Zhang Z. Frame Theory in Data Science 2024
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Textbook in PDF format This book establishes brand-new frame theory and technical implementation in data science, with a special focus on spatial-scale feature extraction, network dynamics, object-oriented analysis, data-driven environmental prediction, and climate diagnosis. Given that data science is unanimously recognized as a core driver for achieving Sustainable Development Goals of the United Nations, these frame techniques bring fundamental changes to multi-channel data mining systems and support the development of digital Earth platforms. This book integrates the authors' frame research in the past twenty years and provides cutting-edge techniques and depth for scientists, professionals, and graduate students in data science, applied mathematics, environmental science, and geoscience. Preface Abstract Frames Harmonic Frames Polynomial Frames Analytic Extension of Frames Quasi-Orthogonal Frames Affine Frames Spectral Domain of Frames Periodic Frames Frame Spectral Energy Distribution Sparse Frame-Polynomial Coupling Representation Object-Oriented Frame Analysis Frame Networks Further Reading