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Com~jderations on Modcls of I\1ovcment Det~ction

A general charaelerization of multi-input 1'1Ovcmcnt (!clt'ctioH . models is given in terms of tl.e Volterra series formalism. Wheil nonlinearities of order higher than the second arc ncgligibk, an II-input system can be decomposed into a sd of 2-input systems, summing lillearly. For a isymmdrical) 2-inpllt system which h;!s sigllifjcanlnonline:iri~ics only lip 10the second order, (he correlati...

On the Convexity of log det (I + K X^{-1})

A simple proof is given for the convexity of log det(I +KX) in the positive definite matrix variable X ≻ 0 with a given positive semidefinite K 0. Convexity of functions of covariance matrices often plays an important role in the analysis of Gaussian channels. For example, suppose Y and Z are independent complex Gaussian nvectors with Y ∼ N(0,K) and Z ∼ N(0,X). Then, I(Y;Y + Z) = log det(I +KX)...

To dig or not to dig.

The DIG Description Logic Interface: DIG/1.1

This document describes a simple API for a general description logic system.

The DIG Description Logic Interface: DIG/1.0

This document describes a simple API for a general description logic system. This forms the first of a number of such specifications. Later versions will introduce more higher-level functionality. The current, Level 0 specification provides basic access to the reasoning capabilities of a DL reasoner.