An algorithm to generate samples with approximate first-, second-, and third-order moments is presented extending the Cholesky matrix decomposition to a Cholesky tensor decomposition of an arbitrary order. The tensor decomposition of the first-, second-, and third-order objective moments generates a non-linear system of equations. The algorithm solves these equations by numerical methods. The r...

We consider the problem of learning associative mixtures for classification and regression problems, where the output is modeled as a mixture of conditional distributions, conditioned on the input. In contrast to approaches such as expectation maximization (EM) or variational Bayes, which can get stuck in bad local optima, we present a tensor decomposition method which is guaranteed to correctl...

We build on our earlier results (DE-FC52-06NA27324, Dreger et al., 2008; Ford et al., 2010; Ford et al., 2009a, b; Ford et al., 2008) in which it has been demonstrated that regional distance moment tensor analysis can discriminate explosions from naturally occurring earthquakes and mine collapses. In this project, as an effort to refine procedures for implementation we develop a more complete u...

It has been suggested that the inertia tensor governs many instances of haptic perception. However, the evidence is inconclusive because other candidate mechanical parameters (i.e., invariants) were not or were insufficiently controlled for in pertinent experiments. By independently varying all candidate mechanical parameters, the authors were able to test the role of the inertia tensor relativ...

A (microscopic) static elastoplastic field theory of dislocations with moment stress is considered. The relationship between the moment stress and the Nye tensor is discussed and used for the dislocation Lagrangian. We discuss the stress field of a screw dislocation which is modified in the core region due to the appearance of moment stress.

2014 We predict in the case of FeCl2 which is an uniaxial antiferromagnet for T ~ TN (~ 25 K), that one can modify the Fe+2 ions crystalline field symmetry by applying a mechanical stress and hence modify the moment orientation of these ions. We give as function of the crystalline field variation 03B4W, an expression for the components of the tensor which relates the moment variation of each io...