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Graph is a useful data structure to model various real life aspects like email communications, co-authorship among researchers, interactions among chemical compounds, and so on. Supporting such real life interactions produce a knowledge…

Data Structures and Algorithms · Computer Science 2016-11-11 Kifayat Ullah Khan , Waqas Nawaz , Young-Koo Lee

Graph representation learning has many real-world applications, from super-resolution imaging, 3D computer vision to drug repurposing, protein classification, social networks analysis. An adequate representation of graph data is vital to…

Machine Learning · Computer Science 2021-12-17 Xuebin Zheng , Bingxin Zhou , Yu Guang Wang , Xiaosheng Zhuang

Graph signal processing is a framework to handle graph structured data. The fundamental concept is graph shift operator, giving rise to the graph Fourier transform. While the graph Fourier transform is a centralized procedure, distributed…

Signal Processing · Electrical Eng. & Systems 2022-06-10 Feng Ji , Yiqi Lu , Wee Peng Tay , Edwin Chong

Knowledge graphs contain rich relational structures of the world, and thus complement data-driven machine learning in heterogeneous data. One of the most effective methods in representing knowledge graphs is to embed symbolic relations and…

Artificial Intelligence · Computer Science 2018-01-29 Kien Do , Truyen Tran , Svetha Venkatesh

Graph embedding aims at learning a vector-based representation of vertices that incorporates the structure of the graph. This representation then enables inference of graph properties. Existing graph embedding techniques, however, do not…

Modeling information that resides on vertices of large graphs is a key problem in several real-life applications, ranging from social networks to the Internet-of-things. Signal Processing on Graphs and, in particular, graph wavelets can…

Data Structures and Algorithms · Computer Science 2016-06-14 Arlei Silva , Xuan-Hong Dang , Prithwish Basu , Ambuj K Singh , Ananthram Swami

Recent advances in representation learning on graphs, mainly leveraging graph convolutional networks, have brought a substantial improvement on many graph-based benchmark tasks. While novel approaches to learning node embeddings are highly…

Machine Learning · Statistics 2018-11-06 Cătălina Cangea , Petar Veličković , Nikola Jovanović , Thomas Kipf , Pietro Liò

Graph is a ubiquitous representation of data in various research fields, and graph embedding is a prevalent machine learning technique for capturing key features and generating fixed-sized attributes. However, most state-of-the-art graph…

Machine Learning · Computer Science 2024-10-10 Xihan Qin , Cencheng Shen

Approximating field variables and data vectors from sparse samples is a key challenge in computational science. Widely used methods such as gappy proper orthogonal decomposition and empirical interpolation rely on linear approximation…

Numerical Analysis · Mathematics 2024-12-16 Paul Schwerdtner , Serkan Gugercin , Benjamin Peherstorfer

We propose a fine-grained hypergraph model for sparse matrix-matrix multiplication (SpGEMM), a key computational kernel in scientific computing and data analysis whose performance is often communication bound. This model correctly describes…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-18 Grey Ballard , Alex Druinsky , Nicholas Knight , Oded Schwartz

With the increasing development of neuromorphic platforms and their related software tools as well as the increasing scale of spiking neural network (SNN) models, there is a pressure for interoperable and scalable representations of network…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-13 Felix Wang

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2014-08-12 Yucheng Low , Joseph E. Gonzalez , Aapo Kyrola , Danny Bickson , Carlos E. Guestrin , Joseph Hellerstein

Large Transformer models yield impressive results on many tasks, but are expensive to train, or even fine-tune, and so slow at decoding that their use and study becomes out of reach. We address this problem by leveraging sparsity. We study…

Large-scale networked systems typically operate under resource constraints, and it is also difficult to exactly obtain the network structure between nodes. To address these issues, this paper investigates a sparse optimal control for…

Optimization and Control · Mathematics 2025-07-25 Takuya Ikeda , Masaaki Nagahara

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2010-06-28 Yucheng Low , Joseph Gonzalez , Aapo Kyrola , Danny Bickson , Carlos Guestrin , Joseph M. Hellerstein

In the last decade, subgraph detection and enumeration have emerged as a central problem in distributed graph algorithms. This is largely due to the theoretical challenges and practical applications of these problems. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-23 Duncan Adamson , Will Rosenbaum , Paul G. Spirakis

This work deals with the generation of theoretical correlation matrices with specific sparsity patterns, associated to graph structures. We present a novel approach based on convex optimization, offering greater flexibility compared to…

Signal Processing · Electrical Eng. & Systems 2025-09-03 Ali Fahkar , Kévin Polisano , Irène Gannaz , Sophie Achard

We consider designing a robust structured sparse sensing matrix consisting of a sparse matrix with a few non-zero entries per row and a dense base matrix for capturing signals efficiently We design the robust structured sparse sensing…

Signal Processing · Electrical Eng. & Systems 2019-02-06 Tao Hong , Xiao Li , Zhihui Zhu , Qiuwei Li

Statistical network modeling has focused on representing the graph as a discrete structure, namely the adjacency matrix, and considering the exchangeability of this array. In such cases, the Aldous-Hoover representation theorem (Aldous,…

Methodology · Statistics 2025-02-06 François Caron , Emily B. Fox

We propose a novel statistical model for sparse networks with overlapping community structure. The model is based on representing the graph as an exchangeable point process, and naturally generalizes existing probabilistic models with…

Methodology · Statistics 2025-02-06 Adrien Todeschini , Xenia Miscouridou , François Caron
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