scholarly journals Fractional Dynamics in Soccer Leagues

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 356 ◽  
Author(s):  
António M. Lopes ◽  
Jose A. Tenreiro Machado
Keyword(s):  
Mathematical Modeling ◽  
Fractional Calculus ◽  
Real World ◽  
Complex Dynamics ◽  
Statistical Information ◽  
Fractional Dynamics ◽  
Entropy Analysis ◽  
Real World Data ◽  
Proposed Model ◽  
Soccer Teams

This paper addresses the dynamics of four European soccer teams over the season 2018–2019. The modeling perspective adopts the concepts of fractional calculus and power law. The proposed model embeds implicitly details such as the behavior of players and coaches, strategical and tactical maneuvers during the matches, errors of referees and a multitude of other effects. The scale of observation focuses the teams’ behavior at each round. Two approaches are considered, namely the evaluation of the team progress along the league by a variety of heuristic models fitting real-world data, and the analysis of statistical information by means of entropy. The best models are also adopted for predicting the future results and their performance compared with the real outcome. The computational and mathematical modeling lead to results that are analyzed and interpreted in the light of fractional dynamics. The emergence of patterns both with the heuristic modeling and the entropy analysis highlight similarities in different national leagues and point towards some underlying complex dynamics.

The failure of certain fractional calculus operators in two physical models

2019 ◽  
Vol 22 (2) ◽  
pp. 255-270 ◽  
Author(s):  
Manuel D. Ortigueira ◽  
Valeriy Martynyuk ◽  
Mykola Fedula ◽  
J. Tenreiro Machado
Keyword(s):  
Fractional Calculus ◽  
Human Body ◽  
Real World ◽  
Fractional Derivatives ◽  
Electrical Impedance ◽  
Real Data ◽  
Physical Models ◽  
Data Sets ◽  
Real World Data ◽  
Fractional Calculus Operators

Abstract The ability of the so-called Caputo-Fabrizio (CF) and Atangana-Baleanu (AB) operators to create suitable models for real data is tested with real world data. Two alternative models based on the CF and AB operators are assessed and compared with known models for data sets obtained from electrochemical capacitors and the human body electrical impedance. The results show that the CF and AB descriptions perform poorly when compared with the classical fractional derivatives.

Multiple time period imputation technique for multiple missing traffic variables: nonparametric regression approach

2012 ◽  
Vol 39 (4) ◽  
pp. 448-459 ◽  
Author(s):  
Hyunho Chang ◽  
Dongjoo Park ◽  
Younginn Lee ◽  
Byoungjo Yoon
Keyword(s):  
Real World ◽  
Moving Average ◽  
Real Data ◽  
Multiple Time ◽  
Real World Data ◽  
Time Period ◽  
Proposed Model ◽  
Auto Regressive ◽  
Missing Variables ◽  
The Relationship

The objective of this study is to introduce an effective and practical model, based on non-parametric regression, to instantaneously estimate multivariate imputations replacing multiple missing variables during multiple time periods. The developed model was essentially designed for system-oriented, real-world applications. In an empirical study with real-world data, the proposed model, on the whole, outperformed the seasonal auto-regressive integrated moving average (ARIMA). The analysis of the results indicates that the introduced model was more applicable to multivariate imputation during multiple time intervals than that of ARIMA. In addition, it was revealed that ARIMA could somewhat deform the relationship between the volume (q) and speed (s), whereas the developed model reproduced the q–s relationship more similarly than ARIMA. Moreover, the proposed model is very simple and does not require system operators to input or recalibrate any external parameters because it was developed for applications of real data management systems.

A Review of Systems Reliability Analysis Using Fuzzy Logic

2019 ◽  
pp. 362-377 ◽  
Author(s):  
Mohammad Abdolshah ◽  
Ali Samavi ◽  
Seyyed Amirmohammad Khatibi ◽  
Maryam Mamoolraftar
Keyword(s):  
Mathematical Modeling ◽  
Fuzzy Logic ◽  
Data Collection ◽  
Reliability Analysis ◽  
Set Theory ◽  
Real World ◽  
Fuzzy Set Theory ◽  
Probabilistic Approach ◽  
Real World Data ◽  
Fuzzy Logic Method

Reliability is one of the important aspects in product quality that shows efficiency or operation of the product, failure rate, and confidence. When the efficiency of the product is reduced below a desired level, the product is said to have failure. In real world, data collection or access of detailed features of the system is often difficult because of incomplete or unavailable information and probabilistic approach to the conventional reliability analysis. Therefore, to solve this problem, fuzzy set theory is used to evaluate system reliability. This research studies the literature on the reliability of fuzzy systems. Several studies have shown that fuzzy logic method can be more appropriate in comparison with classical methods and mathematical modeling.

scholarly journals Visibilidade no Facebook: Modelos, Medições e Implicações

2018 ◽  
Author(s):  
Eduardo Hargreaves ◽  
Daniel Menasché ◽  
Giovanni Neglia ◽  
Claudio Agosti
Keyword(s):  
Real World ◽  
Arrival Rate ◽  
Daily Basis ◽  
Real World Data ◽  
World Data ◽  
Internet Users ◽  
Proposed Model ◽  
Fundamental Quantity

Facebook news feed personalization algorithm has a significant impact, on a daily basis, on the lifestyle, mood and opinion of millions of Internet users. Nonetheless, such algorithms lack transparency challenging researchers to improve their fairness and accountability. In this paper, we propose a model to capture the dynamics of contents over a timeline (also known as news feed). The input to our model is a fundamental quantity associated to timelines, which we show that can be easily parameterized using real world data: the arrival rate of posts of a given publisher followed by the user. Using real world Facebook traces from the latest elections in Italy, we validate the accuracy of the proposed model and use the model for conterfactual what-if analysis.

Abstract #946: Assessment of Acromegaly Patients with and Without Diabetes Treated with Lanreotide Depot: 2-Year Real World Data

2016 ◽  
Vol 22 ◽  
pp. 219
Author(s):  
Roberto Salvatori ◽  
Olga Gambetti ◽  
Whitney Woodmansee ◽  
David Cox ◽  
Beloo Mirakhur ◽  
...  
Keyword(s):  
Real World ◽  
Real World Data ◽  
World Data

Safety and efficacy of direct acting oral anticoagulants and vitamin K antagonists in nonvalvular atrial fibrillation – a network meta-analysis of real-world data

VASA ◽  
2019 ◽  
Vol 48 (2) ◽  
pp. 134-147 ◽  
Author(s):  
Mirko Hirschl ◽  
Michael Kundi
Keyword(s):  
Real World ◽  
Meta Analysis ◽  
Vitamin K Antagonists ◽  
Oral Anticoagulants ◽  
Efficacy And Safety ◽  
Nonvalvular Atrial Fibrillation ◽  
Real World Data ◽  
Hazard Ratios ◽  
Direct Acting ◽  
Event Rates

Abstract. Background: In randomized controlled trials (RCTs) direct acting oral anticoagulants (DOACs) showed a superior risk-benefit profile in comparison to vitamin K antagonists (VKAs) for patients with nonvalvular atrial fibrillation. Patients enrolled in such studies do not necessarily reflect the whole target population treated in real-world practice. Materials and methods: By a systematic literature search, 88 studies including 3,351,628 patients providing over 2.9 million patient-years of follow-up were identified. Hazard ratios and event-rates for the main efficacy and safety outcomes were extracted and the results for DOACs and VKAs combined by network meta-analysis. In addition, meta-regression was performed to identify factors responsible for heterogeneity across studies. Results: For stroke and systemic embolism as well as for major bleeding and intracranial bleeding real-world studies gave virtually the same result as RCTs with higher efficacy and lower major bleeding risk (for dabigatran and apixaban) and lower risk of intracranial bleeding (all DOACs) compared to VKAs. Results for gastrointestinal bleeding were consistently better for DOACs and hazard ratios of myocardial infarction were significantly lower in real-world for dabigatran and apixaban compared to RCTs. By a ranking analysis we found that apixaban is the safest anticoagulant drug, while rivaroxaban closely followed by dabigatran are the most efficacious. Risk of bias and heterogeneity was assessed and had little impact on the overall results. Analysis of effect modification could guide the clinical decision as no single DOAC was superior/inferior to the others under all conditions. Conclusions: DOACs were at least as efficacious as VKAs. In terms of safety endpoints, DOACs performed better under real-world conditions than in RCTs. The current real-world data showed that differences in efficacy and safety, despite generally low event rates, exist between DOACs. Knowledge about these differences in performance can contribute to a more personalized medicine.

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