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Lagrangian properties obtained from a Particle Tracking Velocimetry experiment in a turbulent flow at intermediate Reynolds number are presented. Accurate sampling of particle trajectories is essential in order to obtain the Lagrangian…

Fluid Dynamics · Physics 2015-05-13 Jacob Berg , Soren Ott , Jakob Mann , Beat Luthi

Multi-target tracking (MTT) serves as a cornerstone technology in information fusion, yet faces significant challenges in robustness and efficiency when dealing with model uncertainties, clutter interference, and target interactions.…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Ming Lei , Shufan Wu

Smoothed particle hydrodynamics is a particle-based, fully Lagrangian, method for fluid-flow simulations. In this work, fundamental concepts of the method are first briefly recalled. Then, we present a thorough comparison of three different…

Fluid Dynamics · Physics 2012-08-22 Kamil Szewc , Jacek Pozorski , Jean-Pierre Minier

We propose a method for optimal Bayesian filtering with deterministic particles. In order to avoid particle degeneration, the filter step is not performed at once. Instead, the particles progressively flow from prior to posterior. This is…

Machine Learning · Statistics 2023-03-07 Uwe D. Hanebeck

In Change point detection task Likelihood Ratio Test (LRT) is sequentially applied in a sliding window procedure. Its high values indicate changes of parametric distribution in the data sequence. Correspondingly LRT values require…

Statistics Theory · Mathematics 2017-10-23 Nazar Buzun , Valeriy Avanesov

The turbulent diffusion of Lagrangian tracer particles has been studied in a flow on the surface of a large tank of water and in computer simulations. The effect of flow compressibility is captured in images of particle fields. The velocity…

Chaotic Dynamics · Physics 2009-11-10 John R. Cressman , Walter I. Goldburg , Joerg Schumacher

We examine optimal matchings or transport between two stationary random measures. It covers allocation from the Lebesgue measure to a point process and matching a point process to a regular (shifted) lattice. The main focus of the article…

Probability · Mathematics 2026-01-21 Raphaël Lachièze-Rey , D. Yogeshwaran

A deterministic multi-scale dynamical system is introduced and discussed as prototype model for relative dispersion in stationary, homogeneous and isotropic turbulence. Unlike stochastic diffusion models, here trajectory transport and…

Fluid Dynamics · Physics 2017-04-19 Guglielmo Lacorata , Angelo Vulpiani

Single-molecule localization microscopy allows practitioners to locate and track labeled molecules in biological systems. When extracting diffusion coefficients from the resulting trajectories, it is common practice to perform a linear fit…

Biological Physics · Physics 2024-06-19 Jakob Tómas Bullerjahn , Gerhard Hummer

This paper introduces a new probabilistic model for online learning which dynamically incorporates information from stochastic gradients of an arbitrary loss function. Similar to probabilistic filtering, the model maintains a Gaussian…

Machine Learning · Statistics 2015-05-27 Pedro A. Ortega , Koby Crammer , Daniel D. Lee

Efficient particle sorting in microfluidic systems is vital for advancements in biomedical diagnostics and industrial applications. This study numerically investigates particle migration and passive sorting in symmetric serpentine…

Fluid Dynamics · Physics 2025-09-16 Sayan Karmakar , Anish Pal , Sourav Sarkar , Achintya Mukhopadhyay

A recently proposed method for computer simulations in the isothermal-isobaric (NPT) ensemble, based on Langevin-type equations of motion for the particle coordinates and the ``piston'' degree of freedom, is re-derived by straightforward…

Soft Condensed Matter · Physics 2016-08-31 A. Kolb , B. Duenweg

Particles are a widespread tool for obtaining information from fluid flows. When Eulerian data are unavailable, they may be employed to estimate flow fields or to identify coherent flow structures. Here we numerically examine the…

Fluid Dynamics · Physics 2023-06-22 O. Outrata , M. Pavelka , J. Hron , M. La Mantia , J. I. Polanco , G. Krstulovic

Novel experimental modalities acquire spatially resolved velocity measurements for steady state and transient flows which are of interest for engineering and biological applications. One of the drawbacks of such high resolution velocity…

Numerical Analysis · Mathematics 2015-12-31 H. Egger , T. Seitz , C. Tropea

We present a new particle tracking algorithm to accurately resolve large deformation and rotational motion fields, which takes advantage of both local and global particle tracking algorithms. We call this method the ScalE and Rotation…

The crucial step in designing a particle filter for a particular application is the choice of importance density. The optimal scheme is to use the conditional posterior density of the state, but this cannot be sampled or calculated…

Computation · Statistics 2014-08-15 Pete Bunch , Simon Godsill

The dynamics of inertial particles in fluid flows have been the focus of extensive research due to their relevance in a wide range of industrial and environmental processes. Earlier studies have examined the dynamics of aerosols and bubbles…

Fluid Dynamics · Physics 2024-09-05 P. Swaathi , Sanjit Das , N. Nirmal Thyagu

Detecting the transition from laminar to turbulent flow in particulate pipe systems remains a complex issue in fluid dynamics, often requiring sophisticated and costly experimental apparatus. This research presents an innovative streak…

Fluid Dynamics · Physics 2025-01-06 Rishav Raj , Abhiram Thiruthummal , Alban Potherat

We explore the possibility of evaluating flow harmonics by employing the maximum likelihood estimator (MLE). For a given finite multiplicity, the MLE simultaneously furnishes estimations for all the parameters of the underlying distribution…

High Energy Physics - Phenomenology · Physics 2023-08-16 Chong Ye , Wei-Liang Qian , Rui-Hong Yue , Yogiro Hama , Takeshi Kodama

We introduce a probabilistic approach to the LMS filter. By means of an efficient approximation, this approach provides an adaptable step-size LMS algorithm together with a measure of uncertainty about the estimation. In addition, the…

Machine Learning · Statistics 2016-04-11 Jesus Fernandez-Bes , Víctor Elvira , Steven Van Vaerenbergh
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