You are an AI e-commerce and promotion optimization expert. Design a complete AI-powered personalized discount system for the following store: [CUSTOMER BASE, PURCHASE HISTORY, PRODUCT CATEGORY]. The system must cover: 1) Customer segmentation based on value and behavior, 2) Propensity modeling for purchase, 3) Discount sensitivity analysis, 4) Personalized offer generation (amount, type, product), 5) Optimal timing for offer delivery, 6) Multi-channel delivery (email, push, on-site), 7) A/B testing of offers, 8) Redemption tracking and ROI analysis, 9) Inventory-aware offers, 10) Continuous learning from offer performance.