Results 111 to 120 of about 534,560 (282)
Masked Toeplitz covariance estimation
The problem of estimating the covariance matrix $ $ of a $p$-variate distribution based on its $n$ observations arises in many data analysis contexts. While for $n>p$, the classical sample covariance matrix $\hat _n$ is a good estimator for $ $, it fails in the high-dimensional setting when $n\ll p$.
Kabanava, Maryia, Rauhut, Holger
openaire +2 more sources
This study investigates how the internal structure of fiber‐reinforced ceramic composites affects their resistance to damage. By combining 3D X‐ray imaging with acoustic emission monitoring during mechanical testing, it reveals how silicon distribution influences crack formation.
Yang Chen +7 more
wiley +1 more source
Estimating covariance matrices II
AbstractLet S1 and S2 be two independent p × p Wishart matrices with S1 ∼ Wp(Σ1, n1) and S2 ∼ Wp(Σ2, n2). We wish to estimate ζ = Σ2Σ1−1 under the loss function L1 = tr(ζ − ζ)′ Σ2−1(ζ − ζ) Σ1tr ζ. By extending the techniques of Berger, Haff, and Stein for the one sample problem, alternative estimators to the usual estimators for ζ are obtained. However,
openaire +1 more source
Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
The covariance methods exert an effect on spatially colored (correlated) noise elimination during direction finding in multiple-input multiple-output (MIMO) radar.
Fangqing Wen, Zijing Zhang, Gong Zhang
doaj +1 more source
Solid Harmonic Wavelet Bispectrum for Image Analysis
The Solid Harmonic Wavelet Bispectrum (SHWB), a rotation‐ and translation‐invariant descriptor that captures higher‐order (phase) correlations in signals, is introduced. Combining wavelet scattering, bispectral analysis, and group theory, SHWB achieves interpretable, data‐efficient representations and demonstrates competitive performance across texture,
Alex Brown +3 more
wiley +1 more source
Sparse covariance estimation in heterogeneous samples
Standard Gaussian graphical models (GGMs) implicitly assume that the conditional independence among variables is common to all observations in the sample. However, in practice, observations are usually collected form heterogeneous populations where such assumption is not satisfied, leading in turn to nonlinear relationships among variables.
Rodríguez, Abel +2 more
openaire +4 more sources
Itch‐induced tick removal (IITR): An acquired neuroimmune mechanism, itch‐induced tick removal, develops after repeated tick exposure, mobilizing T cells and macrophages at the tick bite site to trigger a rapid scratching response that facilitates timely tick removal within a critical window that precedes the transmission of many tick‐borne pathogens ...
Johannes S. P. Doehl +27 more
wiley +1 more source
High‐Dimensional Covariance Estimation From a Small Number of Samples
We synthesize knowledge from numerical weather prediction, inverse theory, and statistics to address the problem of estimating a high‐dimensional covariance matrix from a small number of samples.
David Vishny +5 more
doaj +1 more source
Cognitive Trajectories from Preclinical Alzheimer's Disease to Dementia
A continuous, multi‐domain characterization of cognitive decline across the Alzheimer's disease spectrum identifies when individual cognitive measures become abnormal. Episodic memory declines first, followed by executive function, language, processing speed, and visuospatial abilities, supporting improved clinical interpretation and optimized endpoint
Fredrik Öhman +3 more
wiley +1 more source

