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This paper investigates the theoretical foundations of the t-distributed stochastic neighbor embedding (t-SNE) algorithm, a popular nonlinear dimension reduction and data visualization method. A novel theoretical framework for the analysis…

Machine Learning · Statistics 2022-11-02 T. Tony Cai , Rong Ma

We introduce a nonlinear method for directly embedding large, sparse, stochastic graphs into low-dimensional spaces, without requiring vertex features to reside in, or be transformed into, a metric space. Graph data and models are prevalent…

Machine Learning · Computer Science 2019-06-14 Nikos Pitsianis , Alexandros-Stavros Iliopoulos , Dimitris Floros , Xiaobai Sun

We present GraphTSNE, a novel visualization technique for graph-structured data based on t-SNE. The growing interest in graph-structured data increases the importance of gaining human insight into such datasets by means of visualization.…

Machine Learning · Computer Science 2019-04-24 Yao Yang Leow , Thomas Laurent , Xavier Bresson

t-distributed Stochastic Neighborhood Embedding (t-SNE) is a method for dimensionality reduction and visualization that has become widely popular in recent years. Efficient implementations of t-SNE are available, but they scale poorly to…

Machine Learning · Computer Science 2019-02-26 George C. Linderman , Manas Rachh , Jeremy G. Hoskins , Stefan Steinerberger , Yuval Kluger

Dimensionality reduction is crucial both for visualization and preprocessing high dimensional data for machine learning. We introduce a novel method based on a hierarchy built on 1-nearest neighbor graphs in the original space which is used…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 M. Saquib Sarfraz , Marios Koulakis , Constantin Seibold , Rainer Stiefelhagen

Dimensionality reduction techniques aim at representing high-dimensional data in low-dimensional spaces to extract hidden and useful information or facilitate visual understanding and interpretation of the data. However, few of them take…

Machine Learning · Computer Science 2022-10-25 Yan Sun , Yi Han , Jicong Fan

Modern datasets and models are notoriously difficult to explore and analyze due to their inherent high dimensionality and massive numbers of samples. Existing visualization methods which employ dimensionality reduction to two or three…

Machine Learning · Computer Science 2018-08-01 David M. Chan , Roshan Rao , Forrest Huang , John F. Canny

The dimensionality reduction has been widely introduced to use the high-dimensional data for regression, classification, feature analysis, and visualization. As the one technique of dimensionality reduction, a stochastic neighbor embedding…

Computer Vision and Pattern Recognition · Computer Science 2020-12-03 Motoshi Abe , Junichi Miyao , Takio Kurita

The t-distributed Stochastic Neighbor Embedding (tSNE) algorithm has become in recent years one of the most used and insightful techniques for the exploratory data analysis of high-dimensional data. tSNE reveals clusters of high-dimensional…

Dimensional data reduction methods are fundamental to explore and visualize large data sets. Basic requirements for unsupervised data exploration are simplicity, flexibility and scalability. However, current methods show complex…

Machine Learning · Computer Science 2021-12-03 Joan Garriga , Frederic Bartumeus

Visual rendering of graphs is a key task in the mapping of complex network data. Although most graph drawing algorithms emphasize aesthetic appeal, certain applications such as travel-time maps place more importance on visualization of…

Machine Learning · Statistics 2014-01-20 Brian Baingana , Georgios B. Giannakis

This paper applies t-SNE, a visualisation technique familiar from Deep Neural Network research to argumentation graphs by applying it to the output of graph embeddings generated using several different methods. It shows that such a…

Artificial Intelligence · Computer Science 2021-07-02 Lars Malmqvist , Tommy Yuan , Suresh Manandhar

When visualizing a high-dimensional dataset, dimension reduction techniques are commonly employed which provide a single 2-dimensional view of the data. We describe ENS-t-SNE: an algorithm for Embedding Neighborhoods Simultaneously that…

Machine Learning · Computer Science 2024-04-02 Jacob Miller , Vahan Huroyan , Raymundo Navarrete , Md Iqbal Hossain , Stephen Kobourov

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

Progressive Visual Analytics aims at improving the interactivity in existing analytics techniques by means of visualization as well as interaction with intermediate results. One key method for data analysis is dimensionality reduction, for…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 Nicola Pezzotti , Boudewijn P. F. Lelieveldt , Laurens van der Maaten , Thomas Höllt , Elmar Eisemann , Anna Vilanova

Visualizing high-dimensional data has been a focus in data analysis communities for decades, which has led to the design of many algorithms, some of which are now considered references (such as t-SNE for example). In our era of overwhelming…

Machine Learning · Computer Science 2017-02-21 Johan Paratte , Nathanaël Perraudin , Pierre Vandergheynst

Embedding and visualizing large-scale high-dimensional data in a two-dimensional space is an important problem since such visualization can reveal deep insights out of complex data. Most of the existing embedding approaches, however, run on…

Machine Learning · Computer Science 2017-03-06 Minjeong Kim , Minsuk Choi , Sunwoong Lee , Jian Tang , Haesun Park , Jaegul Choo

t-Stochastic Neighbor Embedding (t-SNE) is a non-parametric data visualization method in classical machine learning. It maps the data from the high-dimensional space into a low-dimensional space, especially a two-dimensional plane, while…

Quantum Physics · Physics 2022-02-10 Yoshiaki Kawase , Kosuke Mitarai , Keisuke Fujii

Molecular simulation trajectories represent high-dimensional data. Such data can be visualized by methods of dimensionality reduction. Non-linear dimensionality reduction methods are likely to be more efficient than linear ones due to the…

Chemical Physics · Physics 2020-08-24 Vojtěch Spiwok , Pavel Kříž

We study the problem of visualizing large-scale and high-dimensional data in a low-dimensional (typically 2D or 3D) space. Much success has been reported recently by techniques that first compute a similarity structure of the data points…

Machine Learning · Computer Science 2016-04-06 Jian Tang , Jingzhou Liu , Ming Zhang , Qiaozhu Mei
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