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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

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

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

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

$t$-SNE is an embedding method that the data science community has widely Two interesting characteristics of t-SNE are the structure preservation property and the answer to the crowding problem, where all neighbors in high dimensional space…

Machine Learning · Computer Science 2021-09-23 Gaëlle Candel , David Naccache

T-distributed stochastic neighbor embedding (t-SNE) is a well-known algorithm for visualizing high-dimensional data by finding low-dimensional representations. In this paper, we study the convergence of t-SNE with generalized kernels and…

Machine Learning · Statistics 2025-06-10 Yi Gu

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

Feature representation is an important aspect of remote-sensing based image classification. While deep convolutional neural networks are able to effectively amalgamate information, large numbers of parameters often make learned features…

Machine Learning · Computer Science 2022-03-07 Joshua Peeples , Sarah Walker , Connor McCurley , Alina Zare , James Keller , Weihuang Xu

t-Distributed Stochastic Neighbor Embedding (t-SNE) for the visualization of multidimensional data has proven to be a popular approach, with successful applications in a wide range of domains. Despite their usefulness, t-SNE projections can…

Machine Learning · Computer Science 2024-04-19 Angelos Chatzimparmpas , Rafael M. Martins , Andreas Kerren

T-SNE is a well-known approach to embedding high-dimensional data and has been widely used in data visualization. The basic assumption of t-SNE is that the data are non-constrained in the Euclidean space and the local proximity can be…

Machine Learning · Computer Science 2015-08-06 Mian Wang , Dong Wang

The t-distributed Stochastic Neighbor Embedding (t-SNE) is a powerful and popular method for visualizing high-dimensional data. It minimizes the Kullback-Leibler (KL) divergence between the original and embedded data distributions. In this…

Machine Learning · Computer Science 2018-11-06 Daniel Jiwoong Im , Nakul Verma , Kristin Branson

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…

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

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

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

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

Nonlinear data visualization using t-distributed stochastic neighbor embedding (t-SNE) enables the representation of complex single-cell transcriptomic landscapes in two or three dimensions to depict biological populations accurately.…

Genomics · Quantitative Biology 2024-10-02 Hui Ma , Kai Chen

The optimization of electric machines at multiple operating points is crucial for applications that require frequent changes on speeds and loads, such as the electric vehicles, to strive for the machine optimal performance across the entire…

Machine Learning · Computer Science 2019-11-05 Shen Zhang , Shibo Zhang , Sufei Li , Liang Du , Thomas G. Habetler

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
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