Why Sparse?

© Springer Nature Switzerland AG 2020. In many situations, a solution to a practical problem is sparse, i.e., corresponds to the case when most of the parameters describing the solution are zeros, and only a few attain non-zero values. This surprising empirical phenomenon helps solve the correspondi...

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Bibliographic Details
Main Authors: Thongchai Dumrongpokaphan, Olga Kosheleva, Vladik Kreinovich, Aleksandra Belina
Format: Book Series
Published: 2020
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85080891217&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/68344
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Institution: Chiang Mai University
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Summary:© Springer Nature Switzerland AG 2020. In many situations, a solution to a practical problem is sparse, i.e., corresponds to the case when most of the parameters describing the solution are zeros, and only a few attain non-zero values. This surprising empirical phenomenon helps solve the corresponding problems—but it remains unclear why this phenomenon happens. In this paper, we provide a possible theoretical explanation for this mysterious phenomenon.