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Cluster analysis, or clustering, plays a crucial role across numerous scientific and engineering domains. Despite the wealth of clustering methods proposed over the past decades, each method is typically designed for specific scenarios and…

Methodology · Statistics 2026-01-22 Siyi Wang , Alexandre Leblanc , Paul D. McNicholas

Dense particle suspensions are promising candidates for next-generation Concentrated Solar Power (CSP) receivers, enabling operating temperatures above 800 degrees C. However, accurate modeling of the rheological behavior of granular flows…

Fluid Dynamics · Physics 2025-07-01 Raphael Münster , Otto Mierka , Dmitri Kuzmin , Stefan Turek

In this article we examine recent developments in the research area concerning the creation of end-to-end models for the complete optimization of measuring instruments. The models we consider rely on differentiable programming methods and…

We introduce the ParClusterers Benchmark Suite (PCBS) -- a collection of highly scalable parallel graph clustering algorithms and benchmarking tools that streamline comparing different graph clustering algorithms and implementations. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-18 Shangdi Yu , Jessica Shi , Jamison Meindl , David Eisenstat , Xiaoen Ju , Sasan Tavakkol , Laxman Dhulipala , Jakub Łącki , Vahab Mirrokni , Julian Shun

A theoretical framework is developped leading to a sound derivation of Periodic Boundary Conditions (PBCs) for the analysis of domains smaller then the Unit Cells (UCs), named reduced Unit Cells (rUCs), by exploiting non-orthogonal…

Mathematical Physics · Physics 2011-03-10 N. V. De Carvalho , S. T. Pinho , P. Robinson

Note: The final version of this article was published in Computers and Geosciences, Volume 206, January 2026, 106038. DOI: 10.1016/j.cageo.2025.106038. Readers should refer to the published version for the most up-to-date content.…

Calculations of transition intensities for small molecules like H$_2$O, CO, CO$_2$ based on s high-quality potential energy surface (PES) and dipole moment surface (DMS) can nowadays reach sub-percent accuracy. An extension of this…

We combine conditional state density construction with an extension of the Scenario Approach for stochastic Model Predictive Control to nonlinear systems to yield a novel particle-based formulation of stochastic nonlinear output-feedback…

Optimization and Control · Mathematics 2020-05-01 Martin A. Sehr , Robert R. Bitmead

Particle-in-cell with Monte Carlo collisions (PIC/MCC) is a fully kinetic, particle based numerical simulation method with increasing popularity in the field of low temperature gas discharge physics. Already in its simplest form…

Plasma Physics · Physics 2022-06-15 Mate Vass , Peter Palla , Peter Hartmann

We present a novel method for generating sequential parameter estimates and quantifying epistemic uncertainty in dynamical systems within a data-consistent (DC) framework. The DC framework differs from traditional Bayesian approaches due to…

Methodology · Statistics 2024-05-15 Carlos del-Castillo-Negrete , Rylan Spence , Troy Butler , Clint Dawson

We present a novel data-driven model predictive control (MPC) approach to control unknown nonlinear systems using only measured input-output data with closed-loop stability guarantees. Our scheme relies on the data-driven system…

Optimization and Control · Mathematics 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

This work uses high-order discontinuous Galerkin discretization techniques as a generic, parameter-free, and reliable tool to accurately predict transitional and turbulent flows through medical devices. Flows through medical devices are…

Fluid Dynamics · Physics 2018-11-19 Niklas Fehn , Wolfgang A. Wall , Martin Kronbichler

We propose a continuous-time formulation of persistent contrastive divergence (PCD) for maximum likelihood estimation (MLE) of unnormalised densities. Our approach expresses PCD as a coupled, multiscale system of stochastic differential…

Machine Learning · Statistics 2025-10-03 Paul Felix Valsecchi Oliva , O. Deniz Akyildiz , Andrew Duncan

Density matrix embedding theory (DMET) provides a theoretical framework to treat finite fragments in the presence of a surrounding molecular or bulk environment, even when there is significant correlation or entanglement between the two. In…

Chemical Physics · Physics 2016-11-29 Sebastian Wouters , Carlos A. Jiménez-Hoyos , Qiming Sun , Garnet Kin-Lic Chan

Many real objects are modeled as discrete sets of points, such as corners or other salient features. For our main applications in chemistry, points represent atomic centers in a molecule or a solid material. We study the problem of…

Computational Geometry · Computer Science 2026-01-01 Daniel Widdowson , Vitaliy Kurlin

Big data benchmark suites must include a diversity of data and workloads to be useful in fairly evaluating big data systems and architectures. However, using truly comprehensive benchmarks poses great challenges for the architecture…

Performance · Computer Science 2016-11-15 Zhen Jia , Jianfeng Zhan , Lei Wang , Rui Han , Sally A. McKee , Qiang Yang , Chunjie Luo , Jingwei Li

This work deals with the characterisation and modelling of the curing process and its associated volume changes of an epoxy based thermoset resin. Measurements from differential scanning calorimetry (DSC) define the progress of the chemical…

Materials Science · Physics 2014-04-02 Martin Rudolph , Martin Stockmann , Ralf Landgraf , Jörn Ihlemann

Dynamic benchmarks interweave model fitting and data collection in an attempt to mitigate the limitations of static benchmarks. In contrast to an extensive theoretical and empirical study of the static setting, the dynamic counterpart lags…

Machine Learning · Computer Science 2023-03-03 Ali Shirali , Rediet Abebe , Moritz Hardt

We develop a preconditioner for the linear system arising from a finite element discretization of the Phase Field Crystal (PFC) equation. The PFC model serves as an atomic description of crystalline materials on diffusive time scales and…

Computational Physics · Physics 2015-08-27 Simon Praetorius , Axel Voigt

Diffusion models have gained prominence as state-of-the-art techniques for synthesizing images and videos, particularly due to their ability to scale effectively with large datasets. Recent studies have uncovered that these extensive…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Dat Nguyen Cong , Hieu Tran Bao , Hoang Thanh-Tung