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Parametric models analysed with linear maps [PDF]
Advanced Modeling and Simulation in Engineering Sciences, 2020 Parametric entities appear in many contexts, be it in optimisation, control, modelling of random quantities, or uncertainty quantification. These are all fields where reduced order models (ROMs) have a place to alleviate the computational burden ...
Hermann G. Matthies, Roger Ohayon
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Abnormal lymphatic system function in patients with chronic neck and shoulder pain: neuroimaging evidence from DTI-ALPS [PDF]
Frontiers in Molecular NeuroscienceObjectiveChronic neck and shoulder pain (CNSP) is frequently associated with structural and functional brain damage that progressively worsens over time.
Jiayu Yang +7 more
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Journal of Neuroscience Methods, 2019 Stability of spatial components is frequently used as a post-hoc selection criteria for choosing the dimensionality of an independent component analysis (ICA) of functional magnetic resonance imaging (fMRI) data. Although the stability of the ICA temporal courses differs from that of spatial components, temporal stability has not been considered during
Hu, Guoqiang +8 more
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Landmark-Based Registration of Curves via the Continuous Wavelet Transform [PDF]
, 2006 This paper is concerned with the problem of the alignment of multiple sets of curves. We analyze two real examples arising from the biomedical area for which we need to test whether there are any statistically significant differences between two subsets ...
Bigot, Jérémie
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Estimation of the distribution of change-points with appliction to fMRI data [PDF]
, 2011 Change-point detection in sequences of functional data is examined where the functional observations are dependent and where the distributions of change- points from multiple subjects is required.
Aston, John A. D., Kirch, Claudia
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Macroscopic observables and the Born rule. I. Long run frequencies [PDF]
, 2008 We clarify the role of the Born rule in the Copenhagen Interpretation of quantum mechanics by deriving it from Bohr's doctrine of classical concepts, translated into the following mathematical statement: a quantum system described by a noncommutative C ...
Landsman, Nicolaas P. +2 more
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On density and dentability in Hilbert spaces
Scientific AfricanThis paper establishes necessary and sufficient conditions for density and dentability in infinite-dimensional complex Hilbert spaces, demonstrating their fundamental connections to operator theory and optimization through a synthesis of spectral ...
Joseph Owuor Owino, Benard Okelo
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Tensor products and statistics
, 1994 A dictionary between operator-based and matrix-based languages in multivariate statistical analysis is proposed. Then this formulary is applied to asymptotic factorial analyses, especially for giving asymptotic covariance matrices and operators in an ...
Dauxois, J., Romain, Y., Viguier-Pla, S.
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Dilation theory for rank two graph algebras. [PDF]
, 2010 An analysis is given of $*$-representations of rank 2 single vertex graphs. We develop dilation theory for the non-selfadjoint algebras $\A_\theta$ and $\A_u$ which are associated with the commutation relation permutation $\theta$ of a 2-graph and, more ...
Yang, Dilian +2 more
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Tensor Products of Convex Cones
, 2022 Tensor products of convex cones have recently come up in different areas, ranging from functional analysis and operator theory to approximation theory and theoretical physics. However, most of the existing literature focuses either on Archimedean lattice
de Bruyn, Josse van Dobben
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