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The complete canonical piecewise-linear representation: functional form for minimal degenerate intersections

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1 Author(s)
Julian, P. ; Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, CA, USA

In this paper, we develop a functional form for canonical piecewise-linear (CPWL) functions defined over a minimal degenerate intersection of order k. This type of intersection is known to be the building block of CPWL representations. Accordingly, the representation proposed is the main component in a general CPWL representation and constitutes the first functional form that is valid in a domain that has arbitrary dimension and is subdivided by a generic partition.

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:50 ,  Issue: 3 )