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Computing the coordinate-wise maxima of a planar point set is a classic and well-studied problem in computational geometry. We give an algorithm for this problem in the \emph{self-improving setting}. We have $n$ (unknown) independent…

Computational Geometry · Computer Science 2014-04-29 Kenneth L. Clarkson , Wolfgang Mulzer , C. Seshadhri

This paper introduces a novel Differential Dynamic Programming (DDP) algorithm for solving discrete-time finite-horizon optimal control problems with inequality constraints. Two variants, namely Feasible- and Infeasible-IPDDP algorithms,…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Andrei Pavlov , Iman Shames , Chris Manzie

We consider the one-to-one Pickup and Delivery Problem (PDP) in Euclidean Space with arbitrary dimension $d$ where $n$ transportation requests are picked i.i.d. with a separate origin-destination pair for each object to be moved. First, we…

Computational Complexity · Computer Science 2016-10-31 Martin Olsen

We consider the problem of cache-aided Multiuser Private Information Retrieval (MuPIR) which is an extension of the single-user cache-aided PIR problem to the case of multiple users. In MuPIR, each of the $K_{\rm u}$ cache-equipped users…

Information Theory · Computer Science 2020-11-24 Xiang Zhang , Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

Many existing deep learning models are vulnerable to adversarial examples that are imperceptible to humans. To address this issue, various methods have been proposed to design network architectures that are robust to one particular type of…

Machine Learning · Computer Science 2021-01-19 Jia Liu , Yaochu Jin

We propose an algorithm for generating explicit solutions of multiparametric mixed-integer convex programs to within a given suboptimality tolerance. The algorithm is applicable to a very general class of optimization problems, but is most…

Optimization and Control · Mathematics 2019-06-12 Danylo Malyuta , Behcet Acikmese

Many resource allocation problems can be formulated as an optimization problem whose constraints contain sensitive information about participating users. This paper concerns solving this kind of optimization problem in a distributed manner…

Optimization and Control · Mathematics 2016-11-17 Shuo Han , Ufuk Topcu , George J. Pappas

Consider the following variant of the set cover problem. We are given a universe $U=\{1,...,n\}$ and a collection of subsets $\mathcal{C} = \{S_1,...,S_m\}$ where $S_i \subseteq U$. For every element $u \in U$ we need to find a set $\phi(u)…

Computational Complexity · Computer Science 2017-07-07 Marek Adamczyk , Fabrizio Grandoni , Stefano Leonardi , MIchal Wlodarczyk

Since the label collecting is prohibitive and time-consuming, unsupervised methods are preferred in applications such as fraud detection. Meanwhile, such applications usually require modeling the intrinsic clusters in high-dimensional data,…

Machine Learning · Computer Science 2020-12-16 Han Zhang , Wenhao Zheng , Charley Chen , Kevin Gao , Yao Hu , Ling Huang , Wei Xu

We consider the problem of a learning agent who has to repeatedly play a general sum game against a strategic opponent who acts to maximize their own payoff by optimally responding against the learner's algorithm. The learning agent knows…

Computer Science and Game Theory · Computer Science 2025-02-21 Eshwar Ram Arunachaleswaran , Natalie Collina , Jon Schneider

Breakthroughs in unsupervised domain adaptation (uDA) can help in adapting models from a label-rich source domain to unlabeled target domains. Despite these advancements, there is a lack of research on how uDA algorithms, particularly those…

Machine Learning · Computer Science 2021-12-28 Shaoduo Gan , Akhil Mathur , Anton Isopoussu , Fahim Kawsar , Nadia Berthouze , Nicholas Lane

How can we determine whether an AI system preserves itself as a deeply held objective or merely as an instrumental strategy? Autonomous agents with memory, persistent context, and multi-step planning create a measurement problem: terminal…

Artificial Intelligence · Computer Science 2026-03-31 Christopher Altman

Distributed systems require robust, scalable identifier schemes to ensure data uniqueness and efficient indexing across multiple nodes. This paper presents a comprehensive analysis of the evolution of distributed identifiers, comparing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-12 Nima Karimian Kakolaki

Efficient trajectory generation in complex dynamic environments remains an open problem in the unmanned surface vehicle (USV). The perception of the USV is usually interfered with by the swing of the hull and the ambient weather, making it…

Robotics · Computer Science 2023-01-31 Tao Huang , Zhe Chen , Wang Gao , Zhenfeng Xue , Yong Liu

We study a fundamental stochastic selection problem involving $n$ independent random variables, each of which can be queried at some cost. Given a tolerance level $\delta$, the goal is to find a value that is $\delta$-approximately minimum…

Data Structures and Algorithms · Computer Science 2025-04-25 Hessa Al-Thani , Viswanath Nagarajan

Distributed learning is commonly used for training deep learning models, especially large models. In distributed learning, manual parallelism (MP) methods demand considerable human effort and have limited flexibility. Hence, automatic…

Machine Learning · Computer Science 2025-04-21 Hao Lin , Ke Wu , Jie Li , Jun Li , Wu-Jun Li

As modern problems such as autonomous driving, control of robotic components, and medical diagnostics have become increasingly difficult to solve analytically, data-driven decision-making has seen a large gain in interest. Where there are…

Machine Learning · Computer Science 2022-09-27 Keith Badger

Recently, with the application of deep learning in the remote sensing image (RSI) field, the classification accuracy of the RSI has been dramatically improved compared with traditional technology. However, even the state-of-the-art object…

Computer Vision and Pattern Recognition · Computer Science 2023-01-04 Qingyu Wang , Guorui Feng , Zhaoxia Yin , Bin Luo

We study an online stochastic matching problem in which an algorithm sequentially matches $U$ users to $K$ arms, aiming to maximize cumulative reward over $T$ rounds under budget constraints. Without structural assumptions, computing the…

Machine Learning · Computer Science 2026-02-11 Omer Ben-Porat , Gur Keinan , Rotem Torkan

This work addresses the problem of coupling vision-based navigation systems for Unmanned Aerial Vehicles (UAVs) with robust obstacle avoidance capabilities. The former problem is solved by maximizing the visibility of the points of…

Robotics · Computer Science 2019-11-06 Ciro Potena , Daniele Nardi , Alberto Pretto