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Nonetheless, in terms of stochastic analysis, they show insufficient progress.
Previous attempts to model eye movements have been mainly devoted to describe the sequence of fixations and saccades in terms of stochastic processes23 like regular random walks24.
In this paper, the randomness of the load powers is addressed in terms of stochastic processes.
Homogeneity is defined in terms of stochastic bisimulation and reward equivalence within blocks of a partition.
Moreover, the convergence properties of dropout can be understood in terms of stochastic gradient descent.
Her methods for characterizing interactions in cellular signaling networks, published in a recent Science paper, reveal the computation performed by cells as they process signals in terms of stochastic response functions.
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Ultimately, this yields a stochastic neural field model in terms of a stochastic evolution equation conceptually analogous to the Chemical Langevin Equation.
It utilizes high-dimensional model representation (HDMR) technique in the stochastic space to represent the model output as a finite hierarchical correlated function expansion in terms of the stochastic inputs starting from lower-order to higher-order component functions.
So far we have studied the emergence of beyond-pairwise correlations in two spiking neuron models the EIF model, described in terms of a stochastic differential equation, and the LNL model, which is a continuous-time reduction of the EIF to a doubly stochastic point process.
Since the Radon-Nikodym derivative is computable in terms of a stochastic exponential of an SLTL solution, a remarkably high numerical accuracy is potentially achievable.
The problem of premixed turbulent combustion has been formulated in terms of a stochastic differential equation for a coarse-grained flame surface density (FSD).
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