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20142024
most citedExit Probabilities for a Chain of Distributed Control Systems with Small Random Perturbations

3 citations · 4 across the 8 of their papers we have counts for

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math.OC2024

On improving generalization in a class of learning problems with the method of small parameters for weakly-controlled optimal gradient systems

Getachew K. Befekadu

In this paper, we provide a mathematical framework for improving generalization in a class of learning problems which is related to point estimations for modeling of high-dimension…

math.OC2024

Further extensions on the successive approximation method for hierarchical optimal control problems and its application to learning

Getachew K. Befekadu

In this paper, further extensions of the result of the paper "A successive approximation method in functional spaces for hierarchical optimal control problems and its application t…

math.OC2024

A successive approximation method in functional spaces for hierarchical optimal control problems and its application to learning

Getachew K. Befekadu

We consider a class of learning problem of point estimation for modeling high-dimensional nonlinear functions, whose learning dynamics is guided by model training dataset, while th…

math.OC2024

Embedding generalization within the learning dynamics: An approach based-on sample path large deviation theory

Getachew K. Befekadu

We consider a typical learning problem of point estimations for modeling of nonlinear functions or dynamical systems in which generalization, i.e., verifying a given learned model,…

math.OC20161 cited

Acceptable risks and related decision problems with multiple risk-averse agents

Getachew K. Befekadu, Eduardo L. Pasiliao

In this paper, we consider a risk-averse decision problem for controlled-diffusion processes, with dynamic risk measures, in which multiple risk-averse agents choose their decision…

math.OC2016

On the dynamic consistency of hierarchical risk-averse decision problems

Getachew K. Befekadu, Eduardo L. Pasiliao

In this paper, we consider a risk-averse decision problem for controlled-diffusion processes, with dynamic risk measures, in which there are two risk-averse decision makers (i.e.,…