scholarly journals Visual Analysis of Dynamics Behaviour of an Iterative Method Depending on Selected Parameters and Modifications

Entropy ◽  
2020 ◽  
Vol 22 (7) ◽  
pp. 734
Author(s):  
Ireneusz Gościniak ◽  
Krzysztof Gdawiec

There is a huge group of algorithms described in the literature that iteratively find solutions of a given equation. Most of them require tuning. The article presents root-finding algorithms that are based on the Newton–Raphson method which iteratively finds the solutions, and require tuning. The modification of the algorithm implements the best position of particle similarly to the particle swarm optimisation algorithms. The proposed approach allows visualising the impact of the algorithm’s elements on the complex behaviour of the algorithm. Moreover, instead of the standard Picard iteration, various feedback iteration processes are used in this research. Presented examples and the conducted discussion on the algorithm’s operation allow to understand the influence of the proposed modifications on the algorithm’s behaviour. Understanding the impact of the proposed modification on the algorithm’s operation can be helpful in using it in other algorithms. The obtained images also have potential artistic applications.

2013 ◽  
Vol 3 (1) ◽  
pp. 29-50 ◽  
Author(s):  
Evinç Doğan ◽  
Ibrahim Sirkeci

This study examines the ways in which the city image of Istanbul is re-created through the mega-events within the context of the European Capital of Culture (ECoC) 2010. Istanbul “took the stage” as one of the three ECoC cities (Essen for the Ruhr in Germany and Pécs in Hungary), where the urban spaces were projected as the theatre décor while residents and visitors became the spectators of the events. Organisers and agents of the ECoC 2010 seemed to rebrand Istanbul as a “world city” rather than a “European capital”. With a series of transnational connotations, this can be considered as part of an attempt to turn Istanbul to a global city. In this study we examine posters used during the ECoC 2010 to see whether this was evident in the promoted images of Istanbul. The research employs a hermeneutic approach in which representations, signs and language are the means of symbolic meaning, which is analysed through qualitative methods for the visual data (Visual Analysis Methods), namely Semiotics and Discourse Analysis. The analysed research material comes from a sample of posters released during the ECoC 2010 to promote 549 events throughout the year. Using stratified random sampling we have drawn 28 posters (5% of the total) reflecting the thematic groups of events in the ECoC 2010. Particular attention is also paid to the reflexivity of the researchers and researchers’ embeddedness to the object of research. The symbolic production and visual representation are therefore investigated firstly through the authoritative and historically constituted discourses in the making of Istanbul image and secondly through the orders of cultural consumption and mediatisation of culture through spectacular events. Hence enforcing a transnationalisation of the image of the city where the image appears to be almost stateless transcending the national boundaries. Findings and methodology used in this study can be useful in understanding similar cases and further research into the processes of city and place branding and image relationships. 


Author(s):  
T. A. Malova ◽  
V. I. Sisoeva

The article provides an analysis of change of the world oil market in the face of new "oil" reality. Factors of formation of new "oil" reality in the global world defined. Scientific background and current state of research of the problem are described. It is shownthat in the Russian and foreign literature the considerable attention is paid to the analysis of dynamics of the quantitative variables characterizing fluctuations and shocks in the oil market. At the same time the search for balance in the new "oil" reality are not considerably investigated yet. The proposed approach allows toreveal the substance of the transformation of the world oil market, to assess the changes in the oil market with the development of rhenium in terms of efficiency and functioning of the mechanism, the prospects of price volatility in the oil market. The main directions of transformation of the oil market are follows. Development of a subject basis of the oil market due to changes of a role of the main market players whose structure includes the USA, Saudi Arabia, Russia now. The impact of regulatory factors complex in the oil market towards equilibrium, which include activity of OPEC, supply of shale oil, future market,activity of the uniform regulator and national regulators. Transformation of the oil market in the direction of perfection of the competitive relations, achievement of optimum market balance as a result of coordination and interaction of interests of participants of the global oil market.


2021 ◽  
Vol 251 ◽  
pp. 01017
Author(s):  
Zhixiang Lu

With the vigorous development of the sharing economy, the short-term rental industry has also spawned many emerging industries that belong to the sharing economy. However, due to the impact of the COVID-19 pandemic in 2020, many sharing economy industries, including the short-term housing leasing industry, have been affected. This study takes the rental information of 1,004 short-term rental houses in New York in April 2020 as an example, through machine learning and quantitative analysis, we conducted statistical and visual analysis on the impact of different factors on the housing rental status. This project is based on the machine learning model to predict the changes in the rental status of the house on the time series. The results show that the prediction accuracy of the random forest model has reached more than 94%, and the prediction accuracy of the logistic model has reached more than 74%. At the same time, we have further explored the impact of time span differences and regional differences on the housing rental status.


2020 ◽  
Vol 29 (1) ◽  
pp. 291
Author(s):  
Cezary Kulesza

<p class="PreformattedText">The gloss refers to the problem of the impact of bank employees’ performance on borrowers’ liability for fraud. The author approves the view formulated in the thesis of the Supreme Court that the employees of the injured bank were obliged to exercise special diligence in checking the accuracy of the documents submitted by the accused necessary to obtain a loan. The position taken by the Supreme Court in the commented judgement can be considered as at least a partial departure from the previous jurisprudence of the Supreme Court accepting that the victim’s contribution to the occurrence of fraud is not relevant to the responsibility of the perpetrators. The author, starting from the results of victimological research, accepts the view that the basis of criminal liability for fraud is the complex behaviour of the perpetrator (extraneous) and representatives of the injured bank (intraneus) and their mutual activity. In the last part of the commentary, the author indicates the specific obligations of banks when granting loans. He also emphasizes the inclusion in civil law of the victim’s contribution to damage as a basis for its mitigation.</p>


Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1502
Author(s):  
Ben Wilkes ◽  
Igor Vatolkin ◽  
Heinrich Müller

We present a multi-modal genre recognition framework that considers the modalities audio, text, and image by features extracted from audio signals, album cover images, and lyrics of music tracks. In contrast to pure learning of features by a neural network as done in the related work, handcrafted features designed for a respective modality are also integrated, allowing for higher interpretability of created models and further theoretical analysis of the impact of individual features on genre prediction. Genre recognition is performed by binary classification of a music track with respect to each genre based on combinations of elementary features. For feature combination a two-level technique is used, which combines aggregation into fixed-length feature vectors with confidence-based fusion of classification results. Extensive experiments have been conducted for three classifier models (Naïve Bayes, Support Vector Machine, and Random Forest) and numerous feature combinations. The results are presented visually, with data reduction for improved perceptibility achieved by multi-objective analysis and restriction to non-dominated data. Feature- and classifier-related hypotheses are formulated based on the data, and their statistical significance is formally analyzed. The statistical analysis shows that the combination of two modalities almost always leads to a significant increase of performance and the combination of three modalities in several cases.


Symmetry ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1143 ◽  
Author(s):  
Krzysztof Gdawiec ◽  
Wiesław Kotarski ◽  
Agnieszka Lisowska

The aim of this paper is to investigate experimentally and to present visually the dynamics of the processes in which in the standard Newton’s root-finding method the classic derivative is replaced by the fractional Riemann–Liouville or Caputo derivatives. These processes applied to polynomials on the complex plane produce images showing basins of attractions for polynomial zeros or images representing the number of iterations required to obtain polynomial roots. These latter images were called by Kalantari as polynomiographs. We use both: the colouring by roots to present basins of attractions, and the colouring by iterations that reveal the speed of convergence and dynamic properties of processes visualised by polynomiographs.


2015 ◽  
Vol 2015 ◽  
pp. 1-19 ◽  
Author(s):  
Krzysztof Gdawiec ◽  
Wiesław Kotarski ◽  
Agnieszka Lisowska

A survey of some modifications based on the classic Newton’s and the higher order Newton-like root finding methods for complex polynomials is presented. Instead of the standard Picard’s iteration several different iteration processes, described in the literature, which we call nonstandard ones, are used. Kalantari’s visualizations of root finding process are interesting from at least three points of view: scientific, educational, and artistic. By combining different kinds of iterations, different convergence tests, and different colouring we obtain a great variety of polynomiographs. We also check experimentally that using complex parameters instead of real ones in multiparameter iterations do not destabilize the iteration process. Moreover, we obtain nice looking polynomiographs that are interesting from the artistic point of view. Real parts of the parameters alter symmetry, whereas imaginary ones cause asymmetric twisting of polynomiographs.


2010 ◽  
Vol 164 ◽  
pp. 377-382
Author(s):  
Krzysztof Lipiński

The paper deals with numerical analysis of dynamics of walking robots. The focus is on limb/ground contact. Normal and tangent direction are considered separately. In the normal one, the contacts are modeled as unilateral constraints. In the tangent one, slip and friction are considered. As the contacts are unilateral, nonzero velocities could be present before the contact. These velocities diminish rapidly, and significant contact forces are present. The forces have destructive influence on the robot structure, and the impulsive changes of the arms velocities can disorient the control system. In the paper, the impact consequences are discussed, as well as consequences of installation of a 0/1 contact sensor. A 3D mechatronic multibody model of a quote of a robot is considered. Its limb is driven by DC motors and controlled by a dedicated control system. With the zero signals from the sensor, the control prevents a constant velocity of the limb end. The normal component of the velocity has to be stopped at the positive signals, and the motor current has to be reduced. Exemplary calculations are presented in the paper.


Author(s):  
David H. Wang ◽  
Michael J. Bockelie ◽  
Marc A. Cremer ◽  
J.-Y. Chen

To date, computational fluid dynamics (CFD) codes aimed at solving practical engineering problems involving chemically reacting flow have incorporated relatively simple descriptions of the chemical mechanisms involved. Techniques are now available to create reduced mechanisms that faithfully represent detailed chemical descriptions over an appropriate range of conditions using many fewer species. However, including reduced mechanisms into a CFD analysis typically leads to numerical difficulties. In a recent project, a new modeling tool was created that utilizes a combination of state-of-the-art techniques used by Reaction Engineering International (REI) for modeling finite rate chemistry in chemically reacting flows using reduced mechanisms with emerging Newton-Krylov methods for solving systems of non-linear equations. For tests problems ranging from geometrically simple combustion problems to full-scale utility boiler simulations, the Newton-Krylov solver has reduced the CPU time to achieve a solution by up to 60% compared to our traditional Picard iteration method. This paper discusses the implementation of the Newton-Krylov solver into the REI combustion code, the impact of parameters on the performance of the Newton-Krylov solver for solving problems using reduced mechanisms, and demonstration of the Newton-Krylov solver on full-scale utility boiler NOx simulations.


2018 ◽  
Vol 10 (8) ◽  
pp. 2593 ◽  
Author(s):  
Jacinto Garrido-Velarde ◽  
María Montero-Parejo ◽  
Julio Hernández-Blanco ◽  
Lorenzo García-Moruno

The perception of apparent sizes of buildings in a rural environment depends on the height ratio between the building and its surrounding vegetation, and it is this parameter which is currently used to assess the built landscapes. The impact of a contrasting height is less strong if the building does not exceed the horizon line. For buildings overshooting the skyline, the building’s level of sharpness and number of lines in contrast to the sky determines the impact of the scales, and vegetation in the background helps to reduce impact. The specific objectives of the present study were: (1) finding height–ratio thresholds between building and background vegetation, which may improve the integration of rural buildings in sky-sensitive locations, and; (2) comparing the results in two rural contexts with very different climatic conditions: Spain and Sweden. A survey of eighteen scenarios (nine Spanish and nine Swedish), all digitally modified with different relative height ratios between vegetation and buildings, was performed. The survey was evaluated by the public from both countries. Regardless of the country of origin, integration of the building was good or very good when the vegetation in background did not exceed one half of the height of the construction. These results may be translated to technical criteria for planning assessment.


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