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From behavioral sciences to biology to quantum mechanics, one encounters situations where (i) a system outputs several random variables in response to several inputs, (ii) for each of these responses only some of the inputs may "directly"…

Probability · Mathematics 2015-09-01 E. N. Dzhafarov , J. V. Kujala

Mathematics is a limited component of solutions to real-world problems, as it expresses only what is expected to be true if all our assumptions are correct, including implicit assumptions that are omnipresent and often incorrect.…

Methodology · Statistics 2023-09-14 Sander Greenland

Statistical hypothesis testing is the central method to demarcate scientific theories in both exploratory and inferential analyses. However, whether this method befits such purpose remains a matter of debate. Established approaches to…

Data Analysis, Statistics and Probability · Physics 2024-10-29 Orestis Loukas , Ho-Ryun Chung

How does the extent to which a model is open or closed impact the scientific inferences that can be drawn from research that involves it? In this paper, we analyze how restrictions on information about model construction and deployment…

Living systems are typically characterized by irreversible processes. A condition equivalent to the reversibility is the detailed balance, whose absence is an obstacle for analytically solving ecological models. We revisit a promising model…

Statistical Mechanics · Physics 2012-11-20 Jacopo Grilli , Sandro Azaele , Jayanth R. Banavar , Amos Maritan

Cities are systems with a large number of constituents and agents interacting with each other and can be considered as emblematic of complex systems. Modeling these systems is a real challenge and triggered the interest of many disciplines…

Physics and Society · Physics 2019-10-23 Marc Barthelemy

A critical step in data analysis for many different types of experiments is the identification of features with theoretically defined shapes in N-dimensional datasets; examples of this process include finding peaks in multi-dimensional…

Data Analysis, Statistics and Probability · Physics 2022-08-25 Korak Kumar Ray , Anjali R. Verma , Ruben L. Gonzalez , Colin D. Kinz-Thompson

Building software-driven systems that are easily understood becomes a challenge, with their ever-increasing complexity and autonomy. Accordingly, recent research efforts strive to aid in designing explainable systems. Nevertheless, a common…

Artificial Intelligence · Computer Science 2019-02-11 Dimitri Bohlender , Maximilian A. Köhl

In this essay, I attempt to provide supporting evidence as well as some balance for the thesis on `Transforming socio-economics with a new epistemology' presented by Hollingworth and Mueller (2008). First, I review a personal highlight of…

Physics and Society · Physics 2014-08-26 D. Sornette

Consistent confirmations obtained independently of each other lend credibility to a scientific result. We refer to results satisfying this consistency as reproducible and assume that reproducibility is a desirable property of scientific…

Other Statistics · Statistics 2019-06-19 Berna Devezer , Luis G. Nardin , Bert Baumgaertner , Erkan Buzbas

FuturICT foundations are social science, complex systems science, and ICT. The main concerns and challenges in the science of complex systems in the context of FuturICT are laid out in this paper with special emphasis on the Complex Systems…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 Maxi San Miguel , Jeffrey H. Johnson , Janos Kertesz , Kimmo Kaski , Albert Díaz-Guilera , Robert S. MacKay , Vittorio Loreto , Peter Erdi , Dirk Helbing

What does it mean to say that, for example, the probability for rain tomorrow is between 20% and 30%? The theory for the evaluation of precise probabilistic forecasts is well-developed and is grounded in the key concepts of proper scoring…

Machine Learning · Computer Science 2024-10-31 Christian Fröhlich , Robert C. Williamson

We compare probabilistic predictions of extreme temperature anomalies issued by two different forecast schemes. One is a dynamical physical weather model, the other a simple data model. We recall the concept of skill scores in order to…

Applications · Statistics 2013-12-17 Stefan Siegert , Jochen Broecker , Holger Kantz

An approach is presented treating decision theory as a probabilistic theory based on quantum techniques. Accurate definitions are given and thorough analysis is accomplished for the quantum probabilities describing the choice between…

Artificial Intelligence · Computer Science 2022-06-06 V. I. Yukalov

Nature's many varied complex systems (including galaxies, stars, planets, life, and society) are islands of order within the increasingly disordered universe. All organized systems are subject to physical, biological or cultural evolution,…

Popular Physics · Physics 2014-06-12 Eric J. Chaisson

First, this paper broaches the definition of science and the epistemic yield of tenets and approaches: phenomenological (descriptive only), well-founded (solid first principles, conducive to deep understanding), provisional (falsifiable if…

General Physics · Physics 2018-02-26 Hartmut Traunmüller

Scientists need to compare the support for models based on observed phenomena. The main goal of the evidential paradigm is to quantify the strength of evidence in the data for a reference model relative to an alternative model. This is done…

Although information theory resolves inconsistencies (known under the form of famous enigmas) of the traditional approach of thermostatistics, its place in the corresponding literature is not what it deserves. This article supports the idea…

Physics and Society · Physics 2024-02-08 D. Lairez

We report on a course project in which students submit weekly probabilistic forecasts of two weather variables and one financial variable. This real-time format allows students to engage in practical forecasting, which requires a diverse…

Other Statistics · Statistics 2023-04-04 Johannes Bracher , Nils Koster , Fabian Krüger , Sebastian Lerch

After data selection, pre-processing, transformation, and feature extraction, knowledge extraction is not the final step in a data mining process. It is then necessary to understand this knowledge in order to apply it efficiently and…

Machine Learning · Computer Science 2016-05-23 Dominik Fisch , Christian Gruhl , Edgar Kalkowski , Bernhard Sick , Seppo J. Ovaska
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