Partitioning the Sample Space for a More Precise Shannon Entropy Estimation

arXiv — cs.LGFriday, December 12, 2025 at 5:00:00 AM
  • A new study has introduced a discrete entropy estimator aimed at improving the reliability of Shannon entropy estimation from small data sets, addressing the challenge of having fewer examples than possible outcomes. The method leverages the decomposability property alongside estimations of missing mass and unseen outcomes to mitigate negative bias. Experimental results indicate that this approach outperforms classical estimators in undersampled scenarios.
  • This development is significant as it enhances the accuracy of entropy estimation, which is crucial in various applications such as information theory, machine learning, and data analysis. By providing a more reliable method for estimating Shannon entropy, researchers and practitioners can better understand and model complex systems with limited data.
  • The introduction of this estimator aligns with ongoing efforts in the field of artificial intelligence to refine statistical methods for data analysis. It reflects a broader trend towards developing robust algorithms that can handle sparse data effectively, as seen in other recent advancements in entropy maximization and density ratio estimation, which also aim to improve performance in challenging data environments.
— via World Pulse Now AI Editorial System

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