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We provide a short introduction to the field of topological data analysis and discuss its possible relevance for the study of complex systems. Topological data analysis provides a set of tools to characterise the shape of data, in terms of…

Data Analysis, Statistics and Probability · Physics 2018-12-05 Vsevolod Salnikov , Daniele Cassese , Renaud Lambiotte

In this paper, we revisit the equity premium puzzle reported in 1985 by Mehra and Prescott. We show that the large equity premium that they report can be explained by choosing a more appropriate distribution for the return data. We…

General Economics · Economics 2020-01-14 Abootaleb Shirvani , Stoyan V. Stoyanov , Frank J. Fabozzi , Svetlozar T. Rachev

This paper provides a holistic study of how stock prices vary in their response to financial disclosures across different topics. Thereby, we specifically shed light into the extensive amount of filings for which no a priori categorization…

Computation and Language · Computer Science 2018-05-10 Stefan Feuerriegel , Nicolas Pröllochs

Complexity is an interdisciplinary concept which, first of all, addresses the question of how order emerges out of randomness. For many reasons matrices provide a very practical and powerful tool in approaching and quantifying the related…

Soft Condensed Matter · Physics 2008-12-18 S. Drozdz , J. Kwapien , J. Speth , M. Wojcik

This paper focuses on a dynamic multi-asset mean-variance portfolio selection problem under model uncertainty. We develop a continuous time framework for taking into account ambiguity aversion about both expected return rates and…

Portfolio Management · Quantitative Finance 2021-12-02 Huyen Pham , Xiaoli Wei , Chao Zhou

Machine learning systems have become popular in fields such as marketing, financing, or data mining. While they are highly accurate, complex machine learning systems pose challenges for engineers and users. Their inherent complexity makes…

Computers and Society · Computer Science 2019-07-31 Andrea Papenmeier , Gwenn Englebienne , Christin Seifert

South Africa assumes a significant position in the insurance landscape of Africa. The present research based upon qualitative and quantitative analysis, shows that it shows the characteristics of a Complex Adaptive System. In addition, a…

Computers and Society · Computer Science 2011-10-20 Satyakama Paul , Bhekisipho Twala , Tshilidzi Marwala

It is a public secret that doing email securely is fraught with challenges. We found a vulnerability present at many email providers, allowing us to spoof email on behalf of many organisations. As email vulnerabilities are ten a penny,…

Networking and Internet Architecture · Computer Science 2023-12-13 Koen van Hove , Jeroen van der Ham-de Vos , Roland van Rijswijk-Deij

We study the ramifications of increased commitment power for information provision in an oligopolistic market with search frictions. Although prices are posted and, therefore, guide search, if firms cannot commit to information provision…

Theoretical Economics · Economics 2024-02-20 Pak Hung Au , Mark Whitmeyer

The problem of defining and studying complexity of a time series has interested people for years. In the context of dynamical systems, Grassberger has suggested that a slow approach of the entropy to its extensive asymptotic limit is a sign…

Data Analysis, Statistics and Probability · Physics 2009-11-07 William Bialek , Ilya Nemenman , Naftali Tishby

Models can be simple for different reasons: because they yield a simple and computationally efficient interpretation of a generic dataset (e.g. in terms of pairwise dependences) - as in statistical learning - or because they capture the…

Disordered Systems and Neural Networks · Physics 2018-10-17 Alberto Beretta , Claudia Battistin , Clélia de Mulatier , Iacopo Mastromatteo , Matteo Marsili

The complexity of a system, in general, makes it difficult to determine some or almost all matrix elements of its operators. The lack of accuracy acts as a source of randomness for the matrix elements which are also subjected to an external…

Statistical Mechanics · Physics 2009-11-13 Pragya Shukla

We revisit the problem of portfolio selection, where an investor maximizes utility subject to a risk constraint. Our framework is very general and accommodates a wide range of utility and risk functionals, including non-concave utilities…

Mathematical Finance · Quantitative Finance 2025-09-15 Leonardo Baggiani , Martin Herdegen , Nazem Khan

There is no single definition of complexity (Edmonds 1999; Gershenson 2008; Mitchell 2009; De Domenico, et al., 2019), as it acquires different meanings in different contexts. A general notion is the amount of information required to…

Adaptation and Self-Organizing Systems · Physics 2021-02-26 Carlos Gershenson

Data Science and Machine learning have been growing strong for the past decade. We argue that to make the most of this exciting field we should resist the temptation of assuming that forecasting can be reduced to brute-force data analytics.…

Artificial Intelligence · Computer Science 2020-05-12 Hykel Hosni , Angelo Vulpiani

Extraction of structure, in particular of group symmetries, is increasingly crucial to understanding and building intelligent models. In particular, some information-theoretic models of parsimonious learning have been argued to induce…

Information Theory · Computer Science 2025-07-08 Hippolyte Charvin , Nicola Catenacci Volpi , Daniel Polani

We characterize the communication complexity of truthful mechanisms. Our departure point is the well known taxation principle. The taxation principle asserts that every truthful mechanism can be interpreted as follows: every player is…

Computer Science and Game Theory · Computer Science 2016-04-08 Shahar Dobzinski

Concepts used in the scientific study of complex systems have become so widespread that their use and abuse has led to ambiguity and confusion in their meaning. In this paper we use information theory to provide abstract and concise…

Information Theory · Computer Science 2012-11-16 Carlos Gershenson , Nelson Fernandez

[Background:] Software effort prediction methods and models typically assume positive correlation between software product complexity and development effort. However, conflicting observations, i.e. negative correlation between product…

Software Engineering · Computer Science 2015-09-29 Zheng Li , Liam O'Brien , Ye Yang

Effective complexity measures the information content of the regularities of an object. It has been introduced by M. Gell-Mann and S. Lloyd to avoid some of the disadvantages of Kolmogorov complexity, also known as algorithmic information…

Information Theory · Computer Science 2010-11-22 Nihat Ay , Markus Mueller , Arleta Szkola