A Formal Proof of the Expressiveness of Deep Learning

Author:

Bentkamp Alexander,Blanchette Jasmin Christian,Klakow Dietrich

Publisher

Springer International Publishing

Reference34 articles.

1. Bader, B.W., Kolda, T.G.: Algorithm 862: MATLAB tensor classes for fast algorithm prototyping. ACM Trans. Math. Softw. 32(4), 635–653 (2006)

2. Bentkamp, A.: Expressiveness of deep learning. Archive of Formal Proofs (2016). http://isa-afp.org/entries/Deep_Learning.shtml . Formal proof development

3. Bentkamp, A.: An Isabelle formalization of the expressiveness of deep learning. M.Sc. thesis, Universität des Saarlandes (2016). http://matryoshka.gforge.inria.fr/pubs/bentkamp_msc_thesis.pdf

4. Bernard, S., Bertot, Y., Rideau, L., Strub, P.: Formal proofs of transcendence for $$e$$ and $$\pi $$ as an application of multivariate and symmetric polynomials. In: Avigad, J., Chlipala, A. (eds.) CPP 2016, pp. 76–87. ACM (2016)

5. Lecture Notes in Computer Science;Y Bertot,2008

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1. Formal Verification of Quantum Algorithms Using Quantum Hoare Logic;Computer Aided Verification;2019

2. A Formal Proof of the Expressiveness of Deep Learning;Journal of Automated Reasoning;2018-09-22

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