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Living microorganisms are capable of a tactic response to external stimuli by swimming towards or away from the stimulus source; they do so by adapting their tactic signal transduction pathways to the environment. Their self-motility thus…

软凝聚态物质 · 物理学 2016-10-12 Alexander Geiseler , Peter Hänggi , Fabio Marchesoni , Colm Mulhern , Sergey Savel'ev

We present a novel approach for semantically targeted adversarial attacks on Optical Flow. In such attacks the goal is to corrupt the flow predictions of a specific object category or instance. Usually, an attacker seeks to hide the…

计算机视觉与模式识别 · 计算机科学 2021-11-17 Tom Koren , Lior Talker , Michael Dinerstein , Roy J Jevnisek

We investigate simple strategies that embody the decisions that one faces when trying to park near a popular destination. Should one park far from the target (destination), where finding a spot is easy, but then be faced with a long walk,…

物理与社会 · 物理学 2020-02-25 P. L. Krapivsky , S. Redner

We investigate a family of approximate multi-step proximal point methods, framed as implicit linear discretizations of gradient flow. The resulting methods are multi-step proximal point methods, with similar computational cost in each…

最优化与控制 · 数学 2025-01-15 Yushen Huang , Yifan Sun

We give an $O(n^{1.5}\log n)$ time algorithm for finding the maximum flow in a directed planar graph with multiple sources and a single sink. The techniques generalize to a subquadratic time algorithm for bounded genus graphs.

离散数学 · 计算机科学 2010-09-03 Glencora Borradaile , Christian Wulff-Nilsen

Humans experience small fluctuations in their gait when walking on uneven terrain. The fluctuations deviate from the steady, energy-minimizing pattern for level walking, and have no obvious organization. But humans often look ahead when…

系统与控制 · 电气工程与系统科学 2022-11-28 Osman Darici , Arthur D. Kuo

How much work does it cost for a propelled particle to stay localised near a stationary target, defying both thermal noise and a constant flow that would carry it away? We study the control of such a particle in finite time and find optimal…

统计力学 · 物理学 2026-02-16 Till Welker , Patrick Pietzonka

Due to the importance of robustness in many real-world optimization problems, the field of robust optimization has gained a lot of attention over the past decade. We concentrate on maximum flow problems and introduce a novel robust…

离散数学 · 计算机科学 2016-01-15 Jannik Matuschke , S. Thomas McCormick , Gianpaolo Oriolo , Britta Peis , Martin Skutella

We study the energetic efficiency of navigating microswimmers by explicitly taking into account the geometry of their body. We show that, as their shape transitions from prolate to oblate, non-steering microswimmers rotated by flow…

软凝聚态物质 · 物理学 2024-03-18 Lorenzo Piro , Andrej Vilfan , Ramin Golestanian , Benoît Mahault

In this paper we study a mathematical model of one-dimensional swimmers performing a planar motion while fully immersed in a viscous fluid. The swimmers are assumed to be of small size, and all inertial effects are neglected. Hydrodynamic…

最优化与控制 · 数学 2014-04-25 Gianni Dal Maso , Antonio DeSimone , Marco Morandotti

While maximizing line-of-sight coverage of specific regions or agents in the environment is a well-explored path planning objective, the converse problem of minimizing exposure to the entire environment during navigation is especially…

机器人学 · 计算机科学 2024-06-24 Eugene T. Hamzezadeh , John G. Rogers , Neil T. Dantam , Andrew J. Petruska

We investigate the electrical current and flow (number of parallel paths) between two sets of n sources and n sinks in complex networks. We derive analytical formulas for the average current and flow as a function of n. We show that for…

离散数学 · 计算机科学 2008-11-17 Shai Carmi , Zhenhua Wu , Shlomo Havlin , H. Eugene Stanley

We show that the matching problem that underlies optical flow requires multiple strategies, depending on the amount of image motion and other factors. We then study the implications of this observation on training a deep neural network for…

计算机视觉与模式识别 · 计算机科学 2017-07-18 Tal Schuster , Lior Wolf , David Gadot

We give an O(n log^3 n) algorithm that, given an n-node directed planar graph with arc capacities, a set of source nodes, and a set of sink nodes, finds a maximum flow from the sources to the sinks. Previously, the fastest algorithms known…

离散数学 · 计算机科学 2011-05-12 Glencora Borradaile , Philip N. Klein , Shay Mozes , Yahav Nussbaum , Christian Wulff-Nilsen

We present an economics-based method for deciding the optimal rates at which vehicles are allowed to enter a highway. The method exploits the naturally occuring fluctuations of traffic flow and is flexible enough to adapt in real time to…

统计力学 · 物理学 2007-05-23 Bernardo A. Huberman , Dirk Helbing

In the semi-streaming model, an algorithm must process any $n$-vertex graph by making one or few passes over a stream of its edges, use $O(n \cdot \text{polylog }n)$ words of space, and at the end of the last pass, output a solution to the…

数据结构与算法 · 计算机科学 2025-10-23 Sepehr Assadi , Gary Hoppenworth , Janani Sundaresan

Swimmers caught in a rip current flowing away from the shore are advised to swim orthogonally to the current to escape it. We describe a mathematical principle in a similar spirit. More precisely, we consider flows $\gamma$ in the plane…

经典分析与常微分方程 · 数学 2016-05-10 Stefan Steinerberger

In this paper we focus on a two-link swimmer called scallop which moves changing dynamics between two fluids regimes. We address and solve explicitly two optimal control problems, the minimum time one and the minimum quadratic cost needed…

最优化与控制 · 数学 2019-03-05 Rosario Maggistro , Marta Zoppello

When searching for a target within an image our brain can adopt different strategies, but which one does it choose? This question can be answered by tracking the motion of the eye while it executes the task. Following many individuals…

神经元与认知 · 定量生物学 2017-09-04 Tatiana A. Amor , Mirko Lukovic , Hans J. Herrmann , Jose S. Andrade

"Ground effect" refers to the enhanced performance enjoyed by fliers or swimmers operating close to the ground. We derive a number of exact solutions for this phenomenon, thereby elucidating the underlying physical mechanisms involved in…

流体动力学 · 物理学 2020-03-25 Peter J. Baddoo , Melike Kurt , Lorna J. Ayton , Keith W. Moored