Introduction to O-minimal Structures and an Application to Neural Network Learning
نویسنده
چکیده
1. Definition of o-minimality and first examples 1 2. Basic real analysis and the monotonicity theorem 4 3. Definable Skolem functions and elimination of imaginaries 8 4. Dimension, part 1 10 5. Cell decomposition 11 6. Dimension, part 2 15 7. Restricted analytic functions and global exponentiation 17 8. NIP and neural networks 20 8.1. Vapnik-Chervonenkis dimension 20 8.2. O-minimal structures have NIP 20 8.3. An application to neural network learning 22 References 26
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