Automatic Differentiation Using Dual Numbers - Use Case

Author:

Anand Krishna R.,Krishna Dutt R. V. S.,Premchand P.

Publisher

Springer Nature Switzerland

Reference13 articles.

1. Baydin, A.G., Pearlmutter, B.A., Radul, A.A., Siskind, J.M.: Automatic differentiation in machine learning: a survey. J. Mach. Learn. Res. 18, 153:1–153:43 (2017)

2. van Merriënboer, B., Breuleux, O., Bergeron, A., Lamblin, P.: Automatic differentiation in ML: where we are and where we should be going. In: Bengio, S., Wallach, H.M., Larochelle, H., Grauman, K., Cesa-Bianchi, N., Garnett, R. (eds.) Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, NeurIPS 2018, Montreal, Canada, 3–8 December 2018, pp. 8771–8781 (2018)

3. Bolte, J., Pauwels, E.: A mathematical model for automatic differentiation in machine learning. In: Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, NeurIPS 2020, 6–12 December 2020 (2020)

4. Rehner, P., Bauer, G.: Application of generalized (hyper-) dual numbers in equation of state modelling. Front. Chem. Eng. 3 (2021)

5. Raissi, M., Perdikaris, P., Karniadakis, G.E.: Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. J. Comput. Phys. 378, 686–707 (2019)

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