Jesús Fernández-Bes

h-index9
2papers
221citations

2 Papers

2.3SYFeb 2, 2025
An MDP Model for Censoring in Harvesting Sensors: Optimal and Approximated Solutions

Jesus Fernandez-Bes, Jesus Cid-Sueiro, Antonio G. Marques

In this paper, we propose a novel censoring policy for energy-efficient transmissions in energy-harvesting sensors. The problem is formulated as an infinite-horizon Markov Decision Process (MDP). The objective to be optimized is the expected sum of the importance (utility) of all transmitted messages. Assuming that such importance can be evaluated at the transmitting node, we show that, under certain conditions on the battery model, the optimal censoring policy is a threshold function on the importance value. Specifically, messages are transmitted only if their importance is above a threshold whose value depends on the battery level. Exploiting this property, we propose a model-based stochastic scheme that approximates the optimal solution, with less computational complexity and faster convergence speed than a conventional Q-learning algorithm. Numerical experiments in single-hop and multi-hop networks confirm the analytical advantages of the proposed scheme.

1.3MLSep 11, 2016
On the Relationship between Online Gaussian Process Regression and Kernel Least Mean Squares Algorithms

Steven Van Vaerenbergh, Jesus Fernandez-Bes, Víctor Elvira

We study the relationship between online Gaussian process (GP) regression and kernel least mean squares (KLMS) algorithms. While the latter have no capacity of storing the entire posterior distribution during online learning, we discover that their operation corresponds to the assumption of a fixed posterior covariance that follows a simple parametric model. Interestingly, several well-known KLMS algorithms correspond to specific cases of this model. The probabilistic perspective allows us to understand how each of them handles uncertainty, which could explain some of their performance differences.