Inorganic compounds and higher order structures.

Higher order Hessian structures on manifolds

In this paper we define nth order Hessian structures on manifolds and study them. In particular, when n = 3, we make a detailed study and establish a one-to-one correspondence between third-order Hessian structures and a certain class of connections on the second-order tangent bundle of a manifold. Further, we show that a connection on the tangent bundle of a manifold induces a connection on th...

Edge Role Discovery via Higher-Order Structures

Previous work in network analysis has focused on modeling the roles of nodes in graphs. In this paper, we introduce edge role discovery and propose a framework for learning and extracting edge roles from large graphs. We also propose a general class of higher-order role models that leverage network motifs. This leads us to develop a novel edge feature learning approach for role discovery that b...

Learning higher-order structures in natural images.

The theoretical principles that underlie the representation and computation of higher-order structure in natural images are poorly understood. Recently, there has been considerable interest in using information theoretic techniques, such as independent component analysis, to derive representations for natural images that are optimal in the sense of coding efficiency. Although these approaches h...

Beryllium and Inorganic Beryllium Compounds

Arsenic and inorganic arsenic compounds

Arsenic, arsenic trioxide and pentoxide, arsenous acids, arsenic acid and their salts (arsenites and arsenates) are carcinogenic substances (Carcinogen category 1) and do not, therefore, have MAK and BAT values (Greim 2002). The former TRK value (technical exposure limit) for arsenic and its inorganic compounds was 0.10 mg arsenic/m (measured as the inhalable fraction of the aerosol; calculated...