Results 91 to 100 of about 294,893 (309)

Generalizations of the Kantorovich and Wielandt Inequalities with Applications to Statistics

Mathematics
By utilizing the properties of positive definite matrices, mathematical expectations, and positive linear functionals in matrix space, the Kantorovich inequality and Wielandt inequality for positive definite matrices and random variables are obtained ...
Yunzhi Zhang, Xiaotian Guo, Jianzhong Liu, Xueping Chen   +3 more
doaj   +1 more source

Neighborhood preserving sparse representation based on Nyström method for image set classification on symmetric positive definite matrices

Journal of Algorithms & Computational Technology, 2019
In the field of pattern recognition, using the symmetric positive-definite matrices to represent image set has been widely studied, and sparse representation-based classification algorithm on the symmetric positive-definite matrix manifold has attracted ...
Chu Li, Xiao-Jun Wu
doaj   +1 more source

A Matrix Hyperbolic Cosine Algorithm and Applications

, 2012
In this paper, we generalize Spencer's hyperbolic cosine algorithm to the matrix-valued setting. We apply the proposed algorithm to several problems by analyzing its computational efficiency under two special cases of matrices; one in which the matrices ...
A. Wigderson, C.J. Thompson, D. Achlioptas, D. Peleg, E.G. Boman, G.W. Stewart, I. Koutis, J. Carrier, J. Spencer, J. Spencer, J. Spencer, K. Tsuda, M. Rudelson, M. Rudelson, N. Alon, P. Drineas, R. Ahlswede, R. Bhatia, S. Arora, S. Golden   +19 more
core   +1 more source

Random Time‐Space Coding Metasurfaces for Spatial Control of the Temporal Statistics of Electromagnetic Fields

Advanced Science, EarlyView.
A probabilistic framework based on random time‐space coding metasurfaces enables control of the spatial distribution of electromagnetic fields temporal statistics. By tailoring the marginal and joint distributions of random codes, electromagnetic fields with desired mean and variance patterns are realized, enabling simultaneous transmission and jamming.
Jia Cheng Li, Jiang Han Bao, Che Liu, Tie Jun Cui   +3 more
wiley   +1 more source

Anomalies in the Kepler Asteroseismic Legacy Project Data. A re-analysis of 16 Cyg A&B, KIC8379927 and 6 solar-like stars

, 2017
I compare values of the frequencies, separation ratios, errors and covariance matrices from a new analysis of 9 solar-like stars with the Legacy project values reported by Lund et al and, for 16Cyg A&B and KIC8379927, with values derived by Davies et al.
Roxburgh, Ian W
core   +1 more source

All‐in‐One Underwater Quality Evaluation Metamaterial With Mechanical Robustness, Sound Attenuation, and Diffuse Reflection

Advanced Science, EarlyView.
In this work, a bioinspired all‐in‐one underwater quality evaluation metamaterial, combining sound attenuation, diffuse reflection, and mechanical robustness, is proposed based on jumping spider locomotion and human skeletal biomechanics. Meanwhile, a CNN‑driven quality evaluation framework is established for theoretically dimension‐reduced ...
Hongze Li, Zhenyu Li, Jinshui Yang, Jianhao Wu, Yidan Chen, Linzhi Wu, Hong Hu, Penglin Gao, Yegao Qu   +8 more
wiley   +1 more source

Independence Characterization for Wishart and Kummer Random Matrices

Revstat Statistical Journal, 2020
We generalize the following univariate characterization of the Kummer and Gamma distributions to the cone of symmetric positive definite matrices: let X and Y be independent, non-degenerate random variables valued in (0,∞), then U = Y /(1 +X) and V = X ...
Bartosz Ko lodziejek , Agnieszka Piliszek   +1 more
doaj   +1 more source

Trace functions as Laplace transforms

, 2005
We study trace functions on the form $ t\to\tr f(A+tB) $ where $ f $ is a real function defined on the positive half-line, and $ A $ and $ B $ are matrices such that $ A $ is positive definite and $ B $ is positive semi-definite. If $ f $ is non-negative
Araki H., Frank Hansen, Hansen F., Nielsen H. P., Widom H.   +4 more
core   +1 more source

Fundamental Challenges, Physical Implementations, and Integration Strategies for Ising Machines in Large‐Scale Optimization Tasks

Advanced Electronic Materials, EarlyView.
Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
wiley   +1 more source

Positive Definite Matrices and Catalan Numbers, Revisited [PDF]

Proceedings of the American Mathematical Society, 1984
In this note a combinatorial correspondence is used to prove that the number of positive definite, tridiagonal, integral matrices of determinant 1 whose sub and super diagonals consist solely of ones is C n = ( n 2 n
openaire   +1 more source