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03/17/2023
Deep Nonparametric Estimation of Intrinsic Data Structures by Chart Autoencoders: Generalization Error and Robustness
Autoencoders have demonstrated remarkable success in learning low-dimens...
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08/22/2022
Semi-Supervised Manifold Learning with Complexity Decoupled Chart Autoencoders
Autoencoding is a popular method in representation learning. Conventiona...
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06/30/2022
Bridging Mean-Field Games and Normalizing Flows with Trajectory Regularization
Mean-field games (MFGs) are a modeling framework for systems with a larg...
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05/20/2022
Learning Geometrically Disentangled Representations of Protein Folding Simulations
Massive molecular simulations of drug-target proteins have been used as ...
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10/12/2021
Expressivity and Trainability of Quadratic Networks
Inspired by diversity of biological neurons, quadratic artificial neuron...
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09/05/2020
Optimizing Mode Connectivity via Neuron Alignment
The loss landscapes of deep neural networks are not well understood due ...
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07/26/2020
A Dual Iterative Refinement Method for Non-rigid Shape Matching
In this work, a simple and efficient dual iterative refinement (DIR) met...
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05/23/2020
Unsupervised Geometric Disentanglement for Surfaces via CFAN-VAE
For non-Euclidean data such as meshes of humans, a prominent task for ge...
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03/19/2020
Efficient and Robust Shape Correspondence via Sparsity-Enforced Quadratic Assignment
In this work, we introduce a novel local pairwise descriptor and then de...
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12/20/2019
Chart Auto-Encoders for Manifold Structured Data
Auto-encoding and generative models have made tremendous successes in im...
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09/29/2019
Shape Analysis via Functional Map Construction and Bases Pursuit
We propose a method to simultaneously compute scalar basis functions wit...
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05/29/2019
NPTC-net: Narrow-Band Parallel Transport Convolutional Neural Network on Point Clouds
Convolution plays a crucial role in various applications in signal and i...
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12/14/2018
Low-rank Matrix Completion in a General Non-orthogonal Basis
This paper considers theoretical analysis of recovering a low rank matri...
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09/19/2018
Nonisometric Surface Registration via Conformal Laplace-Beltrami Basis Pursuit
Surface registration is one of the most fundamental problems in geometry...
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08/30/2018
Rational Neural Networks for Approximating Jump Discontinuities of Graph Convolution Operator
For node level graph encoding, a recent important state-of-art method is...
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05/21/2018
Parallel Transport Convolution: A New Tool for Convolutional Neural Networks on Manifolds
Convolution has been playing a prominent role in various applications in...
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04/12/2018
Exact Reconstruction of Euclidean Distance Geometry Problem Using Low-rank Matrix Completion
The Euclidean distance geometry problem arises in a wide variety of appl...
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11/22/2017
Triangulated Surface Denoising using High Order Regularization with Dynamic Weights
Recovering high quality surfaces from noisy triangulated surfaces is a f...
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02/09/2017