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Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.10.038
Abstract: Abstract In this paper, by virtue of Malliavin calculus, we establish a relationship between backward doubly stochastic differential equations with random coefficients and quasilinear stochastic PDEs, and thus extend the well-known nonlinear stochastic Feynman–Kac formula…
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Keywords:
stochastic differential;
doubly stochastic;
random coefficients;
backward doubly ... See more keywords
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Published in 2018 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.10.005
Abstract: Abstract This article presents a technique for combining two doubly stochastic matrices with known spectra to create a new matrix. As application of this, we obtain a recursive method for constructing doubly stochastic matrices for…
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Keywords:
constructing doubly;
doubly stochastic;
method constructing;
stochastic matrices ... See more keywords
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Published in 2019 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2019.01.017
Abstract: Abstract The real (resp. symmetric) doubly stochastic inverse spectral problem is the problem of determining necessary and sufficient conditions for a real n-tuple λ = ( 1 , λ 2 , . . . ,…
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Keywords:
doubly stochastic;
spectral problem;
problem;
real inverse ... See more keywords
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Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5093278
Abstract: In this paper, we introduce the quasidoubly stochastic operator, which is between doubly stochastic operators and column stochastic operators, so as to apply to characterized operator S on l1 such that Sf is majorized by…
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Keywords:
doubly stochastic;
stochastic operator;
physics;
quasi doubly ... See more keywords
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Published in 2020 at "International Journal of Control"
DOI: 10.1080/00207179.2018.1502473
Abstract: ABSTRACT In this paper, we introduce a new class of backward doubly stochastic differential equations (in short BDSDE) called mean-field backward doubly stochastic differential equations (in short MFBDSDE) driven by Itô-Lévy processes and study the…
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Keywords:
backward doubly;
driven processes;
mean field;
doubly stochastic ... See more keywords
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Published in 2020 at "Experimental Mathematics"
DOI: 10.1080/10586458.2020.1727799
Abstract: The problem of determining $DS_n$, the complex numbers that occur as an eigenvalue of an $n$-by-$n$ doubly stochastic matrix, has been a target of study for some time. The Perfect-Mirsky region, $PM_n$, is contained in…
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Keywords:
problem computational;
single eigenvalue;
doubly stochastic;
problem ... See more keywords
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Published in 2022 at "Inverse Problems"
DOI: 10.1088/1361-6420/acd273
Abstract: We study the inverse eigenvalue problem for finding doubly stochastic matrices with specified eigenvalues. By making use of a combination of Dykstra’s algorithm and an alternating projection process onto a non-convex set, we derive hybrid…
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Keywords:
construction doubly;
stochastic matrices;
numerical construction;
doubly stochastic ... See more keywords
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Published in 2018 at "IEEE Transactions on Neural Networks and Learning Systems"
DOI: 10.1109/tnnls.2017.2688499
Abstract: Deep generative models (DGMs), which are often organized in a hierarchical manner, provide a principled framework of capturing the underlying causal factors of data. Recent work on DGMs focussed on the development of efficient and…
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Keywords:
doubly stochastic;
mcmc;
gradient mcmc;
generative models ... See more keywords
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Published in 2018 at "Mathematical Notes"
DOI: 10.1134/s0001434618010376
Abstract: Author Information Reprint Address: Saburov, M (reprint author) Int Islamic Univ Malaysia, Kuantan, Malaysia. Organization-Enhanced Name(s) International Islamic University Malaysia Reprint Address: Saburov, M (reprint author) Amer Univ Middle East, Coll Engn & Technol, Egaila,…
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Keywords:
positive quadratic;
doubly stochastic;
malaysia;
quadratic doubly ... See more keywords
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Published in 2020 at "Random Operators and Stochastic Equations"
DOI: 10.1515/rose-2020-2026
Abstract: Abstract In this work, we prove some comparison theorems of anticipated backward doubly stochastic differential equations with non-Lipschitz coefficients.
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Keywords:
anticipated backward;
doubly stochastic;
backward doubly;
stochastic differential ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14010114
Abstract: In this paper, we explore a new class of stochastic differential equations called anticipated generalized backward doubly stochastic differential equations (AGBDSDEs), which not only involve two symmetric integrals related to two independent Brownian motions and…
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Keywords:
backward doubly;
doubly stochastic;
stochastic differential;
generalized backward ... See more keywords