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Estimating uncertainties associated with the predictions of Machine Learning (ML) models is of crucial importance to assess their robustness and predictive power. In this submission, we introduce MAPIE (Model Agnostic Prediction Interval…

Machine Learning · Statistics 2022-07-26 Vianney Taquet , Vincent Blot , Thomas Morzadec , Louis Lacombe , Nicolas Brunel

The IEEE 1788-2015 standard for interval arithmetic defines three accuracy modes for the so-called set-based flavor: tightest, accurate and valid. This work in progress focuses on the accurate mode.First, an introduction to interval…

Numerical Analysis · Mathematics 2023-08-22 Nathalie Revol

This paper presents an open-source neural machine translation toolkit named CytonMT (https://github.com/arthurxlw/cytonMt). The toolkit is built from scratch only using C++ and NVIDIA's GPU-accelerated libraries. The toolkit features…

Computation and Language · Computer Science 2018-06-05 Xiaolin Wang , Masao Utiyama , Eiichiro Sumita

This article discusses an efficient implementation of tensors of arbitrary rank by using some of the idioms introduced by the recently published C++ ISO Standard (C++11). With the aims at providing a basic building block for…

Mathematical Software · Computer Science 2014-06-02 Alejandro M. Aragón

A brief introduction into Idempotent Mathematics and an idempotent version of Interval Analysis are presented. Some applications are discussed.

Numerical Analysis · Mathematics 2025-10-20 Grigori Litvinov , Viktor Maslov , Andrei Sobolevskii

In this paper, we propose the Templet -- a runtime system for actor programming of high performance computing in C++. We provide a compact source code of the runtime system, which uses standard library of C++11 only. We demonstrate how it…

Programming Languages · Computer Science 2017-02-20 Sergey Vostokin , Ekaterina Skoryupina

Vector programming is an important topic in many Introduction to Computer Science courses. Despite the importance of vectors, learning vector programming is a source for frustration to many students given that they feel left adrift when it…

Programming Languages · Computer Science 2018-05-19 Marco T. Morazán

It is becoming increasingly clear that, if a useful device for quantum computation will ever be built, it will be embodied by a classical computing machine with control over a truly quantum subsystem, this apparatus performing a mixture of…

Programming Languages · Computer Science 2009-11-07 S. Bettelli , L. Serafini , T. Calarco

MLPACK is a state-of-the-art, scalable, multi-platform C++ machine learning library released in late 2011 offering both a simple, consistent API accessible to novice users and high performance and flexibility to expert users by leveraging…

Mathematical Software · Computer Science 2021-06-24 Ryan R. Curtin , James R. Cline , N. P. Slagle , William B. March , Parikshit Ram , Nishant A. Mehta , Alexander G. Gray

The C/C++ memory model provides an interface and execution model for programmers of concurrent (shared-variable) code. It provides a range of mechanisms that abstract from underlying hardware memory models -- that govern how multicore…

Programming Languages · Computer Science 2022-04-08 Robert J. Colvin

This paper presents a systematic study of the calculus of interval-valued functions and its application to interval differential equations. To this end, first, we introduce new interval arithmetic operations. Under new operations, the space…

General Mathematics · Mathematics 2025-12-01 Wei Liu , Muhammad Aamir Ali , Yanrong An

Here practical aspects of conducting research via computer simulations are discussed. The following issues are addressed: software engineering, object-oriented software development, programming style, macros, make files, scripts, libraries,…

Condensed Matter · Physics 2009-02-02 Alexander K. Hartmann , Heiko Rieger

In this work we use intersection of different pseudo-orbits obtained by interval extensions to reduce the bounds of the exact solution provided by the toolbox Intlab. The method is applied on the logistic map.

Numerical Analysis · Mathematics 2016-12-28 H. M. Rodrigues Junior , M. L. C. Peixoto , E. G. Nepomuceno

We introduce the Bandicoot C++ library for linear algebra and scientific computing on GPUs, overviewing its user interface and performance characteristics, as well as the technical details of its internal design. Bandicoot is the…

Mathematical Software · Computer Science 2025-09-23 Ryan R. Curtin , Marcus Edel , Conrad Sanderson

Performance, genericity and flexibility are three valuable qualities for scientific environments that tend to be antagonistic. C++ provides excellent support for both performances and genericity thanks to its support for (class and…

Software Engineering · Computer Science 2016-11-04 Akim Demaille

We propose a method for estimating disparity confidence intervals in stereo matching problems. Confidence intervals provide complementary information to usual confidence measures. To the best of our knowledge, this is the first method…

Computer Vision and Pattern Recognition · Computer Science 2024-04-10 Roman Malinowski , Emmanuelle Sarrazin , Loïc Dumas , Emmanuel Dubois , Sébastien Destercke

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

We present the CAPD::DynSys library for rigorous numerical analysis of dynamical systems. The basic interface is described together with several interesting case studies illustrating how it can be used for computer-assisted proofs in…

Numerical Analysis · Mathematics 2021-07-28 Tomasz Kapela , Marian Mrozek , Daniel Wilczak , Piotr Zgliczyński

C++ leans towards a memory-inefficient storage of structs: The compiler inserts padding bits, while it is not able to exploit knowledge about the range of integers, enums or bitsets. Furthermore, the language provides no support for…

Mathematical Software · Computer Science 2025-12-23 Pawel K. Radtke , Cristian G. Barrera-Hinojosa , Mladen Ivkovic , Tobias Weinzierl

We introduce a C++ header-only library that is used to solve the axion equation of motion, MiMeS. MiMeS makes no assumptions regarding the cosmology and the mass of the axion, which allows the user to consider various cosmological scenarios…

High Energy Physics - Phenomenology · Physics 2022-03-14 Dimitrios Karamitros