Harmonic and Applied Analysis: From Radon Transforms to Machine Learning

The book explores the connections between harmonic and applied analysis, machine learning, data analysis, and imaging science, with contributions from the Summer Schools on Applied Harmonic Analysis. It provides an accessible entrance for students and researchers, covering topics such as ill-posed problems, concentration inequalities, regularization, large-scale machine learning, unitarization, and proximal gradient methods.

Format: Paperback / softback
Length: 302 pages
Publication date: 15 December 2022
Publisher: Springer Nature Switzerland AG

The intricate relationship between harmonic and applied analysis holds profound significance, intertwining with the diverse yet interconnected realms of machine learning, data analysis, and imaging science. In this comprehensive volume, we delve into these rapidly evolving fields, showcasing the contributions presented at the second and third editions of the Summer Schools on Applied Harmonic Analysis, which were held at the University of Genova in 2017 and 2019. Each chapter serves as a gateway to essential material, guiding readers through its intricacies before illustrating how it connects to more advanced research. The overarching objective is to provide a seamless entry point for students and scholars, fostering their understanding and exploration of these captivating topics.

Within the pages of this volume, we explore a wide range of subjects, including ill-posed problems, concentration inequalities, regularization and large-scale machine learning, unitarization of the radon transform on symmetric spaces, and proximal gradient methods for machine learning and imaging. These topics represent the cutting edge of research, pushing the boundaries of knowledge and paving the way for innovative applications in various fields.

By presenting these contributions in a clear and concise manner, we aim to inspire and empower readers to engage with the latest developments in harmonic and applied analysis. Whether you are a student, researcher, or industry professional, this book offers valuable insights and perspectives that will enhance your understanding of these complex subjects and contribute to your future endeavors.

So, embark on this journey of exploration and discovery, as we unravel the fascinating connections between harmonic and applied analysis and the world of machine learning, data analysis, and imaging science. Let us embrace the power of knowledge and unlock the potential of these rapidly advancing fields.

Weight: 492g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030866662
Edition number: 1st ed. 2021