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math.AP2016
A Convex Decomposition Formula for the Mumford-Shah Functional in Dimension One
Marcello Carioni
We study the convex lift of Mumford-Shah type functionals in the space of rectifiable currents and we prove a generalized coarea formula in dimension one, for finite linear combina…
cs.LG2016★ 41 cited
Loss factorization, weakly supervised learning and label noise robustness
Giorgio Patrini, Frank Nielsen, Richard Nock +1
We prove that the empirical risk of most well-known loss functions factors into a linear term aggregating all labels with a term that is label free, and can further be expressed by…