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Matrix Factorization and Stochastic State Representations
Proceedings of the 45th IEEE Conference on Decision and Control, 2006Given a two-point finite valued process, we consider the problem of finding an underlying two-point state process such that the output at a certain time instant is a probabilistic function of the state at the same time instant. This problem is related to the hidden Markov realization problem for finite valued processes.
Bart Vanluyten +2 more
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Time Change Representation of Stochastic Integrals
Theory of Probability & Its Applications, 2002Using the cumulant processes of semimartingales, the authors provide a new proof of a result of \textit{J. Jacod} and \textit{A. N. Shiryaev} [``Limit theorems for stochastic processes'' (1987; Zbl 0635.60021)], stating that any stochastic integral with respect to an \(\alpha\)-stable Lévy motion can be written as a time-changed \(\alpha\)-stable Lévy ...
Kallsen, Jan, Shiraev, A. N.
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Stochastic Video Generation with Disentangled Representations
2019 IEEE International Conference on Multimedia and Expo (ICME), 2019Frame-to-frame uncertainty is a major challenge in video prediction. The use of the deterministic models always leads to averaging of future states. Some methods draw samples from a prior at each time step to deal with the uncertainty of the future states, such as the SVG model [1].
Maomao Li +4 more
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A New Representation for Stochastic Integrals and Equations
SIAM Journal on Control, 1966zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stochastic Representation and Modeling
2017Stochastic methods are a crucial tool for the analysis of multivariate time series in contemporary climate and environmental research.
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Stochastic Transitivity and Quadratic Representation Functions
Journal of Mathematical Psychology, 1994Let \(L\) be the set of finite lotteries with outcomes in \([0,M]\). Let \(\gtrsim\) be a complete, transitive, continuous, monotone (first order stochastic dominance) and strict quasi-concave relation on \(L\). It is assumed that comparing two lotteries \(X\) and \(Y\) the real choice set is the set of compound lotteries \(\{(X,\alpha; Y,1-\alpha ...
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Integral Representations of Increments of Stochastic Processes
Meccanica, 2002Instead of writing equations for the differentials of stochastic processes, an alternative path is followed: The increment of a stochastic process is represented as an integral of the derivative of the process. The latter is shown to be compatible with the Itô rule for non-Gaussian processes.
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Strongly Continuous Semigroups and Stochastic Representation
Journal of the London Mathematical Society, 2002Second‐order elliptic operators realized under Dirichlet boundary conditions in bounded domains are shown to generate strongly continuous semigroups in the topology of uniform convergence. The stochastic representation and integral representation with kernel for the strongly continuous semigroups are given.
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Stochastic representation of FGM copulas using multivariate Bernoulli random variables
Computational Statistics and Data Analysis, 2022Christopher Blier-Wong +2 more
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