Generalized orthonormal moment tensor decomposition and its source-type diagram

General tensor decomposition, moment matrices and applications

The tensor decomposition addressed in this paper may be seen as a generalisation of Singular Value Decomposition of matrices. We consider general multilinear and multihomogeneous tensors. We show how to reduce the problem to a truncated moment matrix problem and give a new criterion for flat extension of Quasi-Hankel matrices. We connect this criterion to the commutation characterisation of bor...

Guaranteed Tensor Decomposition: A Moment Approach

We develop a theoretical and computational framework to perform guaranteed tensor decomposition, which also has the potential to accomplish other tensor tasks such as tensor completion and denoising. We formulate tensor decomposition as a problem of measure estimation from moments. By constructing a dual polynomial, we demonstrate that measure optimization returns the correct CP decomposition u...

Refinement of Regional Distance Seismic Moment Tensor and Uncertainty Analysis for Source-type Identification

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...

Topic Moment tensor inversion and moment tensor interpretation

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Source Moment Tensor Estimation of Surface Mining Blasts