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Translational diffusion coefficients are routinely estimated from molecular dynamics simulations. Linear fits to mean squared displacement (MSD) curves have become the de facto standard, from simple liquids to complex biomacromolecules.…

Computational Physics · Physics 2020-11-20 Jakob Tómas Bullerjahn , Sören von Bülow , Gerhard Hummer

The Kinetic Monte Carlo (KMC) method has become an important tool for examination of phenomena like surface diffusion and thin film growth because of its ability to carry out simulations for time scales that are relevant to experiments. But…

Materials Science · Physics 2007-05-23 Talat S. Rahman , Abdelkader Kara , Altaf Karim , Oleg Trushin

In complex molecular systems, the reaction coordinate (RC) that characterizes transition pathways is essential to understand underlying molecular mechanisms. This review surveys a framework for identifying the RC by applying deep learning…

Chemical Physics · Physics 2026-03-27 Toshifumi Mori , Kei-ichi Okazaki , Kang Kim , Nobuyuki Matubayasi

Finding collective variables to describe some important coarse-grained information on physical systems, in particular metastable states, remains a key issue in molecular dynamics. Recently, machine learning techniques have been intensively…

Chemical Physics · Physics 2024-03-15 Tony Lelièvre , Thomas Pigeon , Gabriel Stoltz , Wei Zhang

Diffusion coefficients are key thermophysical properties for modeling mass transport in liquids, but experimental data are scarce, making reliable prediction methods indispensable. In the present work, we introduce a new method for…

Estimating correspondences between pairs of deformable shapes remains a challenging problem. Despite substantial progress, existing methods lack broad generalization capabilities and require category-specific training data. To address these…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Aleksei Zhuravlev , Zorah Lähner , Vladislav Golyanik

Distribution shifts, where statistical properties differ between training and test datasets, present a significant challenge in real-world machine learning applications where they directly impact model generalization and robustness. In this…

Machine Learning · Computer Science 2024-05-06 Vegard Flovik

Finite symmetric groups $S_n$ are essential in fields such as combinatorics, physics, and chemistry. However, learning a probability distribution over $S_n$ poses significant challenges due to its intractable size and discrete nature. In…

Machine Learning · Computer Science 2025-03-07 Yongxing Zhang , Donglin Yang , Renjie Liao

In recent years, several climate subsystems have been identified that may undergo a relatively rapid transition compared to the changes in their forcing. Such transitions are rare events in general, and simulating long-enough trajectories…

Atmospheric and Oceanic Physics · Physics 2023-06-30 Valérian Jacques-Dumas , René M. van Westen , Freddy Bouchet , Henk A. Dijkstra

Diffusion involving atom transport from one location to another governs many important processes and behaviors such as precipitation and phase nucleation. Local chemical complexity in compositionally complex alloys poses challenges for…

Disordered Systems and Neural Networks · Physics 2024-05-10 Bin Xing , Timothy J. Rupert , Xiaoqing Pan , Penghui Cao

Accurate dose distribution prediction is crucial in the radiotherapy planning. Although previous methods based on convolutional neural network have shown promising performance, they have the problem of over-smoothing, leading to prediction…

Image and Video Processing · Electrical Eng. & Systems 2024-10-31 Xin Liao , Zhenghao Feng , Jianghong Xiao , Xingchen Peng , Yan Wang

Recently, diffusion probabilistic models (DPMs) have achieved promising results in diverse generative tasks. A typical DPM framework includes a forward process that gradually diffuses the data distribution and a reverse process that…

Machine Learning · Computer Science 2023-10-31 Tianyu Pang , Cheng Lu , Chao Du , Min Lin , Shuicheng Yan , Zhijie Deng

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

The committor functions are central to investigating rare but important events in molecular simulations. It is known that computing the committor function suffers from the curse of dimensionality. Recently, using neural networks to estimate…

Machine Learning · Statistics 2025-01-28 Yueyang Wang , Kejun Tang , Xili Wang , Xiaoliang Wan , Weiqing Ren , Chao Yang

Progress in machine learning (ML) has been fueled by scaling neural network models. This scaling has been enabled by ever more heroic feats of engineering, necessary for accommodating ML approaches that require high bandwidth communication…

We derive a minimalist but powerful deterministic denoising-diffusion model. While denoising diffusion has shown great success in many domains, its underlying theory remains largely inaccessible to non-expert users. Indeed, an understanding…

Graphics · Computer Science 2023-05-08 Eric Heitz , Laurent Belcour , Thomas Chambon

During the acquisition of satellite images, there is generally a trade-off between spatial resolution and temporal resolution (acquisition frequency) due to the onboard sensors of satellite imaging systems. High-resolution satellite images…

Computer Vision and Pattern Recognition · Computer Science 2024-11-20 Zhaoxu Luo , Bowen Song , Liyue Shen

Diffusion Probabilistic Models stand as a critical tool in generative modelling, enabling the generation of complex data distributions. This family of generative models yields record-breaking performance in tasks such as image synthesis,…

Generating photos satisfying multiple constraints find broad utility in the content creation industry. A key hurdle to accomplishing this task is the need for paired data consisting of all modalities (i.e., constraints) and their…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Nithin Gopalakrishnan Nair , Wele Gedara Chaminda Bandara , Vishal M. Patel

Distributed trajectory optimization via ADMM-DDP is a powerful approach for coordinating multi-agent systems, but it requires extensive tuning of tightly coupled hyperparameters that jointly govern local task performance and global…

Machine Learning · Computer Science 2025-09-08 Bingheng Wang , Yichao Gao , Tianchen Sun , Lin Zhao