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There has been an intense recent activity in embedding of very high dimensional and nonlinear data structures, much of it in the data science and machine learning literature. We survey this activity in four parts. In the first part we cover…

Machine Learning · Statistics 2022-09-01 Dag Tjøstheim , Martin Jullum , Anders Løland

Graph embeddings have emerged as a powerful tool for representing complex network structures in a low-dimensional space, enabling the use of efficient methods that employ the metric structure in the embedding space as a proxy for the…

Social and Information Networks · Computer Science 2024-04-18 Radosław Nowak , Adam Małkowski , Daniel Cieślak , Piotr Sokół , Paweł Wawrzyński

The recent proliferation of publicly available graph-structured data has sparked an interest in machine learning algorithms for graph data. Since most traditional machine learning algorithms assume data to be tabular, embedding algorithms…

Machine Learning · Computer Science 2019-08-09 Sourav Mukherjee , Tim Oates , Ryan Wright

With the increasing availability of high-dimensional data, analysts often rely on exploratory data analysis to understand complex data sets. A key approach to exploring such data is dimensionality reduction, which embeds high-dimensional…

Machine Learning · Computer Science 2024-12-17 Pavlin G. Poličar , Blaž Zupan

Visualization methods based on the nearest neighbor graph, such as t-SNE or UMAP, are widely used for visualizing high-dimensional data. Yet, these approaches only produce meaningful results if the nearest neighbors themselves are…

Machine Learning · Computer Science 2024-06-06 Jan Niklas Böhm , Philipp Berens , Dmitry Kobak

Graphs can be used to represent a wide variety of data belonging to different domains. Graphs can capture the relationship among data in an efficient way, and have been widely used. In recent times, with the advent of Big Data, there has…

Data Structures and Algorithms · Computer Science 2018-06-06 Rushabh Jitendrakumar Shah

Graph-based methods are known to be successful in many machine learning and pattern classification tasks. These methods consider semi-structured data as graphs where nodes correspond to primitives (parts, interest points, segments, etc.)…

Computer Vision and Pattern Recognition · Computer Science 2019-01-01 Anjan Dutta , Hichem Sahbi

Effective data visualization is a key part of the discovery process in the era of big data. It is the bridge between the quantitative content of the data and human intuition, and thus an essential component of the scientific path from data…

Networks have been widely used as the data structure for abstracting real-world systems as well as organizing the relations among entities. Network embedding models are powerful tools in mapping nodes in a network into continuous…

Social and Information Networks · Computer Science 2019-05-28 Ninghao Liu , Qiaoyu Tan , Yuening Li , Hongxia Yang , Jingren Zhou , Xia Hu

This paper studies the problem of embedding very large information networks into low-dimensional vector spaces, which is useful in many tasks such as visualization, node classification, and link prediction. Most existing graph embedding…

Machine Learning · Computer Science 2015-03-13 Jian Tang , Meng Qu , Mingzhe Wang , Ming Zhang , Jun Yan , Qiaozhu Mei

The purpose of this paper is to outline a generalised model for representing hybrids of relational-categorical, symbolic, perceptual-sensory and perceptual-latent data, so as to embody, in the same architectural data layer, representations…

Machine Learning · Computer Science 2020-04-29 Bogdan Bocse , Ioan Radu Jinga

Embedding networks into a fixed dimensional feature space, while preserving its essential structural properties is a fundamental task in graph analytics. These feature vectors (graph descriptors) are used to measure the pairwise similarity…

Databases · Computer Science 2020-02-20 Zohair Raza Hassan , Mudassir Shabbir , Imdadullah Khan , Waseem Abbas

Recently, network embedding that encodes structural information of graphs into a vector space has become popular for network analysis. Although recent methods show promising performance for various applications, the huge sizes of graphs may…

Social and Information Networks · Computer Science 2019-07-18 Esra Akbas , Mehmet Aktas

In a real-world setting, visual recognition systems can be brought to make predictions for images belonging to previously unknown class labels. In order to make semantically meaningful predictions for such inputs, we propose a two-step…

Machine Learning · Computer Science 2017-08-29 Vincent P. A. Lonij , Ambrish Rawat , Maria-Irina Nicolae

How to extract useful insights from data is always a challenge, especially if the data is multidimensional. Often, the data can be organized according to certain hierarchical structure that are stemmed either from data collection process or…

Applications · Statistics 2016-04-21 Kun Yang , Wing Hung Wong

The advances in AI-enabled techniques have accelerated the creation and automation of visualizations in the past decade. However, presenting visualizations in a descriptive and generative format remains a challenge. Moreover, current…

Human-Computer Interaction · Computer Science 2024-03-28 Qing Chen , Ying Chen , Ruishi Zou , Wei Shuai , Yi Guo , Jiazhe Wang , Nan Cao

Graph embedding has become a key component of many data mining and analysis systems. Current graph embedding approaches either sample a large number of node pairs from a graph to learn node embeddings via stochastic optimization or…

Social and Information Networks · Computer Science 2019-12-20 Artem Lutov , Dingqi Yang , Philippe Cudré-Mauroux

We consider the problem of embedding unweighted, directed k-nearest neighbor graphs in low-dimensional Euclidean space. The k-nearest neighbors of each vertex provides ordinal information on the distances between points, but not the…

Machine Learning · Statistics 2015-11-06 Mihai Cucuringu , Joseph Woodworth

With the rising interest in graph representation learning, a variety of approaches have been proposed to effectively capture a graph's properties. While these approaches have improved performance in graph machine learning tasks compared to…

Machine Learning · Computer Science 2019-10-09 Antonia Gogoglou , C. Bayan Bruss , Keegan E. Hines

Feature extraction and dimension reduction for networks is critical in a wide variety of domains. Efficiently and accurately learning features for multiple graphs has important applications in statistical inference on graphs. We propose a…

Applications · Statistics 2021-06-23 Shangsi Wang , Jesús Arroyo , Joshua T. Vogelstein , Carey E. Priebe
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