A dual number formulation to efficiently compute higher order directional derivatives

Author:

Peón-Escalante R.,Cantún-Avila K.B.,Carvente O.,Espinosa-Romero A.,Peñuñuri F.ORCID

Funder

Consejo Nacional de Ciencia y Tecnología

Publisher

Elsevier BV

Reference65 articles.

1. A review of automatic differentiation and its efficient implementation;Margossian;WIREs Data Min. Knowl. Discov.,2019

2. Automatic differentiation in machine learning: a survey;Baydin;J. Mach. Learn. Res.,2018

3. Dual numbers and automatic differentiation to efficiently compute velocities and accelerations;Peñuñuri;Acta Appl. Math.,2020

4. AuTO: a framework for automatic differentiation in topology optimization;Aaditya;Struct. Multidiscip. Optim.,2021

5. An accelerated directional derivative method for smooth stochastic convex optimization;Dvurechensky;European J. Oper. Res.,2021

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