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We study online convex optimization in a setting where the learner seeks to minimize the sum of a per-round hitting cost and a movement cost which is incurred when changing decisions between rounds. We prove a new lower bound on the…

Machine Learning · Computer Science 2019-10-23 Gautam Goel , Yiheng Lin , Haoyuan Sun , Adam Wierman

This paper studies online optimization under inventory (budget) constraints. While online optimization is a well-studied topic, versions with inventory constraints have proven difficult. We consider a formulation of inventory-constrained…

Performance · Computer Science 2024-12-20 Qiulin Lin , Hanling Yi , John Pang , Minghua Chen , Adam Wierman , Michael Honig , Yuanzhang Xiao

The problem of finding the shortest path for a vehicle visiting a given sequence of target points subject to the motion constraints of the vehicle is an important problem that arises in several monitoring and surveillance applications…

Robotics · Computer Science 2016-04-19 Sivakumar Rathinam , Pramod Khargonekar

We study the problem of sorting under incomplete information, when queries are used to resolve uncertainties. Each of $n$ data items has an unknown value, which is known to lie in a given interval. We can pay a query cost to learn the…

Data Structures and Algorithms · Computer Science 2021-04-16 Magnús M. Halldórsson , Murilo S. de Lima

When robots operate in real-world off-road environments with unstructured terrains, the ability to adapt their navigational policy is critical for effective and safe navigation. However, off-road terrains introduce several challenges to…

Robotics · Computer Science 2022-07-29 Sriram Siva , Maggie Wigness , John G. Rogers , Long Quang , Hao Zhang

Follow-The-Regularized-Leader (FTRL) is known as an effective and versatile approach in online learning, where appropriate choice of the learning rate is crucial for smaller regret. To this end, we formulate the problem of adjusting FTRL's…

Machine Learning · Computer Science 2024-03-12 Shinji Ito , Taira Tsuchiya , Junya Honda

Navigating an environment with uncertain connectivity requires a strategic balance between minimizing the cost of traversal and seeking information to resolve map ambiguities. Unlike previous approaches that rely on local sensing, we…

Robotics · Computer Science 2026-03-05 Jongann Lee , Melkior Ornik

A mobile agent has to find an inert target in some environment that can be a graph or a terrain in the plane. This task is known as treasure hunt. We consider deterministic algorithms for treasure hunt in trees. Our goal is to establish the…

Data Structures and Algorithms · Computer Science 2025-03-18 Sébastien Bouchard , Arnaud Labourel , Andrzej Pelc

In this paper, we study two variants of the online metric matching problem. The first problem is the online metric matching problem where all the servers are placed at one of two positions in the metric space. We show that a simple greedy…

Data Structures and Algorithms · Computer Science 2020-10-01 Toshiya Itoh , Shuichi Miyazaki , Makoto Satake

The orienteering problem is a well-studied and fundamental problem in transportation science. In the problem, we are given a graph with prizes on the nodes and lengths on the edges, together with a budget on the overall tour length. The…

Optimization and Control · Mathematics 2024-07-04 Eduardo Álvarez-Miranda , Markus Sinnl , Kübra Tanınmış

In the (discrete) CNN problem, online requests appear as points in $\mathbb{R}^2$. Each request must be served before the next one is revealed. We have a server that can serve a request simply by aligning either its $x$ or $y$ coordinate…

Data Structures and Algorithms · Computer Science 2012-06-20 John Augustine , Nick Gravin

A new pattern search method for bound constrained optimization is introduced. The proposed algorithm employs the coordinate directions, in a suitable way, with a nonmonotone line search for accepting the new iterate, without using…

Optimization and Control · Mathematics 2018-06-25 Johanna A. Frau , Elvio A. Pilotta

We introduce the study of search games between a mobile Searcher and an immobile Hider in a new setting in which the Searcher has some potentially erroneous information, i.e., a prediction on the Hider's position. The objective is to…

Computer Science and Game Theory · Computer Science 2024-09-05 Spyros Angelopoulos , Thomas Lidbetter , Konstantinos Panagiotou

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…

Computational Geometry · Computer Science 2010-09-28 Sandor P. Fekete , Christiane Schmidt

What is the fastest way of finding a randomly hidden target? This question of general relevance is of vital importance for foraging animals. Experimental observations reveal that the search behaviour of foragers is generally intermittent:…

Statistical Mechanics · Physics 2009-11-11 O. Benichou , M. Coppey , M. Moreau , P-H. Suet , R. Voituriez

Dogfight is a tactical behavior of cooperation between fighters. Inspired by this, this paper proposes a novel metaphor-free metaheuristic algorithm called Dogfight Search (DoS). Unlike traditional algorithms, DoS draws algorithmic…

Artificial Intelligence · Computer Science 2026-03-31 Yujing Sun , Jie Cai , Xingguo Xu , Yuansheng Gao , Lei Zhang , Kaichen Ouyang , Zhanyu Liu

We explore the question of how to learn an optimal search strategy within the example of a parking problem where parking opportunities arrive according to an unknown inhomogeneous Poisson process. The optimal policy is a threshold-type…

Machine Learning · Computer Science 2026-03-04 Stefan Ankirchner , Maximilian Philipp Thiel

Hyperparameters greatly impact models' capabilities; however, modern models are too large for extensive search. Instead, researchers design recipes that train well across scales based on their understanding of the hyperparameters. Despite…

Machine Learning · Computer Science 2025-10-06 Nicholas Lourie , He He , Kyunghyun Cho

We consider the classical online scheduling problem P||C_{max} in which jobs are released over list and provide a nearly optimal online algorithm. More precisely, an online algorithm whose competitive ratio is at most (1+\epsilon) times…

Data Structures and Algorithms · Computer Science 2013-02-19 Lin Chen , Deshi Ye , Guochuan Zhang

There is a rising interest for studying the online benchmark as an alternative of the classical offline benchmark in online stochastic settings. Ezra, Feldman, Gravin, and Tang (SODA 2023) introduced the notion of order-competitive ratio,…

Data Structures and Algorithms · Computer Science 2024-06-24 Liyan Chen , Nuozhou Sun , Zhihao Gavin Tang
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