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Stochastic neighbor embedding (SNE) methods $t$-SNE, UMAP are two most popular dimensionality reduction methods for data visualization. Contrastive learning, especially self-supervised contrastive learning (SSCL), has showed great success…

机器学习 · 计算机科学 2023-09-18 Yi Zhang

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…

机器学习 · 计算机科学 2019-12-04 Rikhav Shah , Sandeep Silwal

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

Topology based dimensionality reduction methods such as t-SNE and UMAP have seen increasing success and popularity in high-dimensional data. These methods have strong mathematical foundations and are based on the intuition that the topology…

人工智能 · 计算机科学 2021-12-17 Ayush Dalmia , Suzanna Sia

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.…

机器学习 · 计算机科学 2025-09-10 Pierre Lambert , Edouard Couplet , Michel Verleysen , John Aldo Lee

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

This paper introduces NN-STNE, a neural network using t-distributed stochastic neighbor embedding (t-SNE) as a hidden layer to reduce input dimensions by mapping long time-series data into shapelet membership probabilities. A Gaussian…

机器学习 · 计算机科学 2025-02-07 Zhicong Xian , Tabish Chaudhary , Jürgen Bock

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…

机器学习 · 计算机科学 2025-09-05 Tristan Luca Saidi , Abigail Hickok , Bastian Rieck , Andrew J. Blumberg

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

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…

机器学习 · 计算机科学 2017-06-09 George C. Linderman , Stefan Steinerberger

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…

机器学习 · 计算机科学 2020-11-19 Shadman Sakib , Md. Abu Bakr Siddique , Md. Abdur Rahman

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

T-distributed stochastic neighbour embedding (t-SNE) is a widely used data visualisation technique. It differs from its predecessor SNE by the low-dimensional similarity kernel: the Gaussian kernel was replaced by the heavy-tailed Cauchy…

机器学习 · 计算机科学 2020-07-20 Dmitry Kobak , George Linderman , Stefan Steinerberger , Yuval Kluger , Philipp Berens

We present an unsupervised data processing workflow that is specifically designed to obtain a fast conformational clustering of long molecular dynamics simulation trajectories. In this approach we combine two dimensionality reduction…

化学物理 · 物理学 2023-08-09 Simon Hunkler , Kay Diederichs , Oleksandra Kukharenko , Christine Peter

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…

机器学习 · 计算机科学 2018-04-24 Martin Renqiang Min , Hongyu Guo , Dinghan Shen

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

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…

量子物理 · 物理学 2022-02-10 Yoshiaki Kawase , Kosuke Mitarai , Keisuke Fujii

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

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

Spectral clustering is a leading and popular technique in unsupervised data analysis. Two of its major limitations are scalability and generalization of the spectral embedding (i.e., out-of-sample-extension). In this paper we introduce a…

机器学习 · 统计学 2024-11-06 Uri Shaham , Kelly Stanton , Henry Li , Boaz Nadler , Ronen Basri , Yuval Kluger