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Optimal random foraging strategy has gained increasing concentrations. It is shown that L\'evy flight is more efficient compared with the Brownian motion when the targets are sparse. However, standard L\'evy flight generally cannot be…

统计力学 · 物理学 2018-06-05 Yuquan Chen , Derek Hollenbeck , Yong Wang , YangQuan Chen

Knuth [12, Page 417] states that "the (program of the) Fibonaccian search technique looks very mysterious at first glance" and that "it seems to work by magic". In this work, we show that there is even more magic in Fibonaccian (or else…

数据结构与算法 · 计算机科学 2010-12-02 Pavlos S. Efraimidis

The global optimization have the very extensive applications in econometrics, science and engineering. However, the global optimization for non-convex objective functions is particularly difficult since most of the existing global…

最优化与控制 · 数学 2015-07-17 Da-Zheng Feng , Han-Zhe Feng , Hai-Qin Zhang

Since more and more algorithms are proposed for multi-agent path finding (MAPF) and each of them has its strengths, choosing the correct one for a specific scenario that fulfills some specified requirements is an important task. Previous…

多智能体系统 · 计算机科学 2024-04-05 Weizhe Chen , Zhihan Wang , Jiaoyang Li , Sven Koenig , Bistra Dilkina

In this research, we investigate the possibility of applying a search strategy to genetic algorithms to explore the entire genetic tree structure. Several methods aid in performing tree searches; however, simpler algorithms such as…

神经与进化计算 · 计算机科学 2023-08-10 Akshay Hebbar

Two very fast and simple O(lg n) algorithms for individual Fibonacci numbers are given and compared to competing algorithms. A simple O(lg n) recursion is derived that can also be applied to Lucas. A formula is given to estimate the largest…

离散数学 · 计算机科学 2010-11-02 L. F. Johnson

In this paper we present a metaheuristic for global optimization called General Algorithmic Search (GAS). Specifically, GAS is a stochastic, single-objective method that evolves a swarm of agents in search of a global extremum. Numerical…

最优化与控制 · 数学 2017-05-25 Sergio Hernández , Guillem Duran , José M. Amigó

Artificial fish swarm algorithm (AFSA) is one of the swarm intelligence optimization algorithms that works based on population and stochastic search. In order to achieve acceptable result, there are many parameters needs to be adjusted in…

人工智能 · 计算机科学 2014-06-04 Reza Azizi

We analyze parallel algorithms in the context of exhaustive search over totally ordered sets. Imagine an infinite list of "boxes", with a "treasure" hidden in one of them, where the boxes' order reflects the importance of finding the…

分布式、并行与集群计算 · 计算机科学 2015-11-03 Pierre Fraigniaud , Amos Korman , Yoav Rodeh

We present a series of results regarding conceptually simple algorithms for bipartite matching in various online and related models. We first consider a deterministic adversarial model. The best approximation ratio possible for a one-pass…

数据结构与算法 · 计算机科学 2017-07-03 Allan Borodin , Denis Pankratov , Amirali Salehi-Abari

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…

最优化与控制 · 数学 2016-11-18 Omid Namvar Gharehshiran , Vikram Krishnamurthy , George Yin

We revisit the problem of rational search: given an unknown rational number $\alpha = \frac{a}{b} \in (0,1)$ with $b \leq n$, the goal is to identify $\alpha$ using comparison queries of the form ``$\beta \leq \alpha$?''. The problem has…

数据结构与算法 · 计算机科学 2025-12-23 Connor Weyers , N. V. Vinodchandran

We study the problem of corralling stochastic bandit algorithms, that is combining multiple bandit algorithms designed for a stochastic environment, with the goal of devising a corralling algorithm that performs almost as well as the best…

机器学习 · 计算机科学 2021-03-02 Raman Arora , Teodor V. Marinov , Mehryar Mohri

It is essential that all algorithms are exhaustively, somewhat, and intelligently evaluated. Nonetheless, evaluating the effectiveness of optimization algorithms equitably and fairly is not an easy process for various reasons. Choosing and…

One of the main limitations of utilizing optimal wavefront shaping in imaging and authentication applications is the slow speed of the optimization algorithms currently being used. To address this problem we develop a micro-genetic…

光学 · 物理学 2015-03-03 Benjamin R. Anderson , Patrick Price , Ray Gunawidjaja , Hergen Eilers

Modern natural language generation paradigms require a good decoding strategy to obtain quality sequences out of the model. Beam search yields high-quality but low diversity outputs; stochastic approaches suffer from high variance and…

计算与语言 · 计算机科学 2022-11-23 Jiacheng Xu , Caiming Xiong , Silvio Savarese , Yingbo Zhou

The backpropagation algorithm, despite its widespread use in neural network learning, may not accurately emulate the human cortex's learning process. Alternative strategies, such as the Forward-Forward Algorithm (FFA), offer a closer match…

神经与进化计算 · 计算机科学 2023-05-23 Desmond Y. M. Tang

We introduce the \emph{frugal foraging} model in which a forager performs a discrete-time random walk on a lattice, where each site initially contains $\mathcal{S}$ food units. The forager metabolizes one unit of food at each step and…

物理与社会 · 物理学 2018-02-13 O. Benichou , U. Bhat , P. L. Krapivsky , S. Redner

Algorithms with (machine-learned) predictions is a powerful framework for combining traditional worst-case algorithms with modern machine learning. However, the vast majority of work in this space assumes that the prediction itself is…

Casting machine learning as a type of search, we demonstrate that the proportion of problems that are favorable for a fixed algorithm is strictly bounded, such that no single algorithm can perform well over a large fraction of them. Our…

机器学习 · 统计学 2017-04-20 George D. Montanez