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We study the problem of low-stretch spanning trees in graphs of bounded width: bandwidth, cutwidth, and treewidth. We show that any simple connected graph $G$ with a linear arrangement of bandwidth $b$ can be embedded into a distribution…

Data Structures and Algorithms · Computer Science 2020-04-20 Glencora Borradaile , Erin Wolf Chambers , David Eppstein , William Maxwell , Amir Nayyeri

The range-minimum query (RMQ) problem is a fundamental data structuring task with numerous applications. Despite the fact that succinct solutions with worst-case optimal $2n+o(n)$ bits of space and constant query time are known, it has been…

Data Structures and Algorithms · Computer Science 2019-03-07 J. Ian Munro , Sebastian Wild

Edge machine learning involves the deployment of learning algorithms at the wireless network edge so as to leverage massive mobile data for enabling intelligent applications. The mainstream edge learning approach, federated learning, has…

Information Theory · Computer Science 2020-06-24 Yuqing Du , Sheng Yang , Kaibin Huang

Minimum spanning trees (MSTs) provide a convenient representation of datasets in numerous pattern recognition activities. Moreover, they are relatively fast to compute. In this paper, we quantify the extent to which they are meaningful in…

Machine Learning · Statistics 2025-10-16 Marek Gagolewski , Anna Cena , Maciej Bartoszuk , Łukasz Brzozowski

Spectral graph sparsification aims to find ultra-sparse subgraphs whose Laplacian matrix can well approximate the original Laplacian eigenvalues and eigenvectors. In recent years, spectral sparsification techniques have been extensively…

Data Structures and Algorithms · Computer Science 2020-04-30 Zhuo Feng

For a weighted graph $G = (V, E, w)$ and a designated source vertex $s \in V$, a spanning tree that simultaneously approximates a shortest-path tree w.r.t. source $s$ and a minimum spanning tree is called a shallow-light tree (SLT).…

Computational Geometry · Computer Science 2025-12-12 Hung Le , Shay Solomon , Cuong Than , Csaba D. Tóth , Tianyi Zhang

In user-generated-content (UGC) applications, non-expert users often rely on image-to-3D generative models to create 3D assets. In this context, primitive-based shape abstraction offers a promising solution for UGC scenarios by compressing…

We design succinct encodings of {\it series-parallel, block-cactus} and {\it 3-leaf power} graphs while supporting the basic navigational queries such as degree, adjacency and neighborhood {\it optimally} in the RAM model with logarithmic…

Data Structures and Algorithms · Computer Science 2021-08-27 Sankardeep Chakraborty , Seungbum Jo , Kunihiko Sadakane , Srinivasa Rao Satti

Sketches are probabilistic data structures that can provide approximate results within mathematically proven error bounds while using orders of magnitude less memory than traditional approaches. They are tailored for streaming data analysis…

Data Structures and Algorithms · Computer Science 2019-03-05 Fatih Taşyaran , Kerem Yıldırır , Kamer Kaya , Mustafa Kemal Taş

We combine two methods for the lossless compression of unlabeled graphs - entropy compressing adjacency lists and computing canonical names for vertices - and solve an ensuing novel optimisation problem: Minimum-Entropy Tree-Extraction…

Data Structures and Algorithms · Computer Science 2026-03-17 Ziad Ismaili Alaoui , Tamio-Vesa Nakajima , Namrata , Sebastian Wild

How can we find a good graph clustering of a real-world network, that allows insight into its underlying structure and also potential functions? In this paper, we introduce a new graph clustering algorithm Dcut from a density point of view.…

Social and Information Networks · Computer Science 2016-06-06 Junming Shao , Qinli Yang , Jinhu Liu , Stefan Kramer

Text-to-Speech (TTS) services that run on edge devices have many advantages compared to cloud TTS, e.g., latency and privacy issues. However, neural vocoders with a low complexity and small model footprint inevitably generate annoying…

Audio and Speech Processing · Electrical Eng. & Systems 2022-07-01 Sangjun Park , Kihyun Choo , Joohyung Lee , Anton V. Porov , Konstantin Osipov , June Sig Sung

In recent years, non-parametric methods utilizing random walks on graphs have been used to solve a wide range of machine learning problems, but in their simplest form they do not scale well due to the quadratic complexity. In this paper, a…

Machine Learning · Computer Science 2012-10-19 Saeed Amizadeh , Bo Thiesson , Milos Hauskrecht

We study approaches for the exact solution of the \NP--hard minimum spanning tree problem under conflict constraints. Given a graph $G(V,E)$ and a set $C \subset E \times E$ of conflicting edge pairs, the problem consists of finding a…

Data Structures and Algorithms · Computer Science 2014-07-01 Phillippe Samer , Sebastián Urrutia

Time series classification is an important data mining task that has received a lot of interest in the past two decades. Due to the label scarcity in practice, semi-supervised time series classification with only a few labeled samples has…

Machine Learning · Computer Science 2023-09-08 Wenjie Xi , Arnav Jain , Li Zhang , Jessica Lin

Stochastic neural net weights are used in a variety of contexts, including regularization, Bayesian neural nets, exploration in reinforcement learning, and evolution strategies. Unfortunately, due to the large number of weights, all the…

Machine Learning · Computer Science 2018-04-03 Yeming Wen , Paul Vicol , Jimmy Ba , Dustin Tran , Roger Grosse

The emergence of massive graph data sets requires fast mining algorithms. Centrality measures to identify important vertices belong to the most popular analysis methods in graph mining. A measure that is gaining attention is forest…

Data Structures and Algorithms · Computer Science 2021-01-18 Alexander van der Grinten , Eugenio Angriman , Maria Predari , Henning Meyerhenke

Graph similarity search has received considerable attention in many applications, such as bioinformatics, data mining, pattern recognition, and social networks. Existing methods for this problem have limited scalability because of the huge…

Databases · Computer Science 2016-12-30 Xiaoyang Chen , Hongwei Huo , Jun Huan , Jeffrey Scott Vitter

We study the problem of dynamically maintaining the connected components of an undirected graph subject to edge insertions and deletions. We give the first parallel algorithm for the problem which is work-efficient, supports batches of…

Data Structures and Algorithms · Computer Science 2024-11-19 Quinten De Man , Laxman Dhulipala , Adam Karczmarz , Jakub Łącki , Julian Shun , Zhongqi Wang

In entanglement distribution networks, communication between two nodes necessitates the generation of end-to-end entanglement by entanglement swapping at intermediate nodes. Efficiently creating end-to-end entanglements over long distances…

Networking and Internet Architecture · Computer Science 2024-10-11 Zebo Yang , Ali Ghubaish , Raj Jain , Ramana Kompella , Hassan Shapourian