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Automated theorem provers and formal proof assistants are general reasoning systems that are in theory capable of proving arbitrarily hard theorems, thus solving arbitrary problems reducible to mathematics and logical reasoning. In…

Artificial Intelligence · Computer Science 2025-06-23 Lasse Blaauwbroek , David Cerna , Thibault Gauthier , Jan Jakubův , Cezary Kaliszyk , Martin Suda , Josef Urban

A comprehensive artificial intelligence system needs to not only perceive the environment with different `senses' (e.g., seeing and hearing) but also infer the world's conditional (or even causal) relations and corresponding uncertainty.…

Machine Learning · Statistics 2021-01-07 Hao Wang , Dit-Yan Yeung

The validation of a theory is commonly based on appealing to clearly distinguishable and describable features in properly reduced experimental data, while the use of ab-initio simulation for interpreting experimental data typically requires…

Plasma Physics · Physics 2018-12-18 A. Gonoskov , E. Wallin , A. Polovinkin , I. Meyerov

In the decade since 2010, successes in artificial intelligence have been at the forefront of computer science and technology, and vector space models have solidified a position at the forefront of artificial intelligence. At the same time,…

Artificial Intelligence · Computer Science 2021-12-17 Dominic Widdows , Kirsty Kitto , Trevor Cohen

The main drawback of using generative AI models for advanced mathematics is that these models are not primarily logical reasoning engines. However, Large Language Models, and their refinements, can pick up on patterns in higher mathematics…

History and Overview · Mathematics 2025-12-19 Lisa Carbone

While perception tasks such as visual object recognition and text understanding play an important role in human intelligence, the subsequent tasks that involve inference, reasoning and planning require an even higher level of intelligence.…

Machine Learning · Statistics 2016-09-06 Hao Wang , Dit-Yan Yeung

The development history of landscape architecture (LA) reflects the human pursuit of environmental beautification and ecological balance. With the advancement of artificial intelligence (AI) technologies that simulate and extend human…

Artificial Intelligence · Computer Science 2024-08-28 Yue Xing , Wensheng Gan , Qidi Chen

This entry introduces the topic of machine learning and provides an overview of its relevance for applied linguistics and language learning. The discussion will focus on giving an introduction to the methods and applications of machine…

Computation and Language · Computer Science 2018-04-11 Sowmya Vajjala

We explore the possibility of using machine learning to identify interesting mathematical structures by using certain quantities that serve as fingerprints. In particular, we extract features from integer sequences using two empirical laws:…

Machine Learning · Computer Science 2018-09-11 Chai Wah Wu

This paper presents a hypothesis-driven approach to improve AI-supported decision-making that is based on the Evaluative AI paradigm - a conceptual framework that proposes providing users with evidence for or against a given hypothesis. We…

Artificial Intelligence · Computer Science 2025-08-28 Thao Le , Tim Miller , Liz Sonenberg , Ronal Singh , H. Peter Soyer

Landscapes are meaningful ecological units that strongly depend on the environmental conditions. Such dependencies between landscapes and the environment have been noted since the beginning of Earth sciences and cast into conceptual models…

Computer Vision and Pattern Recognition · Computer Science 2019-09-27 Christian Requena-Mesa , Markus Reichstein , Miguel Mahecha , Basil Kraft , Joachim Denzler

This chapter focuses on the transformative role of Artificial Intelligence (AI) and Machine Learning (ML) in science assessments. The paper begins with a discussion of the Framework for K-12 Science Education, which calls for a shift from…

Physics Education · Physics 2024-05-14 Xiaoming Zhai

Machine Learning (ML) and its applications have been transforming our lives but it is also creating issues related to the development of fair, accountable, transparent, and ethical Artificial Intelligence. As the ML models are not fully…

Applications · Statistics 2021-06-30 Yihuang Kang , Yi-Wen Chiu , Ming-Yen Lin , Fang-yi Su , Sheng-Tai Huang

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

Most Artificial Intelligence applications are based on supervised machine learning (ML), which ultimately grounds on manually annotated data. The annotation process is often performed in terms of a majority vote and this has been proved to…

Machine Learning · Computer Science 2023-06-30 Valerio Basile , Federico Cabitza , Andrea Campagner , Michael Fell

Artificial Intelligence (AI) provides many opportunities to improve private and public life. Discovering patterns and structures in large troves of data in an automated manner is a core component of data science, and currently drives…

Artificial Intelligence · Computer Science 2019-10-11 Vaishak Belle

The Graph Brain Project is an experiment in how the use of automated mathematical discovery software, databases, large collaboration, and systematic investigation provide a model for how mathematical research might proceed in the future.…

Artificial Intelligence · Computer Science 2018-01-08 N. Bushaw , C. E. Larson , N. Van Cleemput

Advances in deep learning systems have allowed large models to match or surpass human accuracy on a number of skills such as image classification, basic programming, and standardized test taking. As the performance of the most capable…

Machine Learning · Computer Science 2024-06-10 Sarah Pratt , Seth Blumberg , Pietro Kreitlon Carolino , Meredith Ringel Morris

In this paper we survey the most recent advances in supervised machine learning and high-dimensional models for time series forecasting. We consider both linear and nonlinear alternatives. Among the linear methods we pay special attention…

Econometrics · Economics 2021-04-12 Ricardo P. Masini , Marcelo C. Medeiros , Eduardo F. Mendes