Which mathematical concept forms the foundation of recommendation engines used by online retailers to suggest products based on past purchases?

Modern retail relies heavily on mathematical algorithms to optimize operations and enhance customer experiences. From inventory management to personalized recommendations, mathematics drives retail technology advancements. This poll tests your knowledge about how mathematical concepts are applied in cutting-edge retail technology systems that are transforming the industry. Do you understand the mathematical foundations behind the digital transformation of retail?

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Collaborative filtering algorithms using matrix factorization and nearest neighbor calculations
Binary search trees for organizing product hierarchies
Simplex method for linear programming optimization
Fourier transforms for time-series analysis of purchasing patterns