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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

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

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

A fundamental task in machine learning involves visualizing high-dimensional data sets that arise in high-impact application domains. When considering the context of large imbalanced data, this problem becomes much more challenging. In this…

Machine Learning · Computer Science 2021-09-21 Parisa Hajibabaee , Farhad Pourkamali-Anaraki , Mohammad Amin Hariri-Ardebili

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 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 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

$t$-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

The central goal of this paper is to establish two commonly available dimensionality reduction (DR) methods i.e. t-distributed Stochastic Neighbor Embedding (t-SNE) and Multidimensional Scaling (MDS) in Matlab and to observe their…

Machine Learning · Computer Science 2020-11-19 Shadman Sakib , Md. Abu Bakr Siddique , Md. Abdur Rahman

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

We introduce an improved unsupervised clustering protocol specially suited for large-scale structured data. The protocol follows three steps: a dimensionality reduction of the data, a density estimation over the low dimensional…

Machine Learning · Computer Science 2019-11-05 Joan Garriga , Frederic Bartumeus

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 (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

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

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

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…

This paper presents a kernelized version of the t-SNE algorithm, capable of mapping high-dimensional data to a low-dimensional space while preserving the pairwise distances between the data points in a non-Euclidean metric. This can be…

Machine Learning · Computer Science 2023-11-22 Denis C. Ilie-Ablachim , Bogdan Dumitrescu , Cristian Rusu

High-dimensional imaging is becoming increasingly relevant in many fields from astronomy and cultural heritage to systems biology. Visual exploration of such high-dimensional data is commonly facilitated by dimensionality reduction.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-04 Alexander Vieth , Anna Vilanova , Boudewijn Lelieveldt , Elmar Eisemann , Thomas Höllt

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

We present S+t-SNE, an adaptation of the t-SNE algorithm designed to handle infinite data streams. The core idea behind S+t-SNE is to update the t-SNE embedding incrementally as new data arrives, ensuring scalability and adaptability to…

Artificial Intelligence · Computer Science 2025-01-22 Pedro C. Vieira , João P. Montrezol , João T. Vieira , João Gama
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