MUSCLE MRI SEGMENTATION USING RANDOM WALKER METHOD by A. V. Shukelovich, E. V. Snezhko, V. A. Kovalev, A. V. Tuzikov

“…A technique of marker set construction for muscle MRI segmentation using random walker approach is introduced. The possibility of clinician’s manual labor amount reduction and random walker algorithm optimization is studied.…”
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Nonlinear random operator equations and inequalities in Banach spaces by Antonios Karamolegos, Dimitrios Kravvaritis

Subjects: “…random equations and inequalities…”
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Width evolution of channel belts as a random walk by J. M. Turowski, J. M. Turowski, F. McNab, A. Bufe, A. Bufe, S. Tofelde

“…As such, the lateral migration of the channel can be viewed as a nonstandard one-dimensional random walk. In other words, at each river cross section the river randomly moves either to the left or right at a given time. …”
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The Exact Distribution of the Condition Number of Complex Random Matrices by Lin Shi, Taibin Gan, Hong Zhu, Xianming Gu

“…Let Gm×n (m≥n) be a complex random matrix and W=Gm×nHGm×n which is the complex Wishart matrix. …”
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Portfolio Optimization and Random Matrix Theory in Stock Exchange by mostafa heidari haratemeh

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Random 2D Composites and the Generalized Method of Schwarz by Vladimir Mityushev

“…Two-phase composites with nonoverlapping inclusions randomly embedded in matrix are investigated. A straightforward approach is applied to estimate the effective properties of random 2D composites. …”
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Effects of Antimodularity and Multiscale Influence in Random Boolean Networks by Luis A. Escobar, Hyobin Kim, Carlos Gershenson

“…We investigate the effects of modularity, antimodularity, and multiscale influence on random Boolean networks (RBNs). On the one hand, we produced modular, antimodular, and standard RBNs and compared them to identify how antimodularity affects the dynamical behaviors of RBNs. …”
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WEIERSTRASS APPROXIMATION THEOREM VIA RANDOM-SUM APPROACH by Trần Lộc Hùng

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Generalized Fractional Integral Inequalities for Continuous Random Variables by Abdullah Akkurt, Zeynep Kaçar, Hüseyin Yildirim

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Level crossings and turning points of random hyperbolic polynomials by K. Farahmand, P. Hannigan

“…In this paper, we show that the asymptotic estimate for the expected number of K-level crossings of a random hyperbolic polynomial a1sinhx+a2sinh2x+⋯+ansinhnx, where aj(j=1,2,…,n) are independent normally distributed random variables with mean zero and variance one, is (1/π)logn. …”
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Maximizing Banking Profit on a Random Time Interval by J. Mukuddem-Petersen, M. A. Petersen, I. M. Schoeman, B. A. Tau

“…A solution to the aforementioned problem enables us to maximize the expected utility of discounted depository consumption over a random time interval, [t,τ], and profit at terminal time τ. …”
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Random Attractors for Stochastic Retarded Lattice Dynamical Systems by Xiaoquan Ding, Jifa Jiang

“…We extend the method of tail estimates to stochastic retarded lattice dynamical systems and prove the existence of a compact global random attractor within the set of tempered random bounded sets.…”
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Zeros of an algebraic polynomial with nonequal means random coefficients by K. Farahmand, P. Flood

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The Dynamic Spread of the Forward CDS with General Random Loss by Kun Tian, Dewen Xiong, Zhongxing Ye

“…We assume that the filtration F is generated by a d-dimensional Brownian motion W=(W1,…,Wd)′ as well as an integer-valued random measure μ(du,dy). The random variable τ~ is the default time and L is the default loss. …”
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Analysis of Investment Returns as Markov Chain Random Walk by Felix Okoe Mettle, Emmanuel Kojo Aidoo, Carlos Oko Narku Dowuona, Louis Agyekum

“…To this effect, a Markov chain random walk model was successfully developed and implemented on 450 monthly market returns data spanning from January 1976 to December 2020 for Canada, India, Mexico, South Africa, and Switzerland obtained from the Federal Reserves of the Bank of St. …”
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Not as random: the stable dynamics controlling shallow convective clouds by Ilan Koren, Tom Dror, Elizabeth-Ruth Shehter, Orit Altaratz

“…The formation mechanism of these clouds is associated with random, local perturbations that create buoyant parcels. …”
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The effect of random scale changes on limits of infinitesimal systems by Patrick L. Brockett

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Reliability and Random Lifetime Models of Planetary Gear Systems by Peng Gao, Liyang Xie, Wei Hu

“…The load parameters, the geometric parameters, and the material parameters are taken as the inputs of the reliability models and the random lifetime models. Moreover, failure dependence and dynamic random load redistributions are taken into account in the models. …”
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Optimizing Circuit Reusing and its Application in Randomized Benchmarking by Zhuo Chen, Guoding Liu, Xiongfeng Ma

“…Quantum learning tasks often leverage randomly sampled quantum circuits to characterize unknown systems. …”
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The asymptotic of the distribution of the maxima of the nonidentically distributed random variables by Arvydas Jokimaitis

“… In this paper the nonuniform estimate for the distribution of the maxima of the nonidentically distributed independent random variables is obtained. …”
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