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Neural network based generative models with discriminative components are a powerful approach for semi-supervised learning. However, these techniques a) cannot account for model uncertainty in the estimation of the model's discriminative…

Machine Learning · Statistics 2017-06-30 Jonathan Gordon , José Miguel Hernández-Lobato

The maximum entropy formalism developed by Jaynes determines the relevant ensemble in nonequilibrium statistical mechanics by maximising the entropy functional subject to the constraints imposed by the available information. We present an…

Mathematical Physics · Physics 2014-02-27 M. Meléndez , P. Español

Auto-regressive sequence generative models trained by Maximum Likelihood Estimation suffer the exposure bias problem in practical finite sample scenarios. The crux is that the number of training samples for Maximum Likelihood Estimation is…

Machine Learning · Statistics 2020-07-14 Yuxuan Song , Ning Miao , Hao Zhou , Lantao Yu , Mingxuan Wang , Lei Li

Generative Flow Networks (GFNs) have emerged as a powerful tool for sampling discrete objects from unnormalized distributions, offering a scalable alternative to Markov Chain Monte Carlo (MCMC) methods. While GFNs draw inspiration from…

Machine Learning · Computer Science 2025-02-24 Sobhan Mohammadpour , Emmanuel Bengio , Emma Frejinger , Pierre-Luc Bacon

In this paper, we propose a new max-margin based discriminative feature learning method. Specifically, we aim at learning a low-dimensional feature representation, so as to maximize the global margin of the data and make the samples from…

Machine Learning · Computer Science 2017-04-04 Changsheng Li , Qingshan Liu , Weishan Dong , Xin Zhang , Lin Yang

Our work focuses on unsupervised and generative methods that address the following goals: (a) learning unsupervised generative representations that discover latent factors controlling image semantic attributes, (b) studying how this ability…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 William Paul , I-Jeng Wang , Fady Alajaji , Philippe Burlina

We consider the problem of learning deep generative models from data. We formulate a method that generates an independent sample via a single feedforward pass through a multilayer perceptron, as in the recently proposed generative…

Machine Learning · Computer Science 2015-02-11 Yujia Li , Kevin Swersky , Richard Zemel

As a kind of generative self-supervised learning methods, generative adversarial nets have been widely studied in the field of anomaly detection. However, the representation learning ability of the generator is limited since it pays too…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Xuan Xia , Xizhou Pan , Xing He , Jingfei Zhang , Ning Ding , Lin Ma

Optimisation problems in science and engineering typically involve finding the ground state (i.e. the minimum energy configuration) of a cost function with respect to many variables. If the variables are corrupted by noise then this…

Quantum Physics · Physics 2016-03-08 Nicholas Chancellor , Szilard Szoke , Walter Vinci , Gabriel Aeppli , Paul A. Warburton

Feature selection is one of the most fundamental problems in machine learning. An extensive body of work on information-theoretic feature selection exists which is based on maximizing mutual information between subsets of features and class…

Machine Learning · Statistics 2016-06-10 Shuyang Gao , Greg Ver Steeg , Aram Galstyan

Selective classification is a powerful tool for automated decision-making in high-risk scenarios, allowing classifiers to act only when confident and abstain when uncertainty is high. Given a target accuracy, our goal is to minimize…

Statistics Theory · Mathematics 2025-10-28 Mohamed Ndaoud , Peter Radchenko , Bradley Rava

Feature selection, in the context of machine learning, is the process of separating the highly predictive feature from those that might be irrelevant or redundant. Information theory has been recognized as a useful concept for this task, as…

Machine Learning · Computer Science 2020-01-28 Catuscia Palamidessi , Marco Romanelli

Feature selection and reducing the dimensionality of data is an essential step in data analysis. In this work, we propose a new criterion for feature selection that is formulated as conditional information between features given the labeled…

Machine Learning · Statistics 2019-05-20 Salimeh Yasaei Sekeh , Alfred O. Hero

To learn intrinsic low-dimensional structures from high-dimensional data that most discriminate between classes, we propose the principle of Maximal Coding Rate Reduction ($\text{MCR}^2$), an information-theoretic measure that maximizes the…

Machine Learning · Computer Science 2020-06-16 Yaodong Yu , Kwan Ho Ryan Chan , Chong You , Chaobing Song , Yi Ma

Optimization results are one method for understanding neural computation from Nature's perspective and for defining the physical limits on neuron-like engineering. Earlier work looks at individual properties or performance criteria and…

Neurons and Cognition · Quantitative Biology 2017-12-21 William B Levy , Toby Berger , Mustafa Sungkar

Due to their flexibility and predictive performance, machine-learning based regression methods have become an important tool for predictive modeling and forecasting. However, most methods focus on estimating the conditional mean or specific…

Machine Learning · Statistics 2019-03-15 Rui Li , Howard D. Bondell , Brian J. Reich

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

Mapping data from and/or onto a known family of distributions has become an important topic in machine learning and data analysis. Deep generative models (e.g., generative adversarial networks ) have been used effectively to match known and…

Machine Learning · Computer Science 2020-10-30 Surojit Saha , Shireen Elhabian , Ross T. Whitaker

In a given classification task, the accuracy of the learner is often hampered by finiteness of the training set, high-dimensionality of the feature space and severe overlap between classes. In the context of interpretable learners, with…

Machine Learning · Computer Science 2025-04-03 Marco Canducci , Lida Abdi , Alessandro Prete , Roland J. Veen , Michael Biehl , Wiebke Arlt , Peter Tino

We consider multi-class classification where the predictor has a hierarchical structure that allows for a very large number of labels both at train and test time. The predictive power of such models can heavily depend on the structure of…

Machine Learning · Statistics 2017-03-06 Yacine Jernite , Anna Choromanska , David Sontag