In recent years the development of new classification and
regression algorithms based on deep learning has led to a
revolution in the fields of artificial intelligence, machine
learning, and data analysis. The development of a theoretical
foundation to guarantee the success of these algorithms constitutes
one of the most active and exciting research topics in applied
mathematics. This book presents the current mathematical
understanding of deep learning methods from the point of view of
the leading experts in the field. It serves both as a starting
point for researchers and graduate students in computer science,
mathematics, and statistics trying to get into the field and as an
invaluable reference for future research.
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