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Automatic differentiation is a set of techniques to efficiently and accurately compute the derivative of a function represented by a computer program. Existing C++ libraries for automatic differentiation (e.g. Adept, Stan Math Library),…

Mathematical Software · Computer Science 2021-02-09 James Yang

We present ensmallen, a fast and flexible C++ library for mathematical optimization of arbitrary user-supplied functions, which can be applied to many machine learning problems. Several types of optimizations are supported, including…

Mathematical Software · Computer Science 2018-12-11 Shikhar Bhardwaj , Ryan R. Curtin , Marcus Edel , Yannis Mentekidis , Conrad Sanderson

We overview the ensmallen numerical optimization library, which provides a flexible C++ framework for mathematical optimization of user-supplied objective functions. Many types of objective functions are supported, including general,…

Mathematical Software · Computer Science 2024-02-12 Ryan R. Curtin , Marcus Edel , Rahul Ganesh Prabhu , Suryoday Basak , Zhihao Lou , Conrad Sanderson

This report provides an introduction to the ensmallen numerical optimization library, as well as a deep dive into the technical details of how it works. The library provides a fast and flexible C++ framework for mathematical optimization of…

Mathematical Software · Computer Science 2023-11-16 Ryan R. Curtin , Marcus Edel , Rahul Ganesh Prabhu , Suryoday Basak , Zhihao Lou , Conrad Sanderson

In this era of diverse and heterogeneous computer architectures, the programmability issues, such as productivity and portable efficiency, are crucial to software development and algorithm design. One way to approach the problem is to step…

Mathematical Software · Computer Science 2012-07-10 Mauro Bianco , Ugo Varetto

Mata is a well-engineered automata library written in C++ that offers a unique combination of speed and simplicity. It is meant to serve in applications such as string constraint solving and reasoning about regular expressions, and as…

Formal Languages and Automata Theory · Computer Science 2024-03-29 David Chocholatý , Tomáš Fiedor , Vojtěch Havlena , Lukáš Holík , Martin Hruška , Ondřej Lengál , Juraj Síč

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

We present the C++ library CppSs (C++ super-scalar), which provides efficient task-parallelism without the need for special compilers or other software. Any C++ compiler that supports C++11 is sufficient. CppSs features different…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-27 Steffen Brinkmann , Jose Gracia

When implementing functionality which requires sparse matrices, there are numerous storage formats to choose from, each with advantages and disadvantages. To achieve good performance, several formats may need to be used in one program,…

Mathematical Software · Computer Science 2019-10-22 Conrad Sanderson , Ryan Curtin

Computer vision and robotics problems often require representation and estimation of poses on the SE(3) manifold. Developers of algorithms that must run in real time face several time-consuming programming tasks, including deriving and…

Robotics · Computer Science 2018-05-07 Leonid Koppel , Steven L. Waslander

Developing software to effectively take advantage of growth in parallel and distributed processing capacity poses significant challenges. Traditional programming techniques allow a user to assume that execution, message passing, and memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-24 Matthew Andres Moreno , Santiago Rodriguez Papa , Charles Ofria

Despite the importance of sparse matrices in numerous fields of science, software implementations remain difficult to use for non-expert users, generally requiring the understanding of underlying details of the chosen sparse matrix storage…

Mathematical Software · Computer Science 2019-07-23 Conrad Sanderson , Ryan Curtin

The article deals with a kind of recursive function templates in C++, where the recursion is realized corresponding template parameters to achieve better computational performance. Some specialization of these template functions ends the…

Mathematical Software · Computer Science 2007-05-23 Volodymyr Myrnyy

This document presents a new C++ Automatic Differentiation (AD) tool, AD-HOC (Automatic Differentiation for High-Order Calculations). This tool aims to have the following features: -Calculation of user specified derivatives of arbitrary…

Mathematical Software · Computer Science 2024-12-13 Juan Lucas Rey

We introduce the Control Toolbox (CT), an open-source C++ library for efficient modeling, control, estimation, trajectory optimization and Model Predictive Control. The CT is applicable to a broad class of dynamic systems but features…

Robotics · Computer Science 2018-07-04 Markus Giftthaler , Michael Neunert , Markus Stäuble , Jonas Buchli

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

Applied research in graph algorithms and combinatorial structures needs comprehensive and versatile software libraries. However, the design and the implementation of flexible libraries are challenging activities. Among the other problems…

Software Engineering · Computer Science 2007-05-23 Maurizio Pizzonia , Giuseppe Di Battista

Although many active scientific codes use modern Fortran, most contemporary scientific software "libraries" are implemented in C and C++. Providing their numerical, algorithmic, or data management features to Fortran codes requires writing…

Software Engineering · Computer Science 2019-07-04 Seth R. Johnson , Andrey Prokopenko , Katherine J. Evans

Quantum trajectory methods can be used for a wide range of open quantum systems to solve the master equation by unraveling the density operator evolution into individual stochastic trajectories in Hilbert space. This C++ class library…

Quantum Physics · Physics 2009-10-30 Ruediger Schack , Todd A. Brun

This paper provides the description of a novel, multi-purpose spline library. In accordance with the increasingly diverse modes of usage of splines, it is multi-purpose in the sense that it supports geometry representation, finite element…

Mathematical Software · Computer Science 2020-02-28 Markus Frings , Norbert Hosters , Corinna Müller , Max Spahn , Christoph Susen , Konstantin Key , Stefanie Elgeti
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