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Diffusion models offer stable training and state-of-the-art performance for deep generative modeling tasks. Here, we consider their use in the context of multivariate subsurface modeling and probabilistic inversion. We first demonstrate…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Roberto Miele , Niklas Linde

Generative Bayesian Computation (GBC) methods are developed for Casual Inference. Generative methods are simulation-based methods that use a large training dataset to represent posterior distributions as a map (a.k.a. optimal transport) to…

Methodology · Statistics 2024-12-25 Maria Nareklishvili , Nicholas Polson , Vadim Sokolov

Real-world physical systems are inherently complex, often involving the coupling of multiple physics, making their simulation both highly valuable and challenging. Many mainstream approaches face challenges when dealing with decoupled data.…

Machine Learning · Computer Science 2026-01-28 Tianrun Gao , Haoren Zheng , Wenhao Deng , Haodong Feng , Tao Zhang , Ruiqi Feng , Qianyi Chen , Tailin Wu

There is a growing gap between the impressive results of deep image generative models and classical algorithms that offer theoretical guarantees. The former suffer from mode collapse or memorization issues, limiting their application to…

Machine Learning · Statistics 2023-06-02 Florentin Guth , Etienne Lempereur , Joan Bruna , Stéphane Mallat

For classification tasks, probabilistic models can be categorized into two disjoint classes: generative or discriminative. It depends on the posterior probability computation of the label $x$ given the observation $y$, $p(x | y)$. On the…

Machine Learning · Statistics 2021-03-08 Elie Azeraf , Emmanuel Monfrini , Wojciech Pieczynski

Limited visibility of distribution network power flows at the low voltage level presents challenges to both distribution network operators from a planning perspective and distribution system operators from a congestion management…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Alistair Brash , Junyi Lu , Bruce Stephen , Blair Brown , Robert Atkinson , Craig Michie , Fraser MacIntyre , Christos Tachtatzis

While deep generative models~(DGMs) have demonstrated remarkable success in capturing complex data distributions, they consistently fail to learn constraints that encode domain knowledge and thus require constraint integration. Existing…

Machine Learning · Computer Science 2025-02-13 Ruoyan Li , Dipti Ranjan Sahu , Guy Van den Broeck , Zhe Zeng

Conjoint analysis is a popular experimental design used to measure multidimensional preferences. Researchers examine how varying a factor of interest, while controlling for other relevant factors, influences decision-making. Currently,…

Methodology · Statistics 2024-11-20 Dae Woong Ham , Kosuke Imai , Lucas Janson

Progress in probabilistic generative models has accelerated, developing richer models with neural architectures, implicit densities, and with scalable algorithms for their Bayesian inference. However, there has been limited progress in…

Machine Learning · Statistics 2017-10-31 Dustin Tran , David M. Blei

In many fields of science, generalized likelihood ratio tests are established tools for statistical inference. At the same time, it has become increasingly common that a simulator (or generative model) is used to describe complex processes…

Applications · Statistics 2016-03-21 Kyle Cranmer , Juan Pavez , Gilles Louppe

Generative models coupled with reinforcement learning (RL), such as REINVENT and PepINVENT, have emerged as a powerful framework for de novo molecular design. During the ideation process these generative frameworks utilize various…

Artificial Intelligence · Computer Science 2026-05-08 Laura van Weesep , Sunay Chankeshwara , Leonardo De Maria , Florian David , Ola Engkvist , Gökçe Geylan

We deal with Bayesian generative and discriminative classifiers. Given a model distribution $p(x, y)$, with the observation $y$ and the target $x$, one computes generative classifiers by firstly considering $p(x, y)$ and then using the…

Machine Learning · Statistics 2022-07-25 Elie Azeraf , Emmanuel Monfrini , Wojciech Pieczynski

Fitting generative models to sequential data typically involves two recursive computations through time, one forward and one backward. The latter could be a computation of the loss gradient (as in backpropagation through time), or an…

Machine Learning · Computer Science 2023-10-23 Azwar Abdulsalam , Joseph G. Makin

Modeling the probability distribution of rows in tabular data and generating realistic synthetic data is a non-trivial task. Tabular data usually contains a mix of discrete and continuous columns. Continuous columns may have multiple modes…

Machine Learning · Computer Science 2019-10-29 Lei Xu , Maria Skoularidou , Alfredo Cuesta-Infante , Kalyan Veeramachaneni

Generating images from a single sample, as a newly developing branch of image synthesis, has attracted extensive attention. In this paper, we formulate this problem as sampling from the conditional distribution of a single image, and…

Computer Vision and Pattern Recognition · Computer Science 2022-01-07 ZiCheng Zhang , CongYing Han , TianDe Guo

Generative models are now capable of producing highly realistic images that look nearly indistinguishable from the data on which they are trained. This raises the question: if we have good enough generative models, do we still need…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Ali Jahanian , Xavier Puig , Yonglong Tian , Phillip Isola

Complex networks theory has commonly been used for modelling and understanding the interactions taking place between the elements composing complex systems. More recently, the use of generative models has gained momentum, as they allow…

Physics and Society · Physics 2016-05-19 Massimiliano Zanin , Marco Correia , Pedro A. C. Sousa , Jorge Cruz

Data synthesis for training large reasoning models offers a scalable alternative to limited, human-curated datasets, enabling the creation of high-quality data. However, existing approaches face several challenges: (i) indiscriminate…

Artificial Intelligence · Computer Science 2026-05-11 Yongxian Wei , Yilin Zhao , Zixuan Hu , Li Shen , Xinrui Chen , Runxi Cheng , Sinan Du , Hao Yu , Chun Yuan , Dian Li

We introduce and motivate generative modeling as a central task for machine learning and provide a critical view of the algorithms which have been proposed for solving this task. We overview how generative modeling can be defined…

Machine Learning · Computer Science 2021-03-02 Alex Lamb

This article concerns a class of generalized linear mixed models for clustered data, where the random effects are mapped uniquely onto the grouping structure and are independent between groups. We derive necessary and sufficient conditions…

Methodology · Statistics 2017-09-20 Jarod Y. L. Lee , Peter J. Green , Louise M. Ryan