In this work, Evans' homogeneous nonequilibrium molecular dynamics method for estimating thermal conductivity is extended to systems employing three-body potentials. This extension is put on a firm theoretical basis and applied to a silicon lattice modeled by the Stillinger-Weber potential. Two new methods are suggested for estimating the thermal conductivity based on a range of values of the f...

Policy-based inference control of queries submitted to a logicoriented information system requires us to consider the history of queries and answers to a particular user. In most previous approaches, the control system captures the history by maintaining a fictitious view the user is supposed to generate by exploiting rational reasoning. In this paper, we propose and explore an alternative opti...

We introduce a new fictitious domain method for the solution of second-order elliptic boundary-value problems with Dirichlet or Neumann boundary conditions on domains with C2 boundary. The main advantage of this method is that it extends the solutions smoothly, which leads to better performance by achieving higher accuracy with fewer degrees of freedom. The method is based on a least-squares in...

Many real-world applications can be described as large-scale games of imperfect information. To deal with these challenging domains, prior work has focused on computing Nash equilibria in a handcrafted abstraction of the domain. In this paper we introduce the first scalable endto-end approach to learning approximate Nash equilibria without any prior knowledge. Our method combines fictitious sel...

We study the performance of Fictitious Play, when used as a heuristic for finding an approximate Nash equilibrium of a two-player game. We exhibit a class of two-player games having payoffs in the range [0, 1] that show that Fictitious Play fails to find a solution having an additive approximation guarantee significantly better than 1/2. Our construction shows that for n×n games, in the worst c...