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We introduce a classical open-addressed hash table, called rainbow hashing, that supports a load factor of up to $1 - \varepsilon$, while also supporting $O(1)$ expected-time queries, and $O(\log \log \varepsilon^{-1})$ expected-time…

Data Structures and Algorithms · Computer Science 2024-09-18 Michael A. Bender , William Kuszmaul , Renfei Zhou

Given a set $P$ of $n$ points and a set $S$ of $m$ weighted disks in the plane, the disk coverage problem asks for a subset of disks of minimum total weight that cover all points of $P$. The problem is NP-hard. In this paper, we consider a…

Computational Geometry · Computer Science 2021-05-03 Logan Pedersen , Haitao Wang

We study the binary choice problem in a data-rich environment with asymmetric loss functions. The econometrics literature covers nonparametric binary choice problems but does not offer computationally attractive solutions in data-rich…

Econometrics · Economics 2025-11-05 Andrii Babii , Xi Chen , Eric Ghysels , Rohit Kumar

The cup game on $n$ cups is a multi-step game with two players, a filler and an emptier. At each step, the filler distributes $1$ unit of water among the cups, and then the emptier selects a single cup to remove (up to) $1$ unit of water…

Data Structures and Algorithms · Computer Science 2021-04-13 William Kuszmaul

We study the online multi-class selection problem with group fairness guarantees, where limited resources must be allocated to sequentially arriving agents. Our work addresses two key limitations in the existing literature. First, we…

Machine Learning · Computer Science 2025-10-27 Faraz Zargari , Hossein Nekouyan , Lyndon Hallett , Bo Sun , Xiaoqi Tan

We consider dynamic loading and unloading problems for heavy geometric objects. The challenge is to maintain balanced configurations at all times: minimize the maximal motion of the overall center of gravity. While this problem has been…

The Work Function Algorithm is the most effective deterministic on-line algorithm for the k-server problem. Koutsoupias and Papadimitriou proved WFA is (2k-1) competitive. However the best known implementation of WFA requires time O(i^2) to…

Data Structures and Algorithms · Computer Science 2012-03-23 Livio Colussi

Retention regulations require timely and irrecoverable disposal of data, a challenging task, as data and its side effects are stored and maintained at all layers of a computing system. Those side effects can be used as an oracle to derive…

Cryptography and Security · Computer Science 2015-11-18 Bo Chen , Radu Sion

In multi-server distributed queueing systems, the access of stochastically arriving jobs to resources is often regulated by a dispatcher, also known as load balancer. A fundamental problem consists in designing a load balancing algorithm…

Probability · Mathematics 2025-02-23 Jonatha Anselmi , Francois Dufour

We present randomized distributed algorithms for the maximal independent set problem (MIS) that, while keeping the time complexity nearly matching the best known, reduce the energy complexity substantially. These algorithms work in the…

Data Structures and Algorithms · Computer Science 2023-05-24 Mohsen Ghaffari , Julian Portmann

We present a new non-blocking doubly-linked list implementation for an asynchronous shared-memory system. It is the first such implementation for which an upper bound on amortized time complexity has been proved. In our implementation,…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-11 Niloufar Shafiei

Parallel iterative applications often suffer from load imbalance, one of the most critical performance degradation factors. Hence, load balancing techniques are used to distribute the workload evenly to maximize performance. A key challenge…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-06 Anthony Boulmier , Nabil Abdennadher , Bastien Chopard

We study the Min-Weighted Sum Bin Packing problem, a variant of the classical Bin Packing problem in which items have a weight, and each item induces a cost equal to its weight multiplied by the index of the bin in which it is packed. This…

Data Structures and Algorithms · Computer Science 2023-04-06 Guillaume Sagnol

We present a new approach to the problems of evaluating and learning personalized decision policies from observational data of past contexts, decisions, and outcomes. Only the outcome of the enacted decision is available and the historical…

Machine Learning · Statistics 2019-06-04 Nathan Kallus

We study the conditions under which the iterated elimination of strictly dominated strategies is order independent and we identify a class of discontinuous games for which order does not matter. In this way, we answer the open problem…

Optimization and Control · Mathematics 2013-03-29 Monica Patriche

Convex composition optimization is an emerging topic that covers a wide range of applications arising from stochastic optimal control, reinforcement learning and multi-stage stochastic programming. Existing algorithms suffer from…

Optimization and Control · Mathematics 2020-09-01 Tianyi Lin , Chenyou Fan , Mengdi Wang , Michael I. Jordan

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

In the online load balancing problem on related machines, we have a set of jobs (with different sizes) arriving online, and we need to assign each job to a machine immediately upon its arrival, so as to minimize the makespan, i.e., the…

Data Structures and Algorithms · Computer Science 2019-09-11 Bo Li , Minming Li , Xiaowei Wu

We introduce a model of online algorithms subject to strict constraints on data retention. An online learning algorithm encounters a stream of data points, one per round, generated by some stationary process. Crucially, each data point can…

Machine Learning · Computer Science 2024-04-18 Nicole Immorlica , Brendan Lucier , Markus Mobius , James Siderius

In this paper, we reduce the complexity of approximating the correlation clustering problem from $O(m\times\left( 2+ \alpha (G) \right)+n)$ to $O(m+n)$ for any given value of $\varepsilon$ for a complete signed graph with $n$ vertices and…

Data Structures and Algorithms · Computer Science 2025-06-03 Ali Shakiba
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