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Explore the foundations of trustworthy network science in this comprehensive lecture. Delve into measuring instability, data analysis, and algorithmic approaches. Examine embedding methods, develop intuition, and address key questions in the field. Learn about performance metrics, negative sampling techniques, and reliability considerations. Discover recent advancements and gain valuable insights into the practical applications of network science. Enhance your understanding of complex systems and their interconnections through this in-depth exploration of cutting-edge research and methodologies.