|The objective of this study is to measure the discrepancy between states and observations within the context of the Partially Observable Markov Decision Process (POMDP). The gap between states and observations is formulated as a State-Observation-Gap (SOG) problem, represented by the symbol Δ, where states and observations are treated as sets. The study also introduces the concept of Observation Confidence (OC) which serves as an indicator of the reliability of the observation, and it is established that there is a positive correlation between OC and Δ. To calculate the cumulative entropy λ of rewards in < ο,α, · >, we propose two weighting algorithms, namely Universal Weighting and Specific Weighting. Empirical and theoretical assessments carried out in the Cliff Walking environment attest to the effectiveness of both algorithms in determining Δ and OC.
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