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2020 – today
- 2024
[i28]Hao Liu, Biraj Dahal, Rongjie Lai, Wenjing Liao:
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning. CoRR abs/2401.10490 (2024)- [i27]Lifu Zhang, Ji-An Li, Yang Hu, Jie Jiang, Rongjie Lai, Marcus K. Benna, Jian Shi:
Emulating Complex Synapses Using Interlinked Proton Conductors. CoRR abs/2401.15045 (2024) - [i26]Han Huang, Rongjie Lai:
Unsupervised Solution Operator Learning for Mean-Field Games via Sampling-Invariant Parametrizations. CoRR abs/2401.15482 (2024) - [i25]Bongsoo Yi, Rongjie Lai, Yao Li:
TART: Boosting Clean Accuracy Through Tangent Direction Guided Adversarial Training. CoRR abs/2408.14728 (2024) - 2023
- [j26]Jiajia Yu
, Rongjie Lai, Wuchen Li, Stanley J. Osher:
Computational mean-field games on manifolds. J. Comput. Phys. 484: 112070 (2023) - [j25]Han Huang, Jiajia Yu, Jie Chen, Rongjie Lai:
Bridging mean-field games and normalizing flows with trajectory regularization. J. Comput. Phys. 487: 112155 (2023) - [j24]Fenglei Fan, Rongjie Lai, Ge Wang:
Quasi-Equivalence between Width and Depth of Neural Networks. J. Mach. Learn. Res. 24: 183:1-183:22 (2023) - [j23]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): 603-642 (2023) - [i24]Hao Liu, Alexander Havrilla, Rongjie Lai, Wenjing Liao:
Deep Nonparametric Estimation of Intrinsic Data Structures by Chart Autoencoders: Generalization Error and Robustness. CoRR abs/2303.09863 (2023) - 2022
- [j22]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): 39 (2022) - [j21]Stefan C. Schonsheck, Bin Dong, Rongjie Lai:
Parallel Transport Convolution: Deformable Convolutional Networks on Manifold-Structured Data. SIAM J. Imaging Sci. 15(1): 367-386 (2022) - [i23]Dayang Wang, Feng-Lei Fan, Bojian Hou, Hao Zhang, Rongjie Lai, Hengyong Yu, Fei Wang:
Manifoldron: Direct Space Partition via Manifold Discovery. CoRR abs/2201.05279 (2022) - [i22]N. Joseph Tatro, Payel Das, Pin-Yu Chen, Vijil Chenthamarakshan, Rongjie Lai:
Learning Geometrically Disentangled Representations of Protein Folding Simulations. CoRR abs/2205.10423 (2022) - [i21]Han Huang, Jiajia Yu, Jie Chen, Rongjie Lai:
Bridging Mean-Field Games and Normalizing Flows with Trajectory Regularization. CoRR abs/2206.14990 (2022) - [i20]Stefan C. Schonsheck, Scott Mahan, Timo Klock, Alexander Cloninger, Rongjie Lai:
Semi-Supervised Manifold Learning with Complexity Decoupled Chart Autoencoders. CoRR abs/2208.10570 (2022) - 2021
- [j20]Omri Azencot, Rongjie Lai:
A Data-Driven Approach to Functional Map Construction and Bases Pursuit. Comput. Graph. Forum 40(5): 97-110 (2021) - [j19]Wonjun Lee, Rongjie Lai, Wuchen Li, Stanley J. Osher:
Generalized unnormalized optimal transport and its fast algorithms. J. Comput. Phys. 436: 110041 (2021) - [j18]Stefan C. Schonsheck, Michael M. Bronstein, Rongjie Lai:
Nonisometric Surface Registration via Conformal Laplace-Beltrami Basis Pursuit. J. Sci. Comput. 86(3): 30 (2021) - [c18]Rui Xiang, Rongjie Lai, Hongkai Zhao:
A Dual Iterative Refinement Method for Non-Rigid Shape Matching. CVPR 2021: 15930-15939 - [i19]Jiajia Yu, Rongjie Lai, Wuchen Li, Stanley J. Osher:
A Fast Proximal Gradient Method and Convergence Analysis for Dynamic Mean Field Planning. CoRR abs/2102.13260 (2021) - [i18]Fenglei Fan, Mengzhou Li, Fei Wang, Rongjie Lai, Ge Wang:
Expressivity and Trainability of Quadratic Networks. CoRR abs/2110.06081 (2021) - 2020
- [c17]Rui Xiang, Rongjie Lai, Hongkai Zhao:
Efficient and Robust Shape Correspondence via Sparsity-Enforced Quadratic Assignment. CVPR 2020: 9510-9519 - [c16]N. Joseph Tatro, Pin-Yu Chen, Payel Das, Igor Melnyk, Prasanna Sattigeri, Rongjie Lai:
Optimizing Mode Connectivity via Neuron Alignment. NeurIPS 2020 - [i17]Wonjun Lee, Rongjie Lai, Wuchen Li, Stanley J. Osher:
Generalized Unnormalized Optimal Transport and its fast algorithms. CoRR abs/2001.11530 (2020) - [i16]Rui Xiang, Rongjie Lai, Hongkai Zhao:
Efficient and Robust Shape Correspondence via Sparsity-Enforced Quadratic Assignment. CoRR abs/2003.08680 (2020) - [i15]N. Joseph Tatro, Stefan C. Schonsheck, Rongjie Lai:
Unsupervised Geometric Disentanglement for Surfaces via CFAN-VAE. CoRR abs/2005.11622 (2020) - [i14]Rui Xiang, Rongjie Lai, Hongkai Zhao:
A Dual Iterative Refinement Method for Non-rigid Shape Matching. CoRR abs/2007.13049 (2020) - [i13]N. Joseph Tatro, Pin-Yu Chen, Payel Das, Igor Melnyk, Prasanna Sattigeri, Rongjie Lai:
Optimizing Mode Connectivity via Neuron Alignment. CoRR abs/2009.02439 (2020)
2010 – 2019
- 2019
- [j17]Honglin Yuan, Xiaoyi Gu, Rongjie Lai, Zaiwen Wen:
Global Optimization with Orthogonality Constraints via Stochastic Diffusion on Manifold. J. Sci. Comput. 80(2): 1139-1170 (2019) - [j16]Zheng Liu, Rongjie Lai, Huayan Zhang, Chunlin Wu:
Triangulated Surface Denoising using High Order Regularization with Dynamic Weights. SIAM J. Sci. Comput. 41(1): B1-B26 (2019) - [j15]Abiy Tasissa, Rongjie Lai:
Exact Reconstruction of Euclidean Distance Geometry Problem Using Low-Rank Matrix Completion. IEEE Trans. Inf. Theory 65(5): 3124-3144 (2019) - [i12]Pengfei Jin, Tianhao Lai, Rongjie Lai, Bin Dong:
NPTC-net: Narrow-Band Parallel Transport Convolutional Neural Network on Point Clouds. CoRR abs/1905.12218 (2019) - [i11]Omri Azencot, Rongjie Lai:
Shape Analysis via Functional Map Construction and Bases Pursuit. CoRR abs/1909.13200 (2019) - [i10]Stefan C. Schonsheck, Jie Chen, Rongjie Lai:
Chart Auto-Encoders for Manifold Structured Data. CoRR abs/1912.10094 (2019) - 2018
- [j14]Rongjie Lai, Jia Li:
Manifold Based Low-Rank Regularization for Image Restoration and Semi-Supervised Learning. J. Sci. Comput. 74(3): 1241-1263 (2018) - [j13]Rongjie Lai, Jianfeng Lu:
Point Cloud Discretization of Fokker-Planck Operators for Committor Functions. Multiscale Model. Simul. 16(2): 710-726 (2018) - [c15]Zhiqian Chen, Feng Chen, Rongjie Lai, Xuchao Zhang, Chang-Tien Lu:
Rational Neural Networks for Approximating Graph Convolution Operator on Jump Discontinuities. ICDM 2018: 59-68 - [i9]Abiy Tasissa, Rongjie Lai:
Exact Reconstruction of Euclidean Distance Geometry Problem Using Low-rank Matrix Completion. CoRR abs/1804.04310 (2018) - [i8]Stefan C. Schonsheck, Bin Dong, Rongjie Lai:
Parallel Transport Convolution: A New Tool for Convolutional Neural Networks on Manifolds. CoRR abs/1805.07857 (2018) - [i7]Zhiqian Chen, Feng Chen, Rongjie Lai, Xuchao Zhang, Chang-Tien Lu:
Rational Neural Networks for Approximating Jump Discontinuities of Graph Convolution Operator. CoRR abs/1808.10073 (2018) - [i6]Stefan C. Schonsheck, Michael M. Bronstein, Rongjie Lai:
Nonisometric Surface Registration via Conformal Laplace-Beltrami Basis Pursuit. CoRR abs/1809.07399 (2018) - [i5]Abiy Tasissa, Rongjie Lai:
Low-rank Matrix Completion in a General Non-orthogonal Basis. CoRR abs/1812.05786 (2018) - 2017
- [j12]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): 449-483 (2017) - [j11]Rongjie Lai, Jia Li:
Solving Partial Differential Equations on Manifolds From Incomplete Interpoint Distance. SIAM J. Sci. Comput. 39(5) (2017) - [i4]Rongjie Lai, Jia Li:
Solve Partial Differential Equations on Manifold From Incomplete Inter-Point Distance. CoRR abs/1701.02843 (2017) - [i3]Rongjie Lai, Jia Li:
Manifold Based Low-rank Regularization for Image Restoration and Semi-supervised Learning. CoRR abs/1702.02680 (2017) - [i2]Wenxiang Cong, Ge Wang, Qingsong Yang, Jiang Hsieh, Jia Li, Rongjie Lai:
CT Image Reconstruction in a Low Dimensional Manifold. CoRR abs/1704.04825 (2017) - [i1]Zheng Liu, Rongjie Lai, Huayan Zhang, Chunlin Wu:
Triangulated Surface Denoising using High Order Regularization with Dynamic Weights. CoRR abs/1711.08137 (2017) - 2016
- [j10]Rongjie Lai, Jianfeng Lu:
Localized density matrix minimization and linear-scaling algorithms. J. Comput. Phys. 315: 194-210 (2016) - 2014
- [j9]Rongjie Lai, Stanley J. Osher:
A Splitting Method for Orthogonality Constrained Problems. J. Sci. Comput. 58(2): 431-449 (2014) - [j8]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): 705-725 (2014) - [j7]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): 1447-1463 (2014) - [c14]I. Gary Rosen, Chunming Wang, Weiwei Hu, Michael Hankin, Rongjie Lai, Mark E. Thompson, Stephen R. Forrest:
Estimation of parameters in a distributed parameter model for thin film layered organic photovoltaic cells. ACC 2014: 1039-1044 - 2013
- [j6]Rongjie Lai, Xue-Cheng Tai, Tony F. Chan:
A Ridge and Corner Preserving Model for Surface Restoration. SIAM J. Sci. Comput. 35(2) (2013) - [j5]Jiangyang Zhang, Rongjie Lai, C.-C. Jay Kuo:
Adaptive Directional Total-Variation Model for Latent Fingerprint Segmentation. IEEE Trans. Inf. Forensics Secur. 8(8): 1261-1273 (2013) - [j4]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): 511-530 (2013) - [c13]Yonggang Shi, Rongjie Lai, Arthur W. Toga:
Conformal Mapping via Metric Optimization with Application for Cortical Label Fusion. IPMI 2013: 244-255 - 2012
- [j3]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): 4722-4734 (2012) - [c12]Jian Liang, Rongjie Lai, Tsz Wai Wong, Hongkai Zhao:
Geometric understanding of point clouds using Laplace-Beltrami operator. CVPR 2012: 214-221 - [c11]Jiangyang Zhang, Rongjie Lai, C.-C. Jay Kuo:
Latent fingerprint segmentation with adaptive total variation model. ICB 2012: 189-195 - [c10]Jiangyang Zhang, Rongjie Lai, C.-C. Jay Kuo:
Latent fingerprint detection and segmentation with a directional total variation model. ICIP 2012: 1145-1148 - [c9]Yonggang Shi, Rongjie Lai, Arthur W. Toga:
Unified Geometry and Topology Correction for Cortical Surface Reconstruction with Intrinsic Reeb Analysis. MICCAI (1) 2012: 601-608 - 2011
- [j2]Rongjie Lai, Tony F. Chan:
A framework for intrinsic image processing on surfaces. Comput. Vis. Image Underst. 115(12): 1647-1661 (2011) - [c8]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: 2034-2040 - [c7]Yonggang Shi, Rongjie Lai, Arthur W. Toga:
CoRPORATE: Cortical Reconstruction by Pruning Outliers with Reeb Analysis and Topology-Preserving Evolution. IPMI 2011: 233-244 - [c6]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: 327-334 - 2010
- [j1]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): 2009-2022 (2010) - [c5]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: 2871-2878 - [c4]Yonggang Shi, Bo Sun, Rongjie Lai, Ivo D. Dinov, Arthur W. Toga:
Automated Sulci Identification via Intrinsic Modeling of Cortical Anatomy. MICCAI (3) 2010: 49-56
2000 – 2009
- 2009
- [c3]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: 694-697 - 2008
- [c2]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: 1-7 - [c1]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: 147-154
Coauthor Index
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