Propose a strategy to address the issue of high-cost local minima in your deep learning model, considering its architecture and optimization algorithm.

Replace the ReLU activation function with a leaky ReLU or parametric ReLU, which can help mitigate the vanishing gradient problem. Additionally, consider using a more robust optimization algorithm, such as Adam or RMSProp, to better navigate the non-convex cost landscape. This will allow the model to converge towards the global minimum and avoid getting stuck in high-cost local minima.