• Non-Convex Optimization: RMSProp Based Optimization for Long Short-Term Memory Network

      Andriamanalimanana, Bruno; Yan, Jianzhi; Andriamanalimanana, Bruno; First Reader; Chiang, Chen-Fu; Second Reader; Novillo, Jorge; Third Reader (SUNY Polytechnic Institute, 2020-05-09)
      This project would give a comprehensive picture of non-convex optimization for deep learning, explain in details about Long Short-Term Memory (LSTM) and RMSProp. We start by illustrating the internal mechanisms of LSTM, like the network structure and backpropagation through time (BPTT). Then introducing RMSProp optimization, some relevant mathematical theorems and proofs in those sections, which give a clear picture of how RMSProp algorithm is helpful to escape the saddle point. After all the above, we apply it with LSTM with RMSProp for the experiment; the result would present the efficiency and accuracy, especially how our method beat traditional strategy in non-convex optimization.