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Graph representation learning is to learn universal node representations that preserve both node attributes and structural information. The derived node representations can be used to serve various downstream tasks, such as node…

Machine Learning · Computer Science 2020-11-16 Yuxiang Ren , Bo Liu , Chao Huang , Peng Dai , Liefeng Bo , Jiawei Zhang

We present a new graph compressor that works by recursively detecting repeated substructures and representing them through grammar rules. We show that for a large number of graphs the compressor obtains smaller representations than other…

Data Structures and Algorithms · Computer Science 2017-04-19 Sebastian Maneth , Fabian Peternek

Graph embeddings, wherein the nodes of the graph are represented by points in a continuous space, are used in a broad range of Graph ML applications. The quality of such embeddings crucially depends on whether the geometry of the space…

Machine Learning · Statistics 2022-02-03 Francesco Di Giovanni , Giulia Luise , Michael Bronstein

We analyze a random projection method for adjacency matrices, studying its utility in representing sparse graphs. We show that these random projections retain the functionality of their underlying adjacency matrices while having extra…

Data Structures and Algorithms · Computer Science 2023-09-06 Frank Qiu

Graphs are often used to organize data because of their simple topological structure, and therefore play a key role in machine learning. And it turns out that the low-dimensional embedded representation obtained by graph representation…

Machine Learning · Computer Science 2021-01-05 Xing Li , Wei Wei , Xiangnan Feng , Zhiming Zheng

Graphs are a natural abstraction for many problems where nodes represent entities and edges represent a relationship across entities. An important area of research that has emerged over the last decade is the use of graphs as a vehicle for…

As massive graphs become more prevalent, there is a rapidly growing need for scalable algorithms that solve classical graph problems, such as maximum matching and minimum vertex cover, on large datasets. For massive inputs, several…

Data Structures and Algorithms · Computer Science 2018-12-31 Sepehr Assadi , MohammadHossein Bateni , Aaron Bernstein , Vahab Mirrokni , Cliff Stein

Embedding large graphs in low dimensional spaces has recently attracted significant interest due to its wide applications such as graph visualization, link prediction and node classification. Existing methods focus on computing the…

Social and Information Networks · Computer Science 2018-05-30 Palash Goyal , Nitin Kamra , Xinran He , Yan Liu

Graph based representation is widely used in visual tracking field by finding correct correspondences between target parts in consecutive frames. However, most graph based trackers consider pairwise geometric relations between local parts.…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Dawei Du , Honggang Qi , Longyin Wen , Qi Tian , Qingming Huang , Siwei Lyu

Graph representation learning embeds nodes in large graphs as low-dimensional vectors and is of great benefit to many downstream applications. Most embedding frameworks, however, are inherently transductive and unable to generalize to…

Machine Learning · Computer Science 2020-02-27 Huiling Zhu , Xin Luo , Hankz Hankui Zhuo

Recent research has shown that alignment between the structure of graph data and the geometry of an embedding space is crucial for learning high-quality representations of the data. The uniform geometry of Euclidean and hyperbolic spaces…

Machine Learning · Computer Science 2023-06-27 Wei Zhao , Federico Lopez , J. Maxwell Riestenberg , Michael Strube , Diaaeldin Taha , Steve Trettel

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

Learning graph representations is a fundamental task aimed at capturing various properties of graphs in vector space. The most recent methods learn such representations for static networks. However, real world networks evolve over time and…

Social and Information Networks · Computer Science 2019-08-22 Palash Goyal , Sujit Rokka Chhetri , Arquimedes Canedo

The performance analytics domain in High Performance Computing (HPC) uses tabular data to solve regression problems, such as predicting the execution time. Existing Machine Learning (ML) techniques leverage the correlations among features…

Machine Learning · Computer Science 2024-01-22 Tarek Ramadan , Ankur Lahiry , Tanzima Z. Islam

Representation learning on graphs is a fundamental problem that can be crucial in various tasks. Graph neural networks, the dominant approach for graph representation learning, are limited in their representation power. Therefore, it can be…

Machine Learning · Computer Science 2025-01-17 Zuoyu Yan , Qi Zhao , Ze Ye , Tengfei Ma , Liangcai Gao , Zhi Tang , Yusu Wang , Chao Chen

We are living in a world which is getting more and more interconnected and, as physiological effect, the interaction between the entities produces more and more information. This high throughput generation calls for techniques able to…

Data Structures and Algorithms · Computer Science 2018-12-17 Francesco Pelosin

Graph representation learning has made major strides over the past decade. However, in many relational domains, the input data are not suited for simple graph representations as the relationships between entities go beyond pairwise…

Machine Learning · Computer Science 2021-01-20 Balasubramaniam Srinivasan , Da Zheng , George Karypis

Graph classification is a significant problem in many scientific domains. It addresses tasks such as the classification of proteins and chemical compounds into categories according to their functions, or chemical and structural properties.…

Machine Learning · Computer Science 2019-02-25 Marcelo Daniel Gutierrez Mallea , Peter Meltzer , Peter J Bentley

Density based representations of atomic environments that are invariant under Euclidean symmetries have become a widely used tool in the machine learning of interatomic potentials, broader data-driven atomistic modelling and the…

Node2vec is a graph embedding method that learns a vector representation for each node of a weighted graph while seeking to preserve relative proximity and global structure. Numerical experiments suggest Node2vec struggles to recreate the…

Machine Learning · Statistics 2023-09-18 Yasuaki Hiraoka , Yusuke Imoto , Killian Meehan , Théo Lacombe , Toshiaki Yachimura