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Generalized Subdifferentials of the Sign Change Counting Function

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Abstract

The counting function on binary values is extended to the signed case in order to count the number of transitions between contiguous locations. A generalized subdifferential for the sign change counting function is given where classical subdifferentials remain intractable. An attempt to prove global optimality at some point, for the 4-dimensional first non trivial example, is made by using a sufficient condition specially tailored among all the cases for this subdifferential.

Dates and versions

hal-00915606 , version 1 (09-12-2013)

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Dominique Fortin, Ider Tseveendorj. Generalized Subdifferentials of the Sign Change Counting Function. 2013. ⟨hal-00915606⟩
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