Self-similarity ≈ Self-similarity
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Anomaly Detection in Nanofibrous Materials by CNN-Based Self-Similarity Open
Automatic detection and localization of anomalies in nanofibrous materials help to reduce the cost of the production process and the time of the post-production visual inspection process. Amongst all the monitoring methods, those exploitin…
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On two-scale dimension and its applications Open
Dimension or scale is everything. When a thing is observed by different scales, different results can be obtained. Two scales are enough for most of practical problems, and a new definition of a two-scale dimension instead of the fractal d…
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Scaling in Internet Traffic: A 14 Year and 3 Day Longitudinal Study, With Multiscale Analyses and Random Projections Open
International audience
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Spatial-Spectral Transformer for Hyperspectral Image Denoising Open
Hyperspectral image (HSI) denoising is a crucial preprocessing procedure for the subsequent HSI applications. Unfortunately, though witnessing the development of deep learning in HSI denoising area, existing convolution-based methods face …
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Range Entropy: A Bridge between Signal Complexity and Self-Similarity Open
Approximate entropy (ApEn) and sample entropy (SampEn) are widely used for temporal complexity analysis of real-world phenomena. However, their relationship with the Hurst exponent as a measure of self-similarity is not widely studied. Add…
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Self-similar breakup of polymeric threads as described by the Oldroyd-B model Open
When a drop of fluid containing long, flexible polymers breaks up, it forms threads of almost constant thickness, whose size decreases exponentially in time. Using an Oldroyd-B fluid as a model, we show that the thread profile, rescaled by…
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A Cautionary Note on the Use of Monin–Obukhov Similarity Theory in Very High-Resolution Large-Eddy Simulations Open
In several recent large-eddy simulation studies, the lowest grid level was located well within the roughness sublayer. Monin–Obukhov similarity-based boundary conditions cannot be used under this scenario, and in this note we elaborate on …
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Some comments on Bitcoin market (in)efficiency Open
In this paper, we explore the (in)efficiency of the continuum Bitcoin-USD market in the period ranging from mid 2010 to early 2019. To deal with, we dynamically analyse the evolution of the self-similarity exponent of Bitcoin-USD daily ret…
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SELF-SIMILARITY TECHNIQUES FOR CHAOTIC ATTRACTORS WITH MANY SCROLLS USING STEP SERIES SWITCHING Open
Highly applied in machining, image compressing, network traffic prediction, biological dynamics, nerve dendrite pattern and so on, self-similarity dynamic represents a part of fractal processes where an object is reproduced exactly or appr…
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Manifold-tiling Localized Receptive Fields are Optimal in Similarity-preserving Neural Networks Open
Many neurons in the brain, such as place cells in the rodent hippocampus, have localized receptive fields, i.e., they respond to a small neighborhood of stimulus space. What is the functional significance of such representations and how ca…
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Detection of TCP targeted high bandwidth attacks using self-similarity Open
In this paper the authors have tried to measure the impact of different variants of pulsating distributed denial of service attacks on the self-similar nature of the network traffic and to see if the variation in the H index could be used …
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The Effect of the Underlying Distribution in Hurst Exponent Estimation Open
In this paper, a heavy-tailed distribution approach is considered in order to explore the behavior of actual financial time series. We show that this kind of distribution allows to properly fit the empirical distribution of the stocks from…
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The self-similarity theory of high pressure torsion Open
By analyzing the problem of high pressure torsion (HPT) in the rigid plastic formulation, we show that the power hardening law of plastically deformed materials leads to self-similarity of HPT, admitting a simple mathematical description o…
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Self-similar compressible turbulent boundary layers with pressure gradients. Part 2. Self-similarity analysis of the outer layer Open
A thorough self-similarity analysis is presented to investigate the properties of self-similarity for the outer layer of compressible turbulent boundary layers. The results are validated using the compressible and quasi-incompressible dire…
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Quantifying resolution in cosmological <i>N-</i>body simulations using self-similarity Open
We demonstrate that testing for self-similarity in scale-free simulations provides an excellent tool to quantify the resolution at small scales of cosmological N-body simulations. Analysing two-point correlation functions measured in simul…
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A Simplified Multifractal Model for Self-Similar Traffic Flows in High-Speed Computer Networks Open
This paper proposes a multifractal model, with the aim of providing a possible explanation for the locality phenomenon that appears in the estimation of the Hurst exponent in stationary second order temporal series representing self-simila…
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Discrete Self-Similarity in Interfacial Hydrodynamics and the Formation of Iterated Structures Open
The formation of iterated structures, such as satellite and subsatellite drops, filaments, and bubbles, is a common feature in interfacial hydrodynamics. Here we undertake a computational and theoretical study of their origin in the case o…
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An Approach to Detecting Cyber Attacks against Smart Power Grids Based on the Analysis of Network Traffic Self-Similarity Open
The paper discusses an approach for detecting cyber attacks against smart power supply networks, based on identifying anomalies in network traffic by assessing its self-similarity property. Methods for identifying long-term dependence in f…
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The thin-film equation close to self-similarity Open
We study well-posedness and regularity of the multidimensional thin-film equation with linear mobility in a neighborhood of the self-similar Smyth–Hill solutions. To be more specific, we perform a von Mises change of dependent and independ…
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Efficient and Explicit Modelling of Image Hierarchies for Image Restoration Open
The aim of this paper is to propose a mechanism to efficiently and explicitly model image hierarchies in the global, regional, and local range for image restoration. To achieve that, we start by analyzing two important properties of natura…
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On the Self-Similarity in Biological Processes Open
We show that the processes described by Avrami functions are self-similar. A comparative function characterizes a self-similar process by a certain Avrami exponent. We define the self-similar categories of some well-known biological proces…
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Fractal dimension and universality in avascular tumor growth Open
For years, the comprehension of the tumor growth process has been intriguing scientists. New research has been constantly required to better understand the complexity of this phenomenon. In this paper, we propose a mathematical model that …
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Common Envelope Wind Tunnel: Range of Applicability and Self-similarity in Realistic Stellar Envelopes Open
Common envelope evolution, the key orbital tightening phase of the traditional formation channel for close binaries, is a multistage process that presents many challenges to the establishment of a fully descriptive, predictive theoretical …
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Optimal complexity and fractal limits of self-similar tensegrities Open
We study the optimal (minimum mass) problem for a prototypical self-similar tensegrity column. By considering both global and local instability, we obtain that mass minimization corresponds to the contemporary attainment of instability at …
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Enhanced CNN-LSTM Deep Learning for SCADA IDS Featuring Hurst Parameter Self-Similarity Open
Supervisory Control and Data Acquisition (SCADA) systems are crucial for modern industrial processes and securing them against increasing cyber threats is a significant challenge. This study presents an advanced method for bolstering SCADA…
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On Combining CNN With Non-Local Self-Similarity Based Image Denoising Methods Open
Despite the significant advances in convolutional neural network (CNN) based image denoising, the existing methods still cannot consistently outperform non-local self-similarity (NSS) based methods, especially on images with many repetitiv…
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Fractal nature of human gastrointestinal system: Exploring a new era Open
The morphological complexity of cells and tissues, whether normal or pathological, is characterized by two primary attributes: Irregularity and self-similarity across different scales. When an object exhibits self-similarity, its shape rem…
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Self-Similarity in a Thin Film Muskat Problem Open
The large time behavior of non-negative weak solutions to a thin film\napproximation of the two-phase Muskat problem is studied. A classification of\nself-similar solutions is first provided: there is always a unique even\nself-similar sol…
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Good and proper: self-similarity of <i>N</i>-body simulations with proper force softening Open
Analysis of self-similarity in scale-free N-body simulations reveals the spatial and temporal scales for which statistics measured in cosmological simulations are converged to the physical continuum limit. We examine how the range of scale…
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Self-Similar Processes Follow a Power Law in Discrete Logarithmic Space Open
Cities, wealth, and earthquakes follow continuous power-law probability distributions such as the Pareto distribution, which are canonically associated with scale-free behavior and self-similarity. However, many self-similar processes mani…