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相关论文: A unified view on Self-Organizing Maps (SOMs) and …

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Self-organizing maps (SOMs) are a technique that has been used with high-dimensional data vectors to develop an archetypal set of states (nodes) that span, in some sense, the high-dimensional space. Noteworthy applications include weather…

应用统计 · 统计学 2009-01-23 Huiyan Sang , Alan E. Gelfand , Chris Lennard , Gabriele Hegerl , Bruce Hewitson

Self-Organizing Maps (SOM) are popular unsupervised artificial neural network used to reduce dimensions and visualize data. Visual interpretation from Self-Organizing Maps (SOM) has been limited due to grid approach of data representation,…

图形学 · 计算机科学 2013-01-03 Aaditya Prakash

Self-Organizing Maps (SOM) are a classical method for unsupervised learning, vector quantization, and topographic mapping of high-dimensional data. However, existing SOM formulations often involve a trade-off between computational…

机器学习 · 计算机科学 2026-04-16 Seiki Ubukata , Akira Notsu , Katsuhiro Honda

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.…

机器学习 · 计算机科学 2018-09-13 Yao Lu , Jukka Corander , Zhirong Yang

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

When visualizing a high-dimensional dataset, dimension reduction techniques are commonly employed which provide a single 2-dimensional view of the data. We describe ENS-t-SNE: an algorithm for Embedding Neighborhoods Simultaneously that…

机器学习 · 计算机科学 2024-04-02 Jacob Miller , Vahan Huroyan , Raymundo Navarrete , Md Iqbal Hossain , Stephen Kobourov

Neighbor Embedding (NE) aims to preserve pairwise similarities between data items and has been shown to yield an effective principle for data visualization. However, even the best existing NE methods such as Stochastic Neighbor Embedding…

机器学习 · 计算机科学 2021-09-15 Zhirong Yang , Yuwei Chen , Denis Sedov , Samuel Kaski , Jukka Corander

Self-organizing maps (SOM) are widely used for their topology preservation property: neighboring input vectors are quantified (or classified) either on the same location or on neighbor ones on a predefined grid. SOM are also widely used for…

统计理论 · 数学 2016-08-14 Eric De Bodt , Marie Cottrell , Patrick Letrémy , Michel Verleysen

Faithful visualizations of data residing on manifolds must take the underlying geometry into account when producing a flat planar view of the data. In this paper, we extend the classic stochastic neighbor embedding (SNE) algorithm to data…

机器学习 · 计算机科学 2022-03-18 Andri Bergsson , Søren Hauberg

Results of neural network learning are always subject to some variability, due to the sensitivity to initial conditions, to convergence to local minima, and, sometimes more dramatically, to sampling variability. This paper presents a set of…

统计理论 · 数学 2007-06-13 Eric De Bodt , Marie Cottrell , Michel Verleysen

A self-organizing map (SOM) is a type of competitive artificial neural network, which projects the high-dimensional input space of the training samples into a low-dimensional space with the topology relations preserved. This makes SOMs…

机器学习 · 计算机科学 2018-11-02 Wenbin Zhang , Jianwu Wang , Daeho Jin , Lazaros Oreopoulos , Zhibo Zhang

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…

机器学习 · 统计学 2021-12-09 Theodoulos Rodosthenous , Vahid Shahrezaei , Marina Evangelou

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…

机器学习 · 计算机科学 2021-09-21 Parisa Hajibabaee , Farhad Pourkamali-Anaraki , Mohammad Amin Hariri-Ardebili

This paper takes an information visualization perspective to visual representations in the general SOM paradigm. This involves viewing SOM-based visualizations through the eyes of Bertin's and Tufte's theories on data graphics. The regular…

机器学习 · 计算机科学 2013-06-26 Peter Sarlin , Samuel Rönnqvist

Controlling the internal representation space of a neural network is a desirable feature because it allows to generate new data in a supervised manner. In this paper we will show how this can be achieved while building a low-dimensional…

机器学习 · 计算机科学 2020-09-03 Francesco Mannella

The growing amount of data produced by simulations and observations of space physics processes encourages the use of methods rooted in Machine Learning for data analysis and physical discovery. We apply a clustering method based on…

等离子体物理 · 物理学 2023-04-27 Sophia Köhne , Elisabetta Boella , Maria Elena Innocenti

Random Forest (RF) is a powerful ensemble method for classification and regression tasks. It consists of decision trees set. Although, a single tree is well interpretable for human, the ensemble of trees is a black-box model. The popular…

机器学习 · 计算机科学 2014-07-17 Piotr Płoński , Krzysztof Zaremba

Stochastic Neighbor Embedding (SNE) is a manifold learning and dimensionality reduction method with a probabilistic approach. In SNE, every point is consider to be the neighbor of all other points with some probability and this probability…

机器学习 · 统计学 2022-08-04 Benyamin Ghojogh , Ali Ghodsi , Fakhri Karray , Mark Crowley

There has been an increasing interest in semi-supervised learning in the recent years because of the great number of datasets with a large number of unlabeled data but only a few labeled samples. Semi-supervised learning algorithms can work…

机器学习 · 计算机科学 2020-03-26 Pedro H. M. Braga , Hansenclever F. Bassani

We introduce a multidimensional, neural-network approach to reveal and measure urban segregation phenomena, based on the Self-Organizing Map algorithm (SOM). The multidimensionality of SOM allows one to apprehend a large number of variables…

物理与社会 · 物理学 2018-06-06 Madalina Olteanu , Aurélien Hazan , Marie Cottrell , Julien Randon-Furling
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