We develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer hold. Nevertheless, we can use the framework to provide psychologically appealing explanations of observed behavior in well-studied games (such as finitely rep...

In this paper we address an inverse problem for the time-dependent linear transport equation (or radiative transfer equation) in 2D having in mind applications in diffuse optical tomography (DOT). We propose two new reconstruction algorithms which so far have not been applied to such a situation and compare their performances in certain practically relevant situations. The first of these recons...

This article presents a method for solving large-scale linear inverse imaging problems regularized with a nonlinear, edge-preserving penalty term such as total variation or the Perona–Malik technique. Our method is aimed at problems defined on unstructured meshes, where such regularizers naturally arise in unfactorized form as a stiffness matrix of an anisotropic diffusion operator and factoriz...

In this paper, we present a regularization method in the nonstationary inverse problem for diffuse optical tomography (DOT). The regularization is based on a choosing time evolution process such that in a stationary state it has a covariance function which corresponds to a process with similar smoothness properties as the first-order smoothness Tikhonov regularization. The proposed method is co...

s, 28, 719–722. Commer, M., and G. Newman, 2008a, New advances in three-dimensional controlled source electromagnetic inversion: Geophysical Journal International, 172, no. 2, 513–535, doi:10.1111/j.1365-246X.2007.03663.x. ———, 2008b, Optimal conductivity reconstruction using three-dimensional joint and model-based inversion for controlled-source and magnetotelluric data: 78th Annual Internatio...

hydroxybutyrate and DPN+ and the amounts of DPNH formed were measured. Phosphate buffer was used at pH 7 and tris buffer at the fnore alkaline pH values. Controls containing all reagents except P-hydroxybutyrate or acetoacetate showed no significant changes in extinction. The results of 14 individual measurements showed good agreement (Table 1). The mean value for K was 1-42 + 0 19 (S.D.) X 10-...

In this paper, we present a regularization method in the nonstationary inverse problem for diffuse optical tomography (DOT). The regularization is based on a choosing time evolution process such that in a stationary state it has a covariance function which corresponds to a process with similar smoothness properties as the first-order smoothness Tikhonov regularization. The proposed method is co...