One area of high impact both in theory and applications is kernel methods and support vector machines. Optimization problems, learning and representations of models are key ingredients in these methods. Considerable progress has also been made on regularization of parametric models, including methods for compressed sensing and sparsity where convex optimization plays a prominent role. The aim of ROKS2013 is to provide a multidisciplinary forum where researchers of different communities can meet, to find new synergies along these areas.