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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

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…

Machine Learning · Computer Science 2024-12-19 Dong Qiao , Xinxian Ma , Jicong Fan

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

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…

Machine Learning · Computer Science 2022-02-25 Pierre Lambert , Cyril de Bodt , Michel Verleysen , John Lee

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…

Machine Learning · Statistics 2021-12-09 Theodoulos Rodosthenous , Vahid Shahrezaei , Marina Evangelou

Nowadays, as data becomes increasingly complex and distributed, data analyses often involve several related datasets that are stored on different servers and probably owned by different stakeholders. While there is an emerging need to…

Cryptography and Security · Computer Science 2020-07-31 Jiazhi Xia , Tianxiang Chen , Lei Zhang , Wei Chen , Yang Chen , Xiaolong Zhang , Cong Xie , Tobias Schreck

The immense amount of daily generated and communicated data presents unique challenges in their processing. Clustering, the grouping of data without the presence of ground-truth labels, is an important tool for drawing inferences from data.…

Machine Learning · Statistics 2018-02-08 Panagiotis A. Traganitis , Georgios B. Giannakis

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…

Machine Learning · Computer Science 2021-08-04 Songting Shi

Streaming analytics are essential in a large range of applications, including databases, networking, and machine learning. To optimize performance, practitioners are increasingly offloading such analytics to network nodes such as switches.…

Networking and Internet Architecture · Computer Science 2025-03-19 Jonatan Langlet , Peiqing Chen , Michael Mitzenmacher , Ran Ben Basat , Zaoxing Liu , Gianni Antichi

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…

Machine Learning · Computer Science 2025-09-04 Elizabeth Coda , Ery Arias-Castro , Gal Mishne

Graph Neural Networks (GNNs) are widely applied to graph learning problems such as node classification. When scaling up the underlying graphs of GNNs to a larger size, we are forced to either train on the complete graph and keep the full…

Machine Learning · Computer Science 2024-06-25 Mucong Ding , Tahseen Rabbani , Bang An , Evan Z Wang , Furong Huang

Graph Neural Networks (GNNs) have emerged as powerful tools for supervised machine learning over graph-structured data, while sampling-based node representation learning is widely utilized in unsupervised learning. However, scalability…

Machine Learning · Computer Science 2024-07-23 Vipul Gupta , Xin Chen , Ruoyun Huang , Fanlong Meng , Jianjun Chen , Yujun Yan

The unsupervised learning of community structure, in particular the partitioning vertices into clusters or communities, is a canonical and well-studied problem in exploratory graph analysis. However, like most graph analyses the…

Machine Learning · Computer Science 2020-07-27 Benjamin W. Priest , Alec Dunton , Geoffrey Sanders

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

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…

Machine Learning · Computer Science 2021-12-03 Joan Garriga , Frederic Bartumeus

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

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…

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

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

Energy landscapes provide a conceptual framework for structure prediction, and a detailed understanding of their topological features is necessary to develop efficient methods for their exploration. The ability to visualise these surfaces…

Computational Physics · Physics 2021-11-16 Benjamin W. B. Shires , Chris J. Pickard
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