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This paper explores the development of optimal wavelet synopses aimed at enhancing data representation and analysis. It introduces innovative algorithms and methodologies for constructing minimal and effective synopses that preserve essential data features while ensuring computational efficiency. By leveraging wavelet transformations, the study addresses the challenge of balancing fidelity and storage costs, making it applicable in various domains such as signal processing, image compression, and data analytics. The findings could lead to significant advancements in how we process and store large datasets.
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