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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…

机器学习 · 计算机科学 2025-09-04 Elizabeth Coda , Ery Arias-Castro , Gal Mishne

High-dimensional data visualization is crucial in the big data era and these techniques such as t-SNE and UMAP have been widely used in science and engineering. Big data, however, is often distributed across multiple data centers and…

机器学习 · 计算机科学 2024-12-19 Dong Qiao , Xinxian Ma , Jicong Fan

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…

机器学习 · 统计学 2021-12-09 Theodoulos Rodosthenous , Vahid Shahrezaei , Marina Evangelou

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…

机器学习 · 计算机科学 2021-12-03 Joan Garriga , Frederic Bartumeus

Running machine learning analytics over geographically distributed datasets is a rapidly arising problem in the world of data management policies ensuring privacy and data security. Visualizing high dimensional data using tools such as…

分布式、并行与集群计算 · 计算机科学 2020-11-13 Viska Wei , Nikita Ivkin , Vladimir Braverman , Alexander Szalay

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…

机器学习 · 计算机科学 2023-10-18 Xinyu Li , Yao Xiao , Yuchen Zhou

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…

计算机视觉与模式识别 · 计算机科学 2020-12-03 Motoshi Abe , Junichi Miyao , Takio Kurita

Dimensionality reduction is crucial both for visualization and preprocessing high dimensional data for machine learning. We introduce a novel method based on a hierarchy built on 1-nearest neighbor graphs in the original space which is used…

计算机视觉与模式识别 · 计算机科学 2022-05-31 M. Saquib Sarfraz , Marios Koulakis , Constantin Seibold , Rainer Stiefelhagen

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…

机器学习 · 计算机科学 2021-08-04 Songting Shi

With the increasing availability of high-dimensional data, analysts often rely on exploratory data analysis to understand complex data sets. A key approach to exploring such data is dimensionality reduction, which embeds high-dimensional…

机器学习 · 计算机科学 2024-12-17 Pavlin G. Poličar , Blaž Zupan

tSNE and UMAP are popular dimensionality reduction algorithms due to their speed and interpretable low-dimensional embeddings. Despite their popularity, however, little work has been done to study their full span of differences. We…

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…

机器学习 · 计算机科学 2024-04-02 Jacob Miller , Vahan Huroyan , Raymundo Navarrete , Md Iqbal Hossain , Stephen Kobourov

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…

人机交互 · 计算机科学 2022-07-25 Haseeb Younis , Paul Trust , Rosane Minghim

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…

机器学习 · 计算机科学 2022-02-25 Pierre Lambert , Cyril de Bodt , Michel Verleysen , John Lee

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…

机器学习 · 计算机科学 2022-10-25 Yan Sun , Yi Han , Jicong Fan

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…

计算机视觉与模式识别 · 计算机科学 2016-06-17 Nicola Pezzotti , Boudewijn P. F. Lelieveldt , Laurens van der Maaten , Thomas Höllt , Elmar Eisemann , Anna Vilanova

$t$-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…

机器学习 · 计算机科学 2021-09-23 Gaëlle Candel , David Naccache

The chemical sciences are producing an unprecedented amount of large, high-dimensional data sets containing chemical structures and associated properties. However, there are currently no algorithms to visualize such data while preserving…

人机交互 · 计算机科学 2020-01-07 Daniel Probst , Jean-Louis Reymond

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…

机器学习 · 统计学 2022-11-02 T. Tony Cai , Rong Ma

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…

机器学习 · 计算机科学 2019-11-05 Joan Garriga , Frederic Bartumeus
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