Our research focuses on the structure of a research community of Russian scientists involved in network studies, which is studied by means of analysis of articles published in Russian-language journals. the direction ...
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Copulas are known to provide a flexible tool for analyzing the dependence structure between random events. Here we apply the newly introduced notion of evolution of copulas to real data of exchange rates so that we en...
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ISBN:
(纸本)9783319570990;9783319570983
Copulas are known to provide a flexible tool for analyzing the dependence structure between random events. Here we apply the newly introduced notion of evolution of copulas to real data of exchange rates so that we ensure the quality of practically employing our theory. Results show that our algorithm provides a prospective handy method in computational finance.
the Riemannian metamorphosis model introduced and analyzed in [7,12] is taken into account to develop an image extrapolation tool in the space of images. To this end, the variational time discretization for the geodes...
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ISBN:
(纸本)9783319587714;9783319587707
the Riemannian metamorphosis model introduced and analyzed in [7,12] is taken into account to develop an image extrapolation tool in the space of images. To this end, the variational time discretization for the geodesic interpolation proposed in [2] is picked up to define a discrete exponential map. For a given weakly differentiable initial image and a sufficiently small initial image variation it is shown how to compute a discrete geodesic extrapolation path in the space of images. the resulting discrete paths are indeed local minimizers of the corresponding discrete path energy. A spatial Galerkin discretization with cubic splines on coarse meshes for image deformations and piecewise bilinear finite elements on fine meshes for image intensity functions is used to derive a fully practical algorithm. the method is applied to real images and image variations recorded with a digital camera.
the number of smart devices connected to the Internet is growing at an enormous pace and will reach 30 billion within the next five years. A large fraction of these devices have limited processing capabilities and ene...
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the number of smart devices connected to the Internet is growing at an enormous pace and will reach 30 billion within the next five years. A large fraction of these devices have limited processing capabilities and energy supply, which makes the execution of computation-intensive cryptographic algorithms very costly. this problem is exacerbated by the fact that basic optimization techniques like loop unrolling can not (always) be applied since cryptographic software for the IoT often needs to meet strict constraints on code size to not exceed the program storage capacity of the target device. In this paper we introduce SECCCM3, a "lightweight" software library for scalable elliptic curve cryptography on ARM Cortex-M3 microcontrollers. the current version of SECCCM3 is able to carry out variable-base scalar multiplication on Montgomery-form curves over pseudo-Mersenne prime fields, such as Curve25519, and can be used to implement static ECDH key exchange. SECCCM3 is scalable in the sense that it supports curves of different order (as long as certain conditions are met), thereby enabling trade-offs between security and execution time (resp. energy dissipation). We made an effort to protect the field arithmetic against Timing Attacks (TAs) and Simple Power Analysis (SPA), taking into account the so-called early-termination effect of the Cortex-M3 integer multiplier, which makes the latency of "long" multiply instructions operand-dependent. Our experiments show that the integration of countermeasures against information leakage caused by this effect increases the execution time by 34%, while the code size grows by 13%. A TA and SPA-resistant scalar multiplication on Curve25519 has an execution time of 4.565 million clock cycles and consumes approximately 2.3 mJ of energy when executed on a STM32L152RE Cortex-M3 microcontroller. SECCCM3 has a binary code size of 4.0 kB, which includes domain parameters for curves over 159, 191, 223, and 255-bit prime fields.
the main approach to solve hyperelliptic curve DLP is index calculus algorithm. One of the most important steps is to obtain relations among the factor basis elements. Although Nagao and Joux proposed decomposition me...
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ISBN:
(纸本)9781509059577
the main approach to solve hyperelliptic curve DLP is index calculus algorithm. One of the most important steps is to obtain relations among the factor basis elements. Although Nagao and Joux proposed decomposition methods respectively, their algorithms required solving a multi-variate system of non-linear equations. We propose a new method to find the relations among factor basis elements for a class of special hyperelliptic curves y(2) + y = x(29+1) + A(0) over finite field K withthe characteristic 2. Let G(x,y) = R(x) + yT(x) and H(x) be the norm of G(x,y). We prove that supp(div(G(x,y))) subset of supp(div(H(x)). then we show how to obtain relations among factor basis, by solving several linear equations and univariate equations with relatively low degree. Let g be the genus of hyperelliptic curve. After (6g+3)! trials we may obtain a single relation. We also give some examples to illustrate the effectiveness of our algorithm when g = 2,3.
Resonance phenomena in inhomogeneous layered and blocky media are investigated on the basis of the discrete model of transverse-rotational oscillations in linear monoatomic chain. To analyze the behavior of the system...
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ISBN:
(纸本)9783319570990;9783319570983
Resonance phenomena in inhomogeneous layered and blocky media are investigated on the basis of the discrete model of transverse-rotational oscillations in linear monoatomic chain. To analyze the behavior of the system in near-resonance region, spectral portraits are built. It allows to visualize resonant frequencies and to analyze alteration of an amplitude vector. Using mentioned model, a set of resonant frequencies are found. It is shown that there exists one specific frequency, which does not depend on the number of particles in the chain. In passing to the limit as the chain length tends to infinity, this frequency, related to rotational particles vibration, is the unique resonant frequency. the discussed property is associated withthe previously studied property of the Cosserat continuum, where the resonant frequency of rotational motion exists, which does not depend on the specimen size and on the conditions of loading at its boundary.
the contribution of several compression algorithms plays a significant role in minimizing the size of multiple radiological images from last decade. However, a closer look into existing work will show that there is a ...
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ISBN:
(数字)9783319572642
ISBN:
(纸本)9783319572642
the contribution of several compression algorithms plays a significant role in minimizing the size of multiple radiological images from last decade. However, a closer look into existing work will show that there is a big trade-off between compression performance and data quality during the reconstruction process. We review the existing research work being carried out and briefs such problems and trade-off. this paper presents a framework called as CARIC (Combinatorial Approach for Radiological Image Compression) that uses a combinatorial approach of both lossy and lossless compression schemes unique in any radiological image. Using maximum numbers and modalities of different radiological images, we also compare CARIC with some recent and relevant work of compression to find that CARIC offers better image compression ratio along with a great balance among quality of the reconstructed image and faster response time.
In this contribution, a simple and effective discrete element model based on rigid blocks and elastic interfaces with fixed contact topology, originally introduced for modeling regular masonry panels, is extended to t...
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ISBN:
(纸本)9786188284418
In this contribution, a simple and effective discrete element model based on rigid blocks and elastic interfaces with fixed contact topology, originally introduced for modeling regular masonry panels, is extended to the case of random masonry by introducing a perturbation parameter able to vary the width of each block. the proposed model is then able to better reproduce the microstructural behavior of historical masonry, that is characterized by dry or weak mortar joints between strong blocks, and, in particular, that is characterized by blocks often arranged irregularly. the hypothesis of rigid blocks, together with fixed contact topology between blocks due to the small displacements assumption, allows adopting an efficient solution method based on the determination of the stiffness matrix of the masonry assemblage. In this case, the stiffness matrix is able to account for the irregular block arrangement and, similarly to the case of regular masonry, the stiffness matrix is based on local joint stiffness, given that the contact actions along the joints are function of the relative displacements between adjacent blocks and the corresponding interface stiffness. Several numerical tests varying the random perturbation parameter are performed in order to evaluate the influence of randomness on masonry specimen behavior with respect to the regular case. Particular attention is given to the dynamic field by performing out-of-plane modal analysis of masonry panels. Furthermore, a homogenization procedure is applied to the random masonry and a numerical evaluation of the scatter between the discrete models and a 2D Reissner-Mindlin plate model is performed for varying perturbation parameter and for increasing heterogeneity parameter. As expected, when the number of heterogeneities in the structure is large enough, the average response of the random discrete model converges to an asymptotic response.
作者:
Yaparova, Natalia M.Natl Res Univ
South Ural State Univ Dept Computat Math & High Performance Comp Pr Lenin 76 Chelyabinsk 454080 Russia
We consider an inverse boundary values problem for parabolic PDE with unknown initial conditions. In this problem both Dirichlet and Neumann boundary conditions are given on a part of the boundary and it is required t...
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ISBN:
(纸本)9783319570990;9783319570983
We consider an inverse boundary values problem for parabolic PDE with unknown initial conditions. In this problem both Dirichlet and Neumann boundary conditions are given on a part of the boundary and it is required to determine the corresponding function on the remaining part of the boundary. To solve this problem, the numerical method based on finite difference schemes and regularization technique is proposed. the computing scheme involves solving the equation for each spatial step that allows to obtain the numerical solution in internal points of the domain and on the boundary. We prove a conditional stability of the method. the reliability and the efficiency of the method were confirmed by computational results.
Cancelable biometric system is a transformation technique for securing biometric templates. this work proposes application of bi-level template securing technique at feature-level, and generates revocable templates. T...
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