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We present a simple $O(n^4)$-time algorithm for computing optimal search trees with two-way comparisons. The only previous solution to this problem, by Anderson et al., has the same running time, but is significantly more complicated and is…

数据结构与算法 · 计算机科学 2022-02-14 Marek Chrobak , Mordecai Golin , J. Ian Munro , Neal E. Young

We introduce the Constrained Least-cost Tour (CLT) problem: given an undirected graph with weight and cost functions on the edges, minimise the total cost of a tour rooted at a start vertex such that the total weight lies within a given…

数据结构与算法 · 计算机科学 2019-06-20 Patrick O'Hara , M. S. Ramanujan , Theodoros Damoulas

We consider packing LP's with $m$ rows where all constraint coefficients are normalized to be in the unit interval. The n columns arrive in random order and the goal is to set the corresponding decision variables irrevocably when they…

数据结构与算法 · 计算机科学 2012-04-27 Marco Molinaro , R. Ravi

In the knapsack problem under explorable uncertainty, we are given a knapsack instance with uncertain item profits. Instead of having access to the precise profits, we are only given uncertainty intervals that are guaranteed to contain the…

数据结构与算法 · 计算机科学 2025-07-04 Jens Schlöter

Consider two robots that start at the origin of the infinite line in search of an exit at an unknown location on the line. The robots can only communicate if they arrive at the same location at exactly the same time, i.e. they use the…

With the advent of autonomous robots with two- and three-dimensional scanning capabilities, classical visibility-based exploration methods from computational geometry have gained in practical importance. However, real-life laser scanning of…

计算几何 · 计算机科学 2010-09-28 Sandor P. Fekete , Christiane Schmidt

In this work we introduce an implementation for which machine learning techniques helped improve the overall performance of an evolutionary algorithm for an optimization problem, namely a variation of robust minimum-cost path in graphs. In…

神经与进化计算 · 计算机科学 2021-02-04 Ricardo Di Pasquale , Javier Marenco

We introduce a natural online allocation problem that connects several of the most fundamental problems in online optimization. Let $M$ be an $n$-point metric space. Consider a resource that can be allocated in arbitrary fractions to the…

数据结构与算法 · 计算机科学 2021-12-01 Nikhil Bansal , Christian Coester

We give an improved lower bound of 10/3 on the competitive ratio for the exploration of an undirected, edge-weighted graph with a single agent that needs to return to the starting location after visiting all vertices. We assume that the…

数据结构与算法 · 计算机科学 2020-02-26 Alexander Birx , Yann Disser , Alexander V. Hopp , Christina Karousatou

Given a positive real value $\delta$, a set $P$ of points along a line and a distance function $d$, in the movement to independence problem, we wish to move the points to new positions on the line such that for every two points $p_{i},p_{j}…

计算几何 · 计算机科学 2016-07-01 Mehrdad Ghadiri , Sina Yazdanbod

This paper investigates online algorithms for smooth time-varying optimization problems, focusing first on methods with constant step-size, momentum, and extrapolation-length. Assuming strong convexity, precise results for the tracking…

最优化与控制 · 数学 2024-07-16 Liam Madden , Stephen Becker , Emiliano Dall'Anese

We introduce and study online conversion with switching costs, a family of online problems that capture emerging problems at the intersection of energy and sustainability. In this problem, an online player attempts to purchase…

数据结构与算法 · 计算机科学 2024-11-11 Adam Lechowicz , Nicolas Christianson , Bo Sun , Noman Bashir , Mohammad Hajiesmaili , Adam Wierman , Prashant Shenoy

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

Many practical search problems concern the search for multiple hidden objects or agents, such as earthquake survivors. In such problems, knowing only the list of possible locations, the Searcher needs to find all the hidden objects by…

最优化与控制 · 数学 2017-10-17 Thomas Lidbetter , Kyle Lin

Since Grover's seminal work, quantum search has been studied in great detail. In the usual search problem, we have a collection of n items and we would like to find a marked item. We consider a new variant of this problem in which…

量子物理 · 物理学 2007-05-23 Andris Ambainis

We study actively labeling streaming data, where an active learner is faced with a stream of data points and must carefully choose which of these points to label via an expensive experiment. Such problems frequently arise in applications…

机器学习 · 计算机科学 2023-07-06 Ting Cai , Kirthevasan Kandasamy

The Orienteering Problem with Time Window and Delay (\OPTiWinD) is a variant of the online orienteering problem. A series of requests appear in various locations while a vehicle moves within the territory to serve them. Each request has a…

离散数学 · 计算机科学 2022-01-04 Marc Demange , David Ellison , Bertrand Jouve

The computational cost of searching for new pulsars is a limiting factor for upcoming radio telescopes such as SKA. We introduce four new algorithms: an optimal constant-period search, a coherent tree search which permits optimal searching…

高能天体物理现象 · 物理学 2016-10-24 Kendrick M. Smith

We consider the problem of online Min-cost Perfect Matching with Delays (MPMD) introduced by Emek et al. (STOC 2016). In this problem, an even number of requests appear in a metric space at different times and the goal of an online…

数据结构与算法 · 计算机科学 2017-04-25 Marcin Bienkowski , Artur Kraska , Paweł Schmidt

We address the problem where a mobile search agent seeks to find an unknown number of stationary objects distributed in a bounded search domain, and the search mission is subject to time/distance constraint. Our work accounts for false…

机器人学 · 计算机科学 2018-06-26 Harun Yetkin , Collin Lutz , Daniel Stilwell