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Finding efficient algorithms to explore large networks with the aim of recovering information about their structure is an open problem. Here, we investigate this challenge by proposing a model in which random walkers with previously…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 Luce Prignano , Yamir Moreno , Albert Diaz-Guilera

We introduce a formalism based on a continuous time approximation, to study the characteristics of Page Rank random walks. We find that the diffusion of the occupancy probability has a dynamics that exponentially "forgets" the initial…

Statistical Mechanics · Physics 2020-07-17 Emilio Aced Fuentes , Simone Santini

Finding food is a fundamental activity for survival of all living organisms. Free-ranging dogs have been known to use their olfaction to assess the quality and type of available food but their use of visual ability in foraging is not…

We extend our study of the swarm-based gradient descent method for non-convex optimization, [Lu, Tadmor & Zenginoglu, arXiv:2211.17157], to allow random descent directions. We recall that the swarm-based approach consists of a swarm of…

Optimization and Control · Mathematics 2024-02-20 Eitan Tadmor , Anil Zenginoglu

Sparse neural networks have shown similar or better generalization performance than their dense counterparts while having higher parameter efficiency. This has motivated a number of works to learn or search for high performing sparse…

Machine Learning · Computer Science 2024-03-15 Rezsa Farahani

Sampling-based search, a simple paradigm for utilizing test-time compute, involves generating multiple candidate responses and selecting the best one -- typically by having models self-verify each response for correctness. In this paper, we…

Machine Learning · Computer Science 2025-02-21 Eric Zhao , Pranjal Awasthi , Sreenivas Gollapudi

Finding objects is essential for almost any daily-life visual task. Saliency models have been useful to predict fixation locations in natural images, but are static, i.e., they provide no information about the time-sequence of fixations.…

Artificial Intelligence · Computer Science 2020-12-09 M. Sclar , G. Bujia , S. Vita , G. Solovey , J. E. Kamienkowski

Explicit information seeking is essential to human problem-solving in practical environments characterized by incomplete information and noisy dynamics. When the true environmental state is not directly observable, humans seek information…

Artificial Intelligence · Computer Science 2025-10-03 Djengo Cyun-Jyun Fang , Tsung-Wei Ke

Random walks constitute a fundamental mechanism for many dynamics taking place on complex networks. Besides, as a more realistic description of our society, multiplex networks have been receiving a growing interest, as well as the dynamical…

Physics and Society · Physics 2016-05-25 Quantong Guo , Emanuele Cozzo , Zhiming Zheng , Yamir Moreno

Learning and decision-making in domains with naturally high noise-to-signal ratio, such as Finance or Healthcare, is often challenging, while the stakes are very high. In this paper, we study the problem of learning and acting under a…

Machine Learning · Computer Science 2023-09-26 Yikai Zhang , Songzhu Zheng , Mina Dalirrooyfard , Pengxiang Wu , Anderson Schneider , Anant Raj , Yuriy Nevmyvaka , Chao Chen

Many approaches for optimizing decision making models rely on gradient based methods requiring informative feedback from the environment. However, in the case where such feedback is sparse or uninformative, such approaches may result in…

Machine Learning · Computer Science 2024-11-12 Mohit Rajpal , Lac Gia Tran , Yehong Zhang , Bryan Kian Hsiang Low

An efficient policy search algorithm should estimate the local gradient of the objective function, with respect to the policy parameters, from as few trials as possible. Whereas most policy search methods estimate this gradient by observing…

Artificial Intelligence · Computer Science 2012-06-18 Gregory Lawrence , Stuart Russell

When studying unconstrained behaviour and allowing mice to leave their cage to navigate a complex labyrinth, the mice exhibit foraging behaviour in the labyrinth searching for rewards, returning to their home cage now and then, e.g. to…

Machine Learning · Computer Science 2022-08-24 Daria de Tinguy , Pietro Mazzaglia , Tim Verbelen , Bart Dhoedt

An important aspect of Bayesian model selection is how to deal with huge model spaces, since exhaustive enumeration of all the models entertained is unfeasible and inferences have to be based on the very small proportion of models visited.…

Methodology · Statistics 2011-01-25 Gonzalo Garcia-Donato , Miguel Angel Martinez-Beneito

We present a novel LLM-informed model-based planning framework, and a novel prompt selection method, for object search in partially-known environments. Our approach uses an LLM to estimate statistics about the likelihood of finding the…

Robotics · Computer Science 2026-03-26 Abhishek Paudel , Abhish Khanal , Raihan I. Arnob , Shahriar Hossain , Gregory J. Stein

Self-avoiding random walks were performed on protein residue networks. Compared with protein residue networks with randomized links, the probability of a walk being successful is lower and the length of successful walks shorter in…

Molecular Networks · Quantitative Biology 2013-06-11 Susan Khor

Levy flights are known to be optimal search strategies in the particular case of revisitable targets. In the relevant situation of non revisitable targets, we propose an alternative model of bidimensional search processes, which explicitly…

Statistical Mechanics · Physics 2009-11-11 O. Benichou , C. Loverdo , M. Moreau , R. Voituriez

These notes from a graduate class at the Unuversidad Autonoma de Madrid analyze a search behavior known as Area Resticted Search (ARS), widespread in the animal kingdom, and optimal when the resources that one is after are "patchy". In the…

Statistical Mechanics · Physics 2020-06-26 Simone Santini

Navigation up a sensory gradient is one of the simplest behaviours, and the simplest strategy is run and tumble. But some organisms use other strategies, such as reversing direction or turning by some angle. Here we ask what drives the…

This paper considers simulation-based optimization of the performance of a regime-switching stochastic system over a finite set of feasible configurations. Inspired by the stochastic fictitious play learning rules in game theory, we propose…

Optimization and Control · Mathematics 2016-11-18 Omid Namvar Gharehshiran , Vikram Krishnamurthy , George Yin