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Constrained spectral clustering is an important area with many applications. However, most previous work has only been applied to relatively small data sets: graphs with thousands of points. This prevents this work from being applied to the large data sets found in application domains such as medical imaging and document data. Recent work on constrained and unconstrained spectral clustering has explored...
This paper studies the average consensus problem for a discrete-time multi-agent system with first-order dynamics, we provide the sufficient and necessary stable condition that the step-size needs to satisfy for the multi-agent systems with an iterative method, and the cause of oscillation is investigated with use of matrix diagonal and eigenvalue analysis method. Some conclusions about the largest...
We study streaming principal component analysis (PCA), that is to find, in O(dk) space, the top k eigenvectors of a d× d hidden matrix \bold \Sigma with online vectors drawn from covariance matrix \bold \Sigma.We provide global convergence for Ojas algorithm which is popularly used in practice but lacks theoretical understanding for k≈1. We also provide a modified variant \mathsf{Oja}^{++}...
This paper studies the consensus problem in second-order multi-agent systems. For the first time, an event-triggered impulsive consensus control scheme is proposed to solve this problem. Under the event-triggered impulsive consensus control scheme, a distributed event-condition is defined in advance for each agent and the impulsive control is taken only when such condition satisfies, and no any actions...
We show that high dimensional expanders imply derandomized direct product tests, with a number of subsets that is linear in the size of the universe.Direct product tests belong to a family of tests called agreement tests that are important components in PCP constructions and include, for example, low degree tests such as line vs. line and plane vs. plane.For a generic hypergraph, we introduce the...
Finite-time consensus of heterogeneous multi-agent system (MAS) with external disturbances is investigated in this paper. Distributed control algorithm is designed for the agents described by leaderless MAS. It can be shown that the state errors of any two agents reach a region in finite time with external disturbances by using Lyapunov stability analysis and algebraic graph theory. At last, one example...
This paper provides a review of some main works and research progress in distributed optimal consensus problems of multi-agent systems. Classical and common methods in this area are summarized, such as Riccati design, adaptive dynamic programming and inverse optimal control. This paper detailedly addresses the design schemes of optimal consensus protocols by reviewing several typical literatures....
The method for extracting natural vibration frequencies and modes of design models arising when the finite element method is applied to the problems of structural and solid mechanics is proposed. This approach is intended to be used on multicore SMP computers and is an alternative to the conventional block Lanczos and subspace iteration methods widely used in modern FEA software. We present the main...
Multiview canonical correlation analysis (MCCA) is an effective tool for analyzing the relationships among group- aligned multidimensional samples, which has been applied to the fields of pattern recognition and computer vision. In MCCA, its first-stage canonical variables are solved by a multivariate eigenvalue problem that can be computed by Horst method. However, how to use the algorithm for effectively...
This paper considers the optimal energy generation problem for hierarchical system, which consists of multi-cluster power system. In particular, consensus-based distributed hierarchical coordination algorithm is proposed to meet the power generation/demand balance. By using Lagrangian-based approach, we show that the optimization problem for the hierarchical system can be separated into each layer's...
This paper describes numerical solving of the Laplace operator's eigenvalue problem for domain with space periodic boundaries, based on the Method of Auxiliary Sources (MAS) and with a lossy medium model. It discusses space periodic green function's representation in different sum and their convergence properties. A lossy medium model in the MAS is analyzed and assessed its applicability solveing...
This paper presents a new model order selection technique for signal processing applications related to source localization or subspace orthogonal projection techniques in large dimensional regime (Random Matrix Theory) when the noise environment is Complex Elliptically Symmetric (CES) distributed, with unknown scatter matrix. The proposed method consists first in estimating the Toeplitz structure...
This paper proposes a new Newton-based adaptive filtering algorithm, namely the Quasi-Newton Least-Mean Fourth (QNLMF) algorithm. The main goal is to have a higher order adaptive filter that usually fits the non-Gaussian signals with an improved performance behavior, which is achieved using the Newton numerical method. Both the convergence analysis and the steady-state performance analysis are derived...
In this paper, the eigenvalue problem for self-adjoint linear Hamiltonian systems with nonlinear dependence on the spectral parameter and parameter dependent boundary conditions is considered. A Newton-type iterative solution method is presented. The method has a quadratic convergence and provides a two-sided estimate of the eigenvalue. With the help of this technique the boundary control problem...
This paper presents a distributed algorithm to solve an economic dispatch problem, which takes the form of a linearly-constrained resource allocation problem. Distributed gradient-based methods are commonly used to solve problems of this form, which inherit slow convergence. The Newton method is a centralized alternative which uses second-order information to provide faster convergence. However, computing...
The spherical-multipole expansion of an inhomogeneous electromagnetic plane wave is derived by extending the spherical source coordinates v to a complex number. The analytical results are successfully validated by comparing the numerical evaluation of the multipole expansion with the corresponding closed-form results. The paper also contains a first result for an inhomogeneous plane electromagnetic...
We present the theory of sequences of random graphs and their convergence to limit objects. Sequences of random dense graphs are shown to converge to their limit objects in both their structural properties and their spectra. The limit objects are bounded symmetric functions on [0,1]2. The kernel functions define an equivalence class and thus identify collections of large random graphs who are spectrally...
This paper studies the consensus problem of a first-order multi-agent system by using event-based strategy. For each agent, both of the control law and the triggering function utilize estimated combinational measurement, which is calculated based on the combinational measurement that sampled at the agent's event instant. The distributed triggering function is developed to compute these instants. Only...
Distributed formation control of Unmanned Aerial Vehicle (UAV) in three-dimensional space is discussed in this paper. In order to achieve a faster consensus seeking, a consensus-based cooperative formation control strategy with the tow-hop relay protocol is proposed. UAV's nonlinear kinetic model is transformed into linear model by feedback linearization and the original control inputs are also transformed...
The standard Iterative Closest Point (ICP) algorithm is a robust and efficient rigid registration algorithm for 3D point clouds. Nevertheless, its efficiency notably decreases when applied to a large transformation cases. In order to avoid this drawback and improve its performance, we propose a new 3-step approach based on ICP and point Cloud Projection, called ICP- CP, that both enhances the accuracy...
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