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Interactions between Group Theory, Symmetry and Cryptology

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ISBN: 9783039288021 / 9783039288038 Year: Pages: 164 DOI: 10.3390/books978-3-03928-803-8 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2020-06-09 16:38:57
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Cryptography lies at the heart of most technologies deployed today for secure communications. At the same time, mathematics lies at the heart of cryptography, as cryptographic constructions are based on algebraic scenarios ruled by group or number theoretical laws. Understanding the involved algebraic structures is, thus, essential to design robust cryptographic schemes. This Special Issue is concerned with the interplay between group theory, symmetry and cryptography. The book highlights four exciting areas of research in which these fields intertwine: post-quantum cryptography, coding theory, computational group theory and symmetric cryptography. The articles presented demonstrate the relevance of rigorously analyzing the computational hardness of the mathematical problems used as a base for cryptographic constructions. For instance, decoding problems related to algebraic codes and rewriting problems in non-abelian groups are explored with cryptographic applications in mind. New results on the algebraic properties or symmetric cryptographic tools are also presented, moving ahead in the understanding of their security properties. In addition, post-quantum constructions for digital signatures and key exchange are explored in this Special Issue, exemplifying how (and how not) group theory may be used for developing robust cryptographic tools to withstand quantum attacks.

Entropy Measures for Data Analysis: Theory, Algorithms and Applications

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ISBN: 9783039280322 9783039280339 Year: Pages: 260 DOI: 10.3390/books978-3-03928-033-9 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering --- Environmental Engineering
Added to DOAB on : 2020-01-07 09:21:22
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Entropies and entropy-like quantities play an increasing role in modern non-linear data analysis. Fields that benefit from this application range from biosignal analysis to econophysics and engineering. This issue is a collection of papers touching on different aspects of entropy measures in data analysis, as well as theoretical and computational analyses. The relevant topics include the difficulty to achieve adequate application of entropy measures and the acceptable parameter choices for those entropy measures, entropy-based coupling, and similarity analysis, along with the utilization of entropy measures as features in automatic learning and classification. Various real data applications are given.

Keywords

experiment of design --- empirical mode decomposition --- signal analysis --- similarity indices --- synchronization analysis --- auditory attention --- entropy measure --- linear discriminant analysis (LDA) --- support vector machine (SVM) --- auditory attention classifier --- electroencephalography (EEG) --- vague entropy --- distance induced vague entropy --- distance --- complex fuzzy set --- complex vague soft set --- entropy, entropy visualization --- entropy balance equation --- Shannon-type relations --- multivariate analysis --- machine learning evaluation --- data transformation --- sample entropy --- treadmill walking --- center of pressure displacement --- dual-tasking --- analog circuit --- fault diagnosis --- cross wavelet transform --- Tsallis entropy --- parametric t-distributed stochastic neighbor embedding --- support vector machine --- information transfer --- Chinese stock sectors --- effective transfer entropy --- market crash --- system coupling --- cross-visibility graphs --- image entropy --- geodesic distance --- Dempster-Shafer evidence theory --- uncertainty of basic probability assignment --- belief entropy --- plausibility transformation --- weighted Hartley entropy --- Shannon entropy --- learning --- information --- novelty detection --- non-probabilistic entropy --- learning systems --- permutation entropy --- embedded dimension --- short time records --- signal classification --- relevance analysis --- global optimization --- meta-heuristic --- firefly algorithm --- cross-entropy method --- co-evolution --- symbolic analysis --- ordinal patterns --- Permutation entropy --- conditional entropy of ordinal patterns --- Kolmogorov-Sinai entropy --- algorithmic complexity --- information entropy --- particle size distribution --- selfsimilar measure --- simulation --- data analysis --- entropy --- entropy measures --- automatic learning

Entropy in Dynamic Systems

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ISBN: 9783039216161 9783039216178 Year: Pages: 172 DOI: 10.3390/books978-3-03921-617-8 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2019-12-09 11:49:16
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In order to measure and quantify the complex behavior of real-world systems, either novel mathematical approaches or modifications of classical ones are required to precisely predict, monitor, and control complicated chaotic and stochastic processes. Though the term of entropy comes from Greek and emphasizes its analogy to energy, today, it has wandered to different branches of pure and applied sciences and is understood in a rather rough way, with emphasis placed on the transition from regular to chaotic states, stochastic and deterministic disorder, and uniform and non-uniform distribution or decay of diversity. This collection of papers addresses the notion of entropy in a very broad sense. The presented manuscripts follow from different branches of mathematical/physical sciences, natural/social sciences, and engineering-oriented sciences with emphasis placed on the complexity of dynamical systems. Topics like timing chaos and spatiotemporal chaos, bifurcation, synchronization and anti-synchronization, stability, lumped mass and continuous mechanical systems modeling, novel nonlinear phenomena, and resonances are discussed.

Entropy in Image Analysis

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ISBN: 9783039210923 9783039210930 Year: Pages: 456 DOI: 10.3390/books978-3-03921-093-0 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2019-06-26 08:44:06
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Image analysis is a fundamental task for extracting information from images acquired across a range of different devices. Since reliable quantitative results are requested, image analysis requires highly sophisticated numerical and analytical methods—particularly for applications in medicine, security, and remote sensing, where the results of the processing may consist of vitally important data. The contributions to this book provide a good overview of the most important demands and solutions concerning this research area. In particular, the reader will find image analysis applied for feature extraction, encryption and decryption of data, color segmentation, and in the support new technologies. In all the contributions, entropy plays a pivotal role.

Keywords

image retrieval --- multi-feature fusion --- entropy --- relevance feedback --- chaotic system --- image encryption --- permutation-diffusion --- SHA-256 hash value --- dynamic index --- entropy --- keyframes --- Shannon’s entropy --- sign languages --- video summarization --- video skimming --- image encryption --- multiple-image encryption --- two-dimensional chaotic economic map --- security analysis --- image encryption --- chaotic cryptography --- cryptanalysis --- chosen-plaintext attack --- image information entropy --- blind image quality assessment (BIQA) --- information entropy, natural scene statistics (NSS) --- Weibull statistics --- discrete cosine transform (DCT) --- ultrasound --- hepatic steatosis --- Shannon entropy --- fatty liver --- metabolic syndrome --- multi-exposure image fusion --- texture information entropy --- adaptive selection --- patch structure decomposition --- image encryption --- time-delay --- random insertion --- information entropy --- chaotic map --- uncertainty assessment --- deep neural network --- random forest --- Shannon entropy --- positron emission tomography --- reconstruction --- field of experts --- additive manufacturing --- 3D prints --- 3D scanning --- image entropy --- depth maps --- surface quality assessment --- machine vision --- image analysis --- Arimoto entropy --- free-form deformations --- normalized divergence measure --- gradient distributions --- nonextensive entropy --- non-rigid registration --- pavement --- macrotexture --- 3-D digital imaging --- entropy --- decay trend --- discrete entropy --- infrared images --- low contrast --- multiscale top-hat transform --- image encryption --- DNA encoding --- chaotic cryptography --- cryptanalysis --- image privacy --- computer aided diagnostics --- colonoscopy --- Rényi entropies --- structural entropy --- spatial filling factor --- binary image --- Cantor set --- Hénon map --- Minkowski island --- prime-indexed primes --- Ramanujan primes --- Kapur’s entropy --- color image segmentation --- whale optimization algorithm --- differential evolution --- hybrid algorithm --- Otsu method --- image encryption --- dynamic filtering --- DNA computing --- 3D Latin cube --- permutation --- diffusion --- fuzzy entropy --- electromagnetic field optimization --- chaotic strategy --- color image segmentation --- multilevel thresholding --- contrast enhancement --- sigmoid --- Tsallis statistics --- q-exponential --- q-sigmoid --- q-Gaussian --- ultra-sound images --- person re-identification --- image analysis --- hash layer --- quantization loss --- Hamming distance --- cross-entropy loss --- image entropy --- Shannon entropy --- generalized entropies --- image processing --- image segmentation --- medical imaging --- remote sensing --- security

Discrete Mathematics and Symmetry

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ISBN: 9783039281909 9783039281916 Year: Pages: 458 DOI: 10.3390/books978-3-03928-191-6 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2020-04-07 23:07:08
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Some of the most beautiful studies in Mathematics are related to Symmetry and Geometry. For this reason, we select here some contributions about such aspects and Discrete Geometry. As we know, Symmetry in a system means invariance of its elements under conditions of transformations. When we consider network structures, symmetry means invariance of adjacency of nodes under the permutations of node set. The graph isomorphism is an equivalence relation on the set of graphs. Therefore, it partitions the class of all graphs into equivalence classes. The underlying idea of isomorphism is that some objects have the same structure if we omit the individual character of their components. A set of graphs isomorphic to each other is denominated as an isomorphism class of graphs. The automorphism of a graph will be an isomorphism from G onto itself. The family of all automorphisms of a graph G is a permutation group.

Keywords

strongly regular graph --- automorphism group --- orbit matrix --- binary polyhedral group --- icosahedron --- dodecahedron --- 600-cell --- Electric multiple unit trains --- high-level maintenance planning --- time window --- 0–1 programming model --- particle swarm algorithm --- fixed point --- split-quaternion --- quadratic polynomial --- split-octonion --- neutrosophic set --- neutrosophic rough set --- pessimistic (optimistic) multigranulation neutrosophic approximation operators --- complete lattice --- rough set --- matroid --- operator --- attribute reduction --- graded rough sets --- rough intuitionistic fuzzy sets --- dominance relation --- logical conjunction operation --- logical disjunction operation --- multi-granulation --- planar point set --- convex polygon --- disjoint holes --- fuzzy logic --- pseudo-BCI algebra --- quasi-maximal element --- KG-union --- quasi-alternating BCK-algebra --- quality function deployment --- engineering characteristics --- group decision making --- 2-tuple --- metro station --- emergency routes --- graph partitioning --- graph clustering --- invariant measures --- partition comparison --- finite automorphism groups --- graph automorphisms --- Fuzzy sets --- ring --- normed space --- fuzzy normed ring --- fuzzy normed ideal --- fuzzy implication --- quantum B-algebra --- q-filter --- quotient algebra --- basic implication algebra --- Detour–Harary index --- maximum --- unicyclic --- bicyclic --- cacti --- three-way decisions --- intuitionistic fuzzy sets --- multi-granulation rough intuitionistic fuzzy sets --- granularity importance degree --- complexity --- Chebyshev polynomials --- gear graph --- pyramid graphs --- edge detection --- Laplacian operation --- regularization --- parameter selection --- performance evaluation --- aggregation operator --- triangular norm --- ?-convex set --- atom-bond connectivity index --- geometric arithmetic index --- line graph --- generalized bridge molecular graph --- graceful labeling --- edge graceful labeling --- edge even graceful labeling --- polar grid graph --- graph --- good drawing --- crossing number --- join product --- cyclic permutation --- nonlinear --- synchronized --- linear discrete --- chaotic system --- algorithm --- generalized permanental polynomial --- coefficient --- co-permanental --- isoperimetric number --- random graph --- intersection graph --- social network --- Abel–Grassmann’s groupoid (AG-groupoid) --- Abel–Grassmann’s group (AG-group) --- involution AG-group --- commutative group --- filter --- graceful labeling --- edge even graceful labeling --- cylinder grid graph --- selective maintenance --- multi-state system --- human reliability --- optimization --- genetic algorithm --- hypernear-ring --- multitransformation --- embedding --- distance matrix (spectrum) --- distance signlees Laplacian matrix (spectrum) --- (generalized) distance matrix --- spectral radius --- transmission regular graph --- graph --- good drawing --- crossing number --- join product --- cyclic permutation --- cyclic associative groupoid (CA-groupoid) --- cancellative --- variant CA-groupoids --- decomposition theorem --- construction methods

Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors

Authors: --- --- --- --- et al.
ISBN: 9783038978985 9783038978992 Year: Pages: 290 DOI: 10.3390/books978-3-03897-899-2 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2019-06-26 10:09:00
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In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.

Keywords

new chaotic system --- multiple attractors --- electronic circuit realization --- S-Box algorithm --- chaotic systems --- circuit design --- parameter estimation --- optimization methods --- Gaussian mixture model --- chaotic system --- empirical mode decomposition --- permutation entropy --- image encryption --- hidden attractors --- fixed point --- stability --- nonlinear transport equation --- stochastic (strong) entropy solution --- uniqueness --- existence --- multiscale multivariate entropy --- multistability --- self-reproducing system --- chaos --- hidden attractor --- self-excited attractor --- fractional order --- spectral entropy --- coexistence --- multistability --- chaotic flow --- hidden attractor --- multistable --- entropy --- core entropy --- Thurston’s algorithm --- Hubbard tree --- external rays --- chaos --- Lyapunov exponents --- multiple-valued --- static memory --- strange attractors --- fractional discrete chaos --- entropy --- projective synchronization --- full state hybrid projective synchronization --- generalized synchronization --- inverse full state hybrid projective synchronization --- inverse generalized synchronization --- multichannel supply chain --- service game --- chaos --- entropy --- BOPS --- Hopf bifurcation --- self-excited attractors --- multistability --- sample entropy --- PRNG --- Non-equilibrium four-dimensional chaotic system --- entropy measure --- adaptive approximator-based control --- neural network --- uncertain dynamics --- synchronization --- fractional-order --- complex-variable chaotic system --- unknown complex parameters --- chaotic map --- fixed point --- chaos --- approximate entropy --- implementation --- hidden attractor --- hyperchaotic system --- multistability --- entropy analysis --- hidden attractor --- complex systems --- fractional-order --- entropy --- chaotic maps --- chaos --- spatial dynamics --- Bogdanov Map --- chaos --- laser --- resonator

Signal Processing and Analysis of Electrical Circuit

Authors: --- ---
ISBN: 9783039282944 9783039282951 Year: Pages: 604 DOI: 10.3390/books978-3-03928-295-1 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2020-04-07 23:07:09
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This Special Issue with 35 published articles shows the significance of the topic “Signal Processing and Analysis of Electrical Circuit”. This topic has been gaining increasing attention in recent times. The presented articles can be categorized into four different areas: signal processing and analysis methods of electrical circuits; electrical measurement technology; applications of signal processing of electrical equipment; fault diagnosis of electrical circuits. It is a fact that the development of electrical systems, signal processing methods, and circuits has been accelerating. Electronics applications related to electrical circuits and signal processing methods have gained noticeable attention in recent times. The methods of signal processing and electrical circuits are widely used by engineers and scientists all over the world. The constituent papers represent a significant contribution to electronics and present applications that can be used in industry. Further improvements to the presented approaches are required for realizing their full potential.

Keywords

VMD --- signal analysis --- ICEEMD --- IMF --- random noise --- attenuation --- commutator motor --- fault diagnosis --- method --- technique --- signal processing --- acoustic --- Inner and outer product --- tensor --- FPGA --- hardware --- direct digital synthesizer (DDS) --- frequency tuning word (FTW) --- stability --- accuracy --- demodulation --- phase-locked loop --- Chebyshev filter --- measurement noise suppression --- class AB operation --- CMOS --- current mirror --- current buffer --- quasi floating gate --- low power --- CMOS --- dynamic comparator --- offset calibration --- high speed --- low noise --- low power --- ADC --- all-pass filter --- CMOS --- time delay --- broadband --- true-time-delay --- electrochemical impedance spectroscopy --- FRA --- multichannel acquisition --- impedance spectrometry --- microcontroller --- intelligent vehicles --- LiDAR odometry --- range sensing --- simultaneous localization and mapping (SLAM) --- tilt sensor --- sensor data fusion --- complementary filters --- overlap-add processing --- spectral analysis --- variational mode decomposition (VMD) --- duffing chaotic oscillator (DCO) --- permutation entropy (PE) --- feature extraction --- frequency characteristic --- underwater acoustic signal --- ship-radiated noise --- PM/PWM --- capacitance-to-time conversion --- differential capacitive sensor --- brick-wall filter --- fuzzy logic --- induction motor --- Shannon entropy --- short-circuit fault --- APF --- CNFET --- pole-frequency --- chirality --- phase angle --- tuning --- DC–DC converter --- switched capacitor --- power management integrated circuit --- CMOS technology --- frequency standard comparator --- dual Mixing Time difference --- phase difference --- correlation function --- chebyshev polynomial --- compressed sensing --- estimated sparsity --- least squares solution --- stochastic gradient --- reconstruction probability --- direct position determination --- array signal processing --- Doppler shifts --- matrix eigen-perturbation theory --- system errors --- Cramér–Rao bound --- differential power analysis (DPA), SIMON --- fault injection --- double rate --- power randomization --- intention of movement classification --- EMG-Signals --- Support Vector Machines --- asynchronous --- delay cell --- passive resistor --- SAR ADC --- loop delay circuit --- Resistance-to-Period converter --- robust read-out circuits --- ratiometric technique --- Fresnel lens --- wingbeat --- insects --- optoelectronics --- bees --- wasps --- fruit flies --- e-traps --- analog-to-digital converter --- successive approximation register --- direct sampling --- time-interleaved --- channel-selection-embedded bootstrap --- segmented pre-quantization and bypass --- LVDS --- high-speed serial interface --- transmitter --- receiver --- low-power --- image fusion --- multi-sensor fusion --- night vision --- hierarchical heterogeneous multi-DAG workflow --- multigroup scan --- ultrasonic phased array --- heterogeneous earliest finish time --- resolver --- discrete wavelet transform --- singular value decomposition --- automatic calibration --- noise reduction --- ripple voltage measurement --- DAC --- comparator --- peak-ripple estimation --- binary search --- low-cost --- secret image sharing --- digital image --- n-out-of-n scheme --- color palette --- colluder attack --- image restoration --- impulse noise --- ADMM --- HOCTVL1 --- spatially adapted regularization parameter --- rod electrode --- electrostatic induction --- method of images --- induced charge --- induced current --- 3D-IC design --- NILT --- TSV noise coupling --- RDL --- chain matrix --- interconnect line --- n/a

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