Page 167 - Understanding Machine Learning
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13.7 Exercises  149


                     It can be shown (see, for example, Shalev-Shwartz (2007)) that the function
                                                       1      2
                                              R(w) =        w  q
                                                    2(q − 1)
                                                                      log(d)
                     is 1-strongly convex with respect to  w  q . Show that if q =  then R(w)is
                                                                     log(d)−1

                        1                                              d
                      3log(d)  -strongly convex with respect to the   1 norm over R .
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