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Sparsity-constrained optimization is an important and challenging problem that has wide applicability in data mining, machine learning, and statistics. In this paper, we focus on sparsity-constrained optimization in cases where the cost…

Machine Learning · Computer Science 2016-12-19 Feng Chen , Baojian Zhou

Graph Neural Networks (GNNs) are a computationally efficient method to learn embeddings and classifications on graph data. However, GNN training has low computational intensity, making communication costs the bottleneck for scalability.…

Machine Learning · Computer Science 2025-04-08 Ujjaini Mukhodopadhyay , Alok Tripathy , Oguz Selvitopi , Katherine Yelick , Aydin Buluc

Modelling long-range dependencies is critical for scene understanding tasks in computer vision. Although CNNs have excelled in many vision tasks, they are still limited in capturing long-range structured relationships as they typically…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 Li Zhang , Dan Xu , Anurag Arnab , Philip H. S. Torr

Structured sparse optimization is an important and challenging problem for analyzing high-dimensional data in a variety of applications such as bioinformatics, medical imaging, social networks, and astronomy. Although a number of structured…

Artificial Intelligence · Computer Science 2016-10-03 Baojian Zhou , Feng Chen

Interpretable Multi-Task Learning can be expressed as learning a sparse graph of the task relationship based on the prediction performance of the learned models. Since many natural phenomenon exhibit sparse structures, enforcing sparsity on…

Machine Learning · Computer Science 2020-09-14 Francesco Alesiani , Shujian Yu , Ammar Shaker , Wenzhe Yin

Tracking and approximating data matrices in streaming fashion is a fundamental challenge. The problem requires more care and attention when data comes from multiple distributed sites, each receiving a stream of data. This paper considers…

Databases · Computer Science 2014-05-01 Mina Ghashami , Jeff M. Phillips , Feifei Li

The dynamic scaling of distributed computations plays an important role in the utilization of elastic computational resources, such as the cloud. It enables the provisioning and de-provisioning of resources to match dynamic resource…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-19 Masatoshi Hanai , Nikos Tziritas , Toyotaro Suzumura , Wentong Cai , Georgios Theodoropoulos

Higher-order connectivity patterns such as small induced sub-graphs called graphlets (network motifs) are vital to understand the important components (modules/functional units) governing the configuration and behavior of complex networks.…

Social and Information Networks · Computer Science 2020-09-15 Aldo G. Carranza , Ryan A. Rossi , Anup Rao , Eunyee Koh

For compressed sensing over arbitrarily connected networks, we consider the problem of estimating underlying sparse signals in a distributed manner. We introduce a new signal model that helps to describe inter-signal correlation among…

Information Theory · Computer Science 2013-10-29 Dennis Sundman , Saikat Chatterjee , Mikael Skoglund

This paper is concerned with the problem of low rank plus sparse matrix decomposition for big data. Conventional algorithms for matrix decomposition use the entire data to extract the low-rank and sparse components, and are based on…

Numerical Analysis · Computer Science 2017-03-17 Mostafa Rahmani , George Atia

Graph decompositions are the natural generalisation of tree decompositions where the decomposition tree is replaced by a genuine graph. Recently they found theoretical applications in the theory of sparsity, topological graph theory,…

Discrete Mathematics · Computer Science 2023-12-20 Johannes Carmesin , Sarah Frenkel

Direct collocation methods are widely used numerical techniques for solving optimal control problems. The discretization of continuous-time optimal control problems transforms them into large-scale nonlinear programming problems, which…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Yilin Zou , Fanghua Jiang

Understanding how a vertex relates to a set of vertices is a fundamental task in graph analysis. Given a graph $G$ and a vertex set $X \subseteq V(G)$, consider the collection of subsets of the form $N(u) \cap X$ where $u$ ranges over all…

Data Structures and Algorithms · Computer Science 2025-12-01 Christine Awofeso , Pål Grønås Drange , Patrick Greaves , Oded Lachish , Felix Reidl

We study online graph queries that retrieve nearby nodes of a query node from a large network. To answer such queries with high throughput and low latency, we partition the graph and process the data in parallel across a cluster of servers.…

Databases · Computer Science 2017-10-17 Arijit Khan , Gustavo Segovia , Donald Kossmann

We present a family of distributed forward-backward methods with variable stepsizes to find a solution of structured monotone inclusion problems. The framework is constructed by means of relocated fixed-point iterations, extending the…

Optimization and Control · Mathematics 2026-01-23 Felipe Atenas , Minh N. Dao , Matthew K. Tam

Graph Neural Networks (GNN) are indispensable in learning from graph-structured data, yet their rising computational costs, especially on massively connected graphs, pose significant challenges in terms of execution performance. To tackle…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-05 Aishwarya Sarkar , Sayan Ghosh , Nathan R. Tallent , Ali Jannesari

We propose a novel subgraph image representation for classification of network fragments with the targets being their parent networks. The graph image representation is based on 2D image embeddings of adjacency matrices. We use this image…

Computer Vision and Pattern Recognition · Computer Science 2018-04-18 Kshiteesh Hegde , Malik Magdon-Ismail , Ram Ramanathan , Bishal Thapa

We propose to transfer representational knowledge from multiple sources to a target noisy matrix completion task by aggregating singular subspaces information. Under our representational similarity framework, we first integrate linear…

Machine Learning · Statistics 2024-12-10 Yong He , Zeyu Li , Dong Liu , Kangxiang Qin , Jiahui Xie

Hypergraphs, increasingly utilised for modelling complex and diverse relationships in modern networks, gain much attention representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery is one of the…

Social and Information Networks · Computer Science 2025-12-30 Song Kim , Dahee Kim , Taejoon Han , Junghoon Kim , Hyun Ji Jeong , Jungeun Kim

Graph transformers have emerged as a promising architecture for a variety of graph learning and representation tasks. Despite their successes, though, it remains challenging to scale graph transformers to large graphs while maintaining…

Machine Learning · Computer Science 2023-07-25 Hamed Shirzad , Ameya Velingker , Balaji Venkatachalam , Danica J. Sutherland , Ali Kemal Sinop