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While deep learning excels in natural image and language processing, its application to high-dimensional data faces computational challenges due to the dimensionality curse. Current large-scale data tools focus on business-oriented…

Machine Learning · Computer Science 2025-07-01 Chen Zhang

This study investigates the application of large language models, specifically GPT-4, to enhance programming education. The research outlines the design of a web application that uses GPT-4 to provide feedback on programming tasks, without…

Computation and Language · Computer Science 2024-07-19 Sven Jacobs , Steffen Jaschke

We study word series and extended word series, classes of formal series for the analysis of some dynamical systems and their discretizations. These series are similar to but more compact than B-series. They may be composed among themselves…

Numerical Analysis · Mathematics 2015-12-01 Ander Murua , J. M. Sanz-Serna

Distributions on integers are ubiquitous in probabilistic modeling but remain challenging for many of today's probabilistic programming languages (PPLs). The core challenge comes from discrete structure: many of today's PPL inference…

Artificial Intelligence · Computer Science 2023-07-27 William X. Cao , Poorva Garg , Ryan Tjoa , Steven Holtzen , Todd Millstein , Guy Van den Broeck

The universal object oriented languages made programming more simple and efficient. In the article is considered possibilities of using similar methods in computer algebra. A clear and powerful universal language is useful if particular…

Programming Languages · Computer Science 2016-08-31 Alexander Yu. Vlasov

Recently, large language models (LLMs) enhanced by self-reflection have achieved promising performance on machine translation. The key idea is guiding LLMs to generate translation with human-like feedback. However, existing self-reflection…

Computation and Language · Computer Science 2024-06-24 Andong Chen , Lianzhang Lou , Kehai Chen , Xuefeng Bai , Yang Xiang , Muyun Yang , Tiejun Zhao , Min Zhang

The development of effective machine learning methodologies for enhancing the efficiency and accuracy of clinical systems is crucial. Despite significant research efforts, managing a plethora of diversified clinical tasks and adapting to…

Computation and Language · Computer Science 2024-06-19 Yujiang Wu , Hongjian Song , Jiawen Zhang , Xumeng Wen , Shun Zheng , Jiang Bian

Complex Word Identification (CWI) is an essential step in the lexical simplification task and has recently become a task on its own. Some variations of this binary classification task have emerged, such as lexical complexity prediction…

Computation and Language · Computer Science 2024-11-05 Răzvan-Alexandru Smădu , David-Gabriel Ion , Dumitru-Clementin Cercel , Florin Pop , Mihaela-Claudia Cercel

We present the Julia interface Polymake.jl to polymake, a software for research in polyhedral geometry. We describe the technical design and how the integration into Julia makes it possible to combine polymake with state-of-the-art…

Combinatorics · Mathematics 2020-03-26 Marek Kaluba , Benjamin Lorenz , Sascha Timme

This proposal discusses the growing challenges in reverse engineering modern software binaries, particularly those compiled from newer system programming languages such as Rust, Go, and Mojo. Traditional reverse engineering techniques,…

Software Engineering · Computer Science 2025-06-05 Zhuo Zhuo , Xiangyu Zhang

Researchers are often perplexed when their machine learning algorithms are required to deal with complex number. Various strategies are commonly employed to project complex number into real number, although it is frequently sacrificing the…

Numerical Analysis · Computer Science 2018-04-03 Satrya Fajri Pratama , Azah Kamilah Muda , Yun-Huoy Choo

In this review we present hyper-dual numbers as a tool for the automatic differentiation of computer programs via operator overloading. We start with a motivational introduction into the ideas of algorithmic differentiation. Then we…

Mathematical Software · Computer Science 2018-01-16 Martin Neuenhofen

In considering the reliability of numerical programs, it is normal to "limit our study to the semantics dealing with numerical precision" (Martel, 2005). On the other hand, there is a great deal of work on the reliability of programs that…

Symbolic Computation · Computer Science 2014-04-25 James H. Davenport , Russell Bradford , Matthew England , David Wilson

Discrete mathematics is the foundation of computer science. It focuses on concepts and reasoning methods that are studied using math notations. It has long been argued that discrete math is better taught with programming, which takes…

Computers and Society · Computer Science 2021-10-07 Yanhong A. Liu , Matthew Castelllana

Traditional computers work with finite numbers. Situations where the usage of infinite or infinitesimal quantities is required are studied mainly theoretically. In this paper, a recently introduced computational methodology (that is not…

Numerical Analysis · Mathematics 2012-03-15 Yaroslav D. Sergeyev

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

The evergrowing computational complexity of High Performance Computing applications is often met with an horizontal scalling of computing systems. Colaterally, each added node risks being a single point of failure to parallel programs,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-04 Marcos Irigoyen , Carla Santana , Ramon C. F Araújo , Samuel Xavier-de-Souza

Fractals offer the ability to generate fascinating geometric shapes with all sorts of unique characteristics (for instance, fractal geometry provides a basis for modelling infinite detail found in nature). While fractals are non-euclidean…

Computational Geometry · Computer Science 2023-03-28 Ben Kenwright

Numbers are a basic part of how humans represent and describe the world around them. As a consequence, learning effective representations of numbers is critical for the success of large language models as they become more integrated into…

Computation and Language · Computer Science 2025-02-04 Raja Marjieh , Veniamin Veselovsky , Thomas L. Griffiths , Ilia Sucholutsky

Artificial Intelligence (AI) applications in automation systems are usually distributed systems whose development and integration involve several experts. Each expert uses its own domain-specific modeling language and tools to model the…

Artificial Intelligence · Computer Science 2023-06-22 Marvin Schieseck , Philip Topalis , Alexander Fay