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In CAGD/CAD research and education, users are involved with development of mathematical algorithms and followed by the analysis of the resultant algorithm. This process involves geometric display which can only be carried out with high end…

Computers and Society · Computer Science 2013-03-15 R. U. Gobithaasan , M. A Jamaludin

Projective geometry provides the preferred framework for most implementations of Euclidean space in graphics applications. Translations and rotations are both linear transformations in projective geometry, which helps when it comes to…

Computational Geometry · Computer Science 2007-05-23 Chris Doran , Anthony Lasenby , Joan Lasenby

Machine learning models are widely used for real-world applications, such as document analysis and vision. Constrained machine learning problems are problems where learned models have to both be accurate and respect constraints. For…

Machine Learning · Computer Science 2021-12-03 Guillaume Perez , Sebastian Ament , Carla Gomes , Arnaud Lallouet

The Geant4 toolkit is the standard for simulating the passage of particles through matter, but its conventional architecture often requires users to modify and recompile C++ code to alter fundamental simulation parameters such as geometry,…

High Energy Physics - Experiment · Physics 2025-12-13 Jing Liu

The expanding hardware diversity in high performance computing adds enormous complexity to scientific software development. Developers who aim to write maintainable software have two options: 1) To use a so-called data locality abstraction…

Software Engineering · Computer Science 2023-11-10 Andreas Hadjigeorgiou , Christodoulos Stylianou , Michele Weiland , Dirk Jacob Verschuur , Jacob Finkenrath

Geometric modeling by constraints, whose applications are of interest to communities from various fields such as mechanical engineering, computer aided design, symbolic computation or molecular chemistry, is now integrated into standard…

Computational Geometry · Computer Science 2018-03-06 Samy Ait-Aoudia , Adel Moussaoui , Khaled Abid , Dominique Michelucci

We introduce cilantro, an open-source C++ library for geometric and general-purpose point cloud data processing. The library provides functionality that covers low-level point cloud operations, spatial reasoning, various methods for point…

Computer Vision and Pattern Recognition · Computer Science 2018-11-19 Konstantinos Zampogiannis , Cornelia Fermuller , Yiannis Aloimonos

The simplicity of Python and the power of C++ force stark choices on a scientific software stack. There have been multiple developments to mitigate language boundaries by implementing language bindings, but the impedance mismatch between…

Programming Languages · Computer Science 2023-04-07 Baidyanath Kundu , Vassil Vassilev , Wim Lavrijsen

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

Vector operations play an important role in high performance computing and are typically provided by highly optimized libraries that implement the BLAS (Basic Linear Algebra Subprograms) interface. In C++ templates and operator overloading…

Mathematical Software · Computer Science 2011-09-07 J. Progsch , Y. Ineichen , A. Adelmann

We describe a new C++ library for multiprecision arithmetic for numbers in the order of 100--500 bits, i.e., representable with just a few limbs. The library is written in "optimizing-compiler-friendly" C++, with an emphasis on the use of…

Cryptography and Security · Computer Science 2018-04-20 Niek J. Bouman

Computer Algebra systems are widely spread because of some of their remarkable features such as their ease of use and performance. Nonetheless, this focus on performance sometimes leads to unwanted consequences: algorithms and computations…

Logic in Computer Science · Computer Science 2014-01-27 Jesús Aransay , Jose Divasón

Abstract geometrical computation can solve hard combinatorial problems efficiently: we showed previously how Q-SAT can be solved in bounded space and time using instance-specific signal machines and fractal parallelization. In this article,…

Computational Complexity · Computer Science 2015-03-19 Denys Duchier , Jérôme Durand-Lose , Maxime Senot

Scalable learning for planning research generally involves juggling between different programming languages for handling learning and planning modules effectively. Interpreted languages such as Python are commonly used for learning routines…

Artificial Intelligence · Computer Science 2024-11-04 Dillon Z. Chen

Software testing has received much attention over the last years and has reached such critical importance that agile software development practices put software testing at its core. Agile software development is successfully applied in…

Software Engineering · Computer Science 2020-10-09 Tom-Robin Teschner

We present a generalized framework for cellular/lattice based visualizations in two dimensions based on state of the art computing abstractions. Our implementation takes the form of a library of reusable functions written in C++ which hides…

Condensed Matter · Physics 2009-10-30 Mark Burgess , Haarek Haugerud , Are Strandlie

The geometry of atomic arrangement underpins the structural understanding of molecules in many fields. However, no general framework of mathematical/computational theory for the geometry of atomic arrangement exists. Here we present…

Generating novel active molecules for a given protein is an extremely challenging task for generative models that requires an understanding of the complex physical interactions between the molecule and its environment. In this paper, we…

Mathematical software has traditionally been built in the form of "packages" that build on each other. A substantial fraction of these packages is written in C++ and, as a consequence, the interface of a package is described in the form of…

Software Engineering · Computer Science 2026-05-07 Wolfgang Bangerth

Geometric algebra (GA) is a mathematical tool for geometric computing, providing a framework that allows a unified and compact approach to geometric relations which in other mathematical systems are typically described using different more…

Mathematical Software · Computer Science 2025-05-09 Manel Velasco , Isiah Zaplana , Arnau Dória-Cerezo , Pau Martí