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Learning the community structure of a large-scale graph is a fundamental problem in machine learning, computer science and statistics. We study the problem of exactly recovering the communities in a graph generated from the Stochastic Block…

数据结构与算法 · 计算机科学 2023-08-16 Zelin Li , Pan Peng , Xianbin Zhu

We introduce a random recursive tree model with two communities, called balanced community modulated random recursive tree, or BCMRT in short. In this setting, pairs of nodes of different type appear sequentially. Each node of the pair…

统计理论 · 数学 2024-02-12 Anna Ben-Hamou , Vasiliki Velona

In this work we present a new method of black-box optimization and constraint satisfaction. Existing algorithms that have attempted to solve this problem are unable to consider multiple modes, and are not able to adapt to changes in…

机器学习 · 计算机科学 2020-02-19 Kourosh Hakhamaneshi , Keertana Settaluri , Pieter Abbeel , Vladimir Stojanovic

In this article, we consider a second Problem of Time Facet. This started life as Wheeler's Thin Sandwich Problem, within the narrow context of 1) GR-as-Geometrodynamics, in particular its momentum constraint. 2) A Lagrangian variables…

广义相对论与量子宇宙学 · 物理学 2019-10-25 Edward Anderson

We combine integer linear programming and recent advances in Monadic Second-Order model checking to obtain two new algorithmic meta-theorems for graphs of bounded vertex-cover. The first shows that cardMSO1, an extension of the well-known…

数据结构与算法 · 计算机科学 2013-06-25 Robert Ganian , Jan Obdržálek

We study the problem of privately estimating the parameters of $d$-dimensional Gaussian Mixture Models (GMMs) with $k$ components. For this, we develop a technique to reduce the problem to its non-private counterpart. This allows us to…

机器学习 · 统计学 2023-06-09 Jamil Arbas , Hassan Ashtiani , Christopher Liaw

Online matching and its variants are some of the most fundamental problems in the online algorithms literature. In this paper, we study the online weighted bipartite matching problem. Karp et al. (STOC 1990) gave an elegant algorithm in the…

数据结构与算法 · 计算机科学 2019-11-22 Matthew Fahrbach , Morteza Zadimoghaddam

We give algorithms for geometric graph problems in the modern parallel models inspired by MapReduce. For example, for the Minimum Spanning Tree (MST) problem over a set of points in the two-dimensional space, our algorithm computes a…

数据结构与算法 · 计算机科学 2014-01-07 Alexandr Andoni , Aleksandar Nikolov , Krzysztof Onak , Grigory Yaroslavtsev

This letter considers optimizing user association in a heterogeneous network via utility maximization, which is a combinatorial optimization problem due to integer constraints. Different from existing solutions based on convex optimization,…

信息论 · 计算机科学 2018-06-12 Xietian Huang , Wei Xu , Guo Xie , Shi Jin , Xiaohu You

In the unit-cost comparison model, a black box takes an input two items and outputs the result of the comparison. Problems like sorting and searching have been studied in this model, and it has been generalized to include the concept of…

数据结构与算法 · 计算机科学 2020-04-29 Michael A. Bender , Mayank Goswami , Dzejla Mededovic , Pablo Montes , Kostas Tsichlas

We develop several algorithms taking advantage of two common approaches for bounding MPE queries in graphical models: minibucket elimination and message-passing updates for linear programming relaxations. Both methods are quite similar, and…

人工智能 · 计算机科学 2012-10-19 Alexander T. Ihler , Natalia Flerova , Rina Dechter , Lars Otten

We study the problem of fairly allocating a divisible resource, also known as cake cutting, with an additional requirement that the shares that different agents receive should be sufficiently separated from one another. This captures, for…

计算机科学与博弈论 · 计算机科学 2022-09-20 Edith Elkind , Erel Segal-Halevi , Warut Suksompong

In the \emph {barrier resilience} problem (introduced by Kumar {\em et al.}, Wireless Networks 2007), we are given a collection of regions of the plane, acting as obstacles, and we would like to remove the minimum number of regions so that…

计算复杂性 · 计算机科学 2017-06-07 Matias Korman , Maarten Löffler , Rodrigo I. Silveira , Darren Strash

The first paper in this series introduced a \emph{short-to-long mixing} condition that captures mean-field GOE/GUE edge universality in the supercritical sparsity regime, for symmetric/Hermitian random matrices with independent entries and…

概率论 · 数学 2026-04-23 Dang-Zheng Liu , Guangyi Zou

We study the one-dimensional totally asymmetric simple exclusion process in contact with two reservoirs including also a fugacity at one boundary. The eigenvectors and the eigenvalues of the corresponding Markov matrix are computed using…

数学物理 · 物理学 2015-02-03 Nicolas Crampe

The Min-sum single machine scheduling problem (denoted 1||sum f_j) generalizes a large number of sequencing problems. The first constant approximation guarantees have been obtained only recently and are based on natural time-indexed LP…

数据结构与算法 · 计算机科学 2015-11-30 Adam Kurpisz , Samuli Leppänen , Monaldo Mastrolilli

Fix a finite group $G$. We study the computational complexity of counting problems of the following flavor: given a group $\Gamma$, count the number of homomorphisms $\Gamma \to G$. Our first result establishes that this problem is…

群论 · 数学 2026-04-22 Eric Samperton , Armin Weiß

We investigate the power of randomized algorithms for the maximum cardinality matching (MCM) and the maximum weight matching (MWM) problems in the online preemptive model. In this model, the edges of a graph are revealed one by one and the…

数据结构与算法 · 计算机科学 2015-07-03 Ashish Chiplunkar , Sumedh Tirodkar , Sundar Vishwanathan

A memory efficient approach to ensembling neural networks is to share most weights among the ensembled models by means of a single reference network. We refer to this strategy as Embedded Ensembling (EE); its particular examples are…

Recent advances in large-margin classification of data residing in general metric spaces (rather than Hilbert spaces) enable classification under various natural metrics, such as string edit and earthmover distance. A general framework…

机器学习 · 计算机科学 2014-07-14 Lee-Ad Gottlieb , Aryeh Kontorovich , Robert Krauthgamer