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We demonstrate how methods in Functional Programming can be used to implement a computer algebra system. As a proof-of-concept, we present the computational-algebra package. It is a computer algebra system implemented as an embedded…

Symbolic Computation · Computer Science 2018-10-02 Hiromi Ishii

Although large-scale visual foundation models (VFMs) achieve remarkable performance in semantic understanding, they still underperform in instance-aware dense prediction tasks. They exhibit different biases in representation: for instance,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Yachan Guo , JoseLuis Gomez Zurita , Danna Xue , Yi Xiao , AntonioManuel Lopez Pena

We present a technique for automatically transforming kernel-based computations in disparate, nested loops into a fused, vectorized form that can reduce intermediate storage needs and lead to improved performance on contemporary hardware.…

Performance · Computer Science 2017-10-25 Jason Sewall , Simon J. Pennycook

A large amount of numerically-oriented code is written and is being written in legacy languages. Much of this code could, in principle, make good use of data-parallel throughput-oriented computer architectures. Loo.py, a…

Programming Languages · Computer Science 2015-05-19 Andreas Klöckner

Mixed integer nonlinear programming (MINLP) problems are encountered in modeling a physical/industrial process consisting both nonlinearity and discrete selective parameters. There are variety of algorithms for solving MINLP problems most…

Optimization and Control · Mathematics 2024-05-17 Negin Bagherpour , Mahdi Sharifzadeh

Partial correctness of imperative or functional programming divides in logic programming into two notions. Correctness means that all answers of the program are compatible with the specification. Completeness means that the program produces…

Logic in Computer Science · Computer Science 2025-08-26 Włodzimierz Drabent

Combinatorial optimization problems pose significant computational challenges across various fields, from logistics to cryptography. Traditional computational methods often struggle with their exponential complexity, motivating exploration…

Quantum Physics · Physics 2024-09-24 Mateusz Slysz , Krzysztof Kurowski , Grzegorz Waligóra

We introduce a novel algorithm for the task of coherently controlling a quantum mechanical system to implement any chosen unitary dynamics. It performs faster than existing state of the art methods by one to three orders of magnitude…

Quantum Physics · Physics 2015-06-04 Pierre de Fouquieres

Stakeholders' expectations and technology constantly evolve during the lengthy development cycles of a large-scale computer based system. Consequently, the traditional approach of baselining requirements results in an unsatisfactory system…

Software Engineering · Computer Science 2016-11-18 Ramya Ravichandar , James D. Arthur , Robert P. Broadwater

The use of quantum processing units (QPUs) promises speed-ups for solving computational problems. Yet, current devices are limited by the number of qubits and suffer from significant imperfections, which prevents achieving quantum…

Quantum Physics · Physics 2023-06-08 Hila Safi , Karen Wintersperger , Wolfgang Mauerer

Physical Unclonable Functions can be used for secure key generation in cryptographic applications. It is explained how methods from coding theory must be applied in order to ensure reliable key regeneration. Based on previous work, we show…

Information Theory · Computer Science 2014-07-31 Sven Müelich , Sven Puchinger , Martin Bossert , Matthias Hiller , Georg Sigl

Sequential algorithms are popular for experimental design, enabling emulation, optimisation and inference to be efficiently performed. For most of these applications bespoke software has been developed, but the approach is general and many…

Computation · Statistics 2021-10-18 Matthew A. Fisher , Onur Teymur , Chris. J. Oates

Federated scheduling is a promising approach to schedule parallel real-time tasks on multi-cores, where each heavy task exclusively executes on a number of dedicated processors, while light tasks are treated as sequential sporadic tasks and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-10 Xu Jiang , Nan Guan , Xiang Long , Wang Yi

We address problems underlying the algorithmic question of automating the co-design of robot hardware in tandem with its apposite software. Specifically, we consider the impact that degradations of a robot's sensor and actuation suites may…

Artificial Intelligence · Computer Science 2018-07-25 Fatemeh Zahra Saberifar , Shervin Ghasemlou , Dylan A. Shell , Jason M. O'Kane

Combinational creativity, a form of creativity involving the blending of familiar ideas, is pivotal in design innovation. While most research focuses on how combinational creativity in design is achieved through blending elements, this…

Artificial Intelligence · Computer Science 2024-05-09 Liuqing Chen , Shuhong Xiao , Yunnong Chen , Linyun Sun , Peter R. N. Childs , Ji Han

Many current and near-future applications of quantum computing utilise parametric families of quantum circuits and variational methods to find optimal values for these parameters. Solving a quantum computational problem with such…

Quantum Physics · Physics 2025-08-05 Tobias Hartung , Karl Jansen

Simulation and modeling are essential in product development, integrated into the design and manufacturing process to enhance efficiency and quality. They are typically represented as complex nonlinear differential algebraic equations. The…

Machine Learning · Computer Science 2026-03-25 Wenqiang Yang , Wenyuan Wu , Yong Feng , Changbo Chen

Many combinatorial optimisation problems hide algebraic structures that, once exposed, shrink the search space and improve the chance of finding the global optimal solution. We present a general framework that (i) identifies algebraic…

Artificial Intelligence · Computer Science 2026-04-08 Min Sun , Federica Storti , Valentina Martino , Miguel Gonzalez-Andrades , Tony Kam-Thong

The paper presents investigations on the implementation and performance of the finite element numerical integration algorithm for first order approximations and three processor architectures, popular in scientific computing, classical CPU,…

Mathematical Software · Computer Science 2016-05-25 Krzysztof Banaś , Filip Krużel , Jan Bielański

We present a composable design scheme for the development of hybrid quantum/classical algorithms and workflows for applications of quantum simulation. Our object-oriented approach is based on constructing an expressive set of common data…