Quenched trap model for Lévy flights

Magdziarz, Marcin; Szczotka, Władysław

doi:10.1016/j.cnsns.2015.05.027

Cited by 12 publications

(8 citation statements)

References 57 publications

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“…It tells us that in the considered model coupling dissapears for long periods. This means that the studied model has exactly the same asymptotic properties as the model of Lévy flights in quenched environment, which was studied recently in [30]. Thus, the further results and methods follow the same line as the ones presented in [30].…”

Section: Proof See Appendix a □supporting

confidence: 63%

“…We analyze the continuous-time limit of such coupled trap model. We show that for long times coupling disappears and the behaviour of the analyzed process is exactly the same as in the case of uncoupled quenched trap model for Lévy flights, which was recently analyzed in [30].…”

Section: Introductionsupporting

confidence: 65%

“…It was proved that, except from the one dimensional case, the long time limit of the quenched trap model and the annealed CTRW is the same [21]. Quenched trap model for Lévy flights was recently analyzed in [30].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Coupled continuous time-random walks in quenched random environment

Magdziarz

Szczotka

2018

J. Stat. Mech.

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We introduce a coupled continuous-time random walk with coupling which is characteristic for Lévy walks. Additionally we assume that the walker moves in a quenched random environment, i.e. the site disorder at each lattice point is fixed in time. We analyze the scaling limit of such a random walk. We show that for large times the behaviour of the analyzed process is exactly the same as in the case of uncoupled quenched trap model for Lévy flights.

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Section: Proof See Appendix a □supporting

confidence: 63%

Section: Introductionsupporting

confidence: 65%

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Coupled continuous time-random walks in quenched random environment

Magdziarz

Szczotka

2018

J. Stat. Mech.

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“…Lévy flight is a special random movement (Magdziarz and Szczotka, 2016) whose steps can be generated by ( 13):…”

Section: Flying Workersmentioning

confidence: 99%

A meta-inspired termite queen algorithm for global optimization and engineering design problems

Chen

Zhou

Zhang

et al. 2022

Engineering Applications of Artificial Intelligence

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“…Two essential characteristics such as step length of the walk and uniform distribution direction are to implementing LFs. Here, the step length L is calculated according to Mantegna's algorithm (Magdziarz et al 2016), which is shown in equation (3). .…”

Section: (Ii)mentioning

confidence: 99%

LFD-CNN: Levy Flight Distribution based Convolutional Neural Network for an Adaptive Learning Style Prediction in E-learning Environment

Alshmrany

2022

Preprint

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One of the essential factors in any learning environment is a learning style that deals with individual learning. With different learning styles, each learner has different ways of understanding, retaining, processing, and perceiving new knowledge. Automatic student learning style determination has become an important ability of the e-learning system. For learning events, the evolution of e-learning platforms provides students with higher opportunities online. In this article, we proposed a Convolutional Neural Network-based Levy Flight Distribution (CNN-LFD) algorithm for learning style prediction. An adaptive e-learning system is broken up into an automatic learning style prediction and classification based on the number of learning styles incorporated. Initially, the learner's login the ID, and the data are stored in the database. The features such as questionnaire score, login credentials (session ID, learner ID, and course ID), and login time (location, session ID) are extracted. After that, the CNN-LFD algorithm predicts the learners learning styles namely Active/reflective, Sensing/intuitive, visual/verbal, sequential/global based on the extracted features. The dataset details are obtained from Massive Open Online Course (MOOC) and the proposed model is implemented in JAVA software. The experimental results demonstrate higher classification accuracy during learning style prediction.

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Quenched trap model for Lévy flights

Cited by 12 publications

References 57 publications

Coupled continuous time-random walks in quenched random environment

Coupled continuous time-random walks in quenched random environment

A meta-inspired termite queen algorithm for global optimization and engineering design problems

LFD-CNN: Levy Flight Distribution based Convolutional Neural Network for an Adaptive Learning Style Prediction in E-learning Environment

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