Assortment and inventory decisions lie at the core of supply chain and retail operations. In practice, these decisions face two fundamental challenges arising from complex customer choice behavior. First, customers often purchase complementary products across categories, which makes category-level decisions interdependent. Second, inventory is limited and customers arrive over time, so product availability changes dynamically...

First-order methods are widely used to tackle data science and machine learning problems with complex structures, such as nonconvexity, nonsmoothness, and stochasticity. However, in many real-world scenarios, the problem structure and parameters can be unknown or ambiguous, creating significant challenges for algorithm design and stepsize selection. In this talk, I will present a novel class...