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Most graphs in real life keep changing with time. These changes can be in the form of insertion or deletion of edges or vertices. Such rapidly changing graphs motivate us to study dynamic graph algorithms. However, three important graph…

Data Structures and Algorithms · Computer Science 2018-08-07 Manoj Gupta , Shahbaz Khan

Given a directed graph $G$ and integers $k$ and $l$, a D-core is the maximal subgraph $H \subseteq G$ such that for every vertex of $H$, its in-degree and out-degree are no smaller than $k$ and $l$, respectively. For a directed graph $G$,…

Databases · Computer Science 2022-02-15 Xuankun Liao , Qing Liu , Jiaxin Jiang , Xin Huang , Jianliang Xu , Byron Choi

We revisit the recent polynomial-time algorithm for the MAX WEIGHT INDEPENDENT SET (MWIS) problem in bounded-degree graphs that do not contain a fixed graph whose every component is a subdivided claw as an induced subgraph [Abrishami,…

Data Structures and Algorithms · Computer Science 2024-01-15 Tara Abrishami , Maria Chudnovsky , Cemil Dibek , Marcin Pilipczuk , Paweł Rzążewski

With the current burst of network theory (especially in connection with social and biological networks) there is a renewed interest on realizations of given degree sequences. In this paper we propose an essentially new degree sequence…

Combinatorics · Mathematics 2015-07-14 Péter L. Erdös , Sándor Z. Kiss , István Miklós , Lajos Soukup

We propose a new framework for computing the embeddings of large-scale graphs on a single machine. A graph embedding is a fixed length vector representation for each node (and/or edge-type) in a graph and has emerged as the de-facto…

Machine Learning · Computer Science 2021-05-27 Jason Mohoney , Roger Waleffe , Yiheng Xu , Theodoros Rekatsinas , Shivaram Venkataraman

Hypergraph partitioning has a wide range of important applications such as VLSI design or scientific computing. With focus on solution quality, we develop the first multilevel memetic algorithm to tackle the problem. Key components of our…

Data Structures and Algorithms · Computer Science 2018-02-06 Robin Andre , Sebastian Schlag , Christian Schulz

Data-intensive, graph-based computations are pervasive in several scientific applications, and are known to to be quite challenging to implement on distributed memory systems. In this work, we explore the design space of parallel algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-10-17 Aydin Buluc , Kamesh Madduri

We propose HAMSI (Hessian Approximated Multiple Subsets Iteration), which is a provably convergent, second order incremental algorithm for solving large-scale partially separable optimization problems. The algorithm is based on a local…

This study develops a graph search algorithm to find the optimal discrimination path for the binary classification problem. The objective function is defined as the difference of variations between the true positive (TP) and false positive…

Machine Learning · Computer Science 2024-01-10 Qinwu Xu

Gradient-based hyperparameter optimization has earned a widespread popularity in the context of few-shot meta-learning, but remains broadly impractical for tasks with long horizons (many gradient steps), due to memory scaling and gradient…

Machine Learning · Computer Science 2021-10-01 Paul Micaelli , Amos Storkey

The field of dynamic graph algorithms aims at achieving a thorough understanding of real-world networks whose topology evolves with time. Traditionally, the focus has been on the classic sequential, centralized setting where the main…

Data Structures and Algorithms · Computer Science 2021-09-23 Shiri Antaki , Quanquan C. Liu , Shay Solomon

Best match graphs (BMGs) are a class of colored digraphs that naturally appear in mathematical phylogenetics and can be approximated with the help of similarity measures between gene sequences, albeit not without errors. The corresponding…

Combinatorics · Mathematics 2021-03-15 David Schaller , Manuela Geiß , Marc Hellmuth , Peter F. Stadler

Graph partitioning is a key fundamental problem in the area of big graph computation. Previous works do not consider the practical requirements when optimizing the big data analysis in real applications. In this paper, motivated by…

Databases · Computer Science 2024-04-10 Baoling Ning , Jianzhong Li

We introduce a novel method to compute a rank $m$ approximation of the inverse of the Hessian matrix in the distributed regime. By leveraging the differences in gradients and parameters of multiple Workers, we are able to efficiently…

Machine Learning · Computer Science 2017-09-18 Sébastien M. R. Arnold , Chunming Wang

Graph-cuts are widely used in computer vision. In order to speed up the optimization process and improve the scalability for large graphs, Strandmark and Kahl introduced a splitting method to split a graph into multiple subgraphs for…

Data Structures and Algorithms · Computer Science 2016-11-03 Miao Yu , Shuhan Shen , Zhanyi Hu

We design and implement a distributed algorithm for balanced $k$-way hypergraph partitioning that minimizes fanout, a fundamental hypergraph quantity also known as the communication volume and ($k-1$)-cut metric, by optimizing a novel…

Data Structures and Algorithms · Computer Science 2017-07-24 Igor Kabiljo , Brian Karrer , Mayank Pundir , Sergey Pupyrev , Alon Shalita , Alessandro Presta , Yaroslav Akhremtsev

Matrix factorization (MF) discovers latent features from observations, which has shown great promises in the fields of collaborative filtering, data compression, feature extraction, word embedding, etc. While many problem-specific…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-14 Wei Tan , Shiyu Chang , Liana Fong , Cheng Li , Zijun Wang , Liangliang Cao

Depth-first search (DFS) is the basis for many efficient graph algorithms. We introduce general techniques for the efficient implementation of DFS-based graph algorithms and exemplify them on three algorithms for computing strongly…

Data Structures and Algorithms · Computer Science 2017-03-30 Kurt Mehlhorn , Stefan Näher , Peter Sanders

Influence maximization in complex networks, i.e., maximizing the size of influenced nodes via selecting K seed nodes for a given spreading process, has attracted great attention in recent years. However, the influence maximization problem…

Social and Information Networks · Computer Science 2022-06-06 Ming Xie , Xiu-Xiu Zhan , Chuang Liu , Zi-Ke Zhang

This paper proposes a novel semi-self sensing hybrid reconfigurable intelligent surface (SS-HRIS) in terahertz (THz) bands, where the RIS is equipped with reflecting elements divided between passive and active elements in addition to…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Sara Farrag Mobarak , Tingnan Bao , Melike Erol-Kantarci