Representing piecewise linear functions by functions with small arity

Author:

Koutschan Christoph,Moser Bernhard,Ponomarchuk Anton,Schicho Josef

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory

Reference12 articles.

1. Arora, R., Basu, A., Mianjy, P., Mukherjee, A.: Understanding deep neural networks with rectified linear units. In: ICLR (2018)

2. Chua, L., Deng, A.C.: Canonical piecewise-linear representation. IEEE Trans. Circuits Syst. 35(1), 101–111 (1988)

3. Goodfellow, I., Bengio, Y., Courville, A.: Deep Learning, pp. 164–172. MIT Press (2016)

4. Gritzmann, P., Sturmfels, B.: Minkowski addition of polytopes: computational complexity and applications to Gröbner bases. SIAM J. Discrete Math. 6(2), 246–269 (1993)

5. Hertrich, C., Basu, A., Di Summa, M., Skutella, M.: Towards lower bounds on the depth of ReLu neural networks. NeurIPS 34, 3336–3348 (2021)

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