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The $k$-center problem is a canonical and long-studied facility location and clustering problem with many applications in both its symmetric and asymmetric forms. Both versions of the problem have tight approximation factors on worst case…

Data Structures and Algorithms · Computer Science 2019-01-01 Maria-Florina Balcan , Nika Haghtalab , Colin White

This paper revisits the LLM cache bandit problem, with a special focus on addressing the query heterogeneity for cost-effective LLM inference. Previous works often assume uniform query sizes. Heterogeneous query sizes introduce a…

Computation and Language · Computer Science 2025-09-22 Hantao Yang , Hong Xie , Defu Lian , Enhong Chen

There has been a recent explosion in the size of stored data, partially due to advances in storage technology, and partially due to the growing popularity of cloud-computing and the vast quantities of data generated. This motivates the need…

Data Structures and Algorithms · Computer Science 2012-12-06 Isabelle Stanton

Federated learning (FL) algorithms usually sample a fraction of clients in each round (partial participation) when the number of participants is large and the server's communication bandwidth is limited. Recent works on the convergence…

Machine Learning · Computer Science 2021-12-22 Bing Luo , Wenli Xiao , Shiqiang Wang , Jianwei Huang , Leandros Tassiulas

We study memory-bounded algorithms for the $k$-secretary problem. The algorithm of Kleinberg (SODA 2005) achieves an optimal competitive ratio of $1 - O(1/\sqrt{k})$, yet a straightforward implementation requires $\Omega(k)$ memory. Our…

Data Structures and Algorithms · Computer Science 2026-05-11 Mingda Qiao , Wei Zhang

In this paper, we consider the weighted online set k-multicover problem. In this problem, we have a universe V of elements, a family S of subsets of V with a positive real cost for every set in S and a "coverage factor" (positive integer)…

Data Structures and Algorithms · Computer Science 2015-03-19 Piotr Berman , Bhaskar DasGupta

We consider an online load balancing problem and its extensions in the framework of repeated games. On each round, the player chooses a distribution (task allocation) over $K$ servers, and then the environment reveals the load of each…

Data Structures and Algorithms · Computer Science 2020-07-22 Yaxiong Liu , Kohei Hatano , Eiji Takimoto

Machine unlearning, as a post-hoc processing technique, has gained widespread adoption in addressing challenges like bias mitigation and robustness enhancement, colloquially, machine unlearning for fairness and robustness. However, existing…

Machine Learning · Computer Science 2025-05-27 Xinbao Qiao , Ningning Ding , Yushi Cheng , Meng Zhang

Load balancing plays a critical role in efficiently dispatching jobs in parallel-server systems such as cloud networks and data centers. A fundamental challenge in the design of load balancing algorithms is to achieve an optimal trade-off…

Performance · Computer Science 2020-12-16 Mark van der Boor , Sem Borst , Johan van Leeuwaarden

We consider the problem of learning and using predictions for warm start algorithms with predictions. In this setting, an algorithm is given an instance of a problem, and a prediction of the solution. The runtime of the algorithm is bounded…

Data Structures and Algorithms · Computer Science 2024-05-07 Vaidehi Srinivas , Avrim Blum

We study the online unweighted bipartite matching problem in the random arrival order model, with $n$ offline and $n$ online vertices, in the learning-augmented setting: The algorithm is provided with untrusted predictions of the types…

Machine Learning · Computer Science 2025-12-01 Kunanon Burathep , Thomas Erlebach , William K. Moses

In this paper, we study an optimal online resource reservation problem in a simple communication network. The network is composed of two compute nodes linked by a local communication link. The system operates in discrete time; at each time…

Optimization and Control · Mathematics 2024-04-04 Ahmed Sid-Ali , Ioannis Lambadaris , Yiqiang Q. Zhao , Gennady Shaikhet , Shima Kheradmand

We study \emph{parallel} online algorithms: For some fixed integer $k$, a collective of $k$ parallel processes that perform online decisions on the same sequence of events forms a $k$-\emph{copy algorithm}. For any given time and input…

Data Structures and Algorithms · Computer Science 2019-10-09 Sándor P. Fekete , Jonas Grosse-Holz , Phillip Keldenich , Arne Schmidt

The $k$-center problem is a fundamental optimization problem with numerous applications in machine learning, data analysis, data mining, and communication networks. The $k$-center problem has been extensively studied in the classical…

Data Structures and Algorithms · Computer Science 2025-04-28 Artur Czumaj , Guichen Gao , Mohsen Ghaffari , Shaofeng H. -C. Jiang

In the k-center problem, given a metric space V and a positive integer k, one wants to select k elements (centers) of V and an assignment from V to centers, minimizing the maximum distance between an element of V and its assigned center.…

Data Structures and Algorithms · Computer Science 2016-08-08 Cristina G. Fernandes , Samuel P. de Paula , Lehilton L. C. Pedrosa

We study the design of storage-efficient algorithms for emulating atomic shared memory over an asynchronous, distributed message-passing system. Our first algorithm is an atomic single-writer multi-reader algorithm based on a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-27 Marwen Zorgui , Robert Mateescu , Filip Blagojevic , Cyril Guyot , Zhiying Wang

Bipartite ranking is an important supervised learning problem; however, unlike regression or classification, it has a quadratic dependence on the number of samples. To circumvent the prohibitive sample cost, many recent work focus on…

Machine Learning · Computer Science 2019-12-03 San Gultekin , John Paisley

We study the online facility location problem with uniform facility costs in the random-order model. Meyerson's algorithm [FOCS'01] is arguably the most natural and simple online algorithm for the problem with several advantages and…

Data Structures and Algorithms · Computer Science 2022-11-11 Haim Kaplan , David Naori , Danny Raz

In this paper, we study the problem of {\em $k$-center clustering with outliers}. The problem has many important applications in real world, but the presence of outliers can significantly increase the computational complexity. Though a…

Machine Learning · Computer Science 2023-01-10 Hu Ding , Ruomin Huang , Kai Liu , Haikuo Yu , Zixiu Wang

In the model of online caching with machine learned advice, introduced by Lykouris and Vassilvitskii, the goal is to solve the caching problem with an online algorithm that has access to next-arrival predictions: when each input element…

Data Structures and Algorithms · Computer Science 2019-10-31 Dhruv Rohatgi