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Artificial intelligence (AI) is the name popularly given to a broad spectrum of computer tools designed to perform increasingly complex cognitive tasks, including many that used to solely be the province of humans. As these tools become…

History and Overview · Mathematics 2026-03-30 Tanya Klowden , Terence Tao

Deep learning relies on a very specific kind of neural networks: those superposing several neural layers. In the last few years, deep learning achieved major breakthroughs in many tasks such as image analysis, speech recognition, natural…

Artificial Intelligence · Computer Science 2018-02-01 Lê Nguyên Hoang , Rachid Guerraoui

The multi-layered nature of societal developments poses a challenge in the teaching and learning of history of mathematics. As an attempt to tackle this challenge we experimented with the use of Knowledge-Maps. The focus of our interest…

History and Overview · Mathematics 2019-12-18 Nicola Oswald , Sarah Khellaf , Jana Peters

Machine learning has played an important role in the analysis of high-energy physics data for decades. The emergence of deep learning in 2012 allowed for machine learning tools which could adeptly handle higher-dimensional and more complex…

High Energy Physics - Experiment · Physics 2018-11-14 Dan Guest , Kyle Cranmer , Daniel Whiteson

Can deep learning (DL) guide our understanding of computations happening in biological brain? We will first briefly consider how DL has contributed to the research on visual object recognition. In the main part we will assess whether DL…

Artificial Intelligence · Computer Science 2019-07-05 Jaan Aru , Raul Vicente

The holy grail of deep learning is to come up with an automatic method to design optimal architectures for different applications. In other words, how can we effectively dimension and organize neurons along the network layers based on the…

Optimization and Control · Mathematics 2018-06-19 Thiago Serra , Christian Tjandraatmadja , Srikumar Ramalingam

The authors have been using a largely algebraic form of ``computational discovery'' in various undergraduate classes at their respective institutions for some decades now to teach pure mathematics, applied mathematics, and computational…

History and Overview · Mathematics 2024-07-31 Neil J. Calkin , Eunice Y. S. Chan , Robert M. Corless

Deep learning methods have been very effective for a variety of medical diagnostic tasks and has even beaten human experts on some of those. However, the black-box nature of the algorithms has restricted clinical use. Recent explainability…

Computer Vision and Pattern Recognition · Computer Science 2020-05-29 Amitojdeep Singh , Sourya Sengupta , Vasudevan Lakshminarayanan

One of the variants for systematizing the activities of the historian of mathematics is proposed, as well as a scheme for organizing research and search work in the preparation of scientific articles and reports on the history of science.

History and Overview · Mathematics 2021-08-17 Bogatov Egor , Korenev Artem , Mikhailov Ilya

Large cosmological datasets have been probing the properties of our universe and constraining the parameters of dark matter and dark energy with increasing precision. Deep learning techniques have shown potential to be smarter, and to…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-30 Zoltán Haiman

Enabling a machine to read and comprehend the natural language documents so that it can answer some questions remains an elusive challenge. In recent years, the popularity of deep learning and the establishment of large-scale datasets have…

Computation and Language · Computer Science 2019-06-11 Boyu Qiu , Xu Chen , Jungang Xu , Yingfei Sun

Deep learning is pervasive in our daily life, including self-driving cars, virtual assistants, social network services, healthcare services, face recognition, etc. However, deep neural networks demand substantial compute resources during…

Business analytics refers to methods and practices that create value through data for individuals, firms, and organizations. This field is currently experiencing a radical shift due to the advent of deep learning: deep neural networks…

Machine Learning · Computer Science 2019-09-13 Mathias Kraus , Stefan Feuerriegel , Asil Oztekin

Deep-Learning(DL) applications have been widely employed to assist in various tasks. They are constructed based on a data-driven programming paradigm that is different from conventional software applications. Given the increasing popularity…

Software Engineering · Computer Science 2019-10-09 Xufan Zhang , Yilin Yang , Yang Feng , Zhenyu Chen

Like any field of empirical science, AI may be approached axiomatically. We formulate requirements for a general-purpose, human-level AI system in terms of postulates. We review the methodology of deep learning, examining the explicit and…

Artificial Intelligence · Computer Science 2018-06-26 Eray Özkural

Mathematics is one of the most powerful conceptual systems developed and used by the human species. Dreams of automated mathematicians have a storied history in artificial intelligence (AI). Rapid progress in AI, particularly propelled by…

Neurons and Cognition · Quantitative Biology 2023-10-23 Cedegao E. Zhang , Katherine M. Collins , Adrian Weller , Joshua B. Tenenbaum

While the potential of deep learning (DL) for automating simple tasks is already well explored, recent research has started investigating the use of deep learning for creative design, both for complete artifact creation and supporting…

Artificial Intelligence · Computer Science 2024-02-13 Marcus Basalla , Johannes Schneider , Jan vom Brocke

The proposed system of integer functions is logically fully independent from the traditional mathematical analysis of the real functions, but there is a well-defined mutual correspondence between the two disciplines. The system of integer…

General Mathematics · Mathematics 2017-10-03 Jozsef Peredy

In this article, we review recent Deep Learning advances in the context of how they have been applied to play different types of video games such as first-person shooters, arcade games, and real-time strategy games. We analyze the unique…

Artificial Intelligence · Computer Science 2019-02-19 Niels Justesen , Philip Bontrager , Julian Togelius , Sebastian Risi

Deep learning continues to re-shape numerous fields, from natural language processing and imaging to data analytics and recommendation systems. This report studies two research papers that represent recent progress on deep learning from two…

Machine Learning · Computer Science 2024-07-22 Rui Xie