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Finding a new mathematical representations for graph, which allows direct comparison between different graph structures, is an open-ended research direction. Having such a representation is the first prerequisite for a variety of machine…

Methodology · Statistics 2014-04-21 Anshumali Shrivastava , Ping Li

Graph-based approximate nearest neighbor search has attracted more and more attentions due to its online search advantages. Numbers of methods studying the enhancement of speed and recall have been put forward. However, few of them focus on…

Information Retrieval · Computer Science 2021-02-10 Kang Zhao , Pan Pan , Yun Zheng , Yanhao Zhang , Changxu Wang , Yingya Zhang , Yinghui Xu , Rong Jin

The computation of distance measures between nodes in graphs is inefficient and does not scale to large graphs. We explore dense vector representations as an effective way to approximate the same information: we introduce a simple yet…

Computation and Language · Computer Science 2019-06-18 Andrey Kutuzov , Mohammad Dorgham , Oleksiy Oliynyk , Chris Biemann , Alexander Panchenko

Graph Neural Networks (GNNs) have achieved tremendous success in graph representation learning. Unfortunately, current GNNs usually rely on loading the entire attributed graph into network for processing. This implicit assumption may not be…

Machine Learning · Computer Science 2022-02-15 Junfu Wang , Yunhong Wang , Zhen Yang , Liang Yang , Yuanfang Guo

Like [1], we present an algorithm to compute the simulation of a query pattern in a graph of labeled nodes and unlabeled edges. However, our algorithm works on a compressed graph grammar, instead of on the original graph. The speed-up of…

Data Structures and Algorithms · Computer Science 2020-01-15 Stefan Böttcher , Rita Hartel , Sven Peeters

We introduce graph wedgelets - a tool for data compression on graphs based on the representation of signals by piecewise constant functions on adaptively generated binary graph partitionings. The adaptivity of the partitionings, a key…

Signal Processing · Electrical Eng. & Systems 2022-11-28 Wolfgang Erb

Nowadays, data is represented by vectors. Retrieving those vectors, among millions and billions, that are similar to a given query is a ubiquitous problem, known as similarity search, of relevance for a wide range of applications.…

Machine Learning · Computer Science 2023-07-26 Cecilia Aguerrebere , Ishwar Bhati , Mark Hildebrand , Mariano Tepper , Ted Willke

The metric dimension is quite a well-studied graph parameter. Recently, the adjacency metric dimension and the local metric dimension have been introduced. We combine these variants and introduce the local adjacency metric dimension. We…

Combinatorics · Mathematics 2013-10-15 Juan A. Rodríguez-Velázquez , Henning Fernau

To deploy machine learning models on-device, practitioners use compression algorithms to shrink and speed up models while maintaining their high-quality output. A critical aspect of compression in practice is model comparison, including…

Human-Computer Interaction · Computer Science 2025-01-27 Angie Boggust , Venkatesh Sivaraman , Yannick Assogba , Donghao Ren , Dominik Moritz , Fred Hohman

Graph condensation reduces the size of large graphs while preserving performance, addressing the scalability challenges of Graph Neural Networks caused by computational inefficiencies on large datasets. Existing methods often rely on…

Machine Learning · Computer Science 2025-10-10 Lin Wang , Qing Li

Just as semantic hashing can accelerate information retrieval, binary valued embeddings can significantly reduce latency in the retrieval of graphical data. We introduce a simple but effective model for learning such binary vectors for…

Machine Learning · Computer Science 2018-03-28 Vinith Misra , Sumit Bhatia

In this paper we raise the question of how to compress sparse graphs. By introducing the idea of redundancy, we find a way to measure the overlap of neighbors between nodes in networks. We exploit symmetry and information by making use of…

Statistical Mechanics · Physics 2015-04-01 Jie Sun , Erik M. Bollt , Daniel ben-Avraham

A novel inline data compression method is presented for single-precision vectors in three dimensions. The primary application of the method is for accelerating computational physics calculations where the throughput is bound by memory…

Computational Engineering, Finance, and Science · Computer Science 2020-06-25 Will Trojak , Freddie Witherden

Graph embedding has become an increasingly important technique for analyzing graph-structured data. By representing nodes in a graph as vectors in a low-dimensional space, graph embedding enables efficient graph processing and analysis…

Machine Learning · Computer Science 2023-09-13 Hamidreza Lotfalizadeh , Mohammad Al Hasan

In this paper we introduce compressed commuting graph of rings. It can be seen as a compression of the standard commuting graph (with the central elements added) where we identify the vertices that generate the same subring. The compression…

Rings and Algebras · Mathematics 2024-11-12 Ivan-Vanja Boroja , Hamid Reza Dorbidi , Damjana Kokol Bukovšek , Nik Stopar

Motivated by the prevalent data science applications of processing large-scale graph data such as social networks and biological networks, this paper investigates lossless compression of data in the form of a labeled graph. Particularly, we…

Information Theory · Computer Science 2024-05-24 Alankrita Bhatt , Ziao Wang , Chi Wang , Lele Wang

Graphs are used to model interactions in a variety of contexts, and there is a growing need to quickly assess the structure of such graphs. Some of the most useful graph metrics are based on triangles, such as those measuring social…

Social and Information Networks · Computer Science 2014-10-21 C. Seshadhri , Ali Pinar , Tamara G. Kolda

In this paper we propose a lightning fast graph embedding method called one-hot graph encoder embedding. It has a linear computational complexity and the capacity to process billions of edges within minutes on standard PC -- making it an…

Machine Learning · Computer Science 2024-06-27 Cencheng Shen , Qizhe Wang , Carey E. Priebe

As graph-structured data grow increasingly large, evaluating their robustness under adversarial attacks becomes computationally expensive and difficult to scale. To address this challenge, we propose to compress graphs into compact…

Machine Learning · Computer Science 2025-11-26 Qisen Chai , Yansong Wang , Junjie Huang , Tao Jia

Graphs are found in a plethora of domains, including online social networks, the World Wide Web and the study of epidemics, to name a few. With the advent of greater volumes of information and the need for continuously updated results under…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-19 Miguel E. Coimbra , Sérgio Esteves , Alexandre P. Francisco , Luís Veiga