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Several external sources may change the river's geomorphology, hydrodynamic characteristics, and water quality. Therefore, having a comprehensive assessment of the rivers' hydrodynamic would bring the preliminary information to reduce the…

Atmospheric and Oceanic Physics · Physics 2021-07-29 Mohamad Sarajzadeh , Ehsan Tavakol bekhoda

We present a framework for simulating signal propagation in geometric networks (i.e. networks that can be mapped to geometric graphs in some space) and for developing algorithms that estimate (i.e. map) the state and functional topology of…

Disordered Systems and Neural Networks · Physics 2010-06-23 Marius Buibas , Gabriel A. Silva

An important problem in terrain analysis is modeling how water flows across a terrain creating floods by forming channels and filling depressions. In this paper we study a number of \emph{flow-query} related problems: Given a terrain…

Computational Geometry · Computer Science 2020-09-18 Aaron Lowe , Svend C. Svendsen , Pankaj K. Agarwal , Lars Arge

A data-driven methodology is proposed to model the distribution of multivariate stochastic trajectories from an observed sample. As a first step, each trajectory in the sample is reduced to a vector of features by means of Functional…

Fluid Dynamics · Physics 2026-05-15 Romain Hascoët

The task of spatial-temporal action detection has attracted increasing attention among researchers. Existing dominant methods solve this problem by relying on short-term information and dense serial-wise detection on each individual frames…

Computer Vision and Pattern Recognition · Computer Science 2020-09-01 Yuxi Li , Weiyao Lin , Tao Wang , John See , Rui Qian , Ning Xu , Limin Wang , Shugong Xu

The fractional order generalization of Shannon entropy proposed by Ubriaco has been studied for discrete distributions. In the current paper, we conduct a detailed study of the continuous analogue of this entropy termed as fractional…

Statistics Theory · Mathematics 2025-07-04 Poulami Paul , Chancal Kundu

(abridged) We present a detailed analysis of the properties of tidally stripped material from disrupting substructure haloes or subhaloes in a sample of high resolution cosmological N-body host haloes ranging from galaxy- to cluster-mass…

Astrophysics · Physics 2009-11-13 Kristin Warnick , Alexander Knebe , Chris Power

We present a statistical model of a meandering river on an alluvial plane which is motivated by the physical non-linear dynamics of the river channel migration and by describing heterogeneity of the terrain by noise. We study the dynamics…

Condensed Matter · Physics 2009-10-28 T. B. Liverpool , S. F. Edwards

Probabilistic forecasting provides a principled framework for uncertainty quantification in dynamical systems by representing predictions as probability distributions rather than deterministic trajectories. However, existing forecasting…

Machine Learning · Statistics 2026-03-27 Tianlin Yang , Hailiang Du , Louis Aslett

The overall traffic of droplets in a network of microfluidic channels is strongly influenced by the liquid properties of the moving droplets. In particular, the effective hydrodynamic resistance of individual droplets plays a key role in…

Fluid Dynamics · Physics 2009-04-01 Vincent Labrot , Michael Schindler , Pierre Guillot , Annie Colin , Mathieu Joanicot

Recent advances have introduced diffusion models for probabilistic streamflow forecasting, demonstrating strong early flood-warning skill. However, current implementations rely on recurrent Long Short-Term Memory (LSTM) backbones and…

Machine Learning · Computer Science 2025-12-16 Yihan Wang , Annan Yu , Lujun Zhang , Charuleka Varadharajan , N. Benjamin Erichson

We analyze the Optimal Channel Network model for river networks using both analytical and numerical approaches. This is a lattice model in which a functional describing the dissipated energy is introduced and minimized in order to find the…

Statistical Mechanics · Physics 2009-10-28 F. Colaiori , A. Flammini , A. Maritan , J. R. Banavar

While diffusion models can successfully generate data and make predictions, they are predominantly designed for static images. We propose an approach for efficiently training diffusion models for probabilistic spatiotemporal forecasting,…

Machine Learning · Computer Science 2023-10-12 Salva Rühling Cachay , Bo Zhao , Hailey Joren , Rose Yu

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

Classical Physics · Physics 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

In this paper, we study a simple hydrodynamical model showing abrupt flow reversals at random times. For a suitable range of parameters, we show that the dynamics of flow reversal is accurately described by stochastic differential…

Chaotic Dynamics · Physics 2009-11-10 Roberto Benzi

Accurate analysis and forecasting of tidal level are very important tasks for human activities in oceanic and coastal areas. They can be crucial in catastrophic situations like occurrences of Tsunamis in order to provide a rapid alerting to…

Computational Engineering, Finance, and Science · Computer Science 2014-03-04 Sergio Consoli , Diego Reforgiato Recupero , Vanni Zavarella

Aims To propose and analyze a general, dynamic, process-oriented theory of the area of distribution. Methods The area of distribution is modelled by combining (by multiplication) three matrices: one matrix represents movements, another…

Populations and Evolution · Quantitative Biology 2022-12-14 Jorge Soberón , Luis Osorio-Olvera

Flow networks are fundamental for understanding systems such as animal and plant vasculature or power distribution grids. These networks can encode, transmit, and transform information embodied in the spatial and temporal distribution of…

We investigate the collective dynamics of self-propelled droplets, confined in a one dimensional micro-fluidic channel. On one hand, neighboring droplets align and form large trains of droplets moving in the same direction. On the other…

Soft Condensed Matter · Physics 2020-05-14 Pierre Illien , Charlotte de Blois , Yang Liu , Marjolein N. van der Linden , Olivier Dauchot

We present a statistical model for the unconditional mean tracks of hurricanes. Our model is a semi-parametric scheme that averages together observed hurricane displacements. It has a single parameter that defines the averaging length…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Tim Hall , Stephen Jewson