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We build a new class of generative algorithms capable of efficiently learning an arbitrary target distribution from possibly scarce, high-dimensional data and subsequently generate new samples. These generative algorithms are particle-based…

Machine Learning · Statistics 2024-08-29 Hyemin Gu , Panagiota Birmpa , Yannis Pantazis , Luc Rey-Bellet , Markos A. Katsoulakis

Deep learning-based generative models have emerged as powerful tools for modeling complex data distributions and generating high-fidelity samples, offering a transformative approach to efficiently explore the configuration space of…

Materials Science · Physics 2025-11-12 Xiaoshan Luo , Zhenyu Wang , Qingchang Wang , Jian Lv , Lei Wang , Yanchao Wang , Yanming Ma

Generative models based on diffusion have become the state of the art in the last few years, notably for image generation. Here, we analyse them in the high-dimensional limit, where data are formed by a very large number of variables. We…

Disordered Systems and Neural Networks · Physics 2023-10-31 Giulio Biroli , Marc Mézard

Generative models that satisfy hard constraints are critical in many scientific and engineering applications, where physical laws or system requirements must be strictly respected. Many existing constrained generative models, especially…

Machine Learning · Computer Science 2025-03-05 Chaoran Cheng , Boran Han , Danielle C. Maddix , Abdul Fatir Ansari , Andrew Stuart , Michael W. Mahoney , Yuyang Wang

The recently proposed generative flow networks (GFlowNets) are a method of training a policy to sample compositional discrete objects with probabilities proportional to a given reward via a sequence of actions. GFlowNets exploit the…

Machine Learning · Computer Science 2024-02-27 Daniil Tiapkin , Nikita Morozov , Alexey Naumov , Dmitry Vetrov

We study Bayesian inverse problems with mixed noise, modeled as a combination of additive and multiplicative Gaussian components. While traditional inference methods often assume fixed or known noise characteristics, real-world…

Machine Learning · Computer Science 2025-10-17 Paul Hagemann , Robert Gruhlke , Bernhard Stankewitz , Claudia Schillings , Gabriele Steidl

Current network data telemetry pipelines consist of massive streams of fine-grained Key Performance Indicators (KPIs) from multiple distributed sources towards central aggregators, making data storage, transmission, and real-time analysis…

Machine Learning · Computer Science 2026-03-23 Pietro Talli , Qi Liao , Alessandro Lieto , Parijat Bhattacharjee , Federico Chiariotti , Andrea Zanella

We propose a novel modular inference approach combining two different generative models -- generative adversarial networks (GAN) and normalizing flows -- to approximate the posterior distribution of physics-based Bayesian inverse problems…

Computational Engineering, Finance, and Science · Computer Science 2023-10-10 Agnimitra Dasgupta , Dhruv V Patel , Deep Ray , Erik A Johnson , Assad A Oberai

Generative Artificial Intelligence (GenAI) applies models and algorithms such as Large Language Model (LLM) and Foundation Model (FM) to generate new data. GenAI, as a promising approach, enables advanced capabilities in various…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-25 Mozhgan Navardi , Romina Aalishah , Yuzhe Fu , Yueqian Lin , Hai Li , Yiran Chen , Tinoosh Mohsenin

Generative Flow Networks (GFlowNets) are a family of probabilistic generative models that learn to sample compositional objects proportional to their rewards. One big challenge of GFlowNets is training them effectively when dealing with…

Machine Learning · Computer Science 2025-06-16 Zarif Ikram , Ling Pan , Dianbo Liu

Generating new molecules is fundamental to advancing critical applications such as drug discovery and material synthesis. Flows can generate molecules effectively by inverting the encoding process, however, existing flow models either…

Machine Learning · Computer Science 2022-10-14 Yogesh Verma , Samuel Kaski , Markus Heinonen , Vikas Garg

In this work, we propose a new family of generative flows on an augmented data space, with an aim to improve expressivity without drastically increasing the computational cost of sampling and evaluation of a lower bound on the likelihood.…

Machine Learning · Computer Science 2020-02-19 Chin-Wei Huang , Laurent Dinh , Aaron Courville

Sequential probabilistic inference from streaming observations requires modeling distributions over future trajectories as new observations arrive. Although diffusion and flow-matching models are effective at capturing high-dimensional,…

Machine Learning · Computer Science 2026-05-15 Yinan Huang , Hans Hao-Hsun Hsu , Junran Wang , Bo Dai , Pan Li

The field of deep generative modeling has grown rapidly in the last few years. With the availability of massive amounts of training data coupled with advances in scalable unsupervised learning paradigms, recent large-scale generative models…

Iterative Gaussianization is a fixed-point iteration procedure that can transform any continuous random vector into a Gaussian one. Based on iterative Gaussianization, we propose a new type of normalizing flow model that enables both…

Machine Learning · Computer Science 2020-03-05 Chenlin Meng , Yang Song , Jiaming Song , Stefano Ermon

Generative flows models enjoy the properties of tractable exact likelihood and efficient sampling, which are composed of a sequence of invertible functions. In this paper, we incorporate matrix exponential into generative flows. Matrix…

Machine Learning · Computer Science 2020-07-21 Changyi Xiao , Ligang Liu

Generative models are a class of AI models capable of creating new instances of data by learning and sampling from their statistical distributions. In recent years, these models have gained prominence in machine learning due to the…

We propose a unified, few-step generative modeling framework based on \emph{cumulative flow maps} for long-range transport in probability space, inspired by flow-map techniques for physical transport and dynamics. At its core is a…

Machine Learning · Computer Science 2026-05-06 Zhiqi Li , Duowen Chen , Yuchen Sun , Bo Zhu

Beyond estimating parameters of interest from data, one of the key goals of statistical inference is to properly quantify uncertainty in these estimates. In Bayesian inference, this uncertainty is provided by the posterior distribution, the…

Machine Learning · Computer Science 2025-01-03 Daniela de Albuquerque , John Pearson

Generative Adversarial Networks (GANs) can produce high-quality samples, but do not provide an estimate of the probability density around the samples. However, it has been noted that maximizing the log-likelihood within an energy-based…

Machine Learning · Computer Science 2023-10-03 Omri Ben-Dov , Pravir Singh Gupta , Victoria Abrevaya , Michael J. Black , Partha Ghosh