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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…

Non-linear dimensionality reduction can be performed by \textit{manifold learning} approaches, such as Stochastic Neighbour Embedding (SNE), Locally Linear Embedding (LLE) and Isometric Feature Mapping (ISOMAP). These methods aim to produce…

Machine Learning · Statistics 2021-12-09 Theodoulos Rodosthenous , Vahid Shahrezaei , Marina Evangelou

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

Conditional t-SNE (ct-SNE) is a recent extension to t-SNE that allows removal of known cluster information from the embedding, to obtain a visualization revealing structure beyond label information. This is useful, for example, when one…

Machine Learning · Computer Science 2023-04-12 Edith Heiter , Bo Kang , Ruth Seurinck , Jefrey Lijffijt

In this work, the use of t-SNE is proposed to embed 3D point clouds of plants into 2D space for plant characterization. It is demonstrated that t-SNE operates as a practical tool to flatten and visualize a complete 3D plant model in 2D…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 Helin Dutagaci

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

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

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-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

Faithful visualizations of data residing on manifolds must take the underlying geometry into account when producing a flat planar view of the data. In this paper, we extend the classic stochastic neighbor embedding (SNE) algorithm to data…

Machine Learning · Computer Science 2022-03-18 Andri Bergsson , Søren Hauberg

Stochastic Neighbor Embedding (SNE) algorithms like UMAP and tSNE often produce visualizations that do not preserve the geometry of noisy and high dimensional data. In particular, they can spuriously separate connected components of the…

Machine Learning · Computer Science 2025-09-05 Tristan Luca Saidi , Abigail Hickok , Bastian Rieck , Andrew J. Blumberg

Due to the sequential sample arrival, changing experiment conditions, and evolution of knowledge, the demand to continually visualize evolving structures of sequential and diverse single-cell RNA-sequencing (scRNA-seq) data becomes…

Genomics · Quantitative Biology 2024-06-24 Hui Ma , Kai Chen

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

Neighbour embeddings (NE) allow the representation of high dimensional datasets into lower dimensional spaces and are often used in data visualisation. In practice, accelerated approximations are employed to handle very large datasets.…

Machine Learning · Computer Science 2025-09-10 Pierre Lambert , Edouard Couplet , Michel Verleysen , John Aldo Lee

We describe a new method called t-ETE for finding a low-dimensional embedding of a set of objects in Euclidean space. We formulate the embedding problem as a joint ranking problem over a set of triplets, where each triplet captures the…

Artificial Intelligence · Computer Science 2017-05-18 Ehsan Amid , Nikos Vlassis , Manfred K. Warmuth

Neighbor embeddings are a family of methods for visualizing complex high-dimensional datasets using $k$NN graphs. To find the low-dimensional embedding, these algorithms combine an attractive force between neighboring pairs of points with a…

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

Stochastic Neighbor Embedding and its variants are widely used dimensionality reduction techniques -- despite their popularity, no theoretical results are known. We prove that the optimal SNE embedding of well-separated clusters from high…

Machine Learning · Statistics 2017-02-24 Uri Shaham , Stefan Steinerberger

Widely used pipelines for analyzing high-dimensional data utilize two-dimensional visualizations. These are created, for instance, via t-distributed stochastic neighbor embedding (t-SNE). A crucial element of the t-SNE embedding procedure…

Machine Learning · Computer Science 2024-12-06 Martin Skrodzki , Nicolas F. Chaves-de-Plaza , Thomas Höllt , Elmar Eisemann , Klaus Hildebrandt

We present a new technique called "DSNE" which learns the velocity embeddings of low dimensional map points when given the high-dimensional data points with its velocities. The technique is a variation of Stochastic Neighbor Embedding,…

Machine Learning · Computer Science 2021-03-16 Songting Shi

The t-Distributed Stochastic Neighbor Embedding (t-SNE) has emerged as a popular dimensionality reduction technique for visualizing high-dimensional data. It computes pairwise similarities between data points by default using an RBF kernel…

Machine Learning · Computer Science 2024-10-22 Sarwan Ali , Prakash Chourasia , Haris Mansoor , Bipin koirala , Murray Patterson