Results 101 to 110 of about 564,115 (361)
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
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
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
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
Message-Passing Algorithms for Quadratic Minimization
, 2012 Gaussian belief propagation (GaBP) is an iterative algorithm for computing the mean of a multivariate Gaussian distribution, or equivalently, the minimum of a multivariate positive definite quadratic function.
Ruozzi, Nicholas, Tatikonda, Sekhar
core
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
On the Solution of the Rational Matrix Equation X=Q+LX−1LT
EURASIP Journal on Advances in Signal Processing, 2007 We study numerical methods for finding the maximal symmetric positive definite solution of the nonlinear matrix equation X=Q+LX−1LT, where Q is symmetric positive definite and L is nonsingular.
Heike Faßbender, Peter Benner
doaj +1 more source
Planning and Control Framework for a Quadruped Robot With Changeable Configuration
Advanced Intelligent Systems, EarlyView.Multiconfiguration quadruped robots enhance adaptability by switching between mammal‐like and reptile‐like morphologies. This study presents a nonlinear constraint‐based motion planner integrated with a hierarchical whole‐body controller, enabling robust configuration switching and locomotion on complex terrains. Experiments on slopes, irregular bricks,
Guanglin Lu +5 more
wiley +1 more source
Advanced Intelligent Systems, EarlyView.During lengthy minimally invasive surgeries, fatigue can cause surgeon tremor and poor endoscopic coordination. This study proposes a robot‐assisted endoscopic adjustment system. It employs a lightweight instrument detection model and a hierarchical multiconstraint controller for visual servoing.
Zijie Yang +5 more
wiley +1 more source