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A novel and powerful method is presented for the study of rare switching events in complex systems with multiscale energy landscapes. The method performs an umbrella sampling of the equilibrium distribution of the system in hyperplanes…

Condensed Matter · Physics 2007-05-23 Weinan E , Weiqing Ren , Eric Vanden-Eijnden

Granular materials are heterogenous grains in contact, which are ubiquitous in many scientific and engineering applications such as chemical engineering, fluid mechanics, geomechanics, pharmaceutics, and so on. Granular materials pose a…

Computational Physics · Physics 2019-11-21 Haolei Wang , Lei Zhang

Granular solid hydrodynamics (GSH) is a continuum-mechanical theory for granular media, the range of which is shown in this paper. Simple, frequently analytic solutions are related to classic observations at different shear rates,…

Soft Condensed Matter · Physics 2017-01-25 Yimin Jiang , Mario Liu

Micro-scale mechanisms, such as inter-particle and particle-fluid interactions, govern the behaviour of granular systems. While particle-scale simulations provide detailed insights into these interactions, their computational cost is often…

Granular materials (GMs) are ubiquitous in daily life. Understanding their properties is also important, especially in agriculture and industry. However, existing works require dedicated measurement equipment and also need large human…

Computer Vision and Pattern Recognition · Computer Science 2024-12-04 Zeqing Zhang , Guangze Zheng , Xuebo Ji , Guanqi Chen , Ruixing Jia , Wentao Chen , Guanhua Chen , Liangjun Zhang , Jia Pan

Most of the existing clustering methods are based on a single granularity of information, such as the distance and density of each data. This most fine-grained based approach is usually inefficient and susceptible to noise. Therefore, we…

Machine Learning · Computer Science 2023-03-30 Jiang Xie , Shuyin Xia , Guoyin Wang , Xinbo Gao

We present a new and efficient method for computing the transition pathways, free energy barriers, and transition rates in complex systems with relatively smooth energy landscapes. The method proceeds by evolving strings, i.e. smooth curves…

Condensed Matter · Physics 2009-11-07 Weinan E , Weiqing Ren , Eric Vanden-Eijnden

The theoretical investigation of gas adsorption, storage, separation, diffusion and related transport processes in porous materials relies on a detailed knowledge of the potential energy surface of molecules in a stationary environment. In…

Chemical Physics · Physics 2025-01-30 Johannes K. Krondorfer , Christian W. Binder , Andreas W. Hauser

Despite the potential the ability to identify granular materials creates for applications such as robotic cooking or earthmoving, granular material identification remains a challenging area, existing methods mostly relying on shaking the…

Robotics · Computer Science 2025-11-05 Samuli Hynninen , Tran Nguyen Le , Ville Kyrki

Hidden Markov Models (HMMs) are one of the most fundamental and widely used statistical tools for modeling discrete time series. In general, learning HMMs from data is computationally hard (under cryptographic assumptions), and…

Machine Learning · Computer Science 2012-07-10 Daniel Hsu , Sham M. Kakade , Tong Zhang

Understanding the geometry of learned distributions is fundamental to improving and interpreting diffusion models, yet systematic tools for exploring their landscape remain limited. Standard latent-space interpolations fail to respect the…

Machine Learning · Statistics 2026-02-26 Elio Moreau , Florentin Coeurdoux , Grégoire Ferre , Eric Vanden-Eijnden

Granular materials are involved in most industrial and environmental processes, as well as many civil engineering applications. Although significant advances have been made in understanding the statics and dynamics of cohesionless grains…

Soft Condensed Matter · Physics 2025-11-21 Ram Sudhir Sharma , Alban Sauret

Granular materials of different sizes are present on the surface of several atmosphere-less Solar System bodies. The phenomena related to granular materials have been studied in the framework of the discipline called Granular Physics; that…

Earth and Planetary Astrophysics · Physics 2011-11-29 G. Tancredi , A. Maciel , L. Heredia , P. Richeri , S. Nesmachnow

Granular Solid Hydrodynamics (GSH) is a broad-ranged continual mechanical description of granular media capable of accounting for static stress distributions, yield phenomena, propagation and damping of elastic waves, the critical state,…

Soft Condensed Matter · Physics 2012-06-14 Yimin Jiang , Hepeng Zheng , Zheng Peng , Liping Fu , Shixiong Song , Qicheng Sun , Michael Mayer , Mario Liu

Searching for objects in indoor organized environments such as homes or offices is part of our everyday activities. When looking for a target object, we jointly reason about the rooms and containers the object is likely to be in; the same…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Andrey Kurenkov , Roberto Martín-Martín , Jeff Ichnowski , Ken Goldberg , Silvio Savarese

Introduction: molecular geometry, the three-dimensional arrangement of atoms within a molecule, is fundamental to understanding chemical reactivity, physical properties, and biological activity. The prevailing models used to describe…

General Physics · Physics 2026-05-12 Sebastian Ali Sacasa-Cespedes

Granular materials are complex multi-particle ensembles in which macroscopic properties are largely determined by inter-particle interactions between their numerous constituents. In order to understand and to predict their macroscopic…

Granular media surround us, comprising everything from the ground we walk on to the foods we eat. Owing to their ubiquity our ability to understand and predict the mechanical evolution of grains is not only of key scientific importance, but…

Graphics · Computer Science 2026-03-03 Zhecheng Wang , Breannan Smith , Abhishek Madan , Eitan Grinspun

Granular materials are of critical interest to many robotic tasks in planetary science, construction, and manufacturing. However, the dynamics of granular materials are complex and often computationally very expensive to simulate. We…

Robotics · Computer Science 2023-06-05 David Millard , Daniel Pastor , Joseph Bowkett , Paul Backes , Gaurav S. Sukhatme

An important challenge in robotics is understanding the interactions between robots and deformable terrains that consist of granular material. Granular flows and their interactions with rigid bodies still pose several open questions. A…

Machine Learning · Computer Science 2021-11-22 Amin Haeri , Krzysztof Skonieczny
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