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Advanced Search Results For "hurst parameter"

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 "hurst parameter"
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Dependence Research on Multi-Layer Convolutions of Images

Publication Type: Academic Journal

Source(s): Frontiers in Physics, Vol 10 (2022)

Abstract: Convolutions are important structures in deep learning. However, theoretical analysis on the dependence among multi-layer convolutions cannot be found until now. In this paper, the image pixels before, in, and after multi-layer convolutions are of modi...

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Dehazing Based on Long-Range Dependence of Foggy Images

Publication Type: Academic Journal

Source(s): Frontiers in Physics, Vol 10 (2022)

Abstract: Deep neural networks (DNNs) with long-range dependence (LRD) have attracted more and more attention recently. However, LRD of DNNs is proposed from the view on gradient disappearance in training, which lacks theory analysis. In order to prove LRD of fo...

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A Generalization of Multifractional Brownian Motion

Publication Type: Academic Journal

Source(s): Fractal and Fractional, Vol 6, Iss 74, p 74 (2022)

Abstract: In this article, some properties of multifractional Brownian motion (MFBM) are discussed. It is shown that it has persistence of signs long range dependence (LRD) and persistence of magnitudes LRD properties. A generalization called here nth order mult...

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Spectral analysis of heat fl uctuations in KI transient premelting states

Publication Type: Academic Journal

Source(s): Конденсированные среды и межфазные границы, Vol 22, Iss 2, Pp 238-244 (2020)

Abstract: Nonequlibrium fl uctuations, which are of nonlinear Brownian noise by type, occur in different systems near the phase transition points. As a rule, such nonequlibrium processes are the precursors of materials fracture and degradation. Observation of th...

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Distinguishing Epileptiform Discharges From Normal Electroencephalograms Using Adaptive Fractal and Network Analysis: A Clinical Perspective

Publication Type: Academic Journal

Source(s): Frontiers in Physiology, Vol 11 (2020)

Abstract: Epilepsy is one of the most common disorders of the brain. Clinically, to corroborate an epileptic seizure-like symptom and to find the seizure localization, electroencephalogram (EEG) data are often visually examined by a clinical doctor to detect the...

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Generalized Cauchy Process: Difference Iterative Forecasting Model

Publication Type: Academic Journal

Source(s): Fractal and Fractional, Vol 5, Iss 38, p 38 (2021)

Abstract: The contribution of this article is mainly to develop a new stochastic sequence forecasting model, which is also called the difference iterative forecasting model based on the Generalized Cauchy (GC) process. The GC process is a Long-Range Dependent (L...

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Method for detection of network traffic anomalies which is based on its self-similar traffic structure

Publication Type: Academic Journal

Source(s): Bezopasnostʹ Informacionnyh Tehnologij, Vol 26, Iss 1, Pp 98-110 (2019)

Abstract: The paper presents a method for detecting network traffic anomalies taking into account its self-similar structure. It is assumed that network traffic is a self-similar structure and is modeled by fractal Brownian motion. Existing methods of detecting ...

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Written Documents Analyzed as Nature-Inspired Processes: Persistence, Anti-Persistence, and Random Walks—We Remember, As Along Came Writing—T. Holopainen

Publication Type: Academic Journal

Source(s): Applied Sciences, Vol 10, Iss 6354, p 6354 (2020)

Abstract: Written communication is pivotal for societies to develop. However, lexicon and depth of information vary greatly among texts according to their purpose. Scientific texts, diffusion of science reports, general and area-specific news are all written dif...

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Self-Similar Markovian Sources

Publication Type: Academic Journal

Source(s): Applied Sciences, Vol 10, Iss 3727, p 3727 (2020)

Abstract: Markov queueing models are a powerful tool to evaluate the performance of computer networks and have been used in telecommunication studies for over 100 years. To apply them to the evaluation of the modern Internet, we should not only adapt them to the...

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Existence and stability for fractional parabolic integro-partial differential equations with fractional Brownian motion and nonlocal condition

Publication Type: Academic Journal

Source(s): Cogent Mathematics & Statistics, Vol 5, Iss 1 (2018)

Abstract: In this paper, a nonlinear fractional parabolic stochastic integro-partial differential equations with nonlocal effects driven by a fractional Brownian motion is considered. In particular, first we have formulated the suitable solution form for the fra...

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