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We revisit multipass pairing heaps and path-balanced binary search trees (BSTs), two classical algorithms for data structure maintenance. The pairing heap is a simple and efficient "self-adjusting" heap, introduced in 1986 by Fredman,…

Data Structures and Algorithms · Computer Science 2018-06-25 Dani Dorfman , Haim Kaplan , László Kozma , Seth Pettie , Uri Zwick

In heterogeneous rank aggregation problems, users often exhibit various accuracy levels when comparing pairs of items. Thus a uniform querying strategy over users may not be optimal. To address this issue, we propose an elimination-based…

Machine Learning · Computer Science 2021-10-11 Yue Wu , Tao Jin , Hao Lou , Pan Xu , Farzad Farnoud , Quanquan Gu

This paper studies the average complexity on the number of comparisons for sorting algorithms. Its information-theoretic lower bound is $n \lg n - 1.4427n + O(\log n)$. For many efficient algorithms, the first $n\lg n$ term is easy to…

Data Structures and Algorithms · Computer Science 2017-05-03 Kazuo Iwama , Junichi Teruyama

We aim to create the highest possible quality of treatment-control matches for categorical data in the potential outcomes framework. Matching methods are heavily used in the social sciences due to their interpretability, but most matching…

Machine Learning · Statistics 2019-06-11 Yameng Liu , Aw Dieng , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky

We study approximation algorithms for scheduling problems with the objective of minimizing total weighted completion time, under identical and related machine models with job precedence constraints. We give algorithms that improve upon many…

Data Structures and Algorithms · Computer Science 2017-07-26 Shi Li

This paper studies the problem of distributed Riemannian optimization over a network of agents whose cost functions are geodesically smooth but possibly geodesically non-convex. Extending a well-known distributed optimization strategy…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Xiuheng Wang , Ricardo Borsoi , Cédric Richard , Ali H. Sayed

We consider the problem of optimally compressing and caching data across a communication network. Given the data generated at edge nodes and a routing path, our goal is to determine the optimal data compression ratios and caching decisions…

Networking and Internet Architecture · Computer Science 2018-01-25 Jian Li , Faheem Zafari , Don Towsley , Kin K. Leung , Ananthram Swami

Orthogonality constraints naturally appear in many machine learning problems, from principal component analysis to robust neural network training. They are usually solved using Riemannian optimization algorithms, which minimize the…

Machine Learning · Statistics 2025-08-08 Pierre Ablin , Simon Vary , Bin Gao , P. -A. Absil

Carrier Sense Multiple Access (CSMA) based distributed algorithms can attain the largest capacity region as the centralized Max-Weight policy does. Despite their capability of achieving throughput-optimality, these algorithms can either…

Networking and Internet Architecture · Computer Science 2016-04-04 Mehmet Karaca , Bjorn Landfeldt

We propose a model of incentives for data pricing in large mobile networks, in which an operator wishes to balance the number of connections (active users) of different classes of users in the different cells and at different time instants,…

Optimization and Control · Mathematics 2019-01-09 Marianne Akian , Mustapha Bouhtou , Jean Bernard Eytard , Stéphane Gaubert

We study the on-line minimum weighted bipartite matching problem in arbitrary metric spaces. Here, $n$ not necessary disjoint points of a metric space $M$ are given, and are to be matched on-line with $n$ points of $M$ revealed one by one.…

Data Structures and Algorithms · Computer Science 2007-06-06 Béla Csaba , András S. Pluhár

Load balance is important for MapReduce to reduce job duration, increase parallel efficiency, etc. Previous work focuses on coarse-grained scheduling. This study concerns fine-grained scheduling on MapReduce operations. Each operation…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-15 Liya Fan , Bo Gao , Xi Sun , Fa Zhang , Zhiyong Liu

Many problems of interest for cyber-physical network systems can be formulated as Mixed Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithm to solve this class…

Optimization and Control · Mathematics 2017-12-06 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

In this paper, we develop a simple and fast online algorithm for solving a class of binary integer linear programs (LPs) arisen in general resource allocation problem. The algorithm requires only one single pass through the input data and…

Data Structures and Algorithms · Computer Science 2020-07-07 Xiaocheng Li , Chunlin Sun , Yinyu Ye

Many applications require recovering a matrix of minimal rank within an affine constraint set, with matrix completion a notable special case. Because the problem is NP-hard in general, it is common to replace the matrix rank with the…

Machine Learning · Computer Science 2015-07-08 Bo Xin , David Wipf

Finding a maximum-weight matching is a classical and well-studied problem in computer science, solvable in cubic time in general graphs. We consider the specialization called assignment problem where the input is a bipartite graph, and…

Data Structures and Algorithms · Computer Science 2024-10-15 Romaric Duvignau , Noël Gillet , Ralf Klasing

Space-ground communication systems are important in providing ubiquitous services in a large area. This paper considers the fairness designs under a load-balancing framework with heterogeneous receivers comprising access points (APs) and a…

Information Theory · Computer Science 2025-11-04 Trinh Van Chien , Ngo Tran Anh Thu , Nguyen Hoang Lam , Hien Quoc Ngo , Symeon Chatzinotas , Huynh Thi Thanh Binh

The unmatched ability of Deep Neural Networks in capturing complex patterns in large and noisy datasets is often associated with their large hypothesis space, and consequently to the vast amount of parameters that characterize model…

Machine Learning · Computer Science 2026-02-25 Enrico Ballini , Luca Muscarnera , Alessio Fumagalli , Anna Scotti , Francesco Regazzoni

We present a load balancing strategy for hybrid particle-mesh methods that is based on domain decomposition and element-local time measurement. This new strategy is compared to our previous approach, which assumes a constant weighting…

Computational Physics · Physics 2018-11-14 P. Ortwein , T. Binder , S. Copplestone , A. Mirza , P. Nizenkov , M. Pfeiffer , C. -D. Munz , S. Fasoulas

Although the standard formulations of prediction problems involve fully-observed and noiseless data drawn in an i.i.d. manner, many applications involve noisy and/or missing data, possibly involving dependence, as well. We study these…

Statistics Theory · Mathematics 2015-03-19 Po-Ling Loh , Martin J. Wainwright