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Explaining dimensionality reduction results using Shapley values
(2021-09-15)
Dimensionality reduction (DR) techniques have been consistently supporting high-dimensional data analysis in various applications. Besides the patterns uncovered by these techniques, the interpretation of DR results based ...
Contrastive analysis for scatterplot-based representations of dimensionality reduction
(2021-01-01)
Cluster interpretation after dimensionality reduction (DR) is a ubiquitous part of exploring multidimensional datasets. DR results are frequently represented by scatterplots, where spatial proximity encodes similarity among ...
How optimizing perplexity can affect the dimensionality reduction on word embeddings visualization?
(Springer, 2019-12-01)
Traditional word embeddings approaches, such as bag-of-words models, tackles the problem of text data representation by linking words in a document to a binary vector, marking their occurrence or not. Additionally, a term ...
Visual analysis of dimensionality reduction quality for parameterized projections
(Pergamon-Elsevier ScienceOxford, 2014-06)
In recent years, many dimensionality reduction (DR) algorithms have been proposed for visual analysis of multidimensional data. Given a set of n-dimensional observations, such algorithms create a 2D or 3D projection thereof ...
Relations between two-dimensional models from dimensional reduction
(1998-12-15)
In this work we explore the consequences of dimensional reduction of the 3D Maxwell-Chern-Simons and some related models. A connection between topological mass generation in 3D and mass generation according to the Schwinger ...
Alkaline peroxide electrosynthesis by oxygen reduction using an acid anolyte in a divided reactor with a three-dimensional rotating cylinder cathode and two-phase flow induced by centrifugal force
(John Wiley & Sons Ltd, 2016-01)
BACKGROUND: This work analyses the performance of a batch electrochemical reactor with a three-dimensional rotating cylinder cathode for the synthesis of alkaline peroxide by reduction of O2 under 0.1 MPa (abs). The ...
Bright solitons in a quasi-one-dimensional reduced model of a dipolar Bose-Einstein condensate with repulsive short-range interactions
(Iop Publishing Ltd, 2014-08-01)
We study the formation and dynamics of bright solitons in a quasi-one-dimensional reduced mean-field Gross-Pitaevskii equation of a dipolar Bose-Einstein condensate with repulsive short-range interactions. The study is ...
Semi-supervised dimensionality reduction based on partial least squares for visual analysis of high dimensional data
(WILEY-BLACKWELLHOBOKEN, 2012)
Dimensionality reduction is employed for visual data analysis as a way to obtaining reduced spaces for high dimensional data or to mapping data directly into 2D or 3D spaces. Although techniques have evolved to improve ...
A projection pursuit framework for supervised dimension reduction of high dimensional small sample datasets
(ElsevierAmsterdam, 2015-02)
The analysis and interpretation of datasets with large number of features and few examples has remained as a challenging problem in the scientific community, owing to the difficulties associated with the curse-of-the-dim ...
Lie symmetry analysis and reductions of a two-dimensional integrable generalization of the Camassa-Holm equation
(Elsevier B.V., 2000-08-21)
In this Letter we investigate Lie symmetries of a (2 + 1)-dimensional integrable generalization of the Camassa-Holm (CH) equation. Through the similarity reductions we obtain four different (1 + 1)-dimensional systems of ...