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Recent research in mathematics education points to an "epistemic clash" when programming and computational thinking (CT) are leveraged alongside more established forms of mathematical thinking (MT). The emergence of generative AI emphasises…

History and Overview · Mathematics 2026-05-13 Jan-Fredrik Olsen , Tor Ole B Odden , Elise Lockwood

We propose integration of reasoning into speech large language models (speechLLMs) for the end-to-end slot-filling task. Inspired by the recent development of reasoning LLMs, we use a chain-of-thought framework to decompose the slot-filling…

Computation and Language · Computer Science 2026-02-04 Kadri Hacioglu , Manjunath K E , Andreas Stolcke

This monograph, written for educational purposes, serves as an introduction to the concept of integrability as it applies to systems of differential equations (both ordinary and partial) as well as to vector-valued fields. The general cases…

General Mathematics · Mathematics 2019-10-11 C. J. Papachristou

This paper reviews the entire engineering process of trustworthy Machine Learning (ML) algorithms designed to equip critical systems with advanced analytics and decision functions. We start from the fundamental principles of ML and describe…

Software Engineering · Computer Science 2022-10-03 Juliette Mattioli , Agnes Delaborde , Souhaiel Khalfaoui , Freddy Lecue , Henri Sohier , Frederic Jurie

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

A plausible definition of "reasoning" could be "algebraically manipulating previously acquired knowledge in order to answer a new question". This definition covers first-order logical inference or probabilistic inference. It also includes…

Artificial Intelligence · Computer Science 2011-02-14 Leon Bottou

While large language models (LLMs) have demonstrated remarkable reasoning capabilities, they often struggle with complex tasks that require specific thinking paradigms, such as divide-and-conquer and procedural deduction, \etc Previous…

Software Engineering · Computer Science 2025-06-05 Kechi Zhang , Ge Li , Jia Li , Huangzhao Zhang , Jingjing Xu , Hao Zhu , Lecheng Wang , Jia Li , Yihong Dong , Jing Mai , Bin Gu , Zhi Jin

Although feature models are widely used in practice, for example, representing variability in software product lines, their integration is still a challenge. Many integration techniques have been proposed, although none of these have proven…

Software Engineering · Computer Science 2018-10-01 Vinicius Bischoff

This work discusses how to build more rational language and multimodal agents and what criteria define rationality in intelligent systems. Rationality is the quality of being guided by reason, characterized by decision-making that aligns…

Artificial Intelligence · Computer Science 2025-02-18 Bowen Jiang , Yangxinyu Xie , Xiaomeng Wang , Yuan Yuan , Zhuoqun Hao , Xinyi Bai , Weijie J. Su , Camillo J. Taylor , Tanwi Mallick

Context. The security of critical infrastructure has been a pressing concern since the advent of computers and has become even more critical in today's era of cyber warfare. Protecting mission-critical systems (MCSs), essential for national…

Cryptography and Security · Computer Science 2025-01-13 Matteo Esposito , Francesco Palagiano , Valentina Lenarduzzi , Davide Taibi

Machine Translation (MT) tools are widely used today, often in contexts where professional translators are not present. Despite progress in MT technology, a gap persists between system development and real-world usage, particularly for…

This article introduces an innovative architecture designed to declaratively combine Large Language Models (LLMs) with shared histories, and triggers to identify the most appropriate LLM for a given task. Our approach is general and…

Formal Languages and Automata Theory · Computer Science 2024-09-24 Thierry Petit , Arnault Pachot , Claire Conan-Vrinat , Alexandre Dubarry

Morphisms, structure preserving maps, are everywhere in Mathematics as useful tools for thinking and problem solving, or as objects to study. Here, we argue that the idea of operations being compatible across two domains goes beyond its…

History and Overview · Mathematics 2025-06-11 Attila Egri-Nagy , Miklós Hoffmann

Integrating diverse formalisms into modular knowledge representation systems offers increased expressivity, modeling convenience and computational benefits. We introduce concepts of abstract modules and abstract modular systems to study…

Artificial Intelligence · Computer Science 2013-12-24 Yuliya Lierler , Miroslaw Truszczynski

Deep learning based data-driven approaches have been successfully applied in various image understanding applications ranging from object recognition, semantic segmentation to visual question answering. However, the lack of knowledge…

Computer Vision and Pattern Recognition · Computer Science 2019-06-25 Somak Aditya , Yezhou Yang , Chitta Baral

We review state-of-the-art formal methods applied to the emerging field of the verification of machine learning systems. Formal methods can provide rigorous correctness guarantees on hardware and software systems. Thanks to the availability…

Programming Languages · Computer Science 2021-04-22 Caterina Urban , Antoine Miné

This paper presents SYMBIOSIS, an AI-powered framework and platform designed to make Systems Thinking accessible for addressing societal challenges and unlock paths for leveraging systems thinking frameworks to improve AI systems. The…

Computers and Society · Computer Science 2025-03-11 Sameer Sethi , Donald Martin , Emmanuel Klu

Multimodal Mathematical Reasoning (MMR) has recently attracted increasing attention for its capability to solve mathematical problems involving both textual and visual modalities. However, current models still face significant challenges in…

Artificial Intelligence · Computer Science 2026-04-15 Tianyu Yang , Sihong Wu , Yilun Zhao , Zhenwen Liang , Lisen Dai , Chen Zhao , Minhao Cheng , Arman Cohan , Xiangliang Zhang

The development of Machine Learning (ML) based systems is complex and requires multidisciplinary teams with diverse skill sets. This may lead to communication issues or misapplication of best practices. Process models can alleviate these…

Software Engineering · Computer Science 2024-08-29 Sergio Morales , Robert Clarisó , Jordi Cabot

Logic gates can be written in terms of complex differential operators, where the inputs and outputs are holomorphic functions with several variables. Using the polar representation of complex numbers, we arrive at an immediate connection…

Quantum Physics · Physics 2024-12-05 M. W. AlMasri