Regularity properties of optimal transportation problems arising in hedonic pricing models
نویسندگان
چکیده
منابع مشابه
On the regularity of maps solutions of optimal transportation problems
We give a necessary and sufficient condition on the cost function so that the map solution of Monge’s optimal transportation problem is continuous for arbitrary smooth positive data. This condition was first introduced by Ma, Trudinger and Wang [17, 21] for a priori estimates of the corresponding Monge-Ampère equation. It is expressed by a socalled cost-sectional curvature being non-negative. W...
متن کاملOn Monge–Ampère type equations arising in optimal transportation problems
On Monge-Ampère Type Equations Arising In Optimal Transportation Problems Truyen Van Nguyen DOCTOR OF PHILOSOPHY Temple University, May, 2005 Professor Cristian E. Gutiérrez, Chair In this dissertation we study Monge-Ampère type equations arising in optimal transportation problems. We introduce notions of weak solutions, and prove the stability of solutions, the comparison principle and the ana...
متن کاملBoundary Ε-regularity in Optimal Transportation
We develop an ε-regularity theory at the boundary for a general class of MongeAmpère type equations arising in optimal transportation. As a corollary we deduce that optimal transport maps between Hölder densities supported on C uniformly convex domains are C up to the boundary, provided that the cost function is a sufficient small perturbation of the quadratic cost −x · y.
متن کاملPartial Regularity Results in Optimal Transportation
This note describes some recent results on the regularity of optimal transport maps. As we shall see, in general optimal maps are not globally smooth, but they are so outside a “singular set” of measure zero. 1. The optimal transportation problem The optimal transportation problem, whose origin dates back to Monge [19], aims to find a way to transport a distribution of mass from one place to an...
متن کاملBoosting the Accuracy of Hedonic Pricing Models
Hedonic pricing models attempt to model a relationship between object attributes and the object’s price. Traditional hedonic pricing models are often parametric models that suffer from misspecification. In this paper we create these models by means of boosted CART models. The method is explained in detail and applied to various datasets. Empirically, we find substantial reduction of errors on o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2013
ISSN: 1292-8119,1262-3377
DOI: 10.1051/cocv/2012027