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We consider the problem of training generative models with a Generative Adversarial Network (GAN). Although GANs can accurately model complex distributions, they are known to be difficult to train due to instabilities caused by a difficult…

Machine Learning · Computer Science 2017-06-13 Paulina Grnarova , Kfir Y. Levy , Aurelien Lucchi , Thomas Hofmann , Andreas Krause

Understanding the impact of data structure on the computational tractability of learning is a key challenge for the theory of neural networks. Many theoretical works do not explicitly model training data, or assume that inputs are drawn…

Machine Learning · Statistics 2022-05-23 Sebastian Goldt , Bruno Loureiro , Galen Reeves , Florent Krzakala , Marc Mézard , Lenka Zdeborová

This paper is about the problem of learning a stochastic policy for generating an object (like a molecular graph) from a sequence of actions, such that the probability of generating an object is proportional to a given positive reward for…

Machine Learning · Computer Science 2021-11-22 Emmanuel Bengio , Moksh Jain , Maksym Korablyov , Doina Precup , Yoshua Bengio

We introduce Flux Matching, a new paradigm for generative modeling that generalizes existing score-based models to a broader family of vector fields that need not be conservative. Rather than requiring the model to equal the data score, the…

Machine Learning · Computer Science 2026-05-11 Peter Pao-Huang , Xiaojie Qiu , Stefano Ermon

Generative machine learning has emerged as a powerful tool for design representation and exploration. However, its application is often constrained by the need for large datasets of existing designs and the lack of interpretability about…

Machine Learning · Computer Science 2025-08-13 Eric Seng , Hugh O'Connor , Adam Boyce , Josh J. Bailey , Anton van Beek

Generating high-resolution, photo-realistic images has been a long-standing goal in machine learning. Recently, Nguyen et al. (2016) showed one interesting way to synthesize novel images by performing gradient ascent in the latent space of…

Computer Vision and Pattern Recognition · Computer Science 2017-04-13 Anh Nguyen , Jeff Clune , Yoshua Bengio , Alexey Dosovitskiy , Jason Yosinski

We consider the approximation of functions by 2-layer neural networks with a small number of hidden weights based on the squared loss and small datasets. Due to the highly non-convex energy landscape, gradient-based training often suffers…

Machine Learning · Computer Science 2025-08-14 Johannes Hertrich , Sebastian Neumayer

Generative adversarial networks (GANs) have been shown to produce realistic samples from high-dimensional distributions, but training them is considered hard. A possible explanation for training instabilities is the inherent imbalance…

Machine Learning · Statistics 2018-07-12 Mehdi S. M. Sajjadi , Giambattista Parascandolo , Arash Mehrjou , Bernhard Schölkopf

Developments in deep generative models have allowed for tractable learning of high-dimensional data distributions. While the employed learning procedures typically assume that training data is drawn i.i.d. from the distribution of interest,…

Machine Learning · Computer Science 2017-05-24 Ari Seff , Alex Beatson , Daniel Suo , Han Liu

This paper studies probability distributions of penultimate activations of classification networks. We show that, when a classification network is trained with the cross-entropy loss, its final classification layer forms a…

Machine Learning · Computer Science 2021-07-07 Minkyo Seo , Yoonho Lee , Suha Kwak

Generative learning generates high dimensional data based on low dimensional conditions, also called prompts. Therefore, generative learning algorithms are eligible for solving (Bayesian) inverse problems. In this article we compare a…

Machine Learning · Computer Science 2026-02-02 Patrick Krüger , Patrick Materne , Werner Krebs , Hanno Gottschalk

Traditional discriminative computer vision relies predominantly on static projections, mapping input features to outputs in a single computational step. Although efficient, this paradigm lacks the iterative refinement and robustness…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Om Govind Jha , Manoj Bamniya , Ayon Borthakur

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

Probabilistic forecasting relies on past observations to provide a probability distribution for a future outcome, which is often evaluated against the realization using a scoring rule. Here, we perform probabilistic forecasting with…

Machine Learning · Statistics 2024-03-06 Lorenzo Pacchiardi , Rilwan Adewoyin , Peter Dueben , Ritabrata Dutta

Generative Adversarial Networks have been shown to be powerful in generating content. To this end, they have been studied intensively in the last few years. Nonetheless, training these networks requires solving a saddle point problem that…

Machine Learning · Computer Science 2019-10-09 Jingrong Lin , Keegan Lensink , Eldad Haber

In many real-world problems, there is a limited set of training data, but an abundance of unlabeled data. We propose a new method, Generative Posterior Networks (GPNs), that uses unlabeled data to estimate epistemic uncertainty in…

Machine Learning · Computer Science 2024-01-01 Melrose Roderick , Felix Berkenkamp , Fatemeh Sheikholeslami , Zico Kolter

There are plenty of problems where the data available is scarce and expensive. We propose a generator of semi-artificial data with similar properties to the original data which enables development and testing of different data mining…

Machine Learning · Statistics 2020-07-21 Marko Robnik-Šikonja

Two recently introduced criteria for estimation of generative models are both based on a reduction to binary classification. Noise-contrastive estimation (NCE) is an estimation procedure in which a generative model is trained to be able to…

Machine Learning · Statistics 2015-05-22 Ian J. Goodfellow

Novelty detection is the process of determining whether a query example differs from the learned training distribution. Previous methods attempt to learn the representation of the normal samples via generative adversarial networks (GANs).…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Chengwei Chen , Yuan Xie , Shaohui Lin , Ruizhi Qiao , Jian Zhou , Xin Tan , Yi Zhang , Lizhuang Ma

Modeling uncertainty in deep neural networks, despite recent important advances, is still an open problem. Bayesian neural networks are a powerful solution, where the prior over network weights is a design choice, often a normal…

Machine Learning · Statistics 2019-10-29 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik
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