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- W4287200310 abstract "We discover that deep ReLU neural network classifiers can see a low-dimensional Riemannian manifold structure on data. Such structure comes via the local data matrix, a variation of the Fisher information matrix, where the role of the model parameters is taken by the data variables. We obtain a foliation of the data domain and we show that the dataset on which the model is trained lies on a leaf, the data leaf, whose dimension is bounded by the number of classification labels. We validate our results with some experiments with the MNIST dataset: paths on the data leaf connect valid images, while other leaves cover noisy images." @default.
- W4287200310 created "2022-07-25" @default.
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- W4287200310 date "2021-04-26" @default.
- W4287200310 modified "2023-09-30" @default.
- W4287200310 title "Model-centric Data Manifold: the Data Through the Eyes of the Model" @default.
- W4287200310 doi "https://doi.org/10.48550/arxiv.2104.13289" @default.
- W4287200310 hasPublicationYear "2021" @default.
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