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Explore a mathematical perspective on machine learning in this lecture by Weinan E for the International Mathematical Union. Delve into the theoretical foundations of deep learning, its impact on artificial intelligence, and its potential to revolutionize scientific research. Examine the effectiveness of neural networks in approximating high-dimensional functions and their ability to tackle problems affected by the curse of dimensionality. Gain insights into recent theoretical advancements, pressing unsolved mathematical issues, and practical challenges in the field. Discover how deep learning can be applied to solve complex problems in science and scientific computing, and consider more general, mathematically-oriented models of machine learning. Access accompanying presentation slides for a comprehensive understanding of the topic.
