arXiv Machine Learning

Learning to Price and Stock Under Contextual and Censored Demand

arXiv Statistics ML
2d ago

Towards Optimal Inventory Control under Censored Demand: A Biased Sample-Average Approximation Approach

The paper presents a data‑driven framework for multi‑period lost‑sales inventory control when demand is censored, meaning stockouts only reveal that demand exceeded the stocking level. It introduces a new cost decomposition for base‑stock policies and a biased sample‑average approximation (SAA) method, leading to two algorithms: an upper‑biased SAA that achieves near‑optimal sample complexity under an offline coverage condition, and a lower‑biased SAA that actively generates coverage to achieve near‑optimal online regret. The biased SAA approach offers a general principle for applying pessimism and optimism in settings with censored feedback.

By Yuxuan Han, Xiaoyu Fan, Jiawei Zhang, Zhengyuan Zhou
arXiv Machine Learning
Aug 18

Dynamic Pricing and Advertising with Demand Learning

arXiv:2304. 14385v4 Announce Type: replace-cross Abstract: We consider a novel pricing and advertising framework in which a seller not only sets the product price but also designs flexible advertising schemes to influence customers' valuations of the product.

By Shipra Agrawal, Yiding Feng, Wei Tang