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In the standard ball-in-bins experiment, a well-known scheme is to sample $d$ bins independently and uniformly at random and put the ball into the least loaded bin. It can be shown that this scheme yields a maximum load of $\log\log n/\log…

概率论 · 数学 2018-10-12 Dengwang Tang , Vijay G. Subramanian

We consider the problem of inserting one item into a list of N-1 ordered items. We previously showed that no quantum algorithm could solve this problem in fewer than log N/(2 log log N) queries, for N large. We transform the problem into a…

量子物理 · 物理学 2007-05-23 Edward Farhi , Jeffrey Goldstone , Sam Gutmann , Michael Sipser

The online weighted matching problem is a fundamental problem in machine learning due to its numerous applications. Despite many efforts in this area, existing algorithms are either too slow or don't take $\mathrm{deadline}$ (the longest…

数据结构与算法 · 计算机科学 2025-02-19 Zhao Song , Weixin Wang , Chenbo Yin , Junze Yin

In the Online Machine Covering problem jobs, defined by their sizes, arrive one by one and have to be assigned to $m$ parallel and identical machines, with the goal of maximizing the load of the least-loaded machine. In this work, we study…

数据结构与算法 · 计算机科学 2021-10-28 Susanne Albers , Waldo Gálvez , Maximilian Janke

In this work, we examine a generic class of simple distributed balls-into-bins algorithms. Exploiting the strong concentration bounds that apply to balls-into-bins games, we provide an iterative method to compute accurate estimates of the…

分布式、并行与集群计算 · 计算机科学 2014-08-01 Pierre Bertrand , Christoph Lenzen

Maximum weight matching is one of the most fundamental combinatorial optimization problems with a wide range of applications in data mining and bioinformatics. Developing distributed weighted matching algorithms is challenging due to the…

分布式、并行与集群计算 · 计算机科学 2019-06-06 Sepehr Assadi , MohammadHossein Bateni , Vahab Mirrokni

The graphical balls-into-bins process is a generalization of the classical 2-choice balls-into-bins process, where the bins correspond to vertices of an arbitrary underlying graph $G$. At each time step an edge of $G$ is chosen uniformly at…

离散数学 · 计算机科学 2021-11-23 Nikhil Bansal , Ohad Feldheim

This work studies online scheduling algorithms for buffer management, develops new algorithms, and analyzes their performances. Packets arrive at a release time r, with a non-negative weight w and an integer deadline d. At each time step,…

数据结构与算法 · 计算机科学 2025-11-21 Nourhan Sakr , Cliff Stein

We study the long-term behavior of the two-thinning variant of the classical balls-and-bins model. In this model, an overseer is provided with uniform random allocation of $m$ balls into $n$ bins in an on-line fashion. For each ball, the…

概率论 · 数学 2024-03-11 Ohad N. Feldheim , Ori Gurel-Gurevich , Jiange Li

Active learning is increasingly adopted for expensive multi-objective combinatorial optimization problems, but it involves a challenging subset selection problem, optimizing the batch acquisition score that quantifies the goodness of a…

机器学习 · 计算机科学 2024-06-24 Deokjae Lee , Hyun Oh Song , Kyunghyun Cho

We propose a Deep Reinforcement Learning (Deep RL) algorithm for solving the online 3D bin packing problem for an arbitrary number of bins and any bin size. The focus is on producing decisions that can be physically implemented by a robotic…

This paper addresses the task allocation problem for multi-robot systems. The main issue with the task allocation problem is inherent complexity that makes finding an optimal solution within a reasonable time almost impossible. To hand the…

多智能体系统 · 计算机科学 2019-01-11 Hyo-Sang Shin , Teng Li , Pau Segui-Gasco

In the classical balls-and-bins model, $m$ balls are allocated into $n$ bins one by one uniformly at random. In this note, we consider the $d$-thinning variant of this model, in which the process is regulated in an on-line fashion as…

概率论 · 数学 2020-01-06 Ohad N. Feldheim , Jiange Li

In this paper, we consider a subset selection problem in a spatial field where we seek to find a set of k locations whose observations provide the best estimate of the field value at a finite set of prediction locations. The measurements…

最优化与控制 · 数学 2022-04-12 Shamak Dutta , Nils Wilde , Stephen L. Smith

This paper investigates the problem of distributed network-wide averaging and proposes a new greedy gossip algorithm. Instead of finding the optimal path of each node in a greedy manner, the proposed approach utilises a suboptimal…

系统与控制 · 计算机科学 2019-08-20 Hyo-Sang Shin , Shaoming He , Antonios Tsourdos

We perform an experimental study of algorithms for online bipartite matching under the known i.i.d. input model with integral types. In the last decade, there has been substantial effort in designing complex algorithms with the goal of…

数据结构与算法 · 计算机科学 2018-08-16 Allan Borodin , Christodoulos Karavasilis , Denis Pankratov

In many prediction problems, it is not uncommon that the number of variables used to construct a forecast is of the same order of magnitude as the sample size, if not larger. We then face the problem of constructing a prediction in the…

统计理论 · 数学 2016-02-08 Alessio Sancetta

We study Matching and other related problems in a partial information setting where the agents' utilities for being matched to other agents are hidden and the mechanism only has access to ordinal preference information. Our model is…

计算机科学与博弈论 · 计算机科学 2016-08-03 Elliot Anshelevich , Shreyas Sekar

We consider the Ordered Open End Bin Packing problem. Items of sizes in $(0,1]$ are presented one by one, to be assigned to bins in this order. An item can be assigned to any bin for which the current total size strictly below $1$. This…

数据结构与算法 · 计算机科学 2020-10-15 János Balogh , Leah Epstein , Asaf Levin

The "classical" (weak) greedy algorithm is widely used within model order reduction in order to compute a reduced basis in the offline training phase: An a posteriori error estimator is maximized and the snapshot corresponding to the…

数值分析 · 数学 2026-05-27 Niklas Reich , Karsten Urban , Jürgen Vorloeper