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Showing 1 to 15 of 15 for “"Kronecker product"”.
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A tensor product decomposition of the many-electron Hamiltonian
… is described. The approach exploits a tensor (Kronecker) product construction of the many-electron Hamiltonian and has a number of computational advantages. Explicit assembly and storage of the Hamiltonian matrix is avoided by using the Kronecker product structure to form matrix-vector products …
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Canonical Correlation Analysis for Longitudinal Data
… on longitudinal data when the data have a Kronecker product covariance structure. Using structured correlation matrices we model the dependency of repeatedly observed data. Recent work of Srivastava, Nahtman, and von Rosen (2008) developed an iterative algorithm to determine the maximum …
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Inference of high-dimensional linear models with time-varying coefficients
… transpose-able data. The method is based on a Kronecker product approximation of the graphical lasso and the application of the alternating directions method of multipliers minimization. A simulation example is provided.
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Stability of linear autonomous systems under regular switching sequences
… exponential stability. In addition, by using the Kronecker product, we prove that a robust regular asymptotic stability problem is equivalent to the conjunction of several robust absolute asymptotic stability problems.
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Low-rank Based Algorithms for Rectification, Repetition Detection and De-noising in Urban Images
… that extract repeated patterns by using Kronecker product based modeling that is based on a solid theoretical foundation. We have tested our algorithms in a large set of images, which includes building facades from Paris, Hong Kong and New York.</p>
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Fermionic Diagonal Coinvariants
… $(i,j)$-th degree component is a difference of Kronecker product of two hook Schur functions. In addition we consider a module $M_{n,m}$ spanned by $m$-ary strings of length $n$. When $m = 2$, as a vector space, $M_{n,2} \cong \mb{C}[X_n] / \langle x_1^2, \ldots, x_n^2 \rangle$. The trivial …
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Aspects of parallel topologies applied to digital transforms of discrete signals
… any transformation which can be expressed as a Kronecker or tensor product/sum. A hypercube based algorithm was devised which converts the Kronecker product to a Hadamard product on a hypercube structure. This provides a simple algorithm for parallel implementations. Examination of the four sets …
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Model-based methods for high-dimensional multivariate analysis
… and the precision matrix, which we assume has a Kronecker product decomposition. Our penalties encourage pairs of response category mean matrix estimators to have equal entries and also encourage zeros in the precision matrix estimator. To compute our estimators, we use a blockwise coordinate …
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Geometric Methods for Point Estimation
… covariance matrices that approximately have a Kronecker product structure. The idea of geodesic shrinkage can be applied with respect to alpha-geodesics that arise from the information geometry of a statistical model. These alpha-geodesics also lead to interpretable parameter space …
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Canonical Correlation and Correspondence Analysis of Longitudinal Data
… the two vectors are quantitative, we use a block Kronecker product matrix to model dependency of the variables over time. We then apply canonical correlation analysis on this matrix to obtain canonical correlations and canonical variables. When the variables are qualitative, the data are …
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Design and performance of CDMA codes for multiuser communications
… codes employed in present CDMA systems. Hybrid (Kronecker) codes are generated by taking Kronecker product of two spreading code families in a two-stage orthogonal transmultiplexer structure and are judiciously allocated to users such that their inter-code correlations are minimized. It is shown …
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On the construction of balanced and partially balanced factorial experiments
… matrix and the operations symbolic direct product (SDP), generalized symbolic direct product (GSDP), symbolic direct multiplication (SDM), and generalized symbolic direct multiplication (GSDM). Let A₁ , A₂, ... , A<sub>n</sub> be n factors in a factorial experiment, with A<sub>i</sub> …
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Two New Applications of Tensors to Machine Learning for Wireless Communications
… an optimal precoder which is a function of Kronecker-Product (KP) of two low-dimensional precoders, each corresponding to the horizontal and vertical dimensions of the FD-MIMO channel. From the design perspective, we have made contributions in deriving a criterion for optimal product …
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State-space modeling of MEG time series
… algorithms for MEG data analysis: KronEM (Kronecker Product modeling using KS+EM) and StimEM (Stimulus effect estimation using KS+EM). KronEM characterizes the spatiotemporal covariance of MEG recordings using an parameterization that efficiently describes the rhythmicity present in resting …
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Numerical Contributions to the Asymptotic Theory of Robustness
… for regression-type models (Appendix A), on the Kronecker product and the vec and vech operators (Appendix B) as well as on the convolution via FFT (Appendix C). Moreover, Appendix D provides a brief description of the R packages distrEx, RandVar, ROptEst and ROptRegTS which are part of the R …