Rongjie Lai

CoRR, 2024

Emulating Complex Synapses Using Interlinked Proton Conductors.

[BibT_eX]

[DOI]

CoRR, 2024

Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Computational mean-field games on manifolds.

[BibT_eX]

[DOI]

J. Comput. Phys., July, 2023

A fast proximal gradient method and convergence analysis for dynamic mean field planning.

[BibT_eX]

[DOI]

Math. Comput., June, 2023

Quasi-Equivalence between Width and Depth of Neural Networks.

[BibT_eX]

[DOI]

Fenglei Fan

Ge Wang

J. Mach. Learn. Res., 2023

Bridging mean-field games and normalizing flows with trajectory regularization.

[BibT_eX]

[DOI]

J. Comput. Phys., 2023

Deep Nonparametric Estimation of Intrinsic Data Structures by Chart Autoencoders: Generalization Error and Robustness.

[BibT_eX]

[DOI]

CoRR, 2023

2022

Parallel Transport Convolution: Deformable Convolutional Networks on Manifold-Structured Data.

[BibT_eX]

[DOI]

Bin Dong

SIAM J. Imaging Sci., 2022

NPTC-net: Narrow-Band Parallel Transport Convolutional Neural Networks on Point Clouds.

[BibT_eX]

[DOI]

J. Sci. Comput., 2022

Semi-Supervised Manifold Learning with Complexity Decoupled Chart Autoencoders.

[BibT_eX]

[DOI]

CoRR, 2022

Bridging Mean-Field Games and Normalizing Flows with Trajectory Regularization.

[BibT_eX]

[DOI]

CoRR, 2022

Learning Geometrically Disentangled Representations of Protein Folding Simulations.

[BibT_eX]

[DOI]

N. Joseph Tatro

Payel Das

Pin-Yu Chen

Vijil Chenthamarakshan

CoRR, 2022

Manifoldron: Direct Space Partition via Manifold Discovery.

[BibT_eX]

[DOI]

CoRR, 2022

2021

Nonisometric Surface Registration via Conformal Laplace-Beltrami Basis Pursuit.

[BibT_eX]

[DOI]

Michael M. Bronstein

J. Sci. Comput., 2021

Generalized unnormalized optimal transport and its fast algorithms.

[BibT_eX]

[DOI]

J. Comput. Phys., 2021

Expressivity and Trainability of Quadratic Networks.

[BibT_eX]

[DOI]

CoRR, 2021

A Data-Driven Approach to Functional Map Construction and Bases Pursuit.

[BibT_eX]

[DOI]

Omri Azencot

Comput. Graph. Forum, 2021

A Dual Iterative Refinement Method for Non-Rigid Shape Matching.

[BibT_eX]

[DOI]

Rui Xiang

Hongkai Zhao

Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2021

2020

Unsupervised Geometric Disentanglement for Surfaces via CFAN-VAE.

[BibT_eX]

[DOI]

N. Joseph Tatro

CoRR, 2020

Optimizing Mode Connectivity via Neuron Alignment.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

Efficient and Robust Shape Correspondence via Sparsity-Enforced Quadratic Assignment.

[BibT_eX]

[DOI]

Rui Xiang

Hongkai Zhao

Proceedings of the 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2020

2019

Exact Reconstruction of Euclidean Distance Geometry Problem Using Low-Rank Matrix Completion.

[BibT_eX]

[DOI]

Abiy Tasissa

IEEE Trans. Inf. Theory, 2019

Triangulated Surface Denoising using High Order Regularization with Dynamic Weights.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2019

Global Optimization with Orthogonality Constraints via Stochastic Diffusion on Manifold.

[BibT_eX]

[DOI]

J. Sci. Comput., 2019

Chart Auto-Encoders for Manifold Structured Data.

[BibT_eX]

[DOI]

Jie Chen

CoRR, 2019

Shape Analysis via Functional Map Construction and Bases Pursuit.

[BibT_eX]

[DOI]

Omri Azencot

CoRR, 2019

NPTC-net: Narrow-Band Parallel Transport Convolutional Neural Network on Point Clouds.

[BibT_eX]

[DOI]

CoRR, 2019

2018

Point Cloud Discretization of Fokker-Planck Operators for Committor Functions.

[BibT_eX]

[DOI]

Jianfeng Lu

Multiscale Model. Simul., 2018

Manifold Based Low-Rank Regularization for Image Restoration and Semi-Supervised Learning.

[BibT_eX]

[DOI]

Jia Li

J. Sci. Comput., 2018

Low-rank Matrix Completion in a General Non-orthogonal Basis.

[BibT_eX]

[DOI]

Abiy Tasissa

CoRR, 2018

Rational Neural Networks for Approximating Jump Discontinuities of Graph Convolution Operator.

[BibT_eX]

[DOI]

CoRR, 2018

Parallel Transport Convolution: A New Tool for Convolutional Neural Networks on Manifolds.

[BibT_eX]

[DOI]

Bin Dong

CoRR, 2018

Rational Neural Networks for Approximating Graph Convolution Operator on Jump Discontinuities.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Data Mining, 2018

2017

Solving Partial Differential Equations on Manifolds From Incomplete Interpoint Distance.

[BibT_eX]

[DOI]

Jia Li

SIAM J. Sci. Comput., 2017

Multiscale Nonrigid Point Cloud Registration Using Rotation-Invariant Sliced-Wasserstein Distance via Laplace-Beltrami Eigenmap.

[BibT_eX]

[DOI]

Hongkai Zhao

SIAM J. Imaging Sci., 2017

Solve Partial Differential Equations on Manifold From Incomplete Inter-Point Distance.

[BibT_eX]

[DOI]

Jia Li

CoRR, 2017

CT Image Reconstruction in a Low Dimensional Manifold.

[BibT_eX]

[DOI]

CoRR, 2017

2016

Localized density matrix minimization and linear-scaling algorithms.

[BibT_eX]

[DOI]

Jianfeng Lu

J. Comput. Phys., 2016

2014

Metric Optimization for Surface Analysis in the Laplace-Beltrami Embedding Space.

[BibT_eX]

[DOI]

IEEE Trans. Medical Imaging, 2014

Folding-Free Global Conformal Mapping for Genus-0 Surfaces by Harmonic Energy Minimization.

[BibT_eX]

[DOI]

J. Sci. Comput., 2014

A Splitting Method for Orthogonality Constrained Problems.

[BibT_eX]

[DOI]

Stanley J. Osher

J. Sci. Comput., 2014

Estimation of parameters in a distributed parameter model for thin film layered organic photovoltaic cells.

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2014

2013

Cortical Surface Reconstruction via Unified Reeb Analysis of Geometric and Topological Outliers in Magnetic Resonance Images.

[BibT_eX]

[DOI]

IEEE Trans. Medical Imaging, 2013

Adaptive Directional Total-Variation Model for Latent Fingerprint Segmentation.

[BibT_eX]

[DOI]

Jiangyang Zhang

C.-C. Jay Kuo

IEEE Trans. Inf. Forensics Secur., 2013

A Ridge and Corner Preserving Model for Surface Restoration.

[BibT_eX]

[DOI]

Xue-Cheng Tai

Tony F. Chan

SIAM J. Sci. Comput., 2013

Conformal Mapping via Metric Optimization with Application for Cortical Label Fusion.

[BibT_eX]

[DOI]

Proceedings of the Information Processing in Medical Imaging, 2013

2012

Efficient Algorithm for Level Set Method Preserving Distance Function.

[BibT_eX]

[DOI]

IEEE Trans. Image Process., 2012

Unified Geometry and Topology Correction for Cortical Surface Reconstruction with Intrinsic Reeb Analysis.

[BibT_eX]

[DOI]

Proceedings of the Medical Image Computing and Computer-Assisted Intervention - MICCAI 2012, 2012

Latent fingerprint detection and segmentation with a directional total variation model.

[BibT_eX]

[DOI]

Jiangyang Zhang

C.-C. Jay Kuo

Proceedings of the 19th IEEE International Conference on Image Processing, 2012

Latent fingerprint segmentation with adaptive total variation model.

[BibT_eX]

[DOI]

Jiangyang Zhang

C.-C. Jay Kuo

Proceedings of the 5th IAPR International Conference on Biometrics, 2012

Geometric understanding of point clouds using Laplace-Beltrami operator.

[BibT_eX]

[DOI]

Proceedings of the 2012 IEEE Conference on Computer Vision and Pattern Recognition, 2012

2011

A framework for intrinsic image processing on surfaces.

[BibT_eX]

[DOI]

Tony F. Chan

Comput. Vis. Image Underst., 2011

Conformal Metric Optimization on Surface (CMOS) for Deformation and Mapping in Laplace-Beltrami Embedding Space.

[BibT_eX]

[DOI]

Proceedings of the Medical Image Computing and Computer-Assisted Intervention - MICCAI 2011, 2011

CoRPORATE: Cortical Reconstruction by Pruning Outliers with Reeb Analysis and Topology-Preserving Evolution.

[BibT_eX]

[DOI]