research
∙
10/18/2022
Convergence Analysis of Volumetric Stretch Energy Minimization and its Associated Optimal Mass Transport
The volumetric stretch energy has been widely applied to the computation...
share
research
∙
03/07/2022
Surface Eigenvalues with Lattice-Based Approximation In comparison with analytical solution
In this paper, we propose a meshless method of computing eigenvalues and...
research
∙
11/03/2021
PhyloTransformer: A Discriminative Model for Mutation Prediction Based on a Multi-head Self-attention Mechanism
Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) has caused ...
research
∙
06/30/2020
Graph Laplacians, Riemannian Manifolds and their Machine-Learning
Graph Laplacians as well as related spectral inequalities and (co-)homol...
research
∙
01/11/2020
AE-OT-GAN: Training GANs from data specific latent distribution
Though generative adversarial networks (GANs) areprominent models to gen...
research
∙
02/08/2019
Mode Collapse and Regularity of Optimal Transportation Maps
This work builds the connection between the regularity theory of optimal...
research
∙
09/16/2018
Latent Space Optimal Transport for Generative Models
Variational Auto-Encoders enforce their learned intermediate latent-spac...
research
∙
05/26/2018
Geometric Understanding of Deep Learning
Deep learning is the mainstream technique for many machine learning task...
research
∙
10/16/2017
A Geometric View of Optimal Transportation and Generative Model
In this work, we show the intrinsic relations between optimal transporta...
research
∙
08/05/2017
A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations
Surface parameterizations have been widely applied to computer graphics ...
research
∙
04/01/2015
Conformal Surface Morphing with Applications on Facial Expressions
Morphing is the process of changing one figure into another. Some numeri...
research
∙
11/12/2012
Teichmüller extremal mapping and its applications to landmark matching registration
Registration, which aims to find an optimal 1-1 correspondence between s...
research
∙
12/13/2002