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This work provides a computable, direct, and mathematically rigorous approximation to the differential geometry of class manifolds for high-dimensional data, along with nonlinear projections from input space onto these class manifolds. The…

Machine Learning · Computer Science 2023-08-24 Aaron Mahler , Tyrus Berry , Tom Stephens , Harbir Antil , Michael Merritt , Jeanie Schreiber , Ioannis Kevrekidis

We propose a stable method to train Wasserstein generative adversarial networks. In order to enhance stability, we consider two objective functions using the $c$-transform based on Kantorovich duality which arises in the theory of optimal…

Machine Learning · Computer Science 2021-10-28 Dohyun Kwon , Yeoneung Kim , Guido Montúfar , Insoon Yang

Generative adversarial networks (GANs) have been extremely effective in approximating complex distributions of high-dimensional, input data samples, and substantial progress has been made in understanding and improving GAN performance in…

Machine Learning · Computer Science 2018-05-01 Daniel Jiwoong Im , He Ma , Graham Taylor , Kristin Branson

Generative Adversarial Networks (Goodfellow et al., 2014), a major breakthrough in the field of generative modeling, learn a discriminator to estimate some distance between the target and the candidate distributions. This paper examines…

Machine Learning · Statistics 2018-07-27 Victor Berger , Michèle Sebag

It is well-known that GANs are difficult to train, and several different techniques have been proposed in order to stabilize their training. In this paper, we propose a novel training method called manifold-matching, and a new GAN model…

Distributional causal inference requires estimating not only average treatment effects but also interventional outcome distributions, including quantiles, tail risks, and policy-dependent uncertainty. As a method for distributional causal…

Statistics Theory · Mathematics 2026-05-12 Shu Tamano , Masaaki Imaizumi

Generative adversarial networks (GANs) are often billed as "universal distribution learners", but precisely what distributions they can represent and learn is still an open question. Heavy-tailed distributions are prevalent in many…

Machine Learning · Computer Science 2021-01-25 Todd Huster , Jeremy E. J. Cohen , Zinan Lin , Kevin Chan , Charles Kamhoua , Nandi Leslie , Cho-Yu Jason Chiang , Vyas Sekar

Generative adversarial network (GAN) is among the most popular deep learning models for learning complex data distributions. However, training a GAN is known to be a challenging task. This is often attributed to the lack of correlation…

Machine Learning · Computer Science 2020-12-15 Sahil Sidheekh , Aroof Aimen , Vineet Madan , Narayanan C. Krishnan

The reconstruction of 3D microstructures from 2D slices is considered to hold significant value in predicting the spatial structure and physical properties of materials.The dimensional extension from 2D to 3D is viewed as a highly…

Machine Learning · Computer Science 2024-02-27 Yilin Zheng , Zhigong Song

Despite the recency of their conception, Generative Adversarial Networks (GANs) constitute an extensively researched machine learning sub-field for the creation of synthetic data through deep generative modeling. GANs have consequently been…

Networking and Internet Architecture · Computer Science 2021-05-11 Hojjat Navidan , Parisa Fard Moshiri , Mohammad Nabati , Reza Shahbazian , Seyed Ali Ghorashi , Vahid Shah-Mansouri , David Windridge

The utility of machine learning (ML) techniques in materials science has accelerated materials design and discovery. However, the accuracy of ML models - particularly deep neural networks - heavily relies on the quality and quantity of the…

Materials Science · Physics 2023-10-25 Marzie Ghorbani , Zhipeng Li , Nick Birbilis

Generative adversarial nets (GANs) have become a preferred tool for tasks involving complicated distributions. To stabilise the training and reduce the mode collapse of GANs, one of their main variants employs the integral probability…

Machine Learning · Computer Science 2020-10-27 Shengxi Li , Zeyang Yu , Min Xiang , Danilo Mandic

An open secret in contemporary machine learning is that many models work beautifully on standard benchmarks but fail to generalize outside the lab. This has been attributed to biased training data, which provide poor coverage over real…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Ali Jahanian , Lucy Chai , Phillip Isola

Idempotent Generative Networks (IGNs) are deep generative models that also function as local data manifold projectors, mapping arbitrary inputs back onto the manifold. They are trained to act as identity operators on the data and as…

In recent years, Generative Adversarial Networks (GAN) have emerged as a powerful method for learning the mapping from noisy latent spaces to realistic data samples in high-dimensional space. So far, the development and application of GANs…

Machine Learning · Statistics 2018-01-30 Atanas Mirchev , Seyed-Ahmad Ahmadi

Generative adversarial network (GAN) has gotten wide re-search interest in the field of deep learning. Variations of GAN have achieved competitive results on specific tasks. However, the stability of training and diversity of generated…

Computer Vision and Pattern Recognition · Computer Science 2018-09-07 Haoxuan You , Zhicheng Jiao , Haojun Xu , Jie Li , Ying Wang , Xinbo Gao

The Wasserstein distance received a lot of attention recently in the community of machine learning, especially for its principled way of comparing distributions. It has found numerous applications in several hard problems, such as domain…

Machine Learning · Statistics 2017-10-23 Nicolas Courty , Rémi Flamary , Mélanie Ducoffe

In recent years, Generative Adversarial Networks (GANs) have drawn a lot of attentions for learning the underlying distribution of data in various applications. Despite their wide applicability, training GANs is notoriously difficult. This…

Machine Learning · Computer Science 2019-04-23 Babak Barazandeh , Meisam Razaviyayn , Maziar Sanjabi

We propose a higher-level associative memory for learning adversarial networks. Generative adversarial network (GAN) framework has a discriminator and a generator network. The generator (G) maps white noise (z) to data samples while the…

Machine Learning · Computer Science 2016-11-23 Tarik Arici , Asli Celikyilmaz

A generative adversarial network (GAN) is a class of machine learning frameworks designed by Goodfellow et al. in 2014. In the GAN framework, the generative model is pitted against an adversary: a discriminative model that learns to…

Machine Learning · Computer Science 2022-10-13 Lan V. Truong