Abstract Frame Theory -- Fourier-type Frame Theory -- Bandlimited Framelet Theory -- Compactly Supported Framelet Theory -- Periodic Framelet Theory -- Spheroidal-type Frame Theory -- Big Data -- Climate Diagnosis -- Frame Neural Networks.

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. .