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Explores Stochastic Gradient Descent and Mean Field Analysis in two-layer neural networks, emphasizing their iterative processes and mathematical foundations.
Delves into Topological Data Analysis, emphasizing the mathematical foundations of neural networks and exploring the manifold hypothesis and persistent homology.
Explores maximal correlation in information theory, mutual information properties, Renyi's measures, and mathematical foundations of information theory.
Emphasizes the role of individual and collective actions in achieving sustainability through the Sustainable Development Goals and the successes of the Millennium Development Goals.
