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We introduce and study the weighted version of an online matching problem in the Euclidean plane with non-crossing constraints: points with non-negative weights arrive online, and an algorithm can match an arriving point to one of the…

Data Structures and Algorithms · Computer Science 2026-03-11 Joan Boyar , Shahin Kamali , Kim S. Larsen , Ali Fata Lavasani , Yaqiao Li , Denis Pankratov

Online learning to rank is a sequential decision-making problem where in each round the learning agent chooses a list of items and receives feedback in the form of clicks from the user. Many sample-efficient algorithms have been proposed…

Machine Learning · Statistics 2019-03-20 Tor Lattimore , Branislav Kveton , Shuai Li , Csaba Szepesvari

We consider the problem of on-line prediction of real-valued labels, assumed bounded in absolute value by a known constant, of new objects from known labeled objects. The prediction algorithm's performance is measured by the squared…

Machine Learning · Computer Science 2007-05-23 Vladimir Vovk

Large, distributed data streams are now ubiquitous. High-accuracy sketches with low memory overhead have become the de facto method for analyzing this data. For instance, if we wish to group data by some label and report the largest counts…

Data Structures and Algorithms · Computer Science 2024-02-14 Homin K. Lee , Charles Masson

In this paper, we study a number of well-known combinatorial optimization problems that fit in the following paradigm: the input is a collection of (potentially inconsistent) local relationships between the elements of a ground set (e.g.,…

Data Structures and Algorithms · Computer Science 2021-02-24 Vaggos Chatziafratis , Mohammad Mahdian , Sara Ahmadian

The maximum clique problem is a well known NP-Hard problem with applications in data mining, network analysis, information retrieval and many other areas related to the World Wide Web. There exist several algorithms for the problem with…

Data Structures and Algorithms · Computer Science 2014-12-01 Bharath Pattabiraman , Md. Mostofa Ali Patwary , Assefaw H. Gebremedhin , Wei-keng Liao , Alok Choudhary

We study online optimization in a setting where an online learner seeks to optimize a per-round hitting cost, which may be non-convex, while incurring a movement cost when changing actions between rounds. We ask: \textit{under what general…

Machine Learning · Computer Science 2020-01-27 Yiheng Lin , Gautam Goel , Adam Wierman

In the Colored Bin Packing problem a sequence of items of sizes up to $1$ arrives to be packed into bins of unit capacity. Each item has one of $c\geq 2$ colors and an additional constraint is that we cannot pack two items of the same color…

Data Structures and Algorithms · Computer Science 2014-12-05 Martin Böhm , Jiří Sgall , Pavel Veselý

Bin covering is a dual version of classic bin packing. Thus, the goal is to cover as many bins as possible, where covering a bin means packing items of total size at least one in the bin. For online bin covering, competitive analysis fails…

Data Structures and Algorithms · Computer Science 2014-02-28 Marie G. Christ , Lene M. Favrholdt , Kim S. Larsen

In this paper, we give a family of online algorithms for the classical coloring problem of intersection graphs of discs with bounded diameter. Our algorithms make use of a geometric representation of such graphs and are inspired by an…

Combinatorics · Mathematics 2022-06-30 Joanna Chybowska-Sokół , Konstanty Junosza-Szaniawski

Suppose there is a collection $x_1,x_2,\dots,x_N$ of independent uniform $[0,1]$ random variables, and a hypergraph $\cF$ of \emph{target structures} on the vertex set $\{1,\dots,N\}$. We would like to buy a target structure at small cost,…

Data Structures and Algorithms · Computer Science 2017-01-11 Alan Frieze , Wesley Pegden

We consider the allocation of limited resources to heterogeneous customers who arrive in an online fashion. We would like to allocate the resources "fairly", so that no group of customers is marginalized in terms of their overall service…

Data Structures and Algorithms · Computer Science 2021-05-24 Will Ma , Pan Xu , Yifan Xu

When designing a preemptive online algorithm for the maximum matching problem, we wish to maintain a valid matching M while edges of the underlying graph are presented one after the other. When presented with an edge e, the algorithm should…

Data Structures and Algorithms · Computer Science 2015-03-20 Leah Epstein , Asaf Levin , Danny Segev , Oren Weimann

We consider revenue maximization in online auction/pricing problems. A seller sells an identical item in each period to a new buyer, or a new set of buyers. For the online posted pricing problem, we show regret bounds that scale with the…

Computer Science and Game Theory · Computer Science 2018-09-13 Sébastien Bubeck , Nikhil R. Devanur , Zhiyi Huang , Rad Niazadeh

We study the problem of matching agents who arrive at a marketplace over time and leave after d time periods. Agents can only be matched while they are present in the marketplace. Each pair of agents can yield a different match value, and…

Data Structures and Algorithms · Computer Science 2018-08-13 Itai Ashlagi , Maximilien Burq , Chinmoy Dutta , Patrick Jaillet , Amin Saberi , Chris Sholley

Algorithms for listing the subgraphs satisfying a given property (e.g.,being a clique, a cut, a cycle, etc.) fall within the general framework of set systems. A set system (U, F) uses a ground set U (e.g., the network nodes) and an…

Discrete Mathematics · Computer Science 2018-03-13 Alessio Conte , Roberto Grossi , Andrea Marino , Luca Versari

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 study the online clustering problem where data items arrive in an online fashion. The algorithm maintains a clustering of data items into similarity classes. Upon arrival of v, the relation between v and previously arrived items is…

Data Structures and Algorithms · Computer Science 2010-02-03 Claire Mathieu , Ocan Sankur , Warren Schudy

Unit disk graphs are intersection graphs of circles of unit radius in the plane. We present simple and provably good heuristics for a number of classical NP-hard optimization problems on unit disk graphs. The problems considered include…

Combinatorics · Mathematics 2016-09-06 Madhav V. Marathe , H. Breu , Harry B. Hunt , S. S. Ravi , Daniel J. Rosenkrantz

In this paper, we consider the online version of the machine minimization problem (introduced by Chuzhoy et al., FOCS 2004), where the goal is to schedule a set of jobs with release times, deadlines, and processing lengths on a minimum…

Discrete Mathematics · Computer Science 2014-03-06 Nikhil Devanur , Konstantin Makarychev , Debmalya Panigrahi , Grigory Yaroslavtsev