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Applications Of Dynamic Mode Decomposition And Sparse Reconstruction In The Data-Driven Dynamic Analysis Of Physical Systems, Mojtaba F. Fathi

Theses and Dissertations

Recent advancements in data collection methods and equipment have resulted in a huge increase in the amount of data collected by observing various types of physical phenomena. Regardless of the amount of data collected, it is well known for many physical systems, the so-called information rank of the collected data is much lower than the rank of the data itself. This usually means the data may be represented sparsely in terms of a properly-chosen basis. This realization has led to methods for storing large amounts of data through compression by sacrificing negligible data quality. More importantly, with the advent of …