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We study the problem of computing approximate minimum edge cuts by distributed algorithms. We use a standard synchronous message passing model where in each round, $O(\log n)$ bits can be transmitted over each edge (a.k.a. the CONGEST…

数据结构与算法 · 计算机科学 2013-11-21 Mohsen Ghaffari , Fabian Kuhn

Evacuation in emergency situations can be modeled by a dynamic flow network. Two criteria have been used before: one is the evacuation completion time and the other is the aggregate evacuation time of individual evacuees. The aim of this…

数据结构与算法 · 计算机科学 2018-06-05 Binay Bhattacharya , Yuya Higashikawa , Tsunehiko Kameda , Naoki Katoh

Out-of-distribution (OOD) detection aims to identify inputs that differ from the training distribution in order to reduce unreliable predictions by deep neural networks. Among post-hoc feature-space approaches, OOD detection is commonly…

机器学习 · 计算机科学 2026-03-25 Mohamed Bahi Yahiaoui , Geoffrey Daniel , Loïc Giraldi , Jérémie Bruyelle , Julyan Arbel

A tree-packing is a collection of spanning trees of a graph. It has been a useful tool for computing the minimum cut in static, dynamic, and distributed settings. In particular, [Thorup, Comb. 2007] used them to obtain his dynamic min-cut…

数据结构与算法 · 计算机科学 2024-12-05 Tijn de Vos , Aleksander B. G. Christiansen

Let G be a directed graph with n vertices and non-negative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary face of G. We describe a randomized algorithm to preprocess the graph in O(gn log n) time…

数据结构与算法 · 计算机科学 2013-05-13 Sergio Cabello , Erin Wolf Chambers , Jeff Erickson

We show how to support efficient back traversal in a unidirectional list, using small memory and with essentially no slowdown in forward steps. Using $O(\log n)$ memory for a list of size $n$, the $i$'th back-step from the farthest point…

数据结构与算法 · 计算机科学 2009-09-29 Yossi Matias , Ely Porat

We explore the fundamental limits of distributed balls-into-bins algorithms. We present an adaptive symmetric algorithm that achieves a bin load of two in log* n+O(1) communication rounds using O(n) messages in total. Larger bin loads can…

计算复杂性 · 计算机科学 2011-03-01 Christoph Lenzen , Roger Wattenhofer

MergeInsertion, also known as the Ford-Johnson algorithm, is a sorting algorithm which, up to today, for many input sizes achieves the best known upper bound on the number of comparisons. Indeed, it gets extremely close to the…

数据结构与算法 · 计算机科学 2019-05-24 Florian Stober , Armin Weiß

Federated learning, while being a promising approach for collaborative model training, is susceptible to backdoor attacks due to its decentralized nature. Backdoor attacks have shown remarkable stealthiness, as they compromise model…

机器学习 · 计算机科学 2026-04-10 Zhengyuan Jiang , Xingyu Lyu , Shanghao Shi , Yang Xiao , Yimin Chen , Y. Thomas Hou , Wenjing Lou , Ning Wanga

We present FQN (Fast $Q_n$), a novel algorithm for fast detection of outliers in data streams. The algorithm works in the sliding window model, checking if an item is an outlier by cleverly computing the $Q_n$ scale estimator in the current…

数据结构与算法 · 计算机科学 2020-01-10 Massimo Cafaro , Catiuscia Melle , Marco Pulimeno , Italo Epicoco

This paper describes a new median algorithm and a median approximation algorithm. The former has O(n) average running time and the latter has O(n) worst-case running time. These algorithms are highly competitive with the standard algorithm…

统计计算 · 统计学 2009-05-12 Ryan J. Tibshirani

Space complexity is a critical factor in various computational models, including streaming, parallel/distributed computing, and communication complexity. We study the space complexity of the minimum-cost flow problem, a generalization of…

数据结构与算法 · 计算机科学 2026-05-12 Jan van den Brand , Zhao Song , Albert Weng

We study the problem of computing an approximate maximum cardinality matching in the semi-streaming model when edges arrive in a \emph{random} order. In the semi-streaming model, the edges of the input graph G = (V,E) are given as a stream…

数据结构与算法 · 计算机科学 2020-05-04 Aaron Bernstein

We consider the classic Set Cover problem in the data stream model. For $n$ elements and $m$ sets ($m\geq n$) we give a $O(1/\delta)$-pass algorithm with a strongly sub-linear $\tilde{O}(mn^{\delta})$ space and logarithmic approximation…

数据结构与算法 · 计算机科学 2016-05-03 Sariel Har-Peled , Piotr Indyk , Sepideh Mahabadi , Ali Vakilian

This paper considers a wireless link with randomly arriving data that is queued and served over a time-varying channel. It is known that any algorithm that comes within $\epsilon$ of the minimum average power required for queue stability…

最优化与控制 · 数学 2014-11-19 Michael J. Neely

The girth of a graph, i.e. the length of its shortest cycle, is a fundamental graph parameter. Unfortunately all known algorithms for computing, even approximately, the girth and girth-related structures in directed weighted $m$-edge and…

数据结构与算法 · 计算机科学 2018-08-14 Jakub Pachocki , Liam Roditty , Aaron Sidford , Roei Tov , Virginia Vassilevska Williams

The bin packing problem is to find the minimum number of bins of size one to pack a list of items with sizes $a_1,..., a_n$ in $(0,1]$. Using uniform sampling, which selects a random element from the input list each time, we develop a…

计算复杂性 · 计算机科学 2011-02-25 Richard Beigel , Bin Fu

Ordinal Embedding places n objects into R^d based on comparisons such as "a is closer to b than c." Current optimization-based approaches suffer from scalability problems and an abundance of low quality local optima. We instead consider a…

计算几何 · 计算机科学 2018-05-22 Jesse Anderton , Virgil Pavlu , Javed Aslam

In decision-making under uncertainty, several criteria have been studied to aggregate the performance of a solution over multiple possible scenarios. This paper introduces a novel variant of ordered weighted averaging (OWA) for optimization…

最优化与控制 · 数学 2024-01-30 Werner Baak , Marc Goerigk , Adam Kasperski , Paweł Zieliński

We consider the distributed optimization problem, where a group of agents work together to optimize a common objective by communicating with neighboring agents and performing local computations. For a given algorithm, we use tools from…

最优化与控制 · 数学 2020-09-11 Bryan Van Scoy , Laurent Lessard