Projection‐based techniques for high‐dimensional optimal transport problems

J Zhang, P Ma, W Zhong, C Meng - Wiley Interdisciplinary …, 2023 - Wiley Online Library
Optimal transport (OT) methods seek a transformation map (or plan) between two probability
measures, such that the transformation has the minimum transportation cost. Such a …

Complexity matters: Rethinking the latent space for generative modeling

T Hu, F Chen, H Wang, J Li… - Advances in Neural …, 2024 - proceedings.neurips.cc
In generative modeling, numerous successful approaches leverage a low-dimensional
latent space, eg, Stable Diffusion models the latent space induced by an encoder and …

Variational Wasserstein gradient flow

J Fan, Q Zhang, A Taghvaei, Y Chen - arXiv preprint arXiv:2112.02424, 2021 - arxiv.org
Wasserstein gradient flow has emerged as a promising approach to solve optimization
problems over the space of probability distributions. A recent trend is to use the well-known …

Generative modeling through the semi-dual formulation of unbalanced optimal transport

J Choi, J Choi, M Kang - Advances in Neural Information …, 2024 - proceedings.neurips.cc
Optimal Transport (OT) problem investigates a transport map that bridges two distributions
while minimizing a given cost function. In this regard, OT between tractable prior distribution …

Passive non-line-of-sight imaging using optimal transport

R Geng, Y Hu, Z Lu, C Yu, H Li… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Passive non-line-of-sight (NLOS) imaging has drawn great attention in recent years.
However, all existing methods are in common limited to simple hidden scenes, low-quality …

DPM-OT: a new diffusion probabilistic model based on optimal transport

Z Li, S Li, Z Wang, N Lei, Z Luo… - Proceedings of the IEEE …, 2023 - openaccess.thecvf.com
Sampling from diffusion probabilistic models (DPMs) can be viewed as a piecewise
distribution transformation, which generally requires hundreds or thousands of steps of the …

An Optimal Transport View of Class-Imbalanced Visual Recognition

L Jin, D Lang, N Lei - International Journal of Computer Vision, 2023 - Springer
Deep models have achieved impressive success in class-imbalanced visual recognition. In
the view of optimal transport, the current evaluation protocol for class-imbalanced visual …

Combating mode collapse via offline manifold entropy estimation

H Liu, B Li, H Wu, H Liang, Y Huang, Y Li… - Proceedings of the …, 2023 - ojs.aaai.org
Abstract Generative Adversarial Networks (GANs) have shown compelling results in various
tasks and applications in recent years. However, mode collapse remains a critical problem …

Aot: Appearance optimal transport based identity swapping for forgery detection

H Zhu, C Fu, Q Wu, W Wu, C Qian… - Advances in Neural …, 2020 - proceedings.neurips.cc
Recent studies have shown that the performance of forgery detection can be improved with
diverse and challenging Deepfakes datasets. However, due to the lack of Deepfakes …

Euler-Lagrange analysis of generative adversarial networks

S Asokan, CS Seelamantula - Journal of Machine Learning Research, 2023 - jmlr.org
We consider Generative Adversarial Networks (GANs) and address the underlying
functional optimization problem ab initio within a variational setting. Strictly speaking, the …