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Many practical problems require estimating future values of a Positive Definite matrix from past historical data. While several models have been proposed in the literature for propagating past data in this context, the problem of identifying these models from experiments is largely open. The main result of this paper is an efficient convex optimization based algorithm for identifying a class of models...
We give an algorithm that, for every fixed k, decides isomorphism of graphs of rank width at most k in polynomial time. As the rank width of a graph is bounded in terms of its clique width, we also obtain a polynomial time isomorphism test for graph classes of bounded clique width.
The mutual information between modulation- constrained input and its output through Gaussian channels has been studied for various purposes such as physical layer abstraction. While the capacity of multiple-input and multiple-output (MIMO) Gaussian channels is well understood and its simple formula exists, this modulation- constrained mutual information for MIMO Gaussian channels has only been computed...
To deal with redundancy and high-dimensionality that are typical of movement data, we propose to decompose action matrices in two decoupled steps: first, we discover a set of key postures, that is, vectors corresponding to key relationships among degrees of freedom (like angles between body parts) which we call spatial basis (SB) and second, we impose a parametric model to the spatio-temporal (ST)...
Absolute orientation is fairly important in stereo photogrammetry. The conventional solution for absolute orientation is iterative solution, which has complex algorithms, spends much time on computation, relies desperately on good initial value, and therefore is quite limited in practical applications. This paper analyses the inverse problem of orthogonal matrices and its optimal approximation, and...
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