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Diffusion models have become the de facto framework for generating new datasets. The core of these models lies in the ability to reverse a diffusion process in time. The goal of this manuscript is to explain, from a PDE perspective, how…

Probability · Mathematics 2025-01-29 Fei Cao , Kimball Johnston , Thomas Laurent , Justin Le , Sébastien Motsch

Probabilistic models learned as density estimators can be exploited in representation learning beside being toolboxes used to answer inference queries only. However, how to extract useful representations highly depends on the particular…

Machine Learning · Computer Science 2016-08-12 Antonio Vergari , Nicola Di Mauro , Floriana Esposito

Generating a Boltzmann distribution in high dimension has recently been achieved with Normalizing Flows, which enable fast and exact computation of the generated density, and thus unbiased estimation of expectations. However, current…

Machine Learning · Computer Science 2023-01-16 Loris Felardos , Jérôme Hénin , Guillaume Charpiat

In recent years, optimization in the learned latent space of deep generative models has been successfully applied to black-box optimization problems such as drug design, image generation or neural architecture search. Existing models…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Steffen Jung , Jan Christian Schwedhelm , Claudia Schillings , Margret Keuper

Interpretability has become incredibly important as machine learning is increasingly used to inform consequential decisions. We propose to construct global explanations of complex, blackbox models in the form of a decision tree…

Machine Learning · Computer Science 2019-01-28 Osbert Bastani , Carolyn Kim , Hamsa Bastani

With increased interest in adopting AI methods for clinical diagnosis, a vital step towards safe deployment of such tools is to ensure that the models not only produce accurate predictions but also do not generalize to data regimes where…

Machine Learning · Computer Science 2021-03-08 Vivek Narayanaswamy , Jayaraman J. Thiagarajan , Deepta Rajan , Andreas Spanias

This paper discusses the problem of weakly supervised classification, in which instances are given weak labels that are produced by some label-corruption process. The goal is to derive conditions under which loss functions for weak-label…

Machine Learning · Statistics 2021-06-14 Shuhei M. Yoshida , Takashi Takenouchi , Masashi Sugiyama

We study the task of replicating the functionality of black-box neural models, for which we only know the output class probabilities provided for a set of input images. We assume back-propagation through the black-box model is not possible…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Antonio Barbalau , Adrian Cosma , Radu Tudor Ionescu , Marius Popescu

Generative models are typically trained on grid-like data such as images. As a result, the size of these models usually scales directly with the underlying grid resolution. In this paper, we abandon discretized grids and instead…

Machine Learning · Computer Science 2022-02-18 Emilien Dupont , Yee Whye Teh , Arnaud Doucet

The combination of deep neural nets and theory-driven models, which we call deep grey-box modeling, can be inherently interpretable to some extent thanks to the theory backbone. Deep grey-box models are usually learned with a regularized…

Machine Learning · Computer Science 2022-10-25 Naoya Takeishi , Alexandros Kalousis

As generative models become ubiquitous, there is a critical need for fine-grained control over the generation process. Yet, while controlled generation methods from prompting to fine-tuning proliferate, a fundamental question remains…

Artificial Intelligence · Computer Science 2026-01-12 Emily Cheng , Carmen Amo Alonso , Federico Danieli , Arno Blaas , Luca Zappella , Pau Rodriguez , Xavier Suau

The cost and scarcity of fully supervised labels in statistical machine learning encourage using partially labeled data for model validation as a cheaper and more accessible alternative. Effectively collecting and leveraging weakly…

Machine Learning · Statistics 2022-06-16 Maxime Cauchois , John Duchi

Generative classifiers are constructed on the basis of a joint probability distribution and are typically learned using closed-form procedures that rely on data statistics and maximize scores related to data fitting. However, these scores…

Machine Learning · Computer Science 2025-03-31 Aritz Pérez , Carlos Echegoyen , Guzmán Santafé

Neural networks are often regarded as universal equations that can estimate any function. This flexibility, however, comes with the drawback of high complexity, rendering these networks into black box models, which is especially relevant in…

Robotics · Computer Science 2025-06-24 Al-Harith Farhad , Khalil Abuibaid , Christiane Plociennik , Achim Wagner , Martin Ruskowski

Recently deep neural networks have been successfully used for various classification tasks, especially for problems with massive perfectly labeled training data. However, it is often costly to have large-scale credible labels in real-world…

Machine Learning · Computer Science 2019-01-15 Mingxiao An , Yongzhou Chen , Qi Liu , Chuanren Liu , Guangyi Lv , Fangzhao Wu , Jianhui Ma

When machine learning models encounter data which is out of the distribution on which they were trained they have a tendency to behave poorly, most prominently over-confidence in erroneous predictions. Such behaviours will have disastrous…

Machine Learning · Computer Science 2021-06-25 Jack Dymond

Partial-label learning is a kind of weakly-supervised learning with inexact labels, where for each training example, we are given a set of candidate labels instead of only one true label. Recently, various approaches on partial-label…

Machine Learning · Computer Science 2022-08-30 Zhenguo Wu , Jiaqi Lv , Masashi Sugiyama

Denoising Probabilistic Models (DPMs) represent an emerging domain of generative models that excel in generating diverse and high-quality images. However, most current training methods for DPMs often neglect the correlation between…

Computer Vision and Pattern Recognition · Computer Science 2024-02-01 Viet Nguyen , Giang Vu , Tung Nguyen Thanh , Khoat Than , Toan Tran

Conformal prediction is a learning framework controlling prediction coverage of prediction sets, which can be built on any learning algorithm for point prediction. This work proposes a learning framework named conformal loss-controlling…

Machine Learning · Computer Science 2024-01-24 Di Wang , Ping Wang , Zhong Ji , Xiaojun Yang , Hongyue Li

We consider the problem of estimating the joint distribution of $n$ independent random variables. Our approach is based on a family of candidate probabilities that we shall call a model and which is chosen to either contain the true…

Statistics Theory · Mathematics 2021-06-01 Yannick Baraud
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