nabla: Exact Derivatives via Automatic Differentiation

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Authors: Alexander Towell
Cited by: 0

Abstract

Exact automatic differentiation for R functions. Provides a composable derivative operator D that computes gradients, Hessians, Jacobians, and arbitrary-order derivative tensors at machine precision. D(D(f)) gives Hessians, D(D(D(f))) gives third-order tensors for skewness of maximum likelihood estimators, and so on to any order. Works through any R code including loops, branches, and control flow.

Fields of Study & Subjects

Data Analysis with R Numerical Methods and Algorithms Mathematical and Computational Methods

Publication details

Publication date
10 February 2026
Language
EN
Document type
Dataset