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Explore the fascinating intersection of knot theory and data science in this 59-minute conference talk from ICBS2025. Delve into how mathematical concepts from knot theory can be applied to data analysis and computational problems, examining the theoretical foundations that connect topological structures with modern data processing techniques. Learn about innovative approaches to understanding complex data relationships through the lens of knot invariants and topological properties. Discover how knot theory provides unique perspectives on data visualization, pattern recognition, and structural analysis of complex datasets. Gain insights into cutting-edge research that bridges pure mathematics and practical data science applications, exploring how topological methods can reveal hidden structures and relationships within large-scale data systems.