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This paper presents a link between the well known Common Spatial Pattern (CSP) algorithm and Riemannian geometry in the context of Brain Computer Interface (BCI). It will be shown that CSP spatial filtering and Log variance features extraction can be resumed as a computation of a Riemann distance in the space of covariances matrices. This fact yields to highlight several approximations with respect...
Shape discretization through union of weighted points or balls appears as a common representation in different fields of computer graphics and geometric modeling. Among others, it has been very successful for implicit surface reconstruction with radial basis functions, molecular atomic models, fluid simulation from particle systems and deformation tracking with particle filters. These representations...
We propose a perturbative analytic approach to the description of non-autonomous dynamics of spin-torque nano-oscillators (STNO) which is based on using the autonomous (unperturbed) STNO dynamics obtained either analytically or numerically as a zero approximation. The role of a small parameter is played by the ratio of the energy of the STNO interaction with an external perturbation to the energy...
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