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Low-dimensional embeddings for data from disparate sources play critical roles in multi-modal machine learning, multimedia information retrieval, and bioinformatics. In this paper, we propose a supervised dimensionality reduction method…

Machine Learning · Computer Science 2021-01-15 Yanjun Li , Bihan Wen , Hao Cheng , Yoram Bresler

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-13 Viska Wei , Nikita Ivkin , Vladimir Braverman , Alexander Szalay

This is a tutorial and survey paper for Locally Linear Embedding (LLE) and its variants. The idea of LLE is fitting the local structure of manifold in the embedding space. In this paper, we first cover LLE, kernel LLE, inverse LLE, and…

Machine Learning · Statistics 2020-11-24 Benyamin Ghojogh , Ali Ghodsi , Fakhri Karray , Mark Crowley

Dimensionality reduction is often used as an initial step in data exploration, either as preprocessing for classification or regression or for visualization. Most dimensionality reduction techniques to date are unsupervised; they do not…

Machine Learning · Statistics 2020-06-17 Jake S. Rhodes , Adele Cutler , Guy Wolf , Kevin R. Moon

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

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

Manifold learning (ML) aims to seek low-dimensional embedding from high-dimensional data. The problem is challenging on real-world datasets, especially with under-sampling data, and we find that previous methods perform poorly in this case.…

Machine Learning · Computer Science 2022-07-27 Zelin Zang , Siyuan Li , Di Wu , Ge Wang , Lei Shang , Baigui Sun , Hao Li , Stan Z. Li

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…

Machine Learning · Computer Science 2025-09-05 Tristan Luca Saidi , Abigail Hickok , Bastian Rieck , Andrew J. Blumberg

We present a new technique for visualizing high-dimensional data called cluster MDS (cl-MDS), which addresses a common difficulty of dimensionality reduction methods: preserving both local and global structures of the original sample in a…

Graphics · Computer Science 2024-05-27 Patricia Hernández-León , Miguel A. Caro

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

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

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

We propose a unified view on two widely used data visualization techniques: Self-Organizing Maps (SOMs) and Stochastic Neighbor Embedding (SNE). We show that they can both be derived from a common mathematical framework. Leveraging this…

Machine Learning · Computer Science 2022-05-04 Thibaut Kulak , Anthony Fillion , François Blayo

The clustering and visualisation of high-dimensional data is a ubiquitous task in modern data science. Popular techniques include nonlinear dimensionality reduction methods like t-SNE or UMAP. These methods face the `scale-problem' of…

Machine Learning · Statistics 2025-10-20 Jack Kendrick

Low-dimensional embeddings and visualizations are an indispensable tool for analysis of high-dimensional data. State-of-the-art methods, such as tSNE and UMAP, excel in unveiling local structures hidden in high-dimensional data and are…

Machine Learning · Computer Science 2023-02-01 Jonas Fischer , Rebekka Burkholz , Jilles Vreeken

Real-world networks often exist with multiple views, where each view describes one type of interaction among a common set of nodes. For example, on a video-sharing network, while two user nodes are linked if they have common favorite videos…

Machine Learning · Computer Science 2021-04-27 Sezin Kircali Ata , Yuan Fang , Min Wu , Jiaqi Shi , Chee Keong Kwoh , Xiaoli Li

Real-world social networks and digital platforms are comprised of individuals (nodes) that are linked to other individuals or entities through multiple types of relationships (links). Sub-networks of such a network based on each type of…

Machine Learning · Computer Science 2019-02-19 Yiwei Sun , Ngot Bui , Tsung-Yu Hsieh , Vasant Honavar

Clustering on the data with multiple aspects, such as multi-view or multi-type relational data, has become popular in recent years due to their wide applicability. The approach using manifold learning with the Non-negative Matrix…

Machine Learning · Computer Science 2020-09-08 Khanh Luong , Richi Nayak

Multi-dimensional data exploration is a classic research topic in visualization. Most existing approaches are designed for identifying record patterns in dimensional space or subspace. In this paper, we propose a visual analytics approach…

Machine Learning · Computer Science 2021-04-27 Peng Xie , Wenyuan Tao , Jie Li , Wentao Huang , Siming Chen

We present a novel cross-view classification algorithm where the gallery and probe data come from different views. A popular approach to tackle this problem is the multi-view subspace learning (MvSL) that aims to learn a latent subspace…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Jiamiao Xu , Shujian Yu , Xinge You , Mengjun Leng , Xiao-Yuan Jing , C. L. Philip Chen