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We introduce Midpoint Generative Models (MGM), a principled framework for training one-step generative models. MGM is based on a simple symmetry of Flow Matching with linear interpolation: when the two endpoint distributions coincide, the…

Machine Learning · Computer Science 2026-05-29 Daniil Shlenskii , Nikita Gushchin , Lev Novitskiy , Dmitry V. Dylov , Alexander Korotin

Metasurfaces offer a flexible framework for the manipulation of light properties in the realm of thin film optics. Specifically, the polarization of light can be effectively controlled through the use of thin phase plates. This study aims…

We present a framework for automatically structuring and training fast, approximate, deep neural surrogates of stochastic simulators. Unlike traditional approaches to surrogate modeling, our surrogates retain the interpretable structure and…

Deep generative modeling has emerged as a powerful tool for synthesizing realistic medical images, driving advances in medical image analysis, disease diagnosis, and treatment planning. This chapter explores various deep generative models…

Image and Video Processing · Electrical Eng. & Systems 2024-10-24 Paul Friedrich , Yannik Frisch , Philippe C. Cattin

High-performance scientific simulations, important for comprehension of complex systems, encounter computational challenges especially when exploring extensive parameter spaces. There has been an increasing interest in developing deep…

Machine Learning · Computer Science 2024-07-15 Pradeep Bajracharya , Javier Quetzalcóatl Toledo-Marín , Geoffrey Fox , Shantenu Jha , Linwei Wang

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…

Prior work has shown Convolutional Neural Networks (CNNs) trained on surrogate Computer Aided Design (CAD) models are able to detect and classify real-world artefacts from photographs. The applications of which support twinning of digital…

Machine Learning · Computer Science 2021-06-07 Ric Real , James Gopsill , David Jones , Chris Snider , Ben Hicks

Diffusion Probabilistic Models (DPMs) have recently shown remarkable performance in image generation tasks, which are capable of generating highly realistic images. When adopting DPMs for image restoration tasks, the crucial aspect lies in…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Yi Zhang , Xiaoyu Shi , Dasong Li , Xiaogang Wang , Jian Wang , Hongsheng Li

Diffusion-based generative models (DBGMs) perturb data to a target noise distribution and reverse this process to generate samples. The choice of noising process, or inference diffusion process, affects both likelihoods and sample quality.…

Machine Learning · Computer Science 2023-03-06 Raghav Singhal , Mark Goldstein , Rajesh Ranganath

Surrogate models are used for global approximation of responses generated by expensive computer experiments like CFD applications. In this paper, we make use of structural similarities which are shared by a class of related problems. We…

Numerical Analysis · Mathematics 2012-06-20 Benjamin Rosenbaum , Volker Schulz

Continuous Conditional Diffusion Model (CCDM) is a diffusion-based framework designed to generate high-quality images conditioned on continuous regression labels. Although CCDM has demonstrated clear advantages over prior approaches across…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Xin Ding , Yun Chen , Sen Zhang , Kao Zhang , Nenglun Chen , Peibei Cao , Yongwei Wang , Fei Wu

The Dynamical Graph Grammar (DGG) formalism can describe complex system dynamics with graphs that are mapped into a master equation. An exact stochastic simulation algorithm may be used, but it is slow for large systems. To overcome this…

Quantitative Methods · Quantitative Biology 2024-07-16 Eric Medwedeff , Eric Mjolsness

Generative modeling seeks to approximate the statistical properties of real data, enabling synthesis of new data that closely resembles the original distribution. Generative Adversarial Networks (GANs) and Denoising Diffusion Probabilistic…

Computer Vision and Pattern Recognition · Computer Science 2024-07-04 Marawan Elbatel , Konstantinos Kamnitsas , Xiaomeng Li

Generative adversarial networks (GANs) are frequently utilized in astronomy to construct an emulator of numerical simulations. Nevertheless, training GANs can prove to be a precarious task, as they are prone to instability and often lead to…

Instrumentation and Methods for Astrophysics · Physics 2023-11-14 Xiaosheng Zhao , Yuan-Sen Ting , Kangning Diao , Yi Mao

Segmentation masks of pathological areas are useful in many medical applications, such as brain tumour and stroke management. Moreover, healthy counterfactuals of diseased images can be used to enhance radiologists' training files and to…

Image and Video Processing · Electrical Eng. & Systems 2024-10-02 Alessandro Fontanella , Grant Mair , Joanna Wardlaw , Emanuele Trucco , Amos Storkey

Physics-inspired Generative Models (GMs), in particular Diffusion Models (DMs) and Poisson Flow Models (PFMs), enhance Bayesian methods and promise great utility in medical imaging. This review examines the transformative role of such…

Image and Video Processing · Electrical Eng. & Systems 2024-08-26 Dennis Hein , Afshin Bozorgpour , Dorit Merhof , Ge Wang

We introduce a method to construct a stochastic surrogate model from the results of dimensionality reduction in forward uncertainty quantification. The hypothesis is that the high-dimensional input augmented by the output of a computational…

Applications · Statistics 2026-02-12 Jungho Kim , Sang-ri Yi , Ziqi Wang

This paper presents a data-driven model for Linear Time-Invariant (LTI) stochastic systems by sampling from the conditional probability distribution of future outputs given past input-outputs and future inputs. It operates in a fully…

Optimization and Control · Mathematics 2025-11-27 Jiayun Li , Yilin Mo

Denoising diffusion probabilistic models (DDPMs) are becoming the leading paradigm for generative models. It has recently shown breakthroughs in audio synthesis, time series imputation and forecasting. In this paper, we propose…

Machine Learning · Computer Science 2024-10-22 Xinyu Yuan , Yan Qiao

Existing deep learning-based surrogate models facilitate efficient data generation, but fall short in uncertainty quantification, efficient parameter space exploration, and reverse prediction. In our work, we introduce SurroFlow, a novel…

Machine Learning · Computer Science 2024-07-19 Jingyi Shen , Yuhan Duan , Han-Wei Shen
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