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Explore the intricate relationship between deep learning and applied mathematics in this illuminating lecture. Delve into the revolutionary impact of deep learning across various fields, including computer perception, signal processing, natural language understanding, and process control. Discover how deep learning is being utilized to solve complex problems in cosmology, material science, high-energy physics, and fluid dynamics. Learn about the development of flexible software platforms like PyTorch and TensorFlow, which provide powerful tools for numerical problems. Examine the challenges in understanding the optimization landscape and convergence properties of deep learning systems. Investigate cutting-edge methods for self-supervised learning and predictive modeling of high-dimensional signals under uncertainty. Gain insights from Yann LeCun of Facebook as he discusses the shaping of energy functions to capture dependencies between variables in machine learning.
