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Derivatives play a critical role in computational statistics, examples being Bayesian inference using Hamiltonian Monte Carlo sampling and the training of neural networks. Automatic differentiation is a powerful tool to automate the…

Mathematical Software · Computer Science 2019-03-27 Charles C. Margossian

Recent theoretical work on automatic differentiation (autodiff) has focused on characteristics such as correctness and efficiency while assuming that all derivatives are automatically generated by autodiff using program transformation, with…

Programming Languages · Computer Science 2024-08-15 Sam Estep

Operator overloading algorithmic differentiation (AD) tools are usually only developed for floating-point values. Algorithmic optimization for, e.g., linear systems solvers or matrix-matrix multiplications are often introduced via external…

Mathematical Software · Computer Science 2025-08-08 Max Sagebaum , Nicolas R. Gauger

This paper presents our work toward correct and efficient automatic differentiation of OpenMP parallel worksharing loops in forward and reverse mode. Automatic differentiation is a method to obtain gradients of numerical programs, which are…

Mathematical Software · Computer Science 2021-11-04 Jan Hückelheim , Laurent Hascoët

Derivative-based algorithms are ubiquitous in statistics, machine learning, and applied mathematics. Automatic differentiation offers an algorithmic way to efficiently evaluate these derivatives from computer programs that execute relevant…

Computation · Statistics 2022-03-01 Charles C. Margossian , Michael Betancourt

To alleviate the reliance of deep neural networks on large-scale datasets, dataset distillation aims to generate compact, high-quality synthetic datasets that can achieve comparable performance to the original dataset. The integration of…

Computer Vision and Pattern Recognition · Computer Science 2025-07-18 Mingzhuo Li , Guang Li , Jiafeng Mao , Linfeng Ye , Takahiro Ogawa , Miki Haseyama

We present a technique for automatically generating features for data-driven program analyses. Recently data-driven approaches for building a program analysis have been proposed, which mine existing codebases and automatically learn…

Programming Languages · Computer Science 2017-01-02 Kwonsoo Chae , Hakjoo Oh , Kihong Heo , Hongseok Yang

Applying differentiable programming techniques and machine learning algorithms to foreign programs requires developers to either rewrite their code in a machine learning framework, or otherwise provide derivatives of the foreign code. This…

Mathematical Software · Computer Science 2022-08-05 William S. Moses , Valentin Churavy

Tools for algorithmic differentiation (AD) provide accurate derivatives of computer-implemented functions for use in, e. g., optimization and machine learning (ML). However, they often require the source code of the function to be available…

Mathematical Software · Computer Science 2022-12-29 Max Aehle , Johannes Blühdorn , Max Sagebaum , Nicolas R. Gauger

Algorithmic Differentiation (AD) can be used to automate the generation of derivatives in arbitrary software projects. This will generate maintainable derivatives, that are always consistent with the computation of the software. If a domain…

Mathematical Software · Computer Science 2018-03-13 Max Sagebaum , Nicolas R. Gauger

Algorithmic differentiation (AD) allows exact computation of derivatives given only an implementation of an objective function. Although many AD tools are available, a proper and efficient implementation of AD methods is not…

Mathematical Software · Computer Science 2018-07-27 Filip Šrajer , Zuzana Kukelova , Andrew Fitzgibbon

Deductive verification has become a mature paradigm for the verification of industrial software. Applying deductive verification, however, requires that every function in the code base is annotated with a function contract specifying its…

Logic in Computer Science · Computer Science 2025-01-22 Jesper Amilon , Dilian Gurov , Christian Lidström , Mattias Nyberg , Gustav Ung , Ola Wingbrant

We introduce an algorithm that simplifies the construction of efficient estimators, making them accessible to a broader audience. 'Dimple' takes as input computer code representing a parameter of interest and outputs an efficient estimator.…

Methodology · Statistics 2025-06-17 Alex Luedtke

There are several AD tools available, which all implement different strategies for the reverse mode of AD. The major strategies are primal value taping (implemented e.g. by ADOL-c) and Jacobi taping (implemented e.g. by adept and dco/c++).…

Mathematical Software · Computer Science 2017-09-22 Max Sagebaum , Tim Albring , Nicolas R. Gauger

This paper presents a new functionality of the Automatic Differentiation (AD) tool Tapenade. Tapenade generates adjoint codes which are widely used for optimization or inverse problems. Unfortunately, for large applications the adjoint code…

Data Structures and Algorithms · Computer Science 2007-05-23 Laurent Hascoet , Mauricio Araya-Polo

En este trabajo se presenta una propuesta para realizar Diferenciaci\'on Autom\'atica Anidada utilizando cualquier biblioteca de Diferenciaci\'on Autom\'atica que permita sobrecarga de operadores. Para calcular las derivadas anidadas en una…

Symbolic Computation · Computer Science 2014-05-20 Juan Luis Valerdi , Fernando Raul Rodriguez

We consider the problem of efficiently computing the derivative of the solution map of a convex cone program, when it exists. We do this by implicitly differentiating the residual map for its homogeneous self-dual embedding, and solving the…

Optimization and Control · Mathematics 2020-05-21 Akshay Agrawal , Shane Barratt , Stephen Boyd , Enzo Busseti , Walaa M. Moursi

Software documentation is an essential but labor intensive task that often requires a dedicated team of developers to ensure coverage and accuracy. Good documentation will help shorten the development cycle and improve the overall team…

Software Engineering · Computer Science 2017-01-31 Thomas Zheng , Jeff Shaw , Sergey Kozlov

Automated Scientific Discovery (ASD) systems can help automatically generate and run code-based experiments, but their capabilities are limited by the code they can reliably generate from parametric knowledge alone. As a result, current…

Artificial Intelligence · Computer Science 2026-05-18 Peter Jansen , Samiah Hassan , Pragnya Narasimha

Predicting multiple functions labeled with Enzyme Commission (EC) numbers from the enzyme sequence is of great significance but remains a challenge due to its sparse multi-label classification nature, i.e., each enzyme is typically…

Biomolecules · Quantitative Biology 2025-06-09 Zhao Yang , Bing Su , Jiahao Chen , Ji-Rong Wen
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