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...

In this talk, I will present a novel class of first-order methods, termed auto-conditioned methods, that are universal for solving various classes of optimization problems without requiring prior knowledge of problem parameters or resorting to any line search or backtracking procedures. In the first part of the talk, we focus on convex optimization and propose...