Solve each problem thoroughly, providing clear explanations and code where applicable.Submit your solutions electronically by the specified due date.Collaboration is permitted only within the guidelines provided by the instructor. Given a deep neural network model trained on a large dataset, improve its performance by implementing advanced optimization techniques. Experiment with different optimization algorithms such as Adam, RMSProp, and Nesterov Accelerated Gradient Descent. Compare their performance in terms of convergence speed and final accuracy using appropriate evaluation metrics. Design and implement a reinforcement learning agent to solve a complex task, such as playing a challenging video game or navigating a maze. Experiment with different algo