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Dimensionality reduction methods such as t-SNE and UMAP are popular methods for visualizing data with a potential (latent) clustered structure. They are known to group data points at the same time as they embed them, resulting in…

Machine Learning · Computer Science 2025-09-04 Elizabeth Coda , Ery Arias-Castro , Gal Mishne

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

Scientific datasets often have hierarchical structure: for example, in surveys, individual participants (samples) might be grouped at a higher level (units) such as their geographical region. In these settings, the interest is often in…

Machine Learning · Computer Science 2024-06-06 Fynn Bachmann , Philipp Hennig , Dmitry Kobak

This work considers large-data asymptotics for t-distributed stochastic neighbor embedding (tSNE), a widely-used non-linear dimension reduction algorithm. We identify an appropriate continuum limit of the tSNE objective function, which can…

Statistics Theory · Mathematics 2024-10-18 Ryan Murray , Adam Pickarski

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

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

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

This article presents a novel application of the t-distributed Stochastic Neighbor Embedding (t-SNE) clustering algorithm to the telecommunication field. t-SNE is a dimensionality reduction (DR) algorithm that allows the visualization of…

Signal Processing · Electrical Eng. & Systems 2023-04-28 Alejandro Ramírez-Arroyo , Luz García , Antonio Alex-Amor , Juan F. Valenzuela-Valdés

t-distributed Stochastic Neighborhood Embedding (t-SNE), a clustering and visualization method proposed by van der Maaten & Hinton in 2008, has rapidly become a standard tool in a number of natural sciences. Despite its overwhelming…

Machine Learning · Computer Science 2017-06-09 George C. Linderman , Stefan Steinerberger

The recent advancements in computational power and machine learning algorithms have led to vast improvements in manifold areas of research. Especially in finance, the application of machine learning enables both researchers and…

Statistical Finance · Quantitative Finance 2020-05-21 Sven Husmann , Antoniya Shivarova , Rick Steinert

This paper presents a new insight into improving the performance of Stochastic Neighbour Embedding (t-SNE) by using Isolation kernel instead of Gaussian kernel. Isolation kernel outperforms Gaussian kernel in two aspects. First, the use of…

Machine Learning · Computer Science 2024-01-30 Ye Zhu , Kai Ming Ting

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

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 extend a well-known dimension reduction method, t-distributed stochastic neighbor embedding (t-SNE), from non-parametric to parametric by training neural networks. The main advantage of a parametric technique is the generalization of…

Machine Learning · Computer Science 2020-10-01 Chien-Hsun Lai , Yu-Shuen Wang

Hyperbolic space can naturally embed hierarchies that often exist in real-world data and semantics. While high-dimensional hyperbolic embeddings lead to better representations, most hyperbolic models utilize low-dimensional embeddings, due…

Machine Learning · Computer Science 2022-05-17 Yunhui Guo , Haoran Guo , Stella Yu

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

Across many scientific fields, measurements often represent the number of times an event occurs. For example, a document can be represented by word occurrence counts, neural activity by spike counts per time window, or online communication…

Machine Learning · Statistics 2026-04-21 Noga Mudrik , Adam S. Charles

We consider the mobile localization problem in future millimeter-wave wireless networks with distributed Base Stations (BSs) based on multi-antenna channel state information (CSI). For this problem, we propose a Semi-supervised tdistributed…

Machine Learning · Computer Science 2021-11-29 Junquan Deng , Wei Shi , Jian Hu , Xianlong Jiao

Most existing graph visualization methods based on dimension reduction are limited to relatively small graphs due to performance issues. In this work, we propose a novel dimension reduction method for graph visualization, called…

Machine Learning · Computer Science 2023-10-18 Xinyu Li , Yao Xiao , Yuchen Zhou

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