Reproducing Kernel Methods for Machine Learning, PDEs, and Statistics

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· Other Titles in Applied Mathematics Book 212 · SIAM
Ebook
175
Pages
Eligible

About this ebook

This monograph develops a unified, application-driven framework for kernel methods grounded in reproducing kernel Hilbert spaces and optimal transport. The primary goal is to tackle industrial cases from computational physics and mathematical finance and discuss applications across various areas, such as statistics, or artificial intelligence (physics-informed systems, reinforcement learning, machine learning, generative methods, etc.).

Reproducing Kernel Methods for Machine Learning, PDEs, and Statistics is divided into two parts, theoretical principles and the techniques employed in their applications; contains numerous applications in engineering, finance, and machine learning; and provides a framework for designing numerically efficient, large-scale dataset strategies.

This book will primarily be a resource for researchers and professionals in the fields of scientific computation, statistics, mathematical finance, and engineering sciences. Graduate students in the aforementioned fields may also find this book of use.

This monograph develops a unified, application-driven framework for kernel methods grounded in reproducing kernel Hilbert spaces and optimal transport. The primary goal is to tackle industrial cases from computational physics and mathematical finance and discuss applications across various areas,...

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About the author

P.G. LeFloch is a research professor at the Laboratoire Jacques-Louis Lions, Sorbonne University, and at the Centre National de la Recherche Scientifique (CNRS).

J.-M. Mercier is a permanent researcher at the financial company MPG Partners, based in Paris.

S. Miryusupov is a permanent researcher at the financial company MPG Partners, based in Paris.

P.G. LeFloch is a research professor at the Laboratoire Jacques-Louis Lions, Sorbonne University, and at the Centre National de la Recherche Scientifique (CNRS). J.-M. Mercier is a permanent researcher at the financial company MPG Partners, based in Paris. S. Miryusupov is a permanent researcher...

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