Gradient Consistency for Integral-convolution Smoothing Functions

  title={Gradient Consistency for Integral-convolution Smoothing Functions},
  author={Tim Hoheisel},
Chen and Mangasarian (1995) developed smoothing approximations to the plus function built on integral-convolution with density functions. X. Chen (2012) has recently picked up this idea constructing a large class of smoothing functions for nonsmooth minimization through composition with smooth mappings. In this paper, we generalize this idea by substituting the plus function for an arbitrary finite max-function. Calculus rules such as inner and outer composition with smooth mappings are… CONTINUE READING

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