Machine Learning, Support Vector Machine, Optimization, Data Science, Technology.
x_n . You need to figure out what the slack, ξ_n , would have been. There are two cases. Either w · x_n + b is at least 1 or it is not. If it’s large enough, then you want to set ξ_n = 0. Why? It cannot be less than zero by the second constraint. Moreover, if you set it greater than zero, you will