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Stochastic Neighbor Embedding (SNE) methods minimize the divergence between the similarity matrix of a high-dimensional data set and its counterpart from a low-dimensional embedding, leading to widely applied tools for data visualization.…

Machine Learning · Computer Science 2018-09-13 Yao Lu , Jukka Corander , Zhirong Yang

Multimodal relational data analysis has become of increasing importance in recent years, for exploring across different domains of data, such as images and their text tags obtained from social networking services (e.g., Flickr). A variety…

Machine Learning · Computer Science 2020-05-05 Morihiro Mizutani , Akifumi Okuno , Geewook Kim , Hidetoshi Shimodaira

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

In the advent of big data era, interactive visualization of large data sets consisting of M*10^5+ high-dimensional feature vectors of length N (N ~ 10^3+), is an indispensable tool for data exploratory analysis. The state-of-the-art data…

Machine Learning · Computer Science 2019-02-05 Witold Dzwinel , Rafal Wcislo , Stan Matwin

t-SNE is a popular tool for embedding multi-dimensional datasets into two or three dimensions. However, it has a large computational cost, especially when the input data has many dimensions. Many use t-SNE to embed the output of a neural…

Machine Learning · Computer Science 2019-12-04 Rikhav Shah , Sandeep Silwal

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

Parametric embedding methods such as parametric t-SNE (pt-SNE) have been widely adopted for data visualization and out-of-sample data embedding without further computationally expensive optimization or approximation. However, the…

Machine Learning · Computer Science 2018-04-24 Martin Renqiang Min , Hongyu Guo , Dinghan Shen

Network embedding, which learns low-dimensional vector representation for nodes in the network, has attracted considerable research attention recently. However, the existing methods are incapable of handling billion-scale networks, because…

Social and Information Networks · Computer Science 2018-09-11 Ziwei Zhang , Peng Cui , Haoyang Li , Xiao Wang , Wenwu Zhu

Neighbor Embedding (NE) aims to preserve pairwise similarities between data items and has been shown to yield an effective principle for data visualization. However, even the best existing NE methods such as Stochastic Neighbor Embedding…

Machine Learning · Computer Science 2021-09-15 Zhirong Yang , Yuwei Chen , Denis Sedov , Samuel Kaski , Jukka Corander

Dimensionality reduction methods such as t-SNE are designed to preserve local neighborhood structure but do not explicitly account for how probability mass is distributed, often leading to distortions of data density. We reformulate…

Machine Learning · Computer Science 2026-05-05 Maksim Kazanskii

t-SNE remains one of the most popular embedding techniques for visualizing high-dimensional data. Most standard packages of t-SNE, such as scikit-learn, use the Barnes-Hut t-SNE (BH t-SNE) algorithm for large datasets. However, existing CPU…

Machine Learning · Computer Science 2022-12-23 Narendra Chaudhary , Alexander Pivovar , Pavel Yakovlev , Andrey Gorshkov , Sanchit Misra

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

Multidimensional scaling is a statistical process that aims to embed high dimensional data into a lower-dimensional space; this process is often used for the purpose of data visualisation. Common multidimensional scaling algorithms tend to…

Machine Learning · Computer Science 2022-02-25 Pierre Lambert , Cyril de Bodt , Michel Verleysen , John Lee

Video annotation is a critical and time-consuming task in computer vision research and applications. This paper presents a novel annotation pipeline that uses pre-extracted features and dimensionality reduction to accelerate the temporal…

Computer Vision and Pattern Recognition · Computer Science 2024-09-18 Alexandru Bobe , Jan C. van Gemert

The t-distributed Stochastic Neighbor Embedding (t-SNE) algorithm is a ubiquitously employed dimensionality reduction (DR) method. Its non-parametric nature and impressive efficacy motivated its parametric extension. It is however bounded…

Machine Learning · Computer Science 2020-10-06 Francesco Crecchi , Cyril de Bodt , Michel Verleysen , John A. Lee , Davide Bacciu

Data are not only ubiquitous in society, but are increasingly complex both in size and dimensionality. Dimension reduction offers researchers and scholars the ability to make such complex, high dimensional data spaces simpler and more…

Machine Learning · Computer Science 2021-03-15 Philip D. Waggoner

T-distributed stochastic neighbor embedding (tSNE) is a popular and prize-winning approach for dimensionality reduction and visualizing high-dimensional data. However, tSNE is non-parametric: once visualization is built, tSNE is not…

Artificial Intelligence · Computer Science 2017-08-17 Andrey Boytsov , Francois Fouquet , Thomas Hartmann , Yves LeTraon

We present a new method GTSNE to visualize high-dimensional data points in the two dimensional map. The technique is a variation of t-SNE that produces better visualizations by capturing both the local neighborhood structure and the macro…

Machine Learning · Computer Science 2021-08-04 Songting Shi

The paper presents an O(N log N)-implementation of t-SNE -- an embedding technique that is commonly used for the visualization of high-dimensional data in scatter plots and that normally runs in O(N^2). The new implementation uses…

Machine Learning · Computer Science 2013-03-11 Laurens van der Maaten

Data visualisation helps understanding data represented by multiple variables, also called features, stored in a large matrix where individuals are stored in lines and variable values in columns. These data structures are frequently called…

Human-Computer Interaction · Computer Science 2022-07-25 Haseeb Younis , Paul Trust , Rosane Minghim