
Representation mitosis in wide neural networks
Deep neural networks (DNNs) defy the classical biasvariance tradeoff: ...
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Ranking the information content of distance measures
Realworld data typically contain a large number of features that are of...
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Distributional Results for ModelBased Intrinsic Dimension Estimators
Modern datasets are characterized by a large number of features that may...
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Dynamical Landscape and Multistability of the Earth's Climate
We apply two independent data analysis methodologies to locate stable cl...
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Hierarchical nucleation in deep neural networks
Deep convolutional networks (DCNs) learn meaningful representations wher...
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Intrinsic dimension of data representations in deep neural networks
Deep neural networks progressively transform their inputs across multipl...
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Clustering by the local intrinsic dimension: the hidden structure of realworld data
It is well known that a small number of variables is often sufficient to...
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Estimating the intrinsic dimension of datasets by a minimal neighborhood information
Analyzing large volumes of highdimensional data is an issue of fundamen...
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Automatic topography of highdimensional data sets by nonparametric Density Peak clustering
Data analysis in highdimensional spaces aims at obtaining a synthetic d...
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Alessandro Laio
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