Jiaqi Wang

D-optimal partitioning: design of experiments under heterogeneous treatment effects

  • Jiaqi Wang
  • Weijun Xie
    • Categories Combinatorial Optimization, Nonlinear Optimization, Optimization in Data Science Tags , , , ,

    Modern experimentation in business and public policy often studies targeted interventions whose effects depend on the heterogeneous attributes of individuals. We examine heterogeneous treatment effects through the lens of optimal design of experiments, which allocates treatment decisions to maximize the precision of estimated treatment-covariate interactions. We introduce the D-optimal partitioning problem for balancing the information … Read more

    Closing the Gap: Efficient Algorithms for Discrete Wasserstein Barycenters

  • Jiaqi Wang
  • Weijun Xie
    • Categories Integer Programming, Optimization in Data Science Tags , , , ,

    The Wasserstein barycenter problem seeks a probability measure that minimizes the weighted average of the Wasserstein distances to a given collection of probability measures. We study the discrete setting, where each measure has finite support — a regime that frequently arises in machine learning and operations research. The discrete Wasserstein barycenter problem is known to … Read more