Anisotropic Laplace-Beltrami eigenmaps: Bridging Reeb graphs and skeletons. - Yonggang Shi; Rongjie Lai; Sheila Krishna; Nancy L. Sicotte; Ivo D. Dinov; Arthur W. Toga (CVPR Workshops, 2008)

Harmonic Surface Mapping with Laplace-Beltrami Eigenmaps. - Yonggang Shi; Rongjie Lai; Kyle C. Kern; Nancy L. Sicotte; Ivo D. Dinov; Arthur W. Toga (MICCAI (2), 2008)

Laplace-Beltrami Nodal Counts: A New Signature for 3D Shape Analysis. - Rongjie Lai; Yonggang Shi; Ivo D. Dinov; Tony F. Chan; Arthur W. Toga (ISBI, 2009)

Metric-induced optimal embedding for intrinsic 3D shape analysis. - Rongjie Lai; Yonggang Shi; Kevin Scheibel; Scott C. Fears; Roger P. Woods; Arthur W. Toga; Tony F. Chan (CVPR, 2010)

Automated Sulci Identification via Intrinsic Modeling of Cortical Anatomy. - Yonggang Shi; Bo Sun; Rongjie Lai; Ivo D. Dinov; Arthur W. Toga (MICCAI (3), 2010)

Robust Surface Reconstruction via Laplace-Beltrami Eigen-Projection and Boundary Deformation. - Yonggang Shi; Rongjie Lai; Jonathan H. Morra; Ivo D. Dinov; Paul M. Thompson; Arthur W. Toga (IEEE Trans. Medical Imaging, 2010)

Automated corpus callosum extraction via Laplace-Beltrami nodal parcellation and intrinsic geodesic curvature flows on surfaces. - Rongjie Lai; Yonggang Shi; Nancy L. Sicotte; Arthur W. Toga (ICCV, 2011)

CoRPORATE: Cortical Reconstruction by Pruning Outliers with Reeb Analysis and Topology-Preserving Evolution. - Yonggang Shi; Rongjie Lai; Arthur W. Toga (IPMI, 2011)

Conformal Metric Optimization on Surface (CMOS) for Deformation and Mapping in Laplace-Beltrami Embedding Space. - Yonggang Shi; Rongjie Lai; Raja Gill; Daniel Pelletier; David C. Mohr; Nancy L. Sicotte; Arthur W. Toga (MICCAI (2), 2011)

A framework for intrinsic image processing on surfaces. - Rongjie Lai; Tony F. Chan (Comput. Vis. Image Underst., 2011)

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

Latent fingerprint segmentation with adaptive total variation model. - Jiangyang Zhang; Rongjie Lai; C.-C. Jay Kuo (ICB, 2012)

Latent fingerprint detection and segmentation with a directional total variation model. - Jiangyang Zhang; Rongjie Lai; C.-C. Jay Kuo (ICIP, 2012)

Unified Geometry and Topology Correction for Cortical Surface Reconstruction with Intrinsic Reeb Analysis. - Yonggang Shi; Rongjie Lai; Arthur W. Toga (MICCAI (1), 2012)

Efficient Algorithm for Level Set Method Preserving Distance Function. - Virginia Estellers; Dominique Zosso; Rongjie Lai; Stanley J. Osher; Jean-Philippe Thiran; Xavier Bresson (IEEE Trans. Image Process., 2012)

Conformal Mapping via Metric Optimization with Application for Cortical Label Fusion. - Yonggang Shi; Rongjie Lai; Arthur W. Toga (IPMI, 2013)

A Ridge and Corner Preserving Model for Surface Restoration. - Rongjie Lai; Xue-Cheng Tai; Tony F. Chan (SIAM J. Sci. Comput., 2013)

Adaptive Directional Total-Variation Model for Latent Fingerprint Segmentation. - Jiangyang Zhang; Rongjie Lai; C.-C. Jay Kuo (IEEE Trans. Inf. Forensics Secur., 2013)

Cortical Surface Reconstruction via Unified Reeb Analysis of Geometric and Topological Outliers in Magnetic Resonance Images. - Yonggang Shi; Rongjie Lai; Arthur W. Toga (IEEE Trans. Medical Imaging, 2013)

Estimation of parameters in a distributed parameter model for thin film layered organic photovoltaic cells. - I. Gary Rosen; Chunming Wang; Weiwei Hu; Michael Hankin; Rongjie Lai; Mark E. Thompson; Stephen R. Forrest (ACC, 2014)

A Splitting Method for Orthogonality Constrained Problems. - Rongjie Lai; Stanley J. Osher (J. Sci. Comput., 2014)

Folding-Free Global Conformal Mapping for Genus-0 Surfaces by Harmonic Energy Minimization. - Rongjie Lai; Zaiwen Wen; Wotao Yin; Xianfeng Gu; Lok Ming Lui (J. Sci. Comput., 2014)

Metric Optimization for Surface Analysis in the Laplace-Beltrami Embedding Space. - Yonggang Shi; Rongjie Lai; Danny J. J. Wang; Daniel Pelletier; David C. Mohr; Nancy L. Sicotte; Arthur W. Toga (IEEE Trans. Medical Imaging, 2014)

Localized density matrix minimization and linear-scaling algorithms. - Rongjie Lai; Jianfeng Lu 001 (J. Comput. Phys., 2016)

CT Image Reconstruction in a Low Dimensional Manifold. - Wenxiang Cong; Ge Wang 001; Qingsong Yang; Jiang Hsieh; Jia Li; Rongjie Lai (CoRR, 2017)

Solve Partial Differential Equations on Manifold From Incomplete Inter-Point Distance. - Rongjie Lai; Jia Li (CoRR, 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)

Solving Partial Differential Equations on Manifolds From Incomplete Interpoint Distance. - Rongjie Lai; Jia Li (SIAM J. Sci. Comput., 2017)

Rational Neural Networks for Approximating Graph Convolution Operator on Jump Discontinuities. - Zhiqian Chen; Feng Chen 001; Rongjie Lai; Xuchao Zhang; Chang-Tien Lu (ICDM, 2018)

Parallel Transport Convolution: A New Tool for Convolutional Neural Networks on Manifolds. - Stefan C. Schonsheck; Bin Dong; Rongjie Lai (CoRR, 2018)

Rational Neural Networks for Approximating Jump Discontinuities of Graph Convolution Operator. - Zhiqian Chen; Feng Chen 001; Rongjie Lai; Xuchao Zhang; Chang-Tien Lu (CoRR, 2018)

Low-rank Matrix Completion in a General Non-orthogonal Basis. - Abiy Tasissa; Rongjie Lai (CoRR, 2018)

Manifold Based Low-Rank Regularization for Image Restoration and Semi-Supervised Learning. - Rongjie Lai; Jia Li (J. Sci. Comput., 2018)

Point Cloud Discretization of Fokker-Planck Operators for Committor Functions. - Rongjie Lai; Jianfeng Lu 001 (Multiscale Model. Simul., 2018)

NPTC-net: Narrow-Band Parallel Transport Convolutional Neural Network on Point Clouds. - Pengfei Jin; Tianhao Lai; Rongjie Lai; Bin Dong (CoRR, 2019)

Shape Analysis via Functional Map Construction and Bases Pursuit. - Omri Azencot; Rongjie Lai (CoRR, 2019)

Chart Auto-Encoders for Manifold Structured Data. - Stefan C. Schonsheck; Jie Chen 007; Rongjie Lai (CoRR, 2019)

Global Optimization with Orthogonality Constraints via Stochastic Diffusion on Manifold. - Honglin Yuan; Xiaoyi Gu; Rongjie Lai; Zaiwen Wen (J. Sci. Comput., 2019)

Triangulated Surface Denoising using High Order Regularization with Dynamic Weights. - Zheng Liu; Rongjie Lai; Huayan Zhang; Chunlin Wu (SIAM J. Sci. Comput., 2019)

Exact Reconstruction of Euclidean Distance Geometry Problem Using Low-Rank Matrix Completion. - Abiy Tasissa; Rongjie Lai (IEEE Trans. Inf. Theory, 2019)

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

Optimizing Mode Connectivity via Neuron Alignment. - N. Joseph Tatro; Pin-Yu Chen; Payel Das; Igor Melnyk; Prasanna Sattigeri; Rongjie Lai (NeurIPS, 2020)

Unsupervised Geometric Disentanglement for Surfaces via CFAN-VAE. - N. Joseph Tatro; Stefan C. Schonsheck; Rongjie Lai (CoRR, 2020)

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

A Data-Driven Approach to Functional Map Construction and Bases Pursuit. - Omri Azencot; Rongjie Lai (Comput. Graph. Forum, 2021)

Generalized unnormalized optimal transport and its fast algorithms. - Wonjun Lee 004; Rongjie Lai; Wuchen Li; Stanley J. Osher (J. Comput. Phys., 2021)

Nonisometric Surface Registration via Conformal Laplace-Beltrami Basis Pursuit. - Stefan C. Schonsheck; Michael M. Bronstein; Rongjie Lai (J. Sci. Comput., 2021)

Manifoldron: Direct Space Partition via Manifold Discovery. - Dayang Wang; Feng-Lei Fan; Bojian Hou; Hao Zhang 050; Rongjie Lai; Hengyong Yu; Fei Wang 001 (CoRR, 2022)

Learning Geometrically Disentangled Representations of Protein Folding Simulations. - N. Joseph Tatro; Payel Das; Pin-Yu Chen; Vijil Chenthamarakshan; Rongjie Lai (CoRR, 2022)

Bridging Mean-Field Games and Normalizing Flows with Trajectory Regularization. - Han Huang; Jiajia Yu; Jie Chen; Rongjie Lai (CoRR, 2022)

Semi-Supervised Manifold Learning with Complexity Decoupled Chart Autoencoders. - Stefan C. Schonsheck; Scott Mahan; Timo Klock; Alexander Cloninger; Rongjie Lai (CoRR, 2022)

NPTC-net: Narrow-Band Parallel Transport Convolutional Neural Networks on Point Clouds. - Pengfei Jin; Tianhao Lai; Rongjie Lai; Bin Dong (J. Sci. Comput., 2022)

Parallel Transport Convolution: Deformable Convolutional Networks on Manifold-Structured Data. - Stefan C. Schonsheck; Bin Dong; Rongjie Lai (SIAM J. Imaging Sci., 2022)

Deep Nonparametric Estimation of Intrinsic Data Structures by Chart Autoencoders: Generalization Error and Robustness. - Hao Liu 028; Alexander Havrilla; Rongjie Lai; Wenjing Liao (CoRR, 2023)

Bridging mean-field games and normalizing flows with trajectory regularization. - Han Huang; Jiajia Yu; Jie Chen 007; Rongjie Lai (J. Comput. Phys., 2023)

Quasi-Equivalence between Width and Depth of Neural Networks. - Fenglei Fan; Rongjie Lai; Ge Wang 001 (J. Mach. Learn. Res., 2023)

A fast proximal gradient method and convergence analysis for dynamic mean field planning. - Jiajia Yu; Rongjie Lai; Wuchen Li; Stanley J. Osher (Math. Comput., 2023)

Computational mean-field games on manifolds. - Jiajia Yu; Rongjie Lai; Wuchen Li; Stanley J. Osher (J. Comput. Phys., 2023)

Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning. - Hao Liu 028; Biraj Dahal; Rongjie Lai; Wenjing Liao (CoRR, 2024)

Emulating Complex Synapses Using Interlinked Proton Conductors. - Lifu Zhang; Ji-An Li; Yang Hu; Jie Jiang; Rongjie Lai; Marcus K. Benna; Jian Shi (CoRR, 2024)

Unsupervised Solution Operator Learning for Mean-Field Games via Sampling-Invariant Parametrizations. - Han Huang; Rongjie Lai (CoRR, 2024)

TART: Boosting Clean Accuracy Through Tangent Direction Guided Adversarial Training. - Bongsoo Yi; Rongjie Lai; Yao Li (CoRR, 2024)

Unsupervised solution operator learning for mean-field games. - Han Huang; Rongjie Lai (J. Comput. Phys., 2025)

On Expressivity and Trainability of Quadratic Networks. - Feng-Lei Fan; Mengzhou Li; Fei Wang 001; Rongjie Lai; Ge Wang 001 (IEEE Trans. Neural Networks Learn. Syst., 2025)

Transformers for Learning on Noisy and Task-Level Manifolds: Approximation and Generalization Insights. - Zhaiming Shen; Alex Havrilla; Rongjie Lai; Alexander Cloninger; Wenjing Liao (CoRR, 2025)

Understanding In-Context Learning on Structured Manifolds: Bridging Attention to Kernel Methods. - Zhaiming Shen; Alexander Hsu; Rongjie Lai; Wenjing Liao (CoRR, 2025)

Manifoldron: Direct Space Partition via Manifold Discovery. - Dayang Wang; Feng-Lei Fan; Bojian Hou; Hao Zhang 050; Zhen Jia; Boce Zhang; Rongjie Lai; Hengyong Yu; Fei Wang 001 (IEEE Trans. Neural Networks Learn. Syst., 2025)