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To promote economic stability, finance should be studied as a hard science, where scientific methods apply. When a trading strategy is proposed, the underlying model should be transparent and defined robustly to allow other researchers to…

Computational Finance · Quantitative Finance 2018-09-11 Jorge Faleiro , Edward Tsang

Basic principles of mathematical modeling are reviewed in this book, with the focus on physics and its practical applications, and examples of selected mathematical methods are presented. Most of the models have been imported from physics…

Classical Physics · Physics 2025-07-14 Sergej Pankratow

This manifesto has been written as a practical tool and aid for anyone carrying out, managing or influencing mathematical work. It provides insight into how to undertake and develop mathematically-powered products and services in a safe and…

History and Overview · Mathematics 2025-10-17 Maurice Chiodo , Dennis Müller

Computational aspects increasingly shape environmental sciences. Actually, transdisciplinary modelling of complex and uncertain environmental systems is challenging computational science (CS) and also the science-policy interface. Large…

Systems and Control · Computer Science 2014-02-11 Daniele de Rigo

Scientific research involves mathematical modelling in the context of an interactive balance between theory, experiment and computation. However, computational methods and tools are still far from being appropriately integrated in the high…

Physics Education · Physics 2016-08-14 Rui Gomes Neves , Jorge Carvalho Silva , Vítor Duarte Teodoro

Mathematical reasoning is a fundamental aspect of human intelligence and is applicable in various fields, including science, engineering, finance, and everyday life. The development of artificial intelligence (AI) systems capable of solving…

Artificial Intelligence · Computer Science 2023-06-23 Pan Lu , Liang Qiu , Wenhao Yu , Sean Welleck , Kai-Wei Chang

The benefits of using complex network analysis (CNA) to study complex systems, such as an economy, have become increasingly evident in recent years. However, the lack of a single comparative index that encompasses the overall wellness of a…

Theoretical Economics · Economics 2022-07-12 M. S. Tedesco , M. A. Nunez-Ochoa , F. Ramos , O. Medrano , K Beuchot

Experimental mathematics is an experimental approach to mathematics in which programming and symbolic computation are used to investigate mathematical objects, identify properties and patterns, discover facts and formulas and even…

Combinatorics · Mathematics 2020-05-19 Yukun Yao

In the global economy, credit companies play a central role in economic development, through their activity as money lenders. This important task comes with some drawbacks, mainly the risk of the debtors not being able to repay the provided…

Machine Learning · Computer Science 2021-01-01 Giorgio Visani , Federico Chesani , Enrico Bagli , Davide Capuzzo , Alessandro Poluzzi

Missing data is a fundamental challenge in data science, significantly hindering analysis and decision-making across a wide range of disciplines, including healthcare, bioinformatics, social science, e-commerce, and industrial monitoring.…

Machine Learning · Statistics 2026-05-12 Jicong Fan

This paper reviews recent advances in the field of optimization under uncertainty via a modern data lens, highlights key research challenges and promise of data-driven optimization that organically integrates machine learning and…

Machine Learning · Computer Science 2019-04-16 Chao Ning , Fengqi You

In this article, the notion of a mathematical model in science is attempted to be enlightened from several points of view. In particular, it is shown that mathematical models are introduced differently and used differently in different…

History and Overview · Mathematics 2022-05-25 Inge S. Helland

This essay provides a critical overview of the mathematical kinetic theory of active particles, which is used to model and study collective systems consisting of interacting living entities, such as those involved in behavior and evolution.…

Physics and Society · Physics 2025-10-17 Marina Dolfin , Leone Leonida

Mathematical knowledge is a central component in science, engineering, and technology (documentation). Most of it is represented informally, and -- in contrast to published research mathematics -- subject to continual change. Unfortunately,…

Digital Libraries · Computer Science 2011-05-13 Serge Autexier , Catalin David , Dominik Dietrich , Michael Kohlhase , Vyacheslav Zholudev

Studying corruption presents unique challenges. Recent work in the spirit of computational social science exploits newly available data and methods to give a fresh perspective on this important topic. In this chapter we highlight some of…

Physics and Society · Physics 2022-02-04 Isabela Villamil , János Kertész , Johannes Wachs

Purpose: to provide a view and analysis of the immediate field of journals which surround a number of key heterodox economics journals. Design/methodology/approach: Using citation data from the Science and Social Science Citation Index, the…

Digital Libraries · Computer Science 2009-11-13 Wilfred Dolfsma , Loet Leydesdorff

I give a short introduction to data ethics. I begin with some background information and societal context for data ethics. I then discuss data ethics in mathematical-science education and indicate some available course material. I briefly…

History and Overview · Mathematics 2024-07-26 Mason A. Porter

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

Data-driven science is an emerging paradigm where scientific discoveries depend on the execution of computational AI models against rich, discipline-specific datasets. With modern machine learning frameworks, anyone can develop and execute…

Machine Learning · Computer Science 2022-08-09 Seth Ockerman , John Wu , Christopher Stewart

Causal effect estimation (CEE) provides a crucial tool for predicting the unobserved counterfactual outcome for an entity. As CEE relaxes the requirement for ``perfect'' counterfactual samples (e.g., patients with identical attributes and…

Machine Learning · Computer Science 2024-11-19 Hechuan Wen , Tong Chen , Guanhua Ye , Li Kheng Chai , Shazia Sadiq , Hongzhi Yin