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Recently, generative machine-learning models have gained popularity in physics, driven by the goal of improving the efficiency of Markov chain Monte Carlo techniques and of exploring their potential in capturing experimental data…

Statistical Mechanics · Physics 2021-09-03 Japneet Singh , Vipul Arora , Vinay Gupta , Mathias S. Scheurer

In this paper, we propose a general framework for testing the conditional distribution equality in a two-sample problem, which is most relevant to covariate shift and causal discovery. Our framework is built on neural network-based…

Machine Learning · Computer Science 2025-11-27 Siming Zheng , Tong Wang , Meifang Lan , Yuanyuan Lin

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

Visuomotor policies based on generative architectures such as diffusion and flow-based matching have shown strong performance but degrade under distribution shifts, demonstrating limited recovery capabilities without costly finetuning. In…

Robotics · Computer Science 2025-12-29 Yusuf Ali , Gryphon Patlin , Karthik Kothuri , Muhammad Zubair Irshad , Wuwei Liang , Zsolt Kira

Simulating stochastic differential equations (SDEs) in bounded domains, presents significant computational challenges due to particle exit phenomena, which requires accurate modeling of interior stochastic dynamics and boundary…

Machine Learning · Statistics 2025-07-23 Minglei Yang , Yanfang Liu , Diego del-Castillo-Negrete , Yanzhao Cao , Guannan Zhang

It seems that in the current age, computers, computation, and data have an increasingly important role to play in scientific research and discovery. This is reflected in part by the rise of machine learning and artificial intelligence,…

Machine Learning · Computer Science 2024-05-15 Ronan Keane

Invertible flow-based generative models are an effective method for learning to generate samples, while allowing for tractable likelihood computation and inference. However, the invertibility requirement restricts models to have the same…

Machine Learning · Computer Science 2020-02-21 Abhishek Kumar , Ben Poole , Kevin Murphy

Generating realistic graph-structured data is challenging due to discrete structures, variable sizes, and class-specific connectivity patterns that resist conventional generative modelling. While recent graph generation methods employ…

Machine Learning · Computer Science 2026-02-02 Seyedeh Ava Razi Razavi , James Sargant , Sheridan Houghten , Renata Dividino

We developed a new class of physics-informed generative adversarial networks (PI-GANs) to solve in a unified manner forward, inverse and mixed stochastic problems based on a limited number of scattered measurements. Unlike standard GANs…

Machine Learning · Statistics 2018-11-07 Liu Yang , Dongkun Zhang , George Em Karniadakis

Reconstructing near-wall turbulence from wall-based measurements is a critical yet inherently ill-posed problem in wall-bounded flows, where limited sensing and spatially heterogeneous flow-wall coupling challenge deterministic estimation…

Fluid Dynamics · Physics 2025-04-22 Meet Hemant Parikh , Xiantao Fan , Jian-Xun Wang

Score-based diffusion models have emerged as effective approaches for both conditional and unconditional generation. Still conditional generation is based on either a specific training of a conditional model or classifier guidance, which…

Machine Learning · Computer Science 2024-12-25 Davide Scassola , Sebastiano Saccani , Ginevra Carbone , Luca Bortolussi

Guidance in conditional diffusion generation is of great importance for sample quality and controllability. However, existing guidance schemes are to be desired. On one hand, mainstream methods such as classifier guidance and…

Machine Learning · Computer Science 2023-10-18 Jiajun Ma , Tianyang Hu , Wenjia Wang , Jiacheng Sun

Hard constraints in generative sampling are typically enforced by projection, applied either once at the end of sampling or after every update. This binary framing overlooks a fundamental issue: projection changes the distribution of states…

Machine Learning · Computer Science 2026-05-13 Noah Trupin , Yexiang Xue

Generative modeling of time series is a central challenge in time series analysis, particularly under data-scarce conditions. Despite recent advances in generative modeling, a comprehensive understanding of how state-of-the-art generative…

Machine Learning · Computer Science 2025-05-28 Tal Gonen , Itai Pemper , Ilan Naiman , Nimrod Berman , Omri Azencot

Data-driven emulation of nonlinear dynamics is challenging due to long-range skill decay that often produces physically unrealistic outputs. Recent advances in generative modeling aim to address these issues by providing uncertainty…

Machine Learning · Computer Science 2025-10-28 Juan Nathaniel , Pierre Gentine

Generalized zero-shot learning (GZSL) aims to recognize both seen and unseen classes by transferring knowledge from semantic descriptions to visual representations. Recent generative methods formulate GZSL as a missing data problem, which…

Computer Vision and Pattern Recognition · Computer Science 2020-09-02 Yu-Chao Gu , Le Zhang , Yun Liu , Shao-Ping Lu , Ming-Ming Cheng

Equations governing physico-chemical processes are usually known at microscopic spatial scales, yet one suspects that there exist equations, e.g. in the form of Partial Differential Equations (PDEs), that can explain the system evolution at…

Machine Learning · Statistics 2021-03-31 Hassan Arbabi , Ioannis Kevrekidis

Conditional domain generation is a good way to interactively control sample generation process of deep generative models. However, once a conditional generative model has been created, it is often expensive to allow it to adapt to new…

Machine Learning · Computer Science 2018-05-28 Yingjing Lu

While Generative Adversarial Networks (GANs) achieve spectacular results on unstructured data like images, there is still a gap on tabular data, data for which state of the art supervised learning still favours to a large extent decision…

Machine Learning · Computer Science 2022-02-14 Richard Nock , Mathieu Guillame-Bert

In standard generative deep learning models, such as autoencoders or GANs, the size of the parameter set is proportional to the complexity of the generated data distribution. A significant challenge is to deploy resource-hungry deep…

Machine Learning · Computer Science 2021-10-29 Shreshth Tuli , Shikhar Tuli , Giuliano Casale , Nicholas R. Jennings