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Microscopic processes on surfaces such as adsorption, desorption, diffusion and reaction of interacting particles can be simulated using kinetic Monte Carlo (kMC) algorithms. Even though kMC methods are accurate, they are computationally…

Mathematical Physics · Physics 2013-12-24 Yannis Pantazis , Markos Katsoulakis

The classification of high dimensional data with kernel methods is considered in this article. Exploit- ing the emptiness property of high dimensional spaces, a kernel based on the Mahalanobis distance is proposed. The computation of the…

Numerical Analysis · Computer Science 2012-09-11 M. Fauvel , A. Villa , J. Chanussot , J. A. Benediktsson

Generative diffusion models have shown empirical successes in point cloud resampling, generating a denser and more uniform distribution of points from sparse or noisy 3D point clouds by progressively refining noise into structure. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Wenqiang Xu , Wenrui Dai , Duoduo Xue , Ziyang Zheng , Chenglin Li , Junni Zou , Hongkai Xiong

Composite likelihood estimation has an important role in the analysis of multivariate data for which the full likelihood function is intractable. An important issue in composite likelihood inference is the choice of the weights associated…

Methodology · Statistics 2015-12-15 Davide Ferrari , Chao Zheng

We present the detailed analysis of the diffusive transport of spatially inhomogeneous fluid mixtures and the interplay between structural and dynamical properties varying on the atomic scale. The present treatment is based on different…

Mesoscale and Nanoscale Physics · Physics 2011-05-19 Umberto Marini Bettolo Marconi , Simone Melchionna

Molecular structure elucidation from spectra is a fundamental challenge in molecular science. Conventional approaches rely heavily on expert interpretation and lack scalability, while retrieval-based machine learning approaches remain…

Machine Learning · Computer Science 2025-11-06 Liang Wang , Yu Rong , Tingyang Xu , Zhenyi Zhong , Zhiyuan Liu , Pengju Wang , Deli Zhao , Qiang Liu , Shu Wu , Liang Wang , Yang Zhang

Machine learning methods, such as diffusion models, are widely explored as a promising way to accelerate high-fidelity fluid dynamics computation via a super-resolution process from faster-to-compute low-fidelity input. However, existing…

Computational Engineering, Finance, and Science · Computer Science 2025-12-24 Ruoyan Li , Zijie Huang , Haixin Wang , Guancheng Wan , Yizhou Sun , Wei Wang

This paper investigates score-based diffusion models when the underlying target distribution is concentrated on or near low-dimensional manifolds within the higher-dimensional space in which they formally reside, a common characteristic of…

Machine Learning · Computer Science 2025-01-03 Gen Li , Yuling Yan

Millimeter-wave (mmWave) communication enables high data rates through large bandwidths and highly directional beamforming, but its sensitivity to blockage and mobility makes reliable beam alignment a central challenge. Limited-probing beam…

Signal Processing · Electrical Eng. & Systems 2026-04-10 Amirhossein Azarbahram , Onel L. A. López

Collaborative 3D object detection holds significant importance in the field of autonomous driving, as it greatly enhances the perception capabilities of each individual agent by facilitating information exchange among multiple agents.…

Computer Vision and Pattern Recognition · Computer Science 2025-09-05 Zhe Huang , Shuo Wang , Yongcai Wang , Lei Wang

Score-based diffusion models have emerged as powerful techniques for generating samples from high-dimensional data distributions. These models involve a two-phase process: first, injecting noise to transform the data distribution into a…

Machine Learning · Computer Science 2024-10-21 Runjia Li , Qiwei Di , Quanquan Gu

We consider the problem of inference for nonlinear, multivariate diffusion processes, satisfying It\^o stochastic differential equations (SDEs), using data at discrete times that may be incomplete and subject to measurement error. Our…

Computation · Statistics 2021-09-27 Andrew Golightly , Chris Sherlock

Optimal control of diffusion processes is intimately connected to the problem of solving certain Hamilton-Jacobi-Bellman equations. Building on recent machine learning inspired approaches towards high-dimensional PDEs, we investigate the…

Optimization and Control · Mathematics 2023-01-31 Nikolas Nüsken , Lorenz Richter

The study of the rare transitions that take place between long lived metastable states is a major challenge in molecular dynamics simulations. Many of the methods suggested to address this problem rely on the identification of the slow…

Chemical Physics · Physics 2023-06-07 Dhiman Ray , Enrico Trizio , Michele Parrinello

As a class of generative artificial intelligence frameworks inspired by statistical physics, diffusion models have shown extraordinary performance in synthesizing complicated data distributions through a denoising process gradually guided…

Machine Learning · Computer Science 2026-04-23 Fangjun Hu , Guangkuo Liu , Yifan F. Zhang , Xun Gao

Diffusion Policies have become widely used in Imitation Learning, offering several appealing properties, such as generating multimodal and discontinuous behavior. As models are becoming larger to capture more complex capabilities, their…

Machine Learning · Computer Science 2024-12-18 Moritz Reuss , Jyothish Pari , Pulkit Agrawal , Rudolf Lioutikov

Existing customization methods require access to multiple reference examples to align pre-trained diffusion probabilistic models (DPMs) with user-provided concepts. This paper aims to address the challenge of DPM customization when the only…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Jiachun Pan , Jun Hao Liew , Vincent Y. F. Tan , Jiashi Feng , Hanshu Yan

Complex processes ranging from protein folding to nuclear fission often follow a low-dimension reaction path parameterized in terms of a few collective variables. In nuclear theory, variables related to the shape of the nuclear density in a…

The problem of studying rare events is central to many areas of computer simulations. In a recent paper [Kang, P., et al., Nat. Comput. Sci. 4, 451-460, 2024], we have shown that a powerful way of solving this problem passes through the…

Computational Physics · Physics 2026-03-03 Enrico Trizio , Peilin Kang , Michele Parrinello

Recent research on robot manipulation based on Behavior Cloning (BC) has made significant progress. By combining diffusion models with BC, diffusion policiy has been proposed, enabling robots to quickly learn manipulation tasks with high…

Robotics · Computer Science 2025-03-18 Qianhao Wang , Yinqian Sun , Enmeng Lu , Qian Zhang , Yi Zeng
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