Intrinsic dimension

In signal processing of multidimensional signals, for example in computer vision, the intrinsic dimension of the signal describes how many variables… (More)
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2018
2018
Many recently trained neural networks employ large numbers of parameters to achieve good performance. One may intuitively use the… (More)
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2011
2011
Many nonparametric regressors were recently shown to converge at rates that depend only on the intrinsic dimension of data. These… (More)
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2010
2010
In this paper, we present multiple novel applications for local intrinsic dimension estimation. There has been much work done on… (More)
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2009
2009
Recent theory work has found that a special type of spatial partition tree – called a random projection tree – is adaptive to the… (More)
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2008
2008
We perform a deeper analysis of an axiomatic approach to the concept of intrinsic dimension of a dataset proposed by us in the… (More)
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Highly Cited
2007
Highly Cited
2007
Clustering in high-dimensional spaces is a difficult problem which is recurrent in many domains, for example in image analysis… (More)
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Highly Cited
2004
Highly Cited
2004
We propose a new method for estimating intrinsic dimension of a dataset derived by applying the principle of maximum likelihood… (More)
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Highly Cited
2002
Highly Cited
2002
We propose a new algorithm to estimate the intrinsic dimensi on of data sets. The method is based on geometric properties of the… (More)
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Highly Cited
2002
Highly Cited
2002
Parameterization of discrete surfaces is a fundamental and widely-used operation in graphics, required, for instance, for texture… (More)
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Highly Cited
2002
Highly Cited
2002
between the front and reverse side images due to differences between both images caused by factors like document skews, different… (More)
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