Optimal control problems with partial differential equations as constraints play an important role in many applications. The inclusion of bound constraints for the state variable poses a significant challenge for optimization methods. Our focus here is on the incorporation of the constraints via the Moreau-Yosida regularization technique. This method has been studied recently and has proven to ...

Reinforcement learning (RL) is a paradigm where an agent learns to accomplish tasks by interacting with the environment, similar how humans learn. RL therefore viewed as promising approach achieve artificial intelligence, evidenced remarkable empirical successes. However, many algorithms are theoretically not well-understood, especially in setting function approximation and off-policy sampling ...

background and aims: infectious bronchitis virus (ibv) is the etiological agent of infectious bronchitis (ib), which is an acute and highly contagious disease of the respiratory and sometimes the urogenital tracts of chickens. in iran, the disease has been identified in chicken flocks with serological and virus isolation methods. gene 3c (e) encode envelop (small membrane) protein. for envelope...

This paper proposes three enlargements of the conventional Moreau–Rockafellar subdifferential: sup-, sup⋆- and symmetric subdifferentials. They satisfy most fundamental properties convexity, weak∗-closedness and, if function is bounded, weak∗-compactness. Moreover, they are nonempty for Rainwater function, possess certain calculus rules, provide necessary sufficient optimality conditions not ne...