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Clinical outcomes of internal iliosciatic fixation using a conventional reconstruction plate via an anterior approach for acetabular fractures involving the posterior column. [PDF]
Xiong H, Chen H, Cao S, Chen X, Wang F.
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Numerical Simulation of the Effect of Process Parameters on Pass Filling Degree in F-Section Steel Finishing Rolling Process. [PDF]
Duan H +5 more
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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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SEMISUPERVISED MULTIMODAL DIMENSIONALITY REDUCTION
Computational Intelligence, 2012The problem of learning from both labeled and unlabeled data is considered. In this paper, we present a novel semisupervised multimodal dimensionality reduction (SSMDR) algorithm for feature reduction and extraction. SSMDR can preserve the local and multimodal structures of labeled and unlabeled samples. As a result, data pairs in the close vicinity of
Zhao Zhang 0001 +2 more
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Diffeomorphic Dimensionality Reduction.
2009This paper introduces a new approach to constructing meaningful lower dimensional representations of sets of data points. We argue that constraining the mapping between the high and low dimensional spaces to be a diffeomorphism is a natural way of ensuring that pairwise distances are approximately preserved.
Walder, C., Schölkopf, B.
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Sufficient dimensionality reduction
J. Mach. Learn. Res., 2003Summary: Dimensionality reduction of empirical co-occurrence data is a fundamental problem in unsupervised learning. It is also a well studied problem in statistics known as the analysis of cross-classified data. One principled approach to this problem is to represent the data in low dimension with minimal loss of (mutual) information contained in the ...
Amir Globerson, Naftali Tishby
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Neighborhood Selection for Dimensionality Reduction
2015Though a great deal of research work has been devoted to the development of dimensionality reduction algorithms, the problem is still open. The most recent and effective techniques, assuming datasets drawn from an underlying low dimensional manifold embedded into an high dimensional space, look for “small enough” neighborhoods which should represent ...
P. Campadelli, E. Casiraghi, C. Ceruti
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