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- W4313303818 abstract "Artificial neural networks can learn complex, salient data features to achieve a given task. On the opposite end of the spectrum, mathematically grounded methods such as topological data analysis allow users to design analysis pipelines fully aware of data constraints and symmetries. We introduce a class of persistence-based neural network layers. Persistence-based layers allow the users to easily inject knowledge about symmetries (equivariance) respected by the data, are equipped with learnable weights, and can be composed with state-of-the-art neural architectures." @default.
- W4313303818 created "2023-01-06" @default.
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- W4313303818 date "2022-12-28" @default.
- W4313303818 modified "2023-09-23" @default.
- W4313303818 title "Persistence-based operators in machine learning" @default.
- W4313303818 doi "https://doi.org/10.48550/arxiv.2212.13985" @default.
- W4313303818 hasPublicationYear "2022" @default.
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