We present a brief survey of existing mistake bounds and introduce novel bounds for the Perceptron or the kernel Perceptron algorithm. Our novel bounds generalize beyond standard margin-loss type bounds, allow for any convex and Lipschitz loss function, and admit a very simple proof.

On April 10 economist John R. Lott, Jr., formerly of the American Enterprise Institute, filed a defamation lawsuit against economist Steven D. Levitt of the University of Chicago and HarperCollins, the publisher of Levitt's 2005 book, Freakonomics. At issue is what Levitt meant when he wrote that scholars could not "replicate" Lott's results, referring to Lott's 1998 book, More Guns, Less Crime...

Study and practice of medical virtual acupuncture training simulation system has great significance and practical application value on accurate positioning of human acupuncture points, simulation of acupuncture treatment, evaluation of the acupuncturists’ skill, and reduction of acupuncturists’ mistake. By using mathematical physical modeling, we propose a skin model based on triangular mesh fo...

In this paper one solution for teaching skills to solve n-power algebraic equation by Lobachevsky-GreffeDandelen method is described. Student’s mistakes are discovered and classified. Based on signal-parametric approach to fault diagnosis in dynamic systems mathematical diagnostic models which allow detecting mistake classes by comparing student calculated results and system calculated results ...

An analysis of construction was conducted in this study, and the guidelines for designing roller mills used commonly agri-food, chemical, power industries were presented. Quick machines required existence adequate mathematical models. Within framework study’s realization, a model developed we presented selected results calculations milling rollers loading from assembly’s mill bowl. The simulati...