Echoes of Socratic Doubt: Embracing Uncertainty in Calibrated Evidential Reinforcement Learning

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Main Authors: Stutts, Alex Christopher, Erricolo, Danilo, Tulabandhula, Theja, Trivedi, Amit Ranjan
Format: Preprint
Published: 2024
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author Stutts, Alex Christopher
Erricolo, Danilo
Tulabandhula, Theja
Trivedi, Amit Ranjan
author_facet Stutts, Alex Christopher
Erricolo, Danilo
Tulabandhula, Theja
Trivedi, Amit Ranjan
contents We present a novel statistical approach to incorporating uncertainty awareness in model-free distributional reinforcement learning involving quantile regression-based deep Q networks. The proposed algorithm, $\textit{Calibrated Evidential Quantile Regression in Deep Q Networks (CEQR-DQN)}$, aims to address key challenges associated with separately estimating aleatoric and epistemic uncertainty in stochastic environments. It combines deep evidential learning with quantile calibration based on principles of conformal inference to provide explicit, sample-free computations of $\textit{global}$ uncertainty as opposed to $\textit{local}$ estimates based on simple variance, overcoming limitations of traditional methods in computational and statistical efficiency and handling of out-of-distribution (OOD) observations. Tested on a suite of miniaturized Atari games (i.e., MinAtar), CEQR-DQN is shown to surpass similar existing frameworks in scores and learning speed. Its ability to rigorously evaluate uncertainty improves exploration strategies and can serve as a blueprint for other algorithms requiring uncertainty awareness.
format Preprint
id arxiv_https___arxiv_org_abs_2402_07107
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Echoes of Socratic Doubt: Embracing Uncertainty in Calibrated Evidential Reinforcement Learning
Stutts, Alex Christopher
Erricolo, Danilo
Tulabandhula, Theja
Trivedi, Amit Ranjan
Machine Learning
Artificial Intelligence
We present a novel statistical approach to incorporating uncertainty awareness in model-free distributional reinforcement learning involving quantile regression-based deep Q networks. The proposed algorithm, $\textit{Calibrated Evidential Quantile Regression in Deep Q Networks (CEQR-DQN)}$, aims to address key challenges associated with separately estimating aleatoric and epistemic uncertainty in stochastic environments. It combines deep evidential learning with quantile calibration based on principles of conformal inference to provide explicit, sample-free computations of $\textit{global}$ uncertainty as opposed to $\textit{local}$ estimates based on simple variance, overcoming limitations of traditional methods in computational and statistical efficiency and handling of out-of-distribution (OOD) observations. Tested on a suite of miniaturized Atari games (i.e., MinAtar), CEQR-DQN is shown to surpass similar existing frameworks in scores and learning speed. Its ability to rigorously evaluate uncertainty improves exploration strategies and can serve as a blueprint for other algorithms requiring uncertainty awareness.
title Echoes of Socratic Doubt: Embracing Uncertainty in Calibrated Evidential Reinforcement Learning
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2402.07107