Results 1 to 10 of about 100,624 (168)
Stochastic \({p}\)th Root Approximation of a Stochastic Matrix: A Riemannian Optimization Approach
SIAM Journal on Matrix Analysis and ApplicationsWe propose two approaches, based on Riemannian optimization, for computing a stochastic approximation of the $p$th root of a stochastic matrix $A$. In the first approach, the approximation is found in the Riemannian manifold of positive stochastic matrices.
Fabio Durastante, Beatrice Meini
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Row Stochastic Matrices and Linear Preservers of Matrix Majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$ [PDF]
Mathematics Interdisciplinary Research, 2023 A nonnegative square and real matrix $R$ is a row stochastic matrix if the sum of the entries of each row is equal to one. Let $x$, $y \in \mathbb{R}_{n}$.
Ahmad Mohammadhasani +2 more
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Mathematics, 2022 The resource network is a non-linear threshold model where vertices exchange resource in infinite discrete time. The model is represented by a directed weighted graph.
Liudmila Zhilyakova +2 more
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Stochastic Conditioning of Matrix Functions [PDF]
SIAM/ASA Journal on Uncertainty Quantification, 2014 We investigate the sensitivity of matrix functions to random noise in their input. We propose the notion of a stochastic condition number, which determines, to first order, the sensitivity of a matrix function to random noise. We derive an upper bound on the stochastic condition number that can be estimated efficiently by using “small-sample ...
Gratton, Serge, Titley-Peloquin, David
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Stochastic Matrix Product States [PDF]
Physical Review Letters, 2010 The concept of stochastic matrix product states is introduced and a natural form for the states is derived. This allows to define the analogue of Schmidt coefficients for steady states of non-equilibrium stochastic processes. We discuss a new measure for correlations which is analogous to the entanglement entropy, the entropy cost $S_C$, and show that ...
Kristan Temme, Frank Verstraete
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Matrix Analysis for Continuous-Time Markov Chains
Special Matrices, 2021 Continuous-time Markov chains have transition matrices that vary continuously in time. Classical theory of nonnegative matrices, M-matrices and matrix exponentials is used in the literature to study their dynamics, probability distributions and other ...
Le Hung V., Tsatsomeros M. J.
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INFORMATION TECHNOLOGY FOR STATISTICAL CLUSTER ANALYSIS OF INFORMATION IN COMPLEX NETWORKS
Компютерні системи та інформаційні технології, 2022 Information technology has been developed, which is used to collect, process and save large volumes of data from the web space. With the help of technology, the statistical characteristics of various segments of the web space and their cluster structure ...
OKSANA KYRYCHENKO
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Stochastic Matrix-Free Equilibration [PDF]
Journal of Optimization Theory and Applications, 2016 We present a novel method for approximately equilibrating a matrix $A \in {\bf R}^{m \times n}$ using only multiplication by $A$ and $A^T$. Our method is based on convex optimization and projected stochastic gradient descent, using an unbiased estimate of a gradient obtained by a randomized method.
Steven Diamond, Stephen P. Boyd
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Digital in-memory stochastic computing architecture for vector-matrix multiplication
Frontiers in Nanotechnology, 2023 The applications of the Artificial Intelligence are currently dominating the technology landscape. Meanwhile, the conventional Von Neumann architectures are struggling with the data-movement bottleneck to meet the ever-increasing performance demands of ...
Shady Agwa, Themis Prodromakis
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Synchronization of Fractional Stochastic Chaotic Systems via Mittag-Leffler Function
Fractal and Fractional, 2022 This paper is involved with synchronization of fractional order stochastic systems in finite dimensional space, and we have tested its time response and stochastic chaotic behaviors.
T. Sathiyaraj +2 more
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