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Inertial Entropy and External Validation of Clusterings

Journal of Harbin Institute of Technology(New series) 2024年

作者： dan simovici Joshua Yee Computer Science Deptartment University of Massachusetts Boston

Axiomatization of Shannon entropy is a subject that has received lots of attention in the information theory literature. While Shannon entropy is defined on probability distribution we define a new type of entropy on the set of partitions of finite subsets of metric spaces， which has a rich algebraic structure as a partially ordered set. We propose an axiomatization of an entropy-like measure of partitions of sets of objects located in metric spaces， and we derive an analytic expression of this new type of entropy referred to as inertial entropy. This approach starts with the notion of inertia of a partition and includes a study of the behavior of the sum of square errors of a partition. In this context， we characterize the chain of partitions produced by the Ward hierarchical clustering *** from inertial entropies of partitions， we introduce conditional entropies which， in turn， generate metrics on partitions of finite sets. These metrics are used as external validation tools for clusterings of labeled data *** metric generated by inertial entropy can be used to validate data clustering for labeled data sets. This type of validation aims to determine to what extend labeling of the data coincides with the clustering obtained algorithmically， and we obtain a high degree of consistency of the data labeling with the results of several hierarchical clusterings.

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Using Singular Value Decomposition to Investigate Degraded Chinese Character Recognition:Evidence from Eye Movements During Reading

Using Singular Value Decomposition to Investigate Degraded C...

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第五届中国国际眼动大会

作者： Hsueh-Cheng Wang Elizabeth R.Schotter Bernhard Angele Jinmian Yang dan simovici Marc Pomplun Keith Rayner Department of Computer Science University of Massachusetts at Boston Department of Psychology University of California

＜正＞Previous research on reading Chinese indicates that removing strokes from characters makes them hard to *** character-initial strokes is more disruptive than removing character-final or character-internal strokes（Yan et al.,2012）.The present study decomposed Chinese characters into segments（vertical,horizontal,and diagonal lines）and

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