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We propose MFT -- Multi-Flow dense Tracker -- a novel method for dense, pixel-level, long-term tracking. The approach exploits optical flows estimated not only between consecutive frames, but also for pairs of frames at logarithmically…

Computer Vision and Pattern Recognition · Computer Science 2023-11-13 Michal Neoral , Jonáš Šerých , Jiří Matas

The method of Q-cumulants is a powerful tool to study the fine details of azimuthal anisotropies in high energy nuclear collisions. This paper presents a new method, based on mathematical induction, to evaluate the analytical form of the…

High Energy Physics - Phenomenology · Physics 2023-08-31 L. Nadderd , J. Milosevic , D. Devetak , F. Wang

In parallel with advances in microscale imaging techniques, the fields of biology and materials science have focused on precisely extracting particle properties based on their diffusion behavior. Although the majority of real-world…

Mesoscale and Nanoscale Physics · Physics 2024-05-22 Kaito Takanami , Daisuke Taniguchi , Sawako Enoki , Masafumi Kuroda , Yasushi Okada , Yoshiyuki Kabashima

Bifurcation phenomena in nonlinear dynamical systems often lead to multiple coexisting stable solutions, particularly in the presence of symmetry breaking. Deterministic machine learning models are unable to capture this multiplicity,…

Machine Learning · Computer Science 2026-01-26 Fleur Hendriks , Ondřej Rokoš , Martin Doškář , Marc G. D. Geers , Vlado Menkovski

Tracking multiple particles in noisy and cluttered scenes remains challenging due to a combinatorial explosion of trajectory hypotheses, which scales super-exponentially with the number of particles and frames. The transformer architecture…

Machine Learning · Statistics 2025-06-12 Piyush Mishra , Philippe Roudot

Probabilistic sensitivity analysis identifies the influential uncertain input to guide decision-making. We propose a general sensitivity framework with respect to the input distribution parameters that unifies a wide range of sensitivity…

Methodology · Statistics 2023-02-10 Jiannan Yang

Learning causal relationships between variables is a well-studied problem in statistics, with many important applications in science. However, modeling real-world systems remain challenging, as most existing algorithms assume that the…

Multi-particle azimuthal cumulants are measured as a function of centrality and transverse momentum using 470 $\mu$b$^{-1}$ of Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV with the ATLAS detector at the LHC. These cumulants provide…

Nuclear Experiment · Physics 2020-04-10 ATLAS Collaboration

This study explores the concept of high-density anomalies. As opposed to the traditional concept of anomalies as isolated occurrences, high-density anomalies are deviant cases positioned in the most normal regions of the data space. Such…

Machine Learning · Computer Science 2021-04-06 Ralph Foorthuis

Long-range correlations for pairs of charged particles with two-particle angular correlations are studied in $pp$ at ${\sqrt{{\textit s}}}=13$~TeV with various Monte Carlo generators. The correlation functions are constructed as functions…

High Energy Physics - Phenomenology · Physics 2023-03-13 SuJeong Ji , Maxim Virta , Teemu Kallio , SangHoon Lim , Dong Jo Kim

It is hard to densely track a nonrigid object in long term, which is a fundamental research issue in the computer vision community. This task often relies on estimating pairwise correspondences between images over time where the error is…

Computer Vision and Pattern Recognition · Computer Science 2016-03-08 Wenbin Li , Darren Cosker , Matthew Brown

Causal models capture cause-effect relations both qualitatively - via the graphical causal structure - and quantitatively - via the model parameters. They offer a powerful framework for analyzing and constructing processes. Here, we…

Quantum Physics · Physics 2025-12-02 Ämin Baumeler , Stefan Wolf

A system of equations for anisotropic hydrodynamics is derived that describes a mixture of anisotropic quark and gluon fluids. The consistent treatment of the zeroth, first and second moments of the kinetic equations allows us to construct…

Nuclear Theory · Physics 2015-12-02 Wojciech Florkowski , Ewa Maksymiuk , Radoslaw Ryblewski , Leonardo Tinti

Recent experimental results have revealed a surprisingly rich structure of multiparticle azimuthal correlations in high energy proton-nucleus collisions. Final state collective effects can be responsible for many of the observed effects,…

High Energy Physics - Phenomenology · Physics 2015-05-20 T. Lappi

Machine failures decrease up-time and can lead to extra repair costs or even to human casualties and environmental pollution. Recent condition monitoring techniques use artificial intelligence in an effort to avoid time-consuming manual…

Machine Learning · Computer Science 2020-01-14 Kilian Hendrickx , Wannes Meert , Yves Mollet , Johan Gyselinck , Bram Cornelis , Konstantinos Gryllias , Jesse Davis

Learning the dynamics of a process given sampled observations at several time points is an important but difficult task in many scientific applications. When no ground-truth trajectories are available, but one has only snapshots of data…

Machine Learning · Computer Science 2026-03-03 Oskar Kviman , Kirill Tamogashev , Nicola Branchini , Víctor Elvira , Jens Lagergren , Nikolay Malkin

We introduce a new generative modeling framework, \textbf{Flow Matching with Arbitrary Auxiliary Paths (AuxPath-FM)}, which generalizes conditional flow matching by incorporating an auxiliary variable drawn from an arbitrary distribution…

Machine Learning · Computer Science 2026-05-08 Xin Peng , Ang Gao

The simulation of complex nonlinear engineering systems such as compressible fluid flows may be targeted to make more efficient and accurate the approximation of a specific (scalar) quantity of interest of the system. Putting aside modeling…

Numerical Analysis · Mathematics 2018-11-14 Jan Van Langenhove , Didier Lucor , Frédéric Alauzet , Anca Belme

Large displacement optical flow is an integral part of many computer vision tasks. Variational optical flow techniques based on a coarse-to-fine scheme interpolate sparse matches and locally optimize an energy model conditioned on colour,…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Qiao Chen , Charalambos Poullis

Four classic criteria used to the classification of complex flows are discussed here. These criteria are useful to identify regions of the flow related to shear, elongation or rigid-body motion. These usual criteria, namely $Q$, $\Delta$,…