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Convexity of the Proximal Average

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Title: Convexity of the Proximal Average
Author: Johnstone, Jennifer
Issue Date: 2008
Publicly Available in cIRcle 2010-07-30
Series/Report no. University of British Columbia, Okanagan campus, Computer Science Undergraduate Honours Essays
Abstract: The proximal average operator is recognized for its ability to transform two convex functions into another convex function. However, we prove with examples that the proximal average operator does have limitations, with respect to convexity. We also look at the importance of [0; 1] and describe an idea of how to plot the proximal average of two convex functions more efficiently.
Affiliation: Psychology and Computer Science (PSCS) (IKBSAS) (Okanagan)
URI: http://hdl.handle.net/2429/27048
Peer Review Status: Unreviewed

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