Abstract: We show that, in a general family of linearized structural macroeconomic models, the counterfactual evolution of the economy under alternative policy rules is fully pinned down by two empirically estimable objects: (i) reduced-form projections with respect to a large information set; and (ii) the causal effects of policy shocks on macroeconomic aggregates. Under our assumptions,…
Abstract: We present an efficient algorithm to solve semi-random planted instances of any Boolean constraint satisfaction problem (CSP). The semi-random model is a hybrid between worst-case and average-case input models, where the input is generated by (1) choosing an arbitrary planted assignment x∗, (2) choosing an arbitrary clause structure, and (3) choosing literal negations for…
Abstract: In this talk, I will discuss my recent work on entropic optimal transport (EOT). In the first part, I will discuss limit theorems for EOT maps, dual potentials, and the Sinkhorn divergence. The key technical tool we use is a first and second-order Hadamard differentiability analysis of EOT potentials with respect to the marginals,…
Abstract: We show that, in a general family of linearized structural macroeconomic models, the counterfactual evolution of the economy under alternative policy rules is fully pinned down by two empirically estimable objects: (i) reduced-form projections with respect to a large information set; and (ii) the causal effects of policy shocks on macroeconomic aggregates. Under our assumptions,…
Abstract: We present an efficient algorithm to solve semi-random planted instances of any Boolean constraint satisfaction problem (CSP). The semi-random model is a hybrid between worst-case and average-case input models, where the input is generated by (1) choosing an arbitrary planted assignment x∗, (2) choosing an arbitrary clause structure, and (3) choosing literal negations for…
Abstract: In this talk, I will discuss my recent work on entropic optimal transport (EOT). In the first part, I will discuss limit theorems for EOT maps, dual potentials, and the Sinkhorn divergence. The key technical tool we use is a first and second-order Hadamard differentiability analysis of EOT potentials with respect to the marginals,…
