This paper introduces shape boundary regions in descriptive proximity forms of CW (Closure-finite Weak) spaces as a source amiable fixed subsets well almost proximally continuous (dpc) maps. A dpc map is an extension Efremovič-Smirnov (pc) introduced during the early-1950s by V.A. Efremovič and Yu.M. Smirnov. Amiable sets Betti numbers their free Abelian group representations are derived from d...

We derive formulas for the backward error of an approximate eigenvalue of a ∗palindromic matrix polynomial with respect to ∗-palindromic perturbations. Such formulas are also obtained for complex T -palindromic pencils and quadratic polynomials. When the T -palindromic polynomial is real, then we derive the backward error of a real number considered as an approximate eigenvalue of the matrix po...

Many exact and approximate solution methods for Markov Decision Processes (MDPs) attempt to exploit structure in the problem and are based on factorization of the value function. Especially multiagent settings, however, are known to suffer from an exponential increase in value component sizes as interactions become denser, meaning that approximation architectures are restricted in the problem s...

We are interested in the problem of plan­ ning for factored POMOPs. Building on the recent results of Kearns, Mansour and Ng, we provide a planning algorithm for fac­ tored POMOPs that exploits the accuracy­ efficiency tradeoff in the belief state sim plifi­ cation introduced by Boyen and Koller.