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This article discusses the importance of optimization methods in the fields of big data and artificial intelligence, specifically in image processing, stochastic learning, signal processing, and computer vision. The Special Issue aims to share recent advancements in optimization methods and their applications, with a focus on symmetric matrices and tensors. The goal is to deepen understanding and encourage quantitative comparison and performance evaluation in image processing and analysis. Topics of interest include advanced optimization algorithms, machine learning, and computer vision. Manuscripts can be submitted online and will undergo peer-review before being published in the journal.