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Explore the intricacies of Bayesian limits in structured Principal Component Analysis (PCA) and learn effective strategies to achieve them in this 43-minute workshop lecture. Delivered by J. Barbier from ICTP Trieste as part of the Workshop on Spin Glasses, the talk delves into advanced statistical concepts and their applications in data analysis. Gain insights into the theoretical foundations and practical implications of Bayesian approaches in PCA, enhancing your understanding of complex data structures and optimization techniques.