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This paper proposes a new theory and methodology to tackle the problem of unifying distributed analyses and inferences on shared parameters from multiple sources, into a single coherent inference. This surprisingly challenging problem…

Methodology · Statistics 2019-07-22 Hongsheng Dai , Murray Pollock , Gareth Roberts

Diffusion-based generative modeling has been achieving state-of-the-art results on various generation tasks. Most diffusion models, however, are limited to a single-generation modeling. Can we generalize diffusion models with the ability of…

Computer Vision and Pattern Recognition · Computer Science 2024-09-26 Changyou Chen , Han Ding , Bunyamin Sisman , Yi Xu , Ouye Xie , Benjamin Z. Yao , Son Dinh Tran , Belinda Zeng

Counterfactual explanations have been successfully applied to create human interpretable explanations for various black-box models. They are handy for tasks in the image domain, where the quality of the explanations benefits from recent…

Machine Learning · Computer Science 2025-03-27 Trung Duc Ha , Sidney Bender

A novel evolutionary method is introduced that can be used for constraining the parameters and theoretical models of Cosmology. The newly proposed algorithm, which is inherently parallel by design, is able to obtain the full potential of…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-28 Supin P Surendran , Aiswarya A , Rinsy Thomas , Minu Joy

Sampling-based inference has seen a surge of interest in recent years. Hamiltonian Monte Carlo (HMC) has emerged as a powerful algorithm that leverages concepts from Hamiltonian dynamics to efficiently explore complex target distributions.…

Computation · Statistics 2026-04-07 Arghya Mukherjee , Dootika Vats

State-of-the-art diffusion models can generate highly realistic images based on various conditioning like text, segmentation, and depth. However, an essential aspect often overlooked is the specific camera geometry used during image…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Andrey Voynov , Amir Hertz , Moab Arar , Shlomi Fruchter , Daniel Cohen-Or

The discovery of inorganic crystal structures with targeted properties is a significant challenge in materials science. Generative models, especially state-of-the-art diffusion models, offer the promise of modeling complex data…

Traditionally, the field of computational Bayesian statistics has been divided into two main subfields: variational methods and Markov chain Monte Carlo (MCMC). In recent years, however, several methods have been proposed based on combining…

Computation · Statistics 2017-04-19 Cheng Zhang , Babak Shahbaba , Hongkai Zhao

Beyond high-fidelity image synthesis, diffusion models have recently exhibited promising results in dense visual perception tasks. However, most existing work treats diffusion models as a standalone component for perception tasks, employing…

Computer Vision and Pattern Recognition · Computer Science 2025-12-18 Shuhong Zheng , Zhipeng Bao , Ruoyu Zhao , Martial Hebert , Yu-Xiong Wang

Galaxies are biased tracers of the underlying cosmic web, which is dominated by dark matter components that cannot be directly observed. The relationship between dark matter density fields and galaxy distributions can be sensitive to…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-16 Core Francisco Park , Victoria Ono , Nayantara Mudur , Yueying Ni , Carolina Cuesta-Lazaro

Generative diffusion models have recently emerged as a powerful strategy to perform stochastic sampling in Bayesian inverse problems, delivering remarkably accurate solutions for a wide range of challenging applications. However, diffusion…

Computation · Statistics 2025-05-15 Abdul-Lateef Haji-Ali , Marcelo Pereyra , Luke Shaw , Konstantinos Zygalakis

We develop exact Markov chain Monte Carlo methods for discretely-sampled, directly and indirectly observed diffusions. The qualification "exact" refers to the fact that the invariant and limiting distribution of the Markov chains is the…

Direct sampling of multi-dimensional systems with quantum Monte Carlo methods allows exact account of many-body effects or particle correlations. The most straightforward approach to solve the Schr\"odinger equation, Diffusion Monte Carlo,…

Quantum Physics · Physics 2017-09-07 Ilkka Ruokosenmäki , Tapio T. Rantala

Field-level inference provides a means to optimally extract information from upcoming cosmological surveys, but requires efficient sampling of a high-dimensional parameter space. This work applies Microcanonical Langevin Monte Carlo (MCLMC)…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-20 Adrian E. Bayer , Uros Seljak , Chirag Modi

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

Recent advances in denoising diffusion models have enabled rapid generation of optimized structures for topology optimization. However, these models often rely on surrogate predictors to enforce physical constraints, which may fail to…

Machine Learning · Computer Science 2025-08-05 Euihyun Kim , Keun Park , Yeoneung Kim

Diffusion models can be parameterized in terms of either score or energy function. The energy parameterization is attractive as it enables sampling procedures such as Markov Chain Monte Carlo (MCMC) that incorporates a Metropolis--Hastings…

Machine Learning · Statistics 2026-04-02 Anders Sjöberg , Jakob Lindqvist , Magnus Önnheim , Mats Jirstrand , Lennart Svensson

Recently, diffusion model have demonstrated impressive image generation performances, and have been extensively studied in various computer vision tasks. Unfortunately, training and evaluating diffusion models consume a lot of time and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-03 Dohoon Ryu , Jong Chul Ye

One of the most demanding calculations is to generate random samples from a specified probability distribution (usually with an unknown normalizing prefactor) in a high-dimensional configuration space. One often has to resort to using a…

Computational Physics · Physics 2015-06-18 Youhan Fang , Jesus-Maria Sanz-Serna , Robert D. Skeel

Diffusion models, a family of generative models based on deep learning, have become increasingly prominent in cutting-edge machine learning research. With a distinguished performance in generating samples that resemble the observed data,…

Machine Learning · Computer Science 2023-05-02 Lequan Lin , Zhengkun Li , Ruikun Li , Xuliang Li , Junbin Gao
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