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We revisit the problem of searching for a target at an unknown location on a line when given upper and lower bounds on the distance D that separates the initial position of the searcher from the target. Prior to this work, only asymptotic…

Data Structures and Algorithms · Computer Science 2013-10-04 Prosenjit Bose , Jean-Lou De Carufel , Stephane Durocher

Learned index structures aim to accelerate queries by training machine learning models to approximate the rank function associated with a database attribute. While effective in practice, their theoretical limitations are not fully…

Data Structures and Algorithms · Computer Science 2026-01-13 Luis Alberto Croquevielle , Roman Sokolovskii , Thomas Heinis

Many natural processes rely on optimizing the success ratio of a search process. We use an experimental setup consisting of a simple online game in which players have to find a target hidden on a board, to investigate the how the rounds are…

Biological Physics · Physics 2017-05-19 Ricardo Martinez-Garcia , Justin M. Calabrese , Cristobal Lopez

A novel, non-trivial, probabilistic upper bound on the entropy of an unknown one-dimensional distribution, given the support of the distribution and a sample from that distribution, is presented. No knowledge beyond the support of the…

Information Theory · Computer Science 2007-07-13 Joseph DeStefano , Erik Learned-Miller

We consider the problem of succinctly encoding a static map to support approximate queries. We derive upper and lower bounds on the space requirements in terms of the error rate and the entropy of the distribution of values over keys: our…

Data Structures and Algorithms · Computer Science 2007-10-18 David Talbot , John Talbot

Contextual policy search allows adapting robotic movement primitives to different situations. For instance, a locomotion primitive might be adapted to different terrain inclinations or desired walking speeds. Such an adaptation is often…

Machine Learning · Statistics 2015-11-17 Jan Hendrik Metzen

We consider random search processes alternating stochastically between diffusion and ballistic motion, in which the distribution function of ballistic motion directions varies from point to point in space. The specific space dependence of…

Subcellular Processes · Quantitative Biology 2016-08-29 Karsten Schwarz , Yannick Schröder , Bin Qu , Markus Hoth , Heiko Rieger

The Estimation of Distribution Algorithm is a new class of population based search methods in that a probabilistic model of individuals is estimated based on the high quality individuals and used to generate the new individuals. In this…

Artificial Intelligence · Computer Science 2019-04-03 R. Rastegar , M. R. Meybodi

Anytime approximation algorithms that compute the probabilities of queries over probabilistic databases can be of great use to statistical learning tasks. Those approaches have been based so far on either (i) sampling or (ii)…

Databases · Computer Science 2018-07-04 Maarten Van den Heuvel , Floris Geerts , Wolfgang Gatterbauer , Martin Theobald

Finding hidden/lost targets in a broad region costs strenuous effort and takes a long time. From a practical view, it is convenient to analyze the available data to exclude some parts of the search region. This paper discusses the…

Optimization and Control · Mathematics 2023-10-24 M. Fakharany , Faten Alamri , Mohamed Abd Allah El-Hadidy

We present a new method to propagate lower bounds on conditional probability distributions in conventional Bayesian networks. Our method guarantees to provide outer approximations of the exact lower bounds. A key advantage is that we can…

Artificial Intelligence · Computer Science 2012-05-14 Daniel Andrade , Bernhard Sick

Search-base algorithms have widespread applications in different scenarios. Grover's quantum search algorithms and its generalization, amplitude amplification, provide a quadratic speedup over classical search algorithms for unstructured…

Quantum Physics · Physics 2020-09-21 Xiaoyu He , Jialin Zhang , Xiaoming Sun

We study the problem of searching for a hidden target in an environment that is modeled by an edge-weighted graph. A sequence of edges is chosen starting from a given root vertex such that each edge is adjacent to a previously chosen edge.…

Optimization and Control · Mathematics 2017-08-02 Spyros Angelopoulos , Christoph Dürr , Thomas Lidbetter

In this paper we use asymptotic analysis to determine the steady-state mean number of resources in each of $N$ small interior targets within a three-dimensional bounded domain. The accumulation of resources is based on multiple rounds of…

Statistical Mechanics · Physics 2020-10-26 Paul C. Bressloff

The convergence, convergence rate and expected hitting time play fundamental roles in the analysis of randomised search heuristics. This paper presents a unified Markov chain approach to studying them. Using the approach, the sufficient and…

Optimization and Control · Mathematics 2013-12-10 Jun He , Feidun He , Xin Yao

We establish empirical risk minimization principles for active learning by deriving a family of upper bounds on the generalization error. Aligning with empirical observations, the bounds suggest that superior query algorithms can be…

Machine Learning · Statistics 2024-09-17 Vincent Menden , Yahya Saleh , Armin Iske

We consider an abstraction of computational security in password protected systems where a user draws a secret string of given length with i.i.d. characters from a finite alphabet, and an adversary would like to identify the secret string…

Information Theory · Computer Science 2017-12-27 Arman Rezaee , Ahmad Beirami , Ali Makhdoumi , Muriel Medard , Ken Duffy

We determine the full distribution and moments of the first passage time for a wide class of stochastic search processes in the limit of frequent stochastic resetting. Our results apply to any system whose short-time behavior of the search…

Statistical Mechanics · Physics 2023-02-22 Samantha Linn , Sean D Lawley

Consider the situation where a word is chosen probabilistically from a finite list. If an attacker knows the list and can inquire about each word in turn, then selecting the word via the uniform distribution maximizes the attacker's…

Information Theory · Computer Science 2013-05-14 Mark M. Christiansen , Ken R. Duffy , Flavio du Pin Calmon , Muriel Medard

Consider a list of $n$ files whose popularities are random. These files are updated according to the move-to-front rule and we consider the induced Markov chain at equilibrium. We give the exact limiting distribution of the search-cost per…

Probability · Mathematics 2007-05-23 Javiera Barrera , Thierry Huillet , Christian Paroissin