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Bandit Algorithm Driven by a Classical Random Walk and a Quantum Walk [PDF]
Quantum walks (QWs) have a property that classical random walks (RWs) do not possess—the coexistence of linear spreading and localization—and this property is utilized to implement various kinds of applications.
Tomoki Yamagami +5 more
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Recurrence of the plane Elephant random walk [PDF]
We give a short proof of the recurrence of the two-dimensional elephant random walk in the diffusive regime. This was recently established by Qin (2023), but our proof mainly uses very rough comparison with the standard plane random walk.
Curien, Nicolas, Laulin, Lucile
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Random Walk on T-Fractal with Stochastic Resetting [PDF]
In this study, we explore the impact of stochastic resetting on the dynamics of random walks on a T-fractal network. By employing the generating function technique, we establish a recursive relation between the generating function of the first passage ...
Xiaohan Sun +3 more
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Normal Variance Mixture with Arcsine Law of an Interpolating Walk Between Persistent Random Walk and Quantum Walk [PDF]
We propose a model that interpolates between quantum walks and persistent (correlated) random walks using one parameter on the one-dimensional lattice. We show that the limit distribution is described by the normal variance mixture with the arcsine law.
Saori Yoshino +4 more
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Transferring principles of solid-state and Laplace NMR to the field of in vivo brain MRI [PDF]
Magnetic resonance imaging (MRI) is the primary method for noninvasive investigations of the human brain in health, disease, and development but yields data that are difficult to interpret whenever the millimeter-scale voxels contain multiple microscopic
J. P. de Almeida Martins +10 more
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Matrix moments of the diffusion tensor distribution and matrix-variate Gamma approximation
Diffusion MRI allows for the non-invasive investigation of the microscopic architecture of biological tissues in vivo. While being sensitive to microstructural tissue changes, diffusion MRI yields poor specificity regarding the cause of these changes ...
Alexis Reymbaut
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P2 random walk: self-supervised anomaly detection with pixel-point random walk
In the domain of intelligent manufacturing, automatic anomaly detection plays a pivotal role and holds great significance for improving production efficiency and product quality.
Liujie Hua, Qianqian Qi, Jun Long
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Directivity of Quantum Walk via Its Random Walk Replica
Quantum walks (QWs) exhibit different properties compared with classical random walks (RWs), most notably by linear spreading and localization. In the meantime, random walks that replicate quantum walks, which we refer to as quantum-walk-replicating ...
Tomoki Yamagami +5 more
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Application of random walk to model temperature in 60 African cities for the 20th century [PDF]
The 20th century is marked with climate change led by global warming. So far, many models have been applied to analyze the temperature change. However, a simple but interesting model, a random walk is hardly used in his regard.
Yan Shaomin, Wu Guang
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As one of the most polluted U.S. cities, Fairbanks was reclassified as a “serious” nonattainment area by the Environmental Protection Agency (EPA) in 2017 for its fine particulate matter (PM2.5) pollution.
Lexuan Ye, Yungang Wang
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