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Despite recent successes in synthesizing faces and bedrooms, existing generative models struggle to capture more complex image types, potentially due to the oversimplification of their latent space constructions. To tackle this issue,…

Machine Learning · Computer Science 2018-03-13 Wenling Shang , Kihyuk Sohn , Yuandong Tian

Generative adversarial networks (GANs) have been recently applied as a novel emulation technique for large scale structure simulations. Recent results show that GANs can be used as a fast, efficient and computationally cheap emulator for…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-06 Andrius Tamosiunas , Hans A. Winther , Kazuya Koyama , David J. Bacon , Robert C. Nichol , Ben Mawdsley

The Generator of a Generative Adversarial Network (GAN) is trained to transform latent vectors drawn from a prior distribution into realistic looking photos. These latent vectors have been shown to encode information about the content of…

Machine Learning · Computer Science 2018-10-10 Nicholas Egan , Jeffrey Zhang , Kevin Shen

Recently, generative machine-learning models have gained popularity in physics, driven by the goal of improving the efficiency of Markov chain Monte Carlo techniques and of exploring their potential in capturing experimental data…

Statistical Mechanics · Physics 2021-09-03 Japneet Singh , Vipul Arora , Vinay Gupta , Mathias S. Scheurer

We propose a new approach to train the Generative Adversarial Nets (GANs) with a mixture of generators to overcome the mode collapsing problem. The main intuition is to employ multiple generators, instead of using a single one as in the…

Machine Learning · Computer Science 2017-10-31 Quan Hoang , Tu Dinh Nguyen , Trung Le , Dinh Phung

Traditional generative adversarial networks (GAN) and many of its variants are trained by minimizing the KL or JS-divergence loss that measures how close the generated data distribution is from the true data distribution. A recent advance…

Computer Vision and Pattern Recognition · Computer Science 2017-04-18 Felix Juefei-Xu , Vishnu Naresh Boddeti , Marios Savvides

Variational autoencoders (VAEs) and generative adversarial networks (GANs) enjoy an intuitive connection to manifold learning: in training the decoder/generator is optimized to approximate a homeomorphism between the data distribution and…

Machine Learning · Computer Science 2020-08-28 Henry Li , Ofir Lindenbaum , Xiuyuan Cheng , Alexander Cloninger

In autoencoder, the encoder generally approximates the latent distribution over the dataset, and the decoder generates samples using this learned latent distribution. There is very little control over the latent vector as using the random…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Sanket Kalwar , Animikh Aich , Tanay Dixit , Adit Chhabra

We introduce Kernel Density Discrimination GAN (KDD GAN), a novel method for generative adversarial learning. KDD GAN formulates the training as a likelihood ratio optimization problem where the data distributions are written explicitly via…

Machine Learning · Computer Science 2021-07-14 Abdelhak Lemkhenter , Adam Bielski , Alp Eren Sari , Paolo Favaro

Generative adversarial networks are a novel method for statistical inference that have achieved much empirical success; however, the factors contributing to this success remain ill-understood. In this work, we attempt to analyze generative…

Machine Learning · Computer Science 2018-09-13 Shuang Liu , Kamalika Chaudhuri

Statistical channel models are instrumental to design and evaluate wireless communication systems. In the millimeter wave bands, such models become acutely challenging; they must capture the delay, directions, and path gains, for each link…

Signal Processing · Electrical Eng. & Systems 2020-12-18 William Xia , Sundeep Rangan , Marco Mezzavilla , Angel Lozano , Giovanni Geraci , Vasilii Semkin , Giuseppe Loianno

In this paper, we show that the performance of a learnt generative model is closely related to the model's ability to accurately represent the inferred \textbf{latent data distribution}, i.e. its topology and structural properties. We…

Computer Vision and Pattern Recognition · Computer Science 2020-09-02 Shuyu Lin , Ronald Clark

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

We introduce effective training algorithms for Generative Adversarial Networks (GAN) to alleviate mode collapse and gradient vanishing. In our system, we constrain the generator by an Autoencoder (AE). We propose a formulation to consider…

Computer Vision and Pattern Recognition · Computer Science 2018-12-18 Ngoc-Trung Tran , Tuan-Anh Bui , Ngai-Man Cheung

Deep generative models are universal tools for learning data distributions on high dimensional data spaces via a mapping to lower dimensional latent spaces. We provide a study of latent space geometries and extend and build upon previous…

Machine Learning · Computer Science 2019-02-07 Max F. Frenzel , Bogdan Teleaga , Asahi Ushio

Generative adversarial networks are generative models that are capable of replicating the implicit probability distribution of the input data with high accuracy. Traditionally, GANs consist of a Generator and a Discriminator which interact…

Machine Learning · Computer Science 2022-11-15 Xin Wang

The Generative Adversarial Network (GAN) was recently introduced in the literature as a novel machine learning method for training generative models. It has many applications in statistics such as nonparametric clustering and nonparametric…

Machine Learning · Statistics 2023-06-26 Sehwan Kim , Qifan Song , Faming Liang

In recent years, Generative Adversarial Networks (GANs) have shown substantial progress in modeling complex distributions of data. These networks have received tremendous attention since they can generate implicit probabilistic models that…

Signal Processing · Electrical Eng. & Systems 2018-10-25 Mehdi Ahmadi , Timothy Nest , Mostafa Abdelnaim , Thanh-Dung Le

Standard formulations of GANs, where a continuous function deforms a connected latent space, have been shown to be misspecified when fitting different classes of images. In particular, the generator will necessarily sample some low-quality…

Machine Learning · Computer Science 2021-10-20 Thibaut Issenhuth , Ugo Tanielian , David Picard , Jeremie Mary

Unsupervised learning of generative models has seen tremendous progress over recent years, in particular due to generative adversarial networks (GANs), variational autoencoders, and flow-based models. GANs have dramatically improved sample…

Computer Vision and Pattern Recognition · Computer Science 2020-01-06 Thomas Lucas , Konstantin Shmelkov , Karteek Alahari , Cordelia Schmid , Jakob Verbeek