Which mathematical advancement has been most pivotal in enabling real-time personalized product recommendations in modern e-commerce platforms?

The intersection of mathematics and retail technology has transformed how businesses analyze consumer behavior and optimize operations. Advanced algorithms and statistical models now power everything from inventory management to personalized recommendations. This poll tests your knowledge of how mathematical innovations have specifically impacted retail technology adoption and implementation in the market.

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Collaborative filtering algorithms that identify patterns across large user datasets
Fourier transforms for analyzing seasonal purchasing trends
Euclidean distance calculations for store layout optimization
Linear regression models for predicting overall market growth