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Dimensionality reduction simplifies synaptic partner matching in an olfactory circuit. [PDF]
Lyu C +9 more
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Integrated Hyperparameter Optimization with Dimensionality Reduction and Clustering for Radiomics: A Bootstrapped Approach. [PDF]
Pawan SJ +6 more
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Dimensionality reduction [PDF]
Dimensionality reduction is an Exploratory Data Analysis (EDA) approach allowing for fast visualization of high-dimensional data and the possibility of discovering hidden systematic patterns within a data set.
Hugo Jair Escalante, Eduardo F. Morales
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Dimensionality reduction and generalization
Proceedings of the 24th international conference on Machine learning, 2007In this paper we investigate the regularization property of Kernel Principal Component Analysis (KPCA), by studying its application as a preprocessing step to supervised learning problems. We show that performing KPCA and then ordinary least squares on the projected data, a procedure known as kernel principal component regression (KPCR), is equivalent ...
MOSCI, SOFIA +2 more
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Local dimensionality reduction
Computational Statistics, 1999Different methods of dimensionality reduction such as principal components and Fisher's linear discriminant (FLD) are considered. The authors are interested in local versions of these methods based on normal mixtures and nearest neighbors approach. The Iterated Nearest Neighbor FLD (INN) is an example of such methods. Suppose, that a training sample of
David J. Marchette, Wendy L. Poston
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Dimensionality Reduction for Classification
2008We investigate the effects of dimensionality reduction using different techniques and different dimensions on six two-class data sets with numerical attributes as pre-processing for two classification algorithms. Besides reducing the dimensionality with the use of principal components and linear discriminants, we also introduce four new techniques ...
Frank Plastria +2 more
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Robust linear dimensionality reduction
IEEE Transactions on Visualization and Computer Graphics, 2004We present a novel family of data-driven linear transformations, aimed at finding low-dimensional embeddings of multivariate data, in a way that optimally preserves the structure of the data. The well-studied PCA and Fisher's LDA are shown to be special members in this family of transformations, and we demonstrate how to generalize these two methods ...
Yehuda Koren, Liran Carmel
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