Physical-Layer Security Enhancement via Relay-Aided D2D Communications Underlaying Cellular Networks by Jules M. Moualeu, Telex M. N. Ngatched

“…Furthermore, to assess the usefulness of the cooperation between the D2D communication and the cellular network, we derive an analytical expression for the mutual outage probability (MOP) which represents the true outage probability across both the cellular and D2D networks. An asymptotic analysis of the MOP in the high SNR regime is obtained and the diversity order is derived. …”
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TOPOLOGICAL DERIVATIVE METHOD FOR ELECTRICAL IMPEDANCE TOMOGRAPHY PROBLEMS by Andrey Ferreira, Antonio Novotny, Jan Sokołowski

“…In the field of shape and topology optimization the new concept is the topological derivative of a given shape functional. The asymptotic analysis is applied in order to determine the topological derivative of shape functionals for elliptic problems. …”
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Performance of a Free-Space-Optical Relay-Assisted Hybrid RF/FSO System in Generalized <inline-formula> <tex-math notation="LaTeX">$M$</tex-math></inline-formula>-Distributed Chann... by Lei Kong, Wei Xu, Lajos Hanzo, Hua Zhang, Chunming Zhao

“…It is observed from the asymptotic analysis that the ASERs of all the modulation schemes are dominated by the average SNR of the RF link in the hybrid relaying system using a fixed relay gain, whereas in the relaying system using a dynamic channel-dependent relay gain, the ASERs of all the modulation schemes depend both on the average SNR and the AT condition of the FSO path. …”
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Consistency of Probability Measure Quantization by Means of Power Repulsion–Attraction Potentials by Fornasier, Massimo, Huetter, Jan-Christian Klaus

“…As a byproduct of the Fourier representation, we also obtain compactness of sublevels of the target energy in terms of uniform moment bounds, which already found applications in the asymptotic analysis of corresponding gradient flows. To model situations where the given probability is affected by noise, we further consider a modified energy, with the addition of a regularizing total variation term and we investigate again its point mass approximations in terms of Γ-convergence. …”
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Optimal testing for properties of distributions by Acharya, Jayadev, Daskalakis, Konstantinos, Kamath, Gautam Chetan

“…This fundamental question has received tremendous attention in statistics, focusing primarily on asymptotic analysis, as well as in information theory and theoretical computer science, where the emphasis has been on small sample size and computational complexity. …”
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Inhomogeneous exponential jump model by Borodin, Alexei, Petrov, Leonid

“…Our results on fluctuations are obtained via an asymptotic analysis of Fredholm determinantal formulas arising from contour integral expressions for the q-moments in the stochastic higher spin six vertex model. …”
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Steady accretion of an elastic body on a hard spherical surface and the notion of a four-dimensional reference space by Tomassetti, Giuseppe, Cohen, Tal, Abeyaratne, Rohan

“…Moreover, by an asymptotic analysis we show that for small beads the thickness of the solid is proportional to the radius of the support and is strongly affected by the stiffness of the solid, whereas for large beads the stiffness of the solid is essentially irrelevant, the thickness being proportional to a characteristic length that depends on the parameters that govern diffusion and accretion kinetics.…”
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Deep learning: a statistical viewpoint by Bartlett, Peter L, Montanari, Andrea, Rakhlin, Alexander

“…In this regime, we demonstrate the success of gradient flow, and we consider benign overfitting with two-layer networks, giving an exact asymptotic analysis that precisely demonstrates the impact of overparametrization. …”
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Diffuse-charge effects on the transient response of electrochemical cells by van Soestbergen, M., Biesheuvel, P. M., Bazant, Martin Z.

“…In practical situations, diffuse charge is confined to thin diffuse layers (DLs), which poses numerical difficulties for the full model but allows simplification by asymptotic analysis. For a thin quasi-equilibrium DL, we derive effective boundary conditions on the quasi-neutral bulk electrolyte at the diffusion time scale, valid up to the transition time, where the bulk concentration vanishes due to diffusion limitation. …”
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A regularization framework for active learning from imbalanced data by Paskov, Hristo Spassimirov

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Radiation of VLF/ELF waves from a magnetospheric tether by De Soria-Santacruz Pich, Maria

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Convergence of non-convex non-concave GANs using sinkhorn divergence by Adnan, Risman, Saputra, Muchlisin Adi, Fadlil, Junaidillah, Ezerman, Martianus Frederic, Iqbal, Muhamad, Basaruddin, Tjan

“…Using the structural similarity index measure (SSIM), we supply a non-asymptotic analysis of the algorithm's convergence rate. …”
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Mathematical modelling of silicon furnaces by Sloman, B

“…</p> <p>Next, we undertake an asymptotic analysis of this model, to identify the dominant chemical and thermal behaviour within the pilot furnace. …”

Modern methods of mathematical modeling of blood flow using reduced order methods by Sergey Sergeevich Simakov

“…The 1D models may be derived from the 3D Navier - Stokes equations either by asymptotic analysis or by integrating them over a volume. …”
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Unsteady incompressible laminar boundary layer: time and space variable molecular viscosity by Pavlo Lukianov, Lin Song

“…As a result, as before for the steady case, solutions describing both non-gradient and gradient flows of incompressible fluid in the boundary layer are obtained. The asymptotic analysis of the transition to steady flow testifies the consistency of these solutions. …”
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Wireless-Powered Full-Duplex UAV Relay Networks Over FTR Channels by Daniel De Paiva Mucin, Diana Pamela Moya Osorio, Edgar Eduardo Benitez Olivo

“…To characterize the system outage probability, we obtain an integral-form expression derived from an approximate analysis and a simple closed-form expression derived from an asymptotic analysis at the high signal-to-noise ratio (SNR) regime. …”
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Age of Information in CSMA-Based Networks With Bursty Update Traffic by Andrea Baiocchi, Ion Turcanu, Alexey Vinel

“…We develop an accurate and efficient analytical model of nodes exchanging one-hop broadcast update messages with bursty arrivals to evaluate the moments as well as entire probability distribution of several performance metrics, including AoI. An asymptotic analysis for large networks suggests a simple way to control the update message rate to minimize the AoI. …”
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Effect of Correlation on BER Performance of the FSO-MISO System With Repetition Coding Over Gamma–Gamma Turbulence by Richa Priyadarshani, Manav R. Bhatnagar, Zabih Ghassemlooy, Stanislav Zvanovec

“…Using the joint moment generating function of received signal-to-noise ratio (SNR), a novel generalized approximate BER expression is derived, followed by convergence test of the power series based BER expression using the Cauchy&#x0027;s ratio test. Then, an asymptotic analysis at high SNR is performed to obtain a novel closed-form expression for BER of FSO-MISO system. …”
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Planar undulator motion excited by a fixed traveling wave: Quasiperiodic averaging, normal forms, and the free electron laser pendulum by James A. Ellison, Klaus Heinemann, Mathias Vogt, Matthew Gooden

“…By scalings and transformations the 6D system is reduced, without approximation, to a 2D system in a form for a rigorous asymptotic analysis using the method of averaging (MoA), a long-time perturbation theory. …”
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Equilibrium internal fractures in elastic bodies supported by thin flexible coatings by B. V. Sobol, E. V. Rashidova, P. V. Vasiliev, A. I. Novikova

“…Both problems are united by a single approach, in which the presence of a coating is modeled mathematically, using special marginal conditions obtained based on an asymptotic analysis of the exact solution for a strip or ring flexible coating of small relative thickness. …”
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