Results 91 to 100 of about 429,197 (329)
Riemannian Geometry for the Classification of Brain States with Intracortical Brain Recordings
Advanced Intelligent Systems, EarlyView.Geometric machine learning is applied to decode brain states from invasive intracortical neural recordings, extending Riemannian methods to the invasive regime where data is scarcer and less stationary. A Minimum Distance to Mean classifier on covariance manifolds uses geodesic distances to outperform convolutional neural networks while reducing ...
Arnau Marin‐Llobet +9 more
wiley +1 more source
Positive-Definite Matrix Processes of Finite Variation
, 2006 Processes of finite variation, which take values in the positive semidefinite matrices and are representable as the sum of an integral with respect to time and one with respect to an extended Poisson random measure, are considered. For such processes we derive conditions for the square root (and the r-th power with 0 < r < 1) to be of finite ...
Barndorff-Nielsen, Ole Eiler +1 more
openaire +4 more sources
Iterative Algorithm for Solving a System of Nonlinear Matrix Equations
Journal of Applied Mathematics, 2012 We discuss the positive definite solutions for the system of nonlinear matrix equations and , where , are two positive integers. Some properties of solutions are studied, and the necessary and sufficient conditions for the existence of positive ...
Asmaa M. Al-Dubiban
doaj +1 more source
On a Nontrivial Situation Concerning the Pseudounitary Eigenvalues of a Positive Definite Matrix [PDF]
, 2023 Х. Д. Икрамов
openalex +1 more source
Elastic Fast Marching Learning from Demonstration
Advanced Intelligent Systems, EarlyView.This article presents Elastic Fast Marching Learning (EFML), a novel approach for learning from demonstration that combines velocity‐based planning with elastic optimization. EFML enables smooth, precise, and adaptable robot trajectories in both position and orientation spaces.
Adrian Prados +3 more
wiley +1 more source
Generalizations of the Kantorovich and Wielandt Inequalities with Applications to Statistics
MathematicsBy 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 +3 more
doaj +1 more source
有关矩阵广义逆的惯性指数及其应用(Inertia formulae related to the generalized inverse with applications)
Zhejiang Daxue xuebao. Lixue ban, 2019 In this paper, firstly, we establish the inertia formulae for some matrix expressions related to the generalized inverse . Then, as applications, based on the derived inertia formulae, we study the definiteness of some matrices.
WUZhongcheng(吴中成) +1 more
doaj +1 more source
Advanced Intelligent Systems, EarlyView.Legged robots have advanced in environmental interaction through contact, but most works rely on fixed contact sequences. This work presents a new method based on an indirect optimization method for legged robots to automatically generate contact sequences for complex movements.
Yaowei Chen, Jie Zhang, Ming Lyu
wiley +1 more source
Piecewise Certificates of Positivity for matrix polynomials
, 2010 We show that any symmetric positive definite homogeneous matrix polynomial $M\in\R[x_1,...,x_n]^{m\times m}$ admits a piecewise semi-certificate, i.e. a collection of identites $M(x)=\sum_jf_{i,j}(x)U_{i,j}(x)^TU_{i,j}(x)$ where $U_{i,j}(x)$ is a matrix ...
Quarez, Ronan
core +2 more sources