THIS SUPPLEMENTAL MATERIAL contains the proofs of all the lemmas that do not appear in the printed Appendix to the paper. It also contains the statements of all these lemmas and details of the intervening arguments in the proofs of the propositions. These arguments appeared in the printed Appendix. It also contains a proof of existence for a more general model that implies Proposition 3(ii). Th...

Entropy Methods for Identifying Hedonic Models This paper contributes to the literature on hedonic models in two ways. First, it makes use of Queyranne’s reformulation of a hedonic model in the discrete case as a network flow problem in order to provide a proof of existence and integrality of a hedonic equilibrium and efficient computational techniques of hedonic prices. Second, elaborating on ...

In 2002, a method has been proposed by Buchholz et al. in the context of Local Quantum Physics, to characterize states that are locally in thermodynamic equilibrium. It could be shown for the model of massless bosons that these states exhibit quite interesting properties. The mean phase-space density satisfies a transport equation, and many of these states break time reversal symmetry. Moreover...

We give a concise definition of mitered offset surfaces for nonconvex polytopes in R, along with a proof of existence and a discussion of basic properties. These results imply the existence of 3D straight skeletons for general nonconvex polytopes. The geometric, topological, and algorithmic features of such skeletons are investigated, including a classification of their constructing events in t...

In this paper we study, via variational methods, the problem of scattering of time harmonic acoustic waves by an unbounded sound soft surface. The boundary ∂D is assumed to lie within a finite distance of a flat plane and the incident wave is that arising from an inhomogeneous term in the Helmholtz equation whose support lies within some finite distance of the boundary ∂D. Via analysis of an eq...

We consider the stationary flow of a heat conducting Power Law shear thinning fluid in a bounded domain in R2. We present an elementary proof of existence of at least one weak solution.

We present an algorithm for learning correlations among link types and node attributes in relational data that represent complex heterogeneous networks. The link correlations are represented in a Bayes net structure. The current state of the art algorithm for learning relational Bayes nets captures only correlations among entity attributes given the existence of links among entities. The models...

As the most widely used data model, the relational data model has undergone extensions since it was first introduced. The motivation is mainly to increase the ability in capturing complex real world problems. The new era of Internet databases, which includes document meta-data repository and multi media databases have raised a need for more complex semantics of data modeling. Thus, the existing...

A large portion of the data that is collected in various application domains such as online social networking, finance, biomedicine, etc. is relational in nature. A subfield of Machine Learning namely; Statistical Relational Learning (SRL) is concerned with performing statistical inference on relational data. A defining property of relational data that separates it from independently and identi...

A large portion of the data that is collected in various application domains such as online social networking, finance, biomedicine, etc. is relational in nature. A subfield of Machine Learning namely; Statistical Relational Learning (SRL) is concerned with performing statistical inference on relational data. A defining property of relational data that separates it from independently and identi...