Clerc, F;
Danos, V;
Dahlqvist, F;
Garnier, I;
(2017)
Pointless Learning.
In: Esparza, J and Murawski, AS, (eds.)
Foundations of Software Science and Computation Structures.
(pp. pp. 355-369).
Springer Nature: Berlin, Germany.
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Abstract
Bayesian inversion is at the heart of probabilistic programming and more generally machine learning. Understanding inversion is made difficult by the pointful (kernel-centric) point of view usually taken in the literature. We develop a pointless (kernel-free) approach to inversion. While doing so, we revisit some foundational objects of probability theory, unravel their category-theoretical underpinnings and show how pointless Bayesian inversion sits naturally at the centre of this construction.
Type: | Proceedings paper |
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Title: | Pointless Learning |
Event: | 20th International Conference on Foundations of Software Science and Computation Structures |
Location: | Uppsala, Sweden |
Dates: | 22nd-29th April 2017 |
ISBN-13: | 978-3-662-54457-0 |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1007/978-3-662-54458-7_21 |
Publisher version: | https://doi.org/10.1007/978-3-662-54458-7_21 |
Language: | English |
Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
Keywords: | software engineering, formal logic, mathematical logic, formal languages, programming languages, compilers, interpreters, finite automata, coalgebra, numerical methods, Markov chains, probability, semantics, satisfiability problems, artificial intelligence, context free languages |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
URI: | https://discovery.ucl.ac.uk/id/eprint/10064377 |



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