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相关论文: L\'evy walks derived from a Bayesian decision-maki…

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The L\'evy walk is a non-Brownian random walk model that has been found to describe anomalous dynamic phenomena in diverse fields ranging from biology over quantum physics to ecology. Recurrently occurring problems are to examine whether…

生物物理 · 物理学 2021-07-13 Seongyu Park , Samudrajit Thapa , Yeongjin Kim , Michael A. Lomholt , Jae-Hyung Jeon

L\'evy flights represent the best strategy to randomly search for a target in an unknown environment, and have been widely observed in many animal species. Here, we inspect and discuss recent results concerning human behavior and cognition.…

物理与社会 · 物理学 2013-09-19 Andrea Baronchelli , Filippo Radicchi

The Levy walk in which the frequency of occurrence of step lengths follows a power-law distribution, can be observed in the migratory behavior of organisms at various levels. Levy walks with power exponents close to 2 are observed, and the…

The L\'evy walk, a type of random walk characterized by linear step lengths that follow a power-law distribution, is observed in the migratory behaviors of various organisms, ranging from bacteria to humans. Notably, L\'evy walks with power…

We solve an adaptive search model where a random walker or L\'evy flight stochastically resets to previously visited sites on a $d$-dimensional lattice containing one trapping site. Due to reinforcement, a phase transition occurs when the…

统计力学 · 物理学 2017-10-11 Andrea Falcón-Cortés , Denis Boyer , Luca Giuggioli , Satya N. Majumdar

Random walk is a fundamental concept with applications ranging from quantum physics to econometrics. Remarkably, one specific model of random walks appears to be ubiquitous across many fields as a tool to analyze transport phenomena in…

统计力学 · 物理学 2015-06-12 V. Zaburdaev , S. Denisov , J. Klafter

L\'evy walks are continuous time random walks with spatio-temporal coupling of jump lengths and waiting times, often used to model superdiffusive spreading processes such as animals searching for food, tracer motion in weakly chaotic…

统计力学 · 物理学 2019-03-27 Bartłomiej Dybiec , Karol Capała , Aleksei Chechkin , Ralf Metzler

Levy walk is a fundamental model with applications ranging from quantum physics to paths of animal foraging. Taking animal foraging as an example, a natural idea that comes to one's mind is to introduce the multiple internal states for…

统计力学 · 物理学 2019-01-04 Pengbo Xu , Weihua Deng

The brain constantly turns large flows of sensory information into selective representations of the environment. It, therefore, needs to learn to process those sensory inputs that are most relevant for behaviour. It is not well understood…

神经元与认知 · 定量生物学 2023-01-10 Pouya Baniasadi

Many studies on animal and human movement patterns report the existence of scaling laws and power-law distributions. Whereas a number of random walk models have been proposed to explain observations, in many situations individuals actually…

无序系统与神经网络 · 物理学 2015-05-13 D. Boyer , O. Miramontes , H. Larralde

We investigate the movement patterns of three different Neotropical marsupials in an unfamiliar and risky environment. Animals are released in a matrix from which they try to reach a patch of forest. Their movements, performed on a small…

定量方法 · 定量生物学 2019-03-04 B. Ríos-Uzeda , E. Brigatti , M. V. Vieira

Scenarios requiring humans to choose from multiple seemingly optimal actions are commonplace, however standard imitation learning often fails to capture this behavior. Instead, an over-reliance on replicating expert actions induces…

机器人学 · 计算机科学 2022-11-08 Hanbit Oh , Hikaru Sasaki , Brendan Michael , Takamitsu Matsubara

We analyze a model of learning and belief formation in networks in which agents follow Bayes rule yet they do not recall their history of past observations and cannot reason about how other agents' beliefs are formed. They do so by making…

统计理论 · 数学 2016-11-29 M. Amin Rahimian , Ali Jadbabaie

We design a double-or-quits game to compare the speed of learning one's specific ability with the speed of rising confidence as the task gets increasingly difficult. We find that people on average learn to be overconfident faster than they…

其他统计学 · 统计学 2017-07-11 Louis Lévy-Garboua , Muniza Askari , Marco Gazel

While microscopic organisms can use gradient-based search to locate resources, this strategy can be poorly suited to the sensory signals available to macroscopic organisms. We propose a framework that models search-decision making in cases…

种群与进化 · 定量生物学 2015-06-04 Andrew M. Hein , Scott A. McKinley

Although exploratory behaviors are ubiquitous in the animal kingdom, their computational underpinnings are still largely unknown. Behavioral Psychology has identified learning as a primary drive underlying many exploratory behaviors.…

机器学习 · 计算机科学 2011-12-14 Daniel Y. Little , Friedrich T. Sommer

We present a model for a random walk with memory, phenomenologically inspired in a biological system. The walker has the capacity to remember the time of the last visit to each site and the step taken from there. This memory affects the…

适应与自组织系统 · 物理学 2015-01-15 Laila D. Kazimierski , Guillermo Abramson , Marcelo N. Kuperman

Strategies for sustaining cooperation and preventing exploitation by selfish agents in repeated games have mostly been restricted to Markovian strategies where the response of an agent depends on the actions in the previous round. Such…

种群与进化 · 定量生物学 2023-10-30 Arunava Patra , Supratim Sengupta , Ayan Paul , Sagar Chakraborty

Random walks on lattices with preferential relocation to previously visited sites provide a simple framework for modeling the displacements of animals and humans. When the lattice contains a few impurities or resource sites where the walker…

统计力学 · 物理学 2025-11-05 Paulina R. Martín-Cornejo , Denis Boyer

Humans demonstrate a variety of interesting behavioral characteristics when performing tasks, such as selecting between seemingly equivalent optimal actions, performing recovery actions when deviating from the optimal trajectory, or…

机器人学 · 计算机科学 2022-11-08 Hanbit Oh , Hikaru Sasaki , Brendan Michael , Takamitsu Matsubara
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