M-type smoothing splines are a broad class of spline estimators that include the popular least-squares but also less susceptible to outlying observations and model misspecification. However, available asymptotic theory only covers based on smooth objective functions consequently leaves out frequently used resistant such as quantile Huber-type splines. We provide general treatment in this paper ...

Much attention has been paid to evolutionary multi-objective optimization approaches efficiently solve real-world engineering problems with multiple conflicting objectives. However, the loss of selection pressure and non-uniformity in distribution Pareto optimal solutions objective space can impede both dominance-based decomposition-based optimizers when solving many-objective problems. In this...

this paper uses the weighted l$_1-$norm to propose an algorithm for finding a well-dispersed subset of non-dominated solutions of multiple objective mixed integer linear programming problem. when all variables are integer it finds the whole set of efficient solutions. in each iteration of the proposed method only a mixed integer linear programming problem is solved and its optimal solutions gen...

In a multi-objective optimization process, several goals are traditionally combined into single fitness function. such cases, the choice of objective function is critical, as it should accurately represent desired goals. Here, we introduce new class functions with non-linearity and switching behavior, also provide method for engineering. Notably, proposed versatile forms growth during optimizat...

The present report summarises the symposium 'Nutrition Transition and the Global Burden of Type 2 Diabetes' and a workshop on strategies for dietary interventions to prevent type 2 diabetes held by the Global Nutrition and Epidemiologic Transition Initiative, Boston, MA, USA in November 2011. The objectives of this event were to bring attention to the global epidemic of type 2 diabetes in light...