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There is a widespread assumption that the universe in general, and the Earth's biosphere in particular, is becoming more complex over time. This paper formulates this assumption as a macroscopic law, the law of increasing complexity, for a…

History and Philosophy of Physics · Physics 2026-03-02 Tatsuaki Okamoto

Forecasting has always been at the forefront of decision making and planning. The uncertainty that surrounds the future is both exciting and challenging, with individuals and organisations seeking to minimise risks and maximise utilities.…

Applications · Statistics 2022-02-09 Fotios Petropoulos , Daniele Apiletti , Vassilios Assimakopoulos , Mohamed Zied Babai , Devon K. Barrow , Souhaib Ben Taieb , Christoph Bergmeir , Ricardo J. Bessa , Jakub Bijak , John E. Boylan , Jethro Browell , Claudio Carnevale , Jennifer L. Castle , Pasquale Cirillo , Michael P. Clements , Clara Cordeiro , Fernando Luiz Cyrino Oliveira , Shari De Baets , Alexander Dokumentov , Joanne Ellison , Piotr Fiszeder , Philip Hans Franses , David T. Frazier , Michael Gilliland , M. Sinan Gönül , Paul Goodwin , Luigi Grossi , Yael Grushka-Cockayne , Mariangela Guidolin , Massimo Guidolin , Ulrich Gunter , Xiaojia Guo , Renato Guseo , Nigel Harvey , David F. Hendry , Ross Hollyman , Tim Januschowski , Jooyoung Jeon , Victor Richmond R. Jose , Yanfei Kang , Anne B. Koehler , Stephan Kolassa , Nikolaos Kourentzes , Sonia Leva , Feng Li , Konstantia Litsiou , Spyros Makridakis , Gael M. Martin , Andrew B. Martinez , Sheik Meeran , Theodore Modis , Konstantinos Nikolopoulos , Dilek Önkal , Alessia Paccagnini , Anastasios Panagiotelis , Ioannis Panapakidis , Jose M. Pavía , Manuela Pedio , Diego J. Pedregal , Pierre Pinson , Patrícia Ramos , David E. Rapach , J. James Reade , Bahman Rostami-Tabar , Michał Rubaszek , Georgios Sermpinis , Han Lin Shang , Evangelos Spiliotis , Aris A. Syntetos , Priyanga Dilini Talagala , Thiyanga S. Talagala , Len Tashman , Dimitrios Thomakos , Thordis Thorarinsdottir , Ezio Todini , Juan Ramón Trapero Arenas , Xiaoqian Wang , Robert L. Winkler , Alisa Yusupova , Florian Ziel

Complexity science offers a wide range of measures for quantifying unpredictability, structure, and information. Yet, a systematic conceptual organization of these measures is still missing. We present a unified framework that locates…

Machine Learning · Computer Science 2025-05-13 Nima Dehghani

At the beginning, programming was inspired by the search of the best solutions. At that time some fundamental stones like famous languages and object oriented and structured programming were laid. It was found later that applications could…

Human-Computer Interaction · Computer Science 2015-10-05 Sergey Andreyev

We consider adaptive decision-making problems where an agent optimizes a cumulative performance objective by repeatedly choosing among a finite set of options. Compared to the classical prediction-with-expert-advice set-up, we consider…

Machine Learning · Computer Science 2023-04-10 Michael Muehlebach

We discuss views about whether the universe can be rationally comprehended, starting with Plato, then Leibniz, and then the views of some distinguished scientists of the previous century. Based on this, we defend the thesis that…

History and Overview · Mathematics 2007-05-23 G. J. Chaitin

This contribution argues that the notion of time used in the scientific modeling of reality deprives time of its real nature. Difficulties from logic paradoxes to mathematical incompleteness and numerical uncertainty ensue. How can the…

Other Computer Science · Computer Science 2019-01-23 Roger White , Wolfgang Banzhaf

Optimization is a critical tool for addressing a broad range of human and technical problems. However, the paradox of advanced optimization techniques is that they have maximum utility for problems in which the relationship between the…

Computational Engineering, Finance, and Science · Computer Science 2024-03-04 Hazhir Aliahmadi , Ruben Perez , Greg van Anders

Physicists are increasingly beginning to take seriously the possibility of laws outside the traditional time-evolution paradigm; yet our understanding of determinism is still predicated on a forwards time-evolution picture, making it…

History and Philosophy of Physics · Physics 2022-01-25 Emily Adlam

Science is built on the scholarly consensus that shifts with time. This raises the question of how new and revolutionary ideas are evaluated and become accepted into the canon of science. Using two recently proposed metrics, we identify…

Digital Libraries · Computer Science 2021-11-23 Yiling Lin , James Allen Evans , Lingfei Wu

More than hundred years ago the 'classic physics' was it in its full power, with just a few unexplained phenomena; which however led to a revolution and the development of the 'modern physics'. Today the computing is in a similar position:…

General Literature · Computer Science 2020-01-07 János Végh

Real-world data streams can change unpredictably due to distribution shifts, feedback loops and adversarial actors, which challenges the validity of forecasts. We present a forecasting framework ensuring valid uncertainty estimates…

Machine Learning · Computer Science 2025-03-04 Charles Marx , Volodymyr Kuleshov , Stefano Ermon

LECTURE GIVEN AT TH2002. Given a set of Boolean variables, and some constraints between them, is it possible to find a configuration of the variables which satisfies all constraints? This problem, which is at the heart of combinatorial…

Disordered Systems and Neural Networks · Physics 2009-11-07 Marc Mezard

In this paper we present a discussion of the basic aspects of the well-known problem of prediction and inference in physics, with specific attention to the role of models, the use of data and the application of recent developments in…

General Physics · Physics 2024-10-07 Luca Gammaitoni , Angelo Vulpiani

The modeling of complex systems such as ecological or socio-economic systems can be very challenging. Although various modeling approaches exist, they are generally not compatible and mutually consistent, and empirical data often do not…

Physics and Society · Physics 2010-07-19 Dirk Helbing

Decisions in organizations are about evaluating alternatives and choosing the one that would best serve organizational goals. To the extent that the evaluation of alternatives could be formulated as a predictive task with appropriate…

Human-Computer Interaction · Computer Science 2022-06-30 Charles Wan , Rodrigo Belo , Leid Zejnilović

A tradition handed down among physicists maintains that classical physics is a perfectly deterministic theory capable of predicting the future with absolute certainty, independently of any interpretations. It also tells that it was quantum…

History and Philosophy of Physics · Physics 2023-03-09 Flavio Del Santo

Climate exhibits a vast range of dissipative structures. Some have characteristic times of a few days; others evolve on thousands of years. All these structures are interdependent; in other words, they communicate. It is often considered…

Atmospheric and Oceanic Physics · Physics 2009-06-19 Michel Crucifix

Given the complexity of modern software systems, it is of great importance that such systems be able to autonomously modify themselves, i.e., self-adapt, with minimal human supervision. It is critical that this adaptation both results in…

Software Engineering · Computer Science 2022-05-13 Todd Wareham , Ronald de Haan