Elements of the Bregman family of loss functions, denoted \(B(y, \hat{y})\), take the form:$$B(y, \hat{y}) = \phi(y) - \phi(\hat{y}) - \phi'(\hat{y}) (y-\hat{y})$$ where \(\phi: \mathcal{Y} \rightarrow R\) is any strictly convex function, and \(\mathca...