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Explore the groundbreaking legacy of Rudolph Kalman in this Rothschild Lecture delivered by Professor Andrew Stuart from Caltech. Delve into Kalman's seminal 1960 paper that laid the foundation for systematic approaches to enhancing mathematical models through data integration. Discover how this work has revolutionized diverse fields including space-craft control, weather prediction, oceanography, oil recovery, medical imaging, and artificial intelligence. Gain insights into the growing importance of Kalman's principles in our data-rich world. Learn about key mathematical concepts such as optimization and iteration, presented in an accessible manner suitable for anyone interested in quantitative science. Understand the far-reaching impact of Kalman's work on improving predictive capabilities across various scientific disciplines.