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Many multivariate data such as social and biological data exhibit complex dependencies that are best characterized by graphs. Unlike sequential data, graphs are, in general, unordered structures. This means we can no longer use classic,…

Information Theory · Computer Science 2021-10-05 Mojtaba Abolfazli , Anders Host-Madsen , June Zhang , Andras Bratincsak

Many datasets take the form of a bipartite graph where two types of nodes are connected by relationships, like the movies watched by a user or the tags associated with a file. The partitioning of the bipartite graph could be used to fasten…

Information Retrieval · Computer Science 2021-10-01 Gaëlle Candel , David Naccache

Processing very large graphs like social networks, biological and chemical compounds is a challenging task. Distributed graph processing systems process the billion-scale graphs efficiently but incur overheads of efficient partitioning and…

Data Structures and Algorithms · Computer Science 2014-01-13 Kamran Najeebullah , Kifayat Ullah Khan , Waqas Nawaz , Young-Koo Lee

Graphs are ubiquitous data structures for representing interactions between entities. With an emphasis on the use of graphs to represent chemical molecules, we explore the task of learning to generate graphs that conform to a distribution…

Machine Learning · Computer Science 2019-03-08 Qi Liu , Miltiadis Allamanis , Marc Brockschmidt , Alexander L. Gaunt

Given a massive graph, how can we exploit its hierarchical structure for concisely but exactly summarizing the graph? By exploiting the structure, can we achieve better compression rates than state-of-the-art graph summarization methods?…

Databases · Computer Science 2021-12-13 Kyuhan Lee , Jihoon Ko , Kijung Shin

This paper describes substantial advances in the analysis (parsing) of diagrams using constraint grammars. The addition of set types to the grammar and spatial indexing of the data make it possible to efficiently parse real diagrams of…

cmp-lg · Computer Science 2008-02-03 Robert P. Futrelle , Nikos Nikolakis

Compression algorithms are important for data oriented tasks, especially in the era of Big Data. Modern processors equipped with powerful SIMD instruction sets, provide us an opportunity for achieving better compression performance.…

Information Retrieval · Computer Science 2015-04-15 Wayne Xin Zhao , Xudong Zhang , Daniel Lemire , Dongdong Shan , Jian-Yun Nie , Hongfei Yan , Ji-Rong Wen

It plays a fundamental role to compactly represent the visual information towards the optimization of the ultimate utility in myriad visual data centered applications. With numerous approaches proposed to efficiently compress the texture…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Shurun Wang , Shiqi Wang , Wenhan Yang , Xinfeng Zhang , Shanshe Wang , Siwei Ma , Wen Gao

As implied by the plethora of literature on graph rewiring, the choice of computational graph employed by a neural network can make a significant impact on its downstream performance. Certain effects related to the computational graph, such…

Machine Learning · Computer Science 2025-06-03 Alex Vitvitskyi , João G. M. Araújo , Marc Lackenby , Petar Veličković

Via the process of isospectral graph reduction the adjacency matrix of a graph can be reduced to a smaller matrix while its spectrum is preserved up to some known set. It is then possible to estimate the spectrum of the original matrix by…

Spectral Theory · Mathematics 2015-03-13 L. A. Bunimovich , B. Z. Webb

The present work deals with active sampling of graph nodes representing training data for binary classification. The graph may be given or constructed using similarity measures among nodal features. Leveraging the graph for classification…

Machine Learning · Statistics 2018-10-17 Dimitris Berberidis , Georgios B. Giannakis

The biggest cost of computing with large matrices in any modern computer is related to memory latency and bandwidth. The average latency of modern RAM reads is 150 times greater than a clock step of the processor. Throughput is a little…

Data Structures and Algorithms · Computer Science 2013-03-04 Crysttian Arantes Paixão , Flávio Codeço Coelho

Graph Neural Networks (GNNs) are effective for processing graph-structured data but face challenges with large graphs due to high memory requirements and inefficient sparse matrix operations on GPUs. Quantum Computing (QC) offers a…

Machine Learning · Computer Science 2025-11-04 Mikel Casals , Vasilis Belis , Elias F. Combarro , Eduard Alarcón , Sofia Vallecorsa , Michele Grossi

Graph Neural Networks (GNNs) have demonstrated remarkable results in various real-world applications, including drug discovery, object detection, social media analysis, recommender systems, and text classification. In contrast to their vast…

Machine Learning · Computer Science 2026-02-04 Nícolas Roque dos Santos , Dawon Ahn , Diego Minatel , Alneu de Andrade Lopes , Evangelos E. Papalexakis

In contrast to time series, graphical data is data indexed by the vertices and edges of a graph. Modern applications such as the internet, social networks, genomics and proteomics generate graphical data, often at large scale. The large…

Information Theory · Computer Science 2021-08-24 Payam Delgosha , Venkat Anantharam

Many data types arising from data mining applications can be modeled as bipartite graphs, examples include terms and documents in a text corpus, customers and purchasing items in market basket analysis and reviewers and movies in a movie…

Information Retrieval · Computer Science 2007-05-23 H. Zha , X. He , C. Ding , M. Gu , H. Simon

Bipartite graph embedding (BGE) maps nodes to compressed embedding vectors that can reflect the hidden topological features of the network, and learning high-quality BGE is crucial for facilitating downstream applications such as…

Social and Information Networks · Computer Science 2024-10-15 Shanfan Zhang , Yongyi Lin , Yuan Rao , Zhan Bu

The connection between certain entangled states and graphs has been heavily studied in the context of measurement-based quantum computation as a tool for understanding entanglement. Here we show that this correspondence can be harnessed in…

Quantum Physics · Physics 2016-03-23 Liming Zhao , Carlos A. Pérez-Delgado , Joseph F. Fitzsimons

Vector quantization(VQ) is a lossy data compression technique from signal processing for which simple competitive learning is one standard method to quantize patterns from the input space. Extending competitive learning VQ to the domain of…

Computer Vision and Pattern Recognition · Computer Science 2010-01-07 Brijnesh J. Jain , Klaus Obermayer

Deep neural networks have achieved increasingly accurate results on a wide variety of complex tasks. However, much of this improvement is due to the growing use and availability of computational resources (e.g use of GPUs, more layers, more…

Machine Learning · Computer Science 2018-08-03 Ini Oguntola , Subby Olubeko , Christopher Sweeney