Modeling of Cortical Anatomy. MICCAI (3) (2010)
Rongjie Lai, Yonggang Shi, Kevin Scheibel, Scott C. Fears, Roger P. Woods, Arthur W. Toga, Tony F. Chan
Metric-induced optimal embedding for intrinsic 3D shape analysis. CVPR (2010)
Rongjie Lai, Yonggang Shi, Ivo D. Dinov, Tony F. Chan, Arthur W. Toga
Laplace-Beltrami Nodal Counts: A New Signature for 3D Shape Analysis. ISBI (2009)
Yonggang Shi, Rongjie Lai, Sheila Krishna, Nancy L. Sicotte, Ivo D. Dinov, Arthur W. Toga
Anisotropic Laplace-Beltrami eigenmaps: Bridging Reeb graphs and skeletons. CVPR Workshops (2008)
Yonggang Shi, Rongjie Lai, Kyle C. Kern, Nancy L. Sicotte, Ivo D. Dinov, Arthur W. Toga
Harmonic Surface Mapping with Laplace-Beltrami Eigenmaps. MICCAI (2) (2008)