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In this short review, we trace the evolution of inference in astronomy, highlighting key milestones rather than providing an exhaustive survey. We focus on the shift from classical optimization to Bayesian inference, the rise of…

Instrumentation and Methods for Astrophysics · Physics 2025-10-21 Rafael S. de Souza , Emille E. O. Ishida , Alberto Krone-Martins

Automated theorem proving has long been a key task of artificial intelligence. Proofs form the bedrock of rigorous scientific inquiry. Many tools for both partially and fully automating their derivations have been developed over the last…

Artificial Intelligence · Computer Science 2018-10-15 Brian Groenke

In this paper we examine the potential of computer-assisted proof methods to be applied much more broadly than commonly recognized. More specifically, we contend that there are vast opportunities to derive useful mathematical results and…

Logic in Computer Science · Computer Science 2021-05-27 Jeffrey Uhlmann , Jie Wang

Recent applications of machine learning and statistical inference provide case studies demonstrating how such approaches can accelerate the discovery process in physical chemistry and related fields. Examples discussed in this review…

Chemical Physics · Physics 2017-06-20 Ryan B. Jadrich , Beth A. Lindquist , Thomas M. Truskett

Artificial intelligence (AI) has a history of nearly a century from its inception to the present day. We have summarized the development trends and discovered universal rules, including both success and failure. We have analyzed the reasons…

Artificial Intelligence · Computer Science 2023-03-07 Lin Zhang

A number of exciting advances have been made in automated fact-checking thanks to increasingly larger datasets and more powerful systems, leading to improvements in the complexity of claims which can be accurately fact-checked. However,…

Computation and Language · Computer Science 2020-11-10 Neema Kotonya , Francesca Toni

Human perception, memory and decision-making are impacted by tens of cognitive biases and heuristics that influence our actions and decisions. Despite the pervasiveness of such biases, they are generally not leveraged by today's Artificial…

Human-Computer Interaction · Computer Science 2023-12-04 Aditya Gulati , Miguel Angel Lozano , Bruno Lepri , Nuria Oliver

Since its beginnings in the 1940s, automated reasoning by computers has become a tool of ever growing importance in scientific research. So far, the rules underlying automated reasoning have mainly been formulated by humans, in the form of…

Computers and Society · Computer Science 2025-10-20 Konrad Hinsen

Building models of the world from observation, i.e., induction, is one of the major challenges in machine learning. In order to be useful, models need to maintain accuracy when used in novel situations, i.e., generalize. In addition, they…

Machine Learning · Computer Science 2026-02-10 Gabriel Stella , Dmitri Loguinov

Abductive reasoning, reasoning for inferring explanations for observations, is often mentioned in scientific, design-related and artistic contexts, but its understanding varies across these domains. This paper reviews how abductive…

Artificial Intelligence · Computer Science 2025-07-14 Abhinav Sood , Kazjon Grace , Stephen Wan , Cecile Paris

This article is a sequel to our earlier work [25]. The main objective of our research is to explore the potential of supervised machine learning in face-induced social computing and cognition, riding on the momentum of much heralded…

Computer Vision and Pattern Recognition · Computer Science 2016-12-26 Xiaolin Wu , Xi Zhang , Chang Liu

The purpose of this article is to review the achievements made in the last few years towards the understanding of the reasons behind the success and subtleties of neural network-based machine learning. In the tradition of good old applied…

Machine Learning · Computer Science 2020-12-09 Weinan E , Chao Ma , Stephan Wojtowytsch , Lei Wu

Algorithms of inference in a computer system oriented to input and semantic processing of text information are presented. Such inference is necessary for logical questions when the direct comparison of objects from a question and database…

Computation and Language · Computer Science 2012-02-02 Yuriy Ostapov

This essay examines the relationship between artificial intelligence and the historical evolution of modern Mathematics. Rather than viewing AI as an external rupture, we argue that its effectiveness reveals a structural tendency already…

Differential Geometry · Mathematics 2026-05-28 Jaime Ripoll

The current state-of-the-art in artificial intelligence is impressive, especially in terms of mastery of language, but not so much in terms of mathematical reasoning. What could be missing? Can we learn something useful about that gap from…

Artificial Intelligence · Computer Science 2024-03-08 Yoshua Bengio , Nikolay Malkin

In the recent years, we have linked a large corpus of formal mathematics with automated theorem proving (ATP) tools, and started to develop combined AI/ATP systems working in this setting. In this paper we first relate this project to the…

Artificial Intelligence · Computer Science 2012-12-18 Josef Urban , Jiri Vyskocil

Machine intelligence, or the use of complex computational and statistical practices to make predictions and classifications based on data representations of phenomena, has been applied to domains as disparate as criminal justice, commerce,…

Computers and Society · Computer Science 2022-09-22 Emanuel Moss

Computational modelling offers a powerful tool for formalising psychological theories, making them more transparent, testable, and applicable in digital contexts. Yet, the question often remains: how should one computationally model a…

Artificial Intelligence · Computer Science 2025-05-14 Erik M. Lintunen , Nadia M. Ady , Sebastian Deterding , Christian Guckelsberger

The human intrinsic desire to pursue knowledge, also known as curiosity, is considered essential in the process of skill acquisition. With the aid of artificial curiosity, we could equip current techniques for control, such as Reinforcement…

Machine Learning · Computer Science 2022-02-24 Pietro Mazzaglia , Ozan Catal , Tim Verbelen , Bart Dhoedt

Despite recent advances in modern machine learning algorithms, the opaqueness of their underlying mechanisms continues to be an obstacle in adoption. To instill confidence and trust in artificial intelligence systems, Explainable Artificial…

Machine Learning · Computer Science 2023-03-06 Zheng Zhang , Liangliang Xu , Levent Yilmaz , Bo Liu