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t-SNE remains one of the most popular embedding techniques for visualizing high-dimensional data. Most standard packages of t-SNE, such as scikit-learn, use the Barnes-Hut t-SNE (BH t-SNE) algorithm for large datasets. However, existing CPU…

Machine Learning · Computer Science 2022-12-23 Narendra Chaudhary , Alexander Pivovar , Pavel Yakovlev , Andrey Gorshkov , Sanchit Misra

Network embedding has numerous practical applications and has received extensive attention in graph learning, which aims at mapping vertices into a low-dimensional and continuous dense vector space by preserving the underlying structural…

Machine Learning · Computer Science 2024-08-07 Longlong Lin , Yunfeng Yu , Zihao Wang , Zeli Wang , Yuying Zhao , Jin Zhao , Tao Jia

Dimensionality reduction methods, also known as projections, are frequently used for exploring multidimensional data in machine learning, data science, and information visualization. Among these, t-SNE and its variants have become very…

Machine Learning · Computer Science 2019-02-22 Mateus Espadoto , Nina S. T. Hirata , Alexandru C. Telea

Stochastic Neighbor Embedding (SNE) methods minimize the divergence between the similarity matrix of a high-dimensional data set and its counterpart from a low-dimensional embedding, leading to widely applied tools for data visualization.…

Machine Learning · Computer Science 2018-09-13 Yao Lu , Jukka Corander , Zhirong Yang

Graph Neural Networks (GNNs) are attracting growing attention due to their effectiveness and flexibility in modeling a variety of graph-structured data. Exiting GNN architectures usually adopt simple pooling operations (eg. sum, average,…

Machine Learning · Computer Science 2022-10-21 Chenqing Hua , Guillaume Rabusseau , Jian Tang

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

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

Tensor network (TN) is a powerful framework in machine learning, but selecting a good TN model, known as TN structure search (TN-SS), is a challenging and computationally intensive task. The recent approach TNLS~\cite{li2022permutation}…

Machine Learning · Computer Science 2023-05-30 Chao Li , Junhua Zeng , Chunmei Li , Cesar Caiafa , Qibin Zhao

TensorNetwork is an open source library for implementing tensor network algorithms in TensorFlow. We describe a tree tensor network (TTN) algorithm for approximating the ground state of either a periodic quantum spin chain (1D) or a lattice…

Strongly Correlated Electrons · Physics 2019-05-07 Ashley Milsted , Martin Ganahl , Stefan Leichenauer , Jack Hidary , Guifre Vidal

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…

Human-Computer Interaction · Computer Science 2022-07-25 Haseeb Younis , Paul Trust , Rosane Minghim

Data visualisation is a key tool in data mining for understanding big datasets. Many visualisation methods have been proposed, including the well-regarded state-of-the-art method t-Distributed Stochastic Neighbour Embedding. However, the…

Neural and Evolutionary Computing · Computer Science 2020-01-29 Andrew Lensen , Bing Xue , Mengjie Zhang

The paper presents an O(N log N)-implementation of t-SNE -- an embedding technique that is commonly used for the visualization of high-dimensional data in scatter plots and that normally runs in O(N^2). The new implementation uses…

Machine Learning · Computer Science 2013-03-11 Laurens van der Maaten

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…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 M. Saquib Sarfraz , Marios Koulakis , Constantin Seibold , Rainer Stiefelhagen

Representing the nodes of continuous-time temporal graphs in a low-dimensional latent space has wide-ranging applications, from prediction to visualization. Yet, analyzing continuous-time relational data with timestamped interactions…

Machine Learning · Computer Science 2024-05-28 Raphaël Romero , Jefrey Lijffijt , Riccardo Rastelli , Marco Corneli , Tijl De Bie

We describe a new method called t-ETE for finding a low-dimensional embedding of a set of objects in Euclidean space. We formulate the embedding problem as a joint ranking problem over a set of triplets, where each triplet captures the…

Artificial Intelligence · Computer Science 2017-05-18 Ehsan Amid , Nikos Vlassis , Manfred K. Warmuth

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…

Generative Adversarial Networks (GANs) are powerful generative models that achieved strong results, mainly in the image domain. However, the training of GANs is not trivial, presenting some challenges tackled by different strategies.…

Neural and Evolutionary Computing · Computer Science 2021-02-26 Victor Costa , Nuno Lourenço , João Correia , Penousal Machado

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

The NeuroEvolution of Augmenting Topologies (NEAT) algorithm has received considerable recognition in the field of neuroevolution. Its effectiveness is derived from initiating with simple networks and incrementally evolving both their…

Neural and Evolutionary Computing · Computer Science 2025-04-14 Lishuang Wang , Mengfei Zhao , Enyu Liu , Kebin Sun , Ran Cheng

Energy efficiency of hardware accelerators of deep neural networks (DNN) can be improved by introducing approximate arithmetic circuits. In order to quantify the error introduced by using these circuits and avoid the expensive hardware…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-03 Filip Vaverka , Vojtech Mrazek , Zdenek Vasicek , Lukas Sekanina
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