3 citations · 14 across the 37 of their papers we have counts for
20 papers · 1 filter
On characterizing optimal learning trajectories in a class of learning problems
Getachew K Befekadu
In this brief paper, we provide a mathematical framework that exploits the relationship between the maximum principle and dynamic programming for characterizing optimal learning tr…
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…
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…
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…
A new perspective on the learning dynamics for a class of learning problems via averaged gradient systems coupled with diffusion-transmutation processes
Getachew K. Befekadu
In the first part of this paper, we consider a family of continuous-time dynamical systems coupled with diffusion-transmutation processes. Under certain conditions, such randomly p…
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,…
On the rare-event simulations of diffusion processes pertaining to a chain of distributed systems with small random perturbations
Getachew K. Befekadu
In this paper, we consider an importance sampling problem for a certain rare-event simulations involving the behavior of a diffusion process pertaining to a chain of distributed sy…
On Goal-Oriented Multiobjective Embedded Optimization for System Performance Assessment
Getachew K Befekadu
In this short note, we discuss a goal-oriented multiobjective optimization problem for system performance assessment. The objective function for such optimization problem, which is…
Optimal residence time control for stochastically perturbed prescription opioid epidemic models
Getachew K. Befekadu
In this paper, we consider an optimal control problem for a prescription opioid epidemic model that describes the interaction between the regular prescription or addictive use of o…
Optimal control of diffusion processes pertaining to an opioid epidemic dynamical model with random perturbations
Getachew K. Befekadu, Quanyan Zhu
In this paper, we consider the problem of controlling a diffusion process pertaining to an opioid epidemic dynamical model with random perturbation so as to prevent it from leaving…
A further study on the opioid epidemic dynamical model with random perturbation
Getachew K. Befekadu, Quanyan Zhu
In this paper, we consider an opioid epidemic dynamical model with random perturbation that typically describes the interplay between regular prescription use, addictive use, and t…
On the stochastic decision problems with backward stochastic viability property
Getachew K. Befekadu
In this paper, we consider a stochastic decision problem for a system governed by a stochastic differential equation, in which an optimal decision is made in such a way to minimize…
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…
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.,…
On the hierarchical risk-averse control problems for diffusion processes
Getachew K. Befekadu, Alexander Veremyev, Eduardo L. Pasiliao
In this paper, we consider a risk-averse control problem for diffusion processes, in which there is a partition of the admissible control strategy into two decision-making groups (…
Remarks on the hierarchical control problems with model uncertainty
Getachew K. Befekadu, Eduardo L. Pasiliao
In this paper, we consider a hierarchical control problem with model uncertainty. Specifically, we consider the following objectives that we would like to accomplish. The first one…
On the attainable distributions of controlled-diffusion processes pertaining to a chain of distributed systems
Getachew K. Befekadu, Eduardo L. Pasiliao
We consider a controlled-diffusion process pertaining to a chain of distributed systems with random perturbations that satisfies a weak Hörmander type condition. In particular, we…
On the hierarchical optimal control of a chain of distributed systems
Getachew K. Befekadu, Eduardo L. Pasiliao
In this paper, we consider a chain of distributed systems governed by a degenerate parabolic equation, which satisfies a weak Hörmander type condition, with a control distributed o…
On the risk-sensitive escape control for diffusion processes pertaining to an expanding construction of distributed control systems
Getachew K. Befekadu, Panos J. Antsaklis
In this paper, we consider an expanding construction of a distributed control system, which is obtained by adding a new subsystem one after the other, until all subsystems, whe…
On noncooperative -player principal eigenvalue games
Getachew K. Befekadu, Panos J. Antsaklis
We consider a noncooperative -player principal eigenvalue game which is associated with an infinitesimal generator of a stochastically perturbed multi-channel dynamical system -…