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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

Machine Learning (ML)-based unfolding methods have enabled high-dimensional and unbinned differential cross section measurements. While a suite of such methods has been proposed, most focus exclusively on the challenge of statistically…

High Energy Physics - Phenomenology · Physics 2025-09-04 Anja Butter , Nathan Huetsch , Vinicius Mikuni , Benjamin Nachman , Sofia Palacios Schweitzer

Deep generative models are often used for human motion prediction as they are able to model multi-modal data distributions and characterize diverse human behavior. While much care has been taken into designing and learning deep generative…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Ye Yuan , Kris Kitani

Flow matching models have emerged as a powerful method for generative modeling on domains like images or videos, and even on irregular or unstructured data like 3D point clouds or even protein structures. These models are commonly trained…

Machine Learning · Computer Science 2025-05-30 Yuyang Wang , Anurag Ranjan , Josh Susskind , Miguel Angel Bautista

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

We introduce generative models for accelerating simulations of complex systems through learning and evolving their effective dynamics. In the proposed Generative Learning of Effective Dynamics (G-LED), instances of high dimensional data are…

Machine Learning · Computer Science 2024-02-28 Han Gao , Sebastian Kaltenbach , Petros Koumoutsakos

Real-world data with underlying structure, such as pictures of faces, are hypothesized to lie on a low-dimensional manifold. This manifold hypothesis has motivated state-of-the-art generative algorithms that learn low-dimensional data…

Machine Learning · Statistics 2022-04-28 Edmond Cunningham , Renos Zabounidis , Abhinav Agrawal , Madalina Fiterau , Daniel Sheldon

Over the last years, deep learning methods have become an increasingly popular choice to solve tasks from the field of inverse problems. Many of these new data-driven methods have produced impressive results, although most only give point…

Image and Video Processing · Electrical Eng. & Systems 2021-10-28 Alexander Denker , Maximilian Schmidt , Johannes Leuschner , Peter Maass

Machine learning enables unbinned, highly-differential cross section measurements. A recent idea uses generative models to morph a starting simulation into the unfolded data. We show how to extend two morphing techniques, Schr\"odinger…

High Energy Physics - Phenomenology · Physics 2025-06-25 Anja Butter , Sascha Diefenbacher , Nathan Huetsch , Vinicius Mikuni , Benjamin Nachman , Sofia Palacios Schweitzer , Tilman Plehn

Flow-based generative models have highly desirable properties like exact log-likelihood evaluation and exact latent-variable inference, however they are still in their infancy and have not received as much attention as alternative…

Computer Vision and Pattern Recognition · Computer Science 2020-04-06 Albert Pumarola , Stefan Popov , Francesc Moreno-Noguer , Vittorio Ferrari

Generative AI (GenAI) has revolutionized data-driven modeling by enabling the synthesis of high-dimensional data across various applications, including image generation, language modeling, biomedical signal processing, and anomaly…

Machine Learning · Computer Science 2025-09-09 Yao Xie , Xiuyuan Cheng

Generative flows are promising tractable models for density modeling that define probabilistic distributions with invertible transformations. However, tractability imposes architectural constraints on generative flows, making them less…

Machine Learning · Statistics 2020-07-23 Jianfei Chen , Cheng Lu , Biqi Chenli , Jun Zhu , Tian Tian

We combine concept-based neural networks with generative, flow-based classifiers into a novel, intrinsically explainable, exactly invertible approach to supervised learning. Prototypical neural networks, a type of concept-based neural…

Machine Learning · Computer Science 2024-07-18 Zachariah Carmichael , Timothy Redgrave , Daniel Gonzalez Cedre , Walter J. Scheirer

Machine learning-based unfolding has enabled unbinned and high-dimensional differential cross section measurements. Two main approaches have emerged in this research area: one based on discriminative models and one based on generative…

High Energy Physics - Phenomenology · Physics 2026-03-27 Sascha Diefenbacher , Guan-Horng Liu , Vinicius Mikuni , Benjamin Nachman , Weili Nie

Brain surface analysis is essential to neuroscience, however, the complex geometry of the brain cortex hinders computational methods for this task. The difficulty arises from a discrepancy between 3D imaging data, which is represented in…

Computer Vision and Pattern Recognition · Computer Science 2019-11-25 Karthik Gopinath , Christian Desrosiers , Herve Lombaert

The flow-based generative model is a deep learning generative model, which obtains the ability to generate data by explicitly learning the data distribution. Theoretically its ability to restore data is stronger than other generative…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Gao Xu , Yuanpeng Long , Siwei Liu , Lijia Yang , Shimei Xu , Xiaoming Yao , Kunxian Shu

Positron emission tomography (PET) imaging is an imaging modality for diagnosing a number of neurological diseases. In contrast to Magnetic Resonance Imaging (MRI), PET is costly and involves injecting a radioactive substance into the…

Image and Video Processing · Electrical Eng. & Systems 2019-08-23 Haoliang Sun , Ronak Mehta , Hao H. Zhou , Zhichun Huang , Sterling C. Johnson , Vivek Prabhakaran , Vikas Singh

We are interested in learning generative models for complex geometries described via manifolds, such as spheres, tori, and other implicit surfaces. Current extensions of existing (Euclidean) generative models are restricted to specific…

Machine Learning · Statistics 2021-11-04 Noam Rozen , Aditya Grover , Maximilian Nickel , Yaron Lipman

Generative flows are attractive because they admit exact likelihood optimization and efficient image synthesis. Recently, Kingma & Dhariwal (2018) demonstrated with Glow that generative flows are capable of generating high quality images.…

Machine Learning · Computer Science 2019-05-21 Emiel Hoogeboom , Rianne van den Berg , Max Welling

Generative models have recently revolutionized image generation tasks across diverse domains, including galaxy image synthesis. This study investigates the statistical learning and consistency of three generative models: light-weight-gan (a…

Instrumentation and Methods for Astrophysics · Physics 2025-05-13 Jean-Eric Campagne