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Dimension reduction, widely used in science, maps high-dimensional data into low-dimensional space. We investigate a basic mathematical model underlying the techniques of stochastic neighborhood embedding (SNE) and its popular variant…

机器学习 · 统计学 2025-03-26 Ben Weinkove

t-distributed stochastic neighbor embedding (t-SNE) is a well-established visualization method for complex high-dimensional data. However, the original t-SNE method is nonparametric, stochastic, and often cannot well prevserve the global…

计算机视觉与模式识别 · 计算机科学 2022-01-14 Zixia Zhou , Yuanyuan Wang , Boudewijn P. F. Lelieveldt , Qian Tao

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…

机器学习 · 计算机科学 2020-10-01 Chien-Hsun Lai , Yu-Shuen Wang

Data visualization is important in understanding the characteristics of data that are difficult to see directly. It is used to visualize loss landscapes and optimization trajectories to analyze optimization performance. Popular optimization…

量子物理 · 物理学 2023-12-04 Yoshiaki Kawase , Kosuke Mitarai , Keisuke Fujii

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…

信号处理 · 电气工程与系统科学 2023-04-28 Alejandro Ramírez-Arroyo , Luz García , Antonio Alex-Amor , Juan F. Valenzuela-Valdés

Visualization methods based on the nearest neighbor graph, such as t-SNE or UMAP, are widely used for visualizing high-dimensional data. Yet, these approaches only produce meaningful results if the nearest neighbors themselves are…

机器学习 · 计算机科学 2024-06-06 Jan Niklas Böhm , Philipp Berens , Dmitry Kobak

This work is concerned with the continuum limit of a graph-based data visualization technique called the t-Distributed Stochastic Neighbor Embedding (t-SNE), which is widely used for visualizing data in a variety of applications, but is…

机器学习 · 统计学 2026-04-15 Jeff Calder , Zhonggan Huang , Ryan Murray , Adam Pickarski

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…

机器学习 · 计算机科学 2024-04-19 Angelos Chatzimparmpas , Rafael M. Martins , Andreas Kerren

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.…

计算机视觉与模式识别 · 计算机科学 2023-08-04 Alexander Vieth , Anna Vilanova , Boudewijn Lelieveldt , Elmar Eisemann , Thomas Höllt

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…

机器学习 · 计算机科学 2026-05-05 Maksim Kazanskii

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…

机器学习 · 计算机科学 2018-08-01 David M. Chan , Roshan Rao , Forrest Huang , John F. Canny

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.…

基因组学 · 定量生物学 2024-10-02 Hui Ma , Kai Chen

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…

机器学习 · 统计学 2026-04-21 Noga Mudrik , Adam S. Charles

Dimensionality reduction and manifold learning methods such as t-Distributed Stochastic Neighbor Embedding (t-SNE) are routinely used to map high-dimensional data into a 2-dimensional space to visualize and explore the data. However, two…

机器学习 · 计算机科学 2019-05-27 Bo Kang , Darío García García , Jefrey Lijffijt , Raúl Santos-Rodríguez , Tijl De Bie

t-Distributed Stochastic Neighbor Embedding (t-SNE) is one of the most widely used dimensionality reduction methods for data visualization, but it has a perplexity hyperparameter that requires manual selection. In practice, proper tuning of…

人工智能 · 计算机科学 2017-08-11 Yanshuai Cao , Luyu 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…

机器学习 · 计算机科学 2022-05-17 Yunhui Guo , Haoran Guo , Stella Yu

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…

人工智能 · 计算机科学 2017-08-17 Andrey Boytsov , Francois Fouquet , Thomas Hartmann , Yves LeTraon

Cluster visualization is an essential task for nonlinear dimensionality reduction as a data analysis tool. It is often believed that Student t-Distributed Stochastic Neighbor Embedding (t-SNE) can show clusters for well clusterable data,…

机器学习 · 计算机科学 2021-10-07 Zhirong Yang , Yuwei Chen , Jukka Corander

Dimensionality reduction techniques are essential for visualizing and analyzing high-dimensional biological sequencing data. t-distributed Stochastic Neighbor Embedding (t-SNE) is widely used for this purpose, traditionally employing the…

机器学习 · 计算机科学 2025-12-19 Avais Jan , Prakash Chourasia , Sarwan Ali , Murray Patterson

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