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In the online matching on the line problem, the task is to match a set of requests $R$ online to a given set of servers $S$. The distance metric between any two points in $R\,\cup\, S$ is a line metric and the objective for the online…

Data Structures and Algorithms · Computer Science 2017-12-20 Antonios Antoniadis , Carsten Fischer , Andreas Tönnis

The monotonic ordinal classification has increased the interest of researchers and practitioners within machine learning community in the last years. In real applications, the problems with monotonicity constraints are very frequent. To…

Artificial Intelligence · Computer Science 2018-10-23 José-Ramón Cano , Julián Luengo , Salvador García

Prophet inequalities compare the expected performance of an online algorithm for a stochastic optimization problem to the expected optimal solution in hindsight. They are a major alternative to classic worst-case competitive analysis, of…

Computer Science and Game Theory · Computer Science 2020-04-22 Paul Dütting , Thomas Kesselheim , Brendan Lucier

Consider the problem of finding high dimensional approximate nearest neighbors, where the data is generated by some known probabilistic model. We will investigate a large natural class of algorithms which we call bucketing codes. We will…

Information Theory · Computer Science 2016-11-17 Moshe Dubiner

The online bin packing problem and its variants are regularly used to model server allocation problems. Modern concerns surrounding sustainability and overcommitment in cloud computing motivate bin packing models that capture costs…

Data Structures and Algorithms · Computer Science 2025-11-03 Jackson Bibbens , Cooper Sigrist , Bo Sun , Shahin Kamali , Mohammad Hajiesmaili

We address the problem of predicting the labeling of a graph in an online setting when the labeling is changing over time. We present an algorithm based on a specialist approach; we develop the machinery of cluster specialists which…

Machine Learning · Computer Science 2019-06-18 Mark Herbster , James Robinson

In many problems, the inputs arrive over time, and must be dealt with irrevocably when they arrive. Such problems are online problems. A common method of solving online problems is to first solve the corresponding linear program, and then…

Data Structures and Algorithms · Computer Science 2012-04-04 Umang Bhaskar , Lisa Fleischer

We consider the allocation of $m$ balls into $n$ bins with incomplete information. In the classical Two-Choice process a ball first queries the load of two randomly chosen bins and is then placed in the least loaded bin. In our setting,…

Discrete Mathematics · Computer Science 2022-01-28 Dimitrios Los , Thomas Sauerwald

Boundary labeling is a technique in computational geometry used to label sets of features in an illustration. It involves placing labels along an axis-parallel bounding box and connecting each label with its corresponding feature using…

Computational Geometry · Computer Science 2025-05-08 Thomas Depian , Martin Nöllenburg , Soeren Terziadis , Markus Wallinger

We consider the problem of sorting elements on a series of stacks, introduced by Tarjan and Knuth. We improve the asymptotic lower bound for the number of stacks necessary to sort $n$ elements to $0.561 \log_2 n + O(1)$. This is the first…

Discrete Mathematics · Computer Science 2012-12-05 Luke Schaeffer

In this paper, a high-speed online neural network classifier based on extreme learning machines for multi-label classification is proposed. In multi-label classification, each of the input data sample belongs to one or more than one of the…

Machine Learning · Computer Science 2016-09-06 Rajasekar Venkatesan , Meng Joo Er , Mihika Dave , Mahardhika Pratama , Shiqian Wu

We study the fundamental problem of offline assortment optimization under the Multinomial Logit (MNL) model, where sellers must determine the optimal subset of the products to offer based solely on historical customer choice data. While…

Machine Learning · Statistics 2025-08-26 Yuxuan Han , Han Zhong , Miao Lu , Jose Blanchet , Zhengyuan Zhou

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

Boolean cardinality constraints state that at most (at least, or exactly) $k$ out of $n$ propositional literals can be true. We propose a new class of selection networks that can be used for an efficient encoding of them. Several comparator…

Data Structures and Algorithms · Computer Science 2017-04-17 Michał Karpiński , Marek Piotrów

In the online balanced graph repartitioning problem, one has to maintain a clustering of $n$ nodes into $\ell$ clusters, each having $k = n / \ell$ nodes. During runtime, an online algorithm is given a stream of communication requests…

Data Structures and Algorithms · Computer Science 2021-08-26 Marcin Bienkowski , Martin Böhm , Martin Koutecký , Thomas Rothvoß , Jiří Sgall , Pavel Veselý

We consider the following fundamental routing problem. An adversary inputs packets arbitrarily at sources, each packet with an arbitrary destination. Traffic is constrained by link capacities and buffer sizes, and packets may be dropped at…

Data Structures and Algorithms · Computer Science 2015-01-27 Guy Even , Moti Medina , Boaz Patt-Shamir

We consider NCA labeling schemes: given a rooted tree $T$, label the nodes of $T$ with binary strings such that, given the labels of any two nodes, one can determine, by looking only at the labels, the label of their nearest common…

Data Structures and Algorithms · Computer Science 2015-04-21 Stephen Alstrup , Esben Bistrup Halvorsen , Kasper Green Larsen

Extreme multi-label learning (XML) or classification has been a practical and important problem since the boom of big data. The main challenge lies in the exponential label space which involves $2^L$ possible label sets especially when the…

Machine Learning · Computer Science 2018-06-11 Wenjie Zhang , Junchi Yan , Xiangfeng Wang , Hongyuan Zha

In the online bipartite matching with reassignments problem, an algorithm is initially given only one side of the vertex set of a bipartite graph; the vertices on the other side are revealed to the algorithm one by one, along with its…

Data Structures and Algorithms · Computer Science 2020-03-12 Yongho Shin , Kangsan Kim , Seungmin Lee , Hyung-Chan An

In pliable index coding, we consider a server with $m$ messages and $n$ clients where each client has as side information a subset of the messages. We seek to minimize the number of broadcast transmissions, so that each client can recover…

Information Theory · Computer Science 2017-08-11 Linqi Song , Christina Fragouli