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- W4280521975 abstract "Applied category theory has recently developed libraries for computing with morphisms in interesting categories, while machine learning has developed ways of learning programs in interesting languages. Taking the analogy between categories and languages seriously, this paper defines a probabilistic generative model of morphisms in free monoidal categories over domain-specific generating objects and morphisms. The paper shows how acyclic directed wiring diagrams can model specifications for morphisms, which the model can use to generate morphisms. Amortized variational inference in the generative model then enables learning of parameters (by maximum likelihood) and inference of latent variables (by Bayesian inversion). A concrete experiment shows that the free category prior achieves competitive reconstruction performance on the Omniglot dataset." @default.
- W4280521975 created "2022-05-22" @default.
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- W4280521975 date "2022-05-09" @default.
- W4280521975 modified "2023-09-26" @default.
- W4280521975 title "A Probabilistic Generative Model of Free Categories" @default.
- W4280521975 doi "https://doi.org/10.48550/arxiv.2205.04545" @default.
- W4280521975 hasPublicationYear "2022" @default.
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