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Fixed-node diffusion Monte Carlo (DMC) is a stochastic algorithm for finding the lowest energy many-fermion wave function with the same nodal surface as a chosen trial function. It has proved itself among the most accurate methods available…

Condensed Matter · Physics 2009-10-31 W. M. C. Foulkes , Randolph Q. Hood , R. J. Needs

An effective approach for sampling from unnormalized densities is based on the idea of gradually transporting samples from an easy prior to the complicated target distribution. Two popular methods are (1) Sequential Monte Carlo (SMC), where…

Machine Learning · Statistics 2025-09-09 Junhua Chen , Lorenz Richter , Julius Berner , Denis Blessing , Gerhard Neumann , Anima Anandkumar

Deep generative models such as diffusion and flow matching are powerful machine learning tools capable of learning and sampling from high-dimensional distributions. They are particularly useful when the training data appears to be…

High Energy Physics - Phenomenology · Physics 2026-04-30 Zachary Bogorad , Ibrahim Elsharkawy , Yonatan Kahn , Andrew J. Larkoski , Noam Levi

Generative models based on invertible transformations provide a physics-aware route to sample equilibrium configurations directly from the Boltzmann distribution, enabling efficient exploration of complex thermodynamic landscapes. Here, we…

Statistical Mechanics · Physics 2026-03-06 Luigi de Santis , John Russo , Andrea Ninarello

Diffusion Transformers (DiTs) have demonstrated strong performance in generative modeling, particularly in image synthesis, making them a compelling choice for molecular conformer generation. However, applying DiTs to molecules introduces…

Machine Learning · Computer Science 2025-11-12 J. Thorben Frank , Winfried Ripken , Gregor Lied , Klaus-Robert Müller , Oliver T. Unke , Stefan Chmiela

We apply diffusion quantum Monte Carlo (DMC) to a broad set of solids, benchmarking the method by comparing bulk structural properties (equilibrium volume and bulk modulus) to experiment and DFT based theories. The test set includes…

Materials Science · Physics 2015-06-17 Luke Shulenburger , Thomas R. Mattsson

Many problems in the physical sciences, machine learning, and statistical inference necessitate sampling from a high-dimensional, multi-modal probability distribution. Markov Chain Monte Carlo (MCMC) algorithms, the ubiquitous tool for this…

Data Analysis, Statistics and Probability · Physics 2022-05-12 Marylou Gabrié , Grant M. Rotskoff , Eric Vanden-Eijnden

Recent experimental findings on anomalous diffusion have demanded novel models that combine annealed (temporal) and quenched (spatial or static) disorder mechanisms. The comb-model is a simplified description of diffusion on percolation…

Statistical Mechanics · Physics 2020-03-03 A. A. Tateishi , H. V. Ribeiro , T. Sandev , I. Petreska , E. K. Lenzi

Diffusion Models (DM) and Consistency Models (CM) are two types of popular generative models with good generation quality on various tasks. When training DM and CM, intermediate weight checkpoints are not fully utilized and only the last…

Computer Vision and Pattern Recognition · Computer Science 2025-02-27 Enshu Liu , Junyi Zhu , Zinan Lin , Xuefei Ning , Shuaiqi Wang , Matthew B. Blaschko , Sergey Yekhanin , Shengen Yan , Guohao Dai , Huazhong Yang , Yu Wang

Diffusion-based models demonstrate impressive generation capabilities. However, they also have a massive number of parameters, resulting in enormous model sizes, thus making them unsuitable for deployment on resource-constraint devices.…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Avideep Mukherjee , Soumya Banerjee , Piyush Rai , Vinay P. Namboodiri

This paper explores the utility of diffusion-based models for anomaly detection, focusing on their efficacy in identifying deviations in both compact and high-resolution datasets. Diffusion-based architectures, including Denoising Diffusion…

Machine Learning · Computer Science 2024-12-11 Aryan Bhosale , Samrat Mukherjee , Biplab Banerjee , Fabio Cuzzolin

We study an element agglomeration coarsening strategy that requires data redistribution at coarse levels when the number of coarse elements becomes smaller than the used computational units (cores). The overall procedure generates coarse…

Numerical Analysis · Mathematics 2025-12-01 Hillary R. Fairbanks , Delyan Z. Kalchev , Chak Shing Lee , Panayot S. Vassilevski

A unified diffusion framework for multi-modal generation and understanding has the transformative potential to achieve seamless and controllable image diffusion and other cross-modal tasks. In this paper, we introduce MMGen, a unified…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Jiepeng Wang , Zhaoqing Wang , Hao Pan , Yuan Liu , Dongdong Yu , Changhu Wang , Wenping Wang

In image processing, solving inverse problems is the task of finding plausible reconstructions of an image that was corrupted by some (usually known) degradation operator. Commonly, this process is done using a generative image model that…

Image and Video Processing · Electrical Eng. & Systems 2025-08-22 Idan Achituve , Hai Victor Habi , Amir Rosenfeld , Arnon Netzer , Idit Diamant , Ethan Fetaya

Diffusion models often yield highly curved trajectories and noisy score targets due to an uninformative, memoryless forward process that induces independent data-noise coupling. We propose Adjoint Schr\"odinger Bridge Matching (ASBM), a…

Computer Vision and Pattern Recognition · Computer Science 2026-02-18 Jeongwoo Shin , Jinhwan Sul , Joonseok Lee , Jaewong Choi , Jaemoo Choi

The Boltzmann Machine (BM) is a neural network composed of stochastically firing neurons that can learn complex probability distributions by adapting the synaptic interactions between the neurons. BMs represent a very generic class of…

Mesoscale and Nanoscale Physics · Physics 2021-09-16 Brian Kiraly , Elze J. Knol , Hilbert J. Kappen , Alexander A. Khajetoorians

Diffusion Models (DMs), also referred to as score-based diffusion models, utilize neural networks to specify score functions. Unlike most other probabilistic models, DMs directly model the score functions, which makes them more flexible to…

Machine Learning · Computer Science 2023-04-11 Weijian Luo

While generative adversarial networks (GAN) are popular for their higher sample quality as opposed to other generative models like the variational autoencoders (VAE) and Boltzmann machines, they suffer from the same difficulty of the…

Machine Learning · Computer Science 2021-12-17 Harshvardhan GM , Aanchal Sahu , Mahendra Kumar Gourisaria

Generative Adversarial Networks (GANs) are proficient at generating synthetic data but continue to suffer from mode collapse, where the generator produces a narrow range of outputs that fool the discriminator but fail to capture the full…

Machine Learning · Computer Science 2025-11-03 Mahsa Valizadeh , Rui Tuo , James Caverlee

Generative machine learning models like the Restricted Boltzmann Machine (RBM) provide a practical approach for ansatz construction within the quantum computing framework. This work introduces a method that efficiently leverages RBM and…

Chemical Physics · Physics 2025-03-12 Sonaldeep Halder , Kartikey Anand , Rahul Maitra