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Schooling, an archetype of collective behavior, emerges from the interactions of fish responding to visual and other informative cues mediated by their aqueous environment. In this context, a fundamental and largely unexplored question…

流体动力学 · 物理学 2016-04-20 Mattia Gazzola , Andrew A. Tchieu , Dmitry Alexeev , Alexia de Brauer , Petros Koumoutsakos

Fish schooling is often modeled with self-propelled particles subject to phenomenological behavioral rules. Although fish are known to sense and exploit flow features, these models usually neglect hydrodynamics. Here, we propose a novel…

生物物理 · 物理学 2018-05-16 Audrey Filella , François Nadal , Clément Sire , Eva Kanso , Christophe Eloy

One of the most relevant tasks in an intelligent vehicle navigation system is the detection of obstacles. It is important that a visual perception system for navigation purposes identifies obstacles, and it is also important that this…

计算机视觉与模式识别 · 计算机科学 2020-09-29 Thiago Rateke , Aldo von Wangenheim

Stochastic differential equations (SDE) often exhibit large random transitions. This property, which we denote as pathwise stiffness, causes transient bursts of stiffness which limit the allowed step size for common fixed time step explicit…

数值分析 · 数学 2018-04-13 Christopher Rackauckas , Qing Nie

Animals form groups for many reasons but there are costs and benefit associated with group formation. One of the benefits is collective memory. In groups on the move, social interactions play a crucial role in the cohesion and the ability…

定量方法 · 定量生物学 2014-03-24 Giancarlo De Luca , Patrizio Mariani , Brian R. MacKenzie , Matteo Marsili

This paper proposes a mathematical model for replicating a simple dynamics in an aquarium with two components; bacteria and organic matter. The model is based on a system of partial differential equations (PDEs) with four components: the…

偏微分方程分析 · 数学 2024-01-23 Ken Furukawa , Hiroyuki Kitahata

Understanding the training dynamics of deep learning models is perhaps a necessary step toward demystifying the effectiveness of these models. In particular, how do data from different classes gradually become separable in their feature…

机器学习 · 计算机科学 2021-10-13 Jiayao Zhang , Hua Wang , Weijie J. Su

There are two major challenges for scaling up robot navigation around dynamic obstacles: the complex interaction dynamics of the obstacles can be hard to model analytically, and the complexity of planning and control grows exponentially in…

机器人学 · 计算机科学 2023-07-07 Hongzhan Yu , Chiaki Hirayama , Chenning Yu , Sylvia Herbert , Sicun Gao

In robotics motion is often described from an external perspective, i.e., we give information on the obstacle motion in a mathematical manner with respect to a specific (often inertial) reference frame. In the current work, we propose to…

机器人学 · 计算机科学 2022-10-27 Lukas Huber , Jean-Jacques Slotine , Aude Billard

Fish swimming style and schooling behaviour are two important aspects of underwater locomotion. How swimming style affects fish schooling is investigated by a representative problem setup consisting of two tethered NACA0012 hydrofoils…

In this paper, we obtain stability results for backward stochastic differential equations with jumps (BSDEs) in a very general framework. More specifically, we consider a convergent sequence of standard data, each associated to their own…

概率论 · 数学 2023-04-06 Antonis Papapantoleon , Dylan Possamaï , Alexandros Saplaouras

This article addresses the obstacle avoidance problem for setpoint stabilization and path-following tasks in complex dynamic 2D environments that go beyond conventional scenes with isolated convex obstacles. A combined motion planner and…

机器人学 · 计算机科学 2023-12-11 Albin Dahlin , Yiannis Karayiannidis

Fish schools are ubiquitous in marine life. Although flow interactions are thought to be beneficial for schooling, their exact effects on the speed, energetics, and stability of the group remain elusive. Recent experiments suggest that flow…

流体动力学 · 物理学 2021-08-04 Sina Heydari , Eva Kanso

A recently developed theory of stochastic swimming is used to study the notion of coherence in active systems that couple via hydrodynamic interactions. It is shown that correlations between various modes of deformation in stochastic…

生物物理 · 物理学 2015-05-19 Ali Najafi , Ramin Golestanian

The remarkable cohesion and coordination observed in moving animal groups and their collective responsiveness to threats are thought to be mediated by scale-free correlations, where changes in the behavior of one animal influence others in…

生物物理 · 物理学 2025-06-05 Haotian Hang , Chenchen Huang , Alex Barnett , Eva Kanso

We study the problem of model predictive control (MPC) for the fish schooling model proposed by Gautrais et al. (Annales Zoologici Fennici, 2008). The high nonlinearity of the model attributed to its attraction/alignment/repulsion law…

系统与控制 · 电气工程与系统科学 2023-03-07 Masaki Ogura , Naoki Wakamiya

We present two approaches to system identification, i.e. the identification of partial differential equations (PDEs) from measurement data. The first is a regression-based Variational System Identification procedure that is advantageous in…

计算物理 · 物理学 2024-03-28 Zhenlin Wang , Bowei Wu , Krishna Garikipati , Xun Huan

Early-exiting neural networks enable adaptive inference by allowing inputs to exit at intermediate classifiers, reducing computation for easy samples while maintaining high accuracy. In practice, exits can be trained sequentially by…

机器学习 · 计算机科学 2026-05-08 Alaa Zniber , Ouassim Karrakchou , Mounir Ghogho

Collective motion is one of the most ubiquitous behaviours displayed by social organisms and has led to the development of numerous models. Recent advances in the understanding of sensory system and information processing by animals impel…

生物物理 · 物理学 2016-01-28 Bertrand Collignon , Axel Séguret , José Halloy

Predictive dynamical models for marine ecosystems are used for a variety of needs. Due to sparse measurements and limited understanding of the myriad of ocean processes, there is however significant uncertainty. There is model uncertainty…

计算工程、金融与科学 · 计算机科学 2023-06-06 Abhinav Gupta , Pierre F. J. Lermusiaux