Which mathematical concept forms the foundation of Amazon's recommendation engine that suggests 'Customers who bought this item also bought...'?

E-commerce platforms use sophisticated mathematical algorithms to drive their recommendation engines and enhance user experience. These algorithms analyze vast amounts of data including browsing history, purchase patterns, and demographic information to suggest products that customers are likely to buy. Understanding which mathematical concepts power these systems reveals the fascinating intersection of mathematics and retail technology.

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Matrix Factorization and Collaborative Filtering
Bayesian Networks and Decision Trees
Neural Networks and Deep Learning
Linear Regression and K-means Clustering