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The use of optimal transport cost for learning generative models has become popular with Wasserstein Generative Adversarial Networks (WGAN). Training of WGAN relies on a theoretical background: the calculation of the gradient of the optimal…

机器学习 · 统计学 2024-04-04 Antoine Houdard , Arthur Leclaire , Nicolas Papadakis , Julien Rabin

Optimal transport (OT) defines a powerful framework to compare probability distributions in a geometrically faithful way. However, the practical impact of OT is still limited because of its computational burden. We propose a new class of…

最优化与控制 · 数学 2016-05-30 Genevay Aude , Marco Cuturi , Gabriel Peyré , Francis Bach

This paper addresses the problem of finding interpretable directions in the latent space of pre-trained Generative Adversarial Networks (GANs) to facilitate controllable image synthesis. Such interpretable directions correspond to…

计算机视觉与模式识别 · 计算机科学 2021-11-24 James Oldfield , Markos Georgopoulos , Yannis Panagakis , Mihalis A. Nicolaou , Ioannis Patras

We present a novel artificial cognitive mapping system using generative deep neural networks, called variational autoencoder/generative adversarial network (VAE/GAN), which can map input images to latent vectors and generate temporal…

机器学习 · 计算机科学 2022-04-14 Hiroki Kojima , Takashi Ikegami

A rich set of interpretable dimensions has been shown to emerge in the latent space of the Generative Adversarial Networks (GANs) trained for synthesizing images. In order to identify such latent dimensions for image editing, previous…

计算机视觉与模式识别 · 计算机科学 2021-04-06 Yujun Shen , Bolei Zhou

Optimal transport (OT) is a versatile framework for comparing probability measures, with many applications to statistics, machine learning, and applied mathematics. However, OT distances suffer from computational and statistical scalability…

统计理论 · 数学 2022-06-08 Ziv Goldfeld , Kengo Kato , Gabriel Rioux , Ritwik Sadhu

The matching principles behind optimal transport (OT) play an increasingly important role in machine learning, a trend which can be observed when OT is used to disambiguate datasets in applications (e.g. single-cell genomics) or used to…

机器学习 · 统计学 2022-09-16 Meyer Scetbon , Marco Cuturi

A good representation for arbitrarily complicated data should have the capability of semantic generation, clustering and reconstruction. Previous research has already achieved impressive performance on either one. This paper aims at…

计算机视觉与模式识别 · 计算机科学 2019-04-09 Yuqian Zhou , Kuangxiao Gu , Thomas Huang

In this paper, we introduce Logic Tensor Network-Enhanced Generative Adversarial Network (LTN-GAN), a novel framework that enhances Generative Adversarial Networks (GANs) by incorporating Logic Tensor Networks (LTNs) to enforce…

机器学习 · 计算机科学 2026-01-08 Nijesh Upreti , Vaishak Belle

Spatio-temporal (ST) data for urban applications, such as taxi demand, traffic flow, regional rainfall is inherently stochastic and unpredictable. Recently, deep learning based ST prediction models are proposed to learn the ST…

机器学习 · 计算机科学 2021-06-01 Divya Saxena , Jiannong Cao

This paper presents a novel deep learning based data-driven optimization method. A novel generative adversarial network (GAN) based data-driven distributionally robust chance constrained programming framework is proposed. GAN is applied to…

最优化与控制 · 数学 2020-05-12 Shipu Zhao , Fengqi You

We propose GAN-Supervised Learning, a framework for learning discriminative models and their GAN-generated training data jointly end-to-end. We apply our framework to the dense visual alignment problem. Inspired by the classic Congealing…

计算机视觉与模式识别 · 计算机科学 2022-04-06 William Peebles , Jun-Yan Zhu , Richard Zhang , Antonio Torralba , Alexei A. Efros , Eli Shechtman

Batch Normalization (BN) is a commonly used technique to accelerate and stabilize training of deep neural networks. Despite its empirical success, a full theoretical understanding of BN is yet to be developed. In this work, we analyze BN…

机器学习 · 计算机科学 2022-03-22 Tolga Ergen , Arda Sahiner , Batu Ozturkler , John Pauly , Morteza Mardani , Mert Pilanci

We present a new approach for Neural Optimal Transport (NOT) training procedure, capable of accurately and efficiently estimating optimal transportation plan via specific regularization on dual Kantorovich potentials. The main bottleneck of…

机器学习 · 计算机科学 2024-10-21 Nazar Buzun , Maksim Bobrin , Dmitry V. Dylov

We present an alternative perspective on the training of generative adversarial networks (GANs), showing that the training step for a GAN generator decomposes into two implicit subproblems. In the first, the discriminator provides new…

机器学习 · 计算机科学 2021-05-13 Romann M. Weber

I present IGAN (Inferent Generative Adversarial Networks), a neural architecture that learns both a generative and an inference model on a complex high dimensional data distribution, i.e. a bidirectional mapping between data samples and a…

机器学习 · 计算机科学 2024-09-04 Luc Vignaud

Training generative adversarial networks (GANs) with limited real image data generally results in deteriorated performance and collapsed models. To conquer this challenge, we are inspired by the latest observation, that one can discover…

机器学习 · 计算机科学 2021-10-26 Tianlong Chen , Yu Cheng , Zhe Gan , Jingjing Liu , Zhangyang Wang

Optimal Transport (OT) has recently emerged as a central tool in data sciences to compare in a geometrically faithful way point clouds and more generally probability distributions. The wide adoption of OT into existing data analysis and…

机器学习 · 统计学 2023-01-18 Thibault Séjourné , Gabriel Peyré , François-Xavier Vialard

This thesis examines self-attention training through the lens of Optimal Transport (OT) and develops an OT-based alternative for tabular classification. The study tracks intermediate projections of the self-attention layer during training…

机器学习 · 统计学 2026-02-19 Alessandro Quadrio , Antonio Candelieri

We introduce a notion of usable information contained in the representation learned by a deep network, and use it to study how optimal representations for the task emerge during training. We show that the implicit regularization coming from…

机器学习 · 计算机科学 2021-03-02 Michael Kleinman , Alessandro Achille , Daksh Idnani , Jonathan C. Kao