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Abstract

Novel new, interesting mathematics. Explore active areas of research in applied mathematics and topics in linear and matrix algebra. Reviews and surveys, taxonomies. Approximate and exact solution, bootstrap sample, clustering, constrained optimization, convex optimization, dimension reduction, eigensolver, high dimension solution, image classification, fault detection, fault detection and sensors, fuzzy logic, fuzzy programming, fast algorithm, forecasting with predictive model, hierarchical tree, image analysis, image and vision, image classification, iterative control, linear matrix inequality, linear programming, machine learning, massively parallel, neural net, parameter estimation, parameters linear and nonlinear, parameter uncertainty, pattern analysis, periodic solutions, predictive model for control, principal component analysis, sentiment detection, rank, slow fast decomposition, time interval, statistics, variable detection, variable selection, variance, variance and covariance.
2017 Novel linear matrix
Stephen Cox
Abstract
2017 Novel linear matrix reading list by Stephen Cox, 2017 Math and science reading list vol 3 maths and various. Novel new,
interesting mathematics. Explore active areas of research in applied mathematics and topics in linear and matrix algebra. Re-
views and surveys, taxonomies. Approximate and exact solution, bootstrap sample, clustering, constrained optimization, convex
optimization, dimension reduction, eigensolver, high dimension solution, image classification, fault detection, fault detection and
sensors, fuzzy logic, fuzzy programming, fast algorithm, forecasting with predictive model, hierarchical tree, image analysis, im-
age and vision, image classification, iterative control, linear matrix inequality, linear programming, machine learning, massively
parallel, neural net, parameter estimation, parameters linear and nonlinear, parameter uncertainty, pattern analysis, periodic
solutions, predictive model for control, principal component analysis, sentiment detection, rank, slow-fast decomposition, time
interval, statistics, variable detection, variable selection, variance, variance and covariance.
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Article
Classification of the pixels in hyperspectral image (HSI) is an important task and has been popularly applied in many practical applications. Its major challenge is the high-dimensional small-sized problem. To deal with this problem, lots of subspace learning (SL) methods are developed to reduce the dimension of the pixels while preserving the important discriminant information. Motivated by ridge linear regression (RLR) framework for SL, we propose a spectral-spatial shared linear regression method (SSSLR) for extracting the feature representation. Comparing with RLR, our proposed SSSLR has the following two advantages. First, we utilize a convex set to explore the spatial structure for computing the linear projection matrix. Second, we utilize a shared structure learning model, which is formed by original data space and a hidden feature space, to learn a more discriminant linear projection matrix for classification. To optimize our proposed method, an efficient iterative algorithm is proposed. Experimental results on two popular HSI data sets, i.e., Indian Pines and Salinas demonstrate that our proposed methods outperform many SL methods.
Article
We present a novel algorithm to perform the Hessenberg reduction of an n×nn\times n matrix A of the form A=D+UVA = D + UV^* where D is diagonal with real entries and U and V are n×kn\times k matrices with knk\le n. The algorithm has a cost of O(n2k)O(n^2k) arithmetic operations and is based on the quasiseparable matrix technology. Applications are shown to solving polynomial eigenvalue problems and some numerical experiments are reported in order to analyze the stability of the approach
Robust pole assignment using velocity-acceleration feedback for second-order dynamical systems with singular mass matrix, THS Abdelaziz -ISA transactions, 2015 -Elsevier Robust spiked random matrices and a robust G-MUSIC estimator
  • Z Xu
  • Y Zhao
  • Yang
  • . . . Shao
Robust iterative learning control with quadratic performance index, Z Xu, J Zhao, Y Yang, Z Shao... -Industrial & engineering..., 2012 -ACS Publications Robust maximum power tracking control of uncertain photovoltaic systems: A unified TS fuzzy model-based approach, CS Chiu, YL Ouyang -IEEE Transactions on Control Systems..., 2011 -ieeexplore.ieee.org Robust output-feedback model predictive control for systems with unstructured uncertainty, C Lovaas, MM Seron, GC Goodwin -Automatica, 2008 -Elsevier Robust pole assignment using velocity-acceleration feedback for second-order dynamical systems with singular mass matrix, THS Abdelaziz -ISA transactions, 2015 -Elsevier Robust spiked random matrices and a robust G-MUSIC estimator, R Couillet -Journal of Multivariate Analysis, 2015 -Elsevier Robust stability of stochastic fuzzy impulsive recurrent neural networks with time-varying delays, M Syed Ali -Iranian Journal of Fuzzy Systems, 2014 -ijfs.usb.ac.ir
-Springer Robust stabilization of linear discrete-time systems with time-varying input delay, A Gonzalez -Automatica, 2013 -Elsevier Robust static output feedback control synthesis for linear continuous systems with polytopic uncertainties
Robust stability of stochastic uncertain recurrent neural networks with Markovian jumping parameters and time-varying delays, M Syed Ali -International Journal of Machine Learning and..., 2014 -Springer Robust stabilization of linear discrete-time systems with time-varying input delay, A Gonzalez -Automatica, 2013 -Elsevier Robust static output feedback control synthesis for linear continuous systems with polytopic uncertainties, J Dong, GH Yang -Automatica, 2013 -Elsevier Robust switching-type H[?] filter design for linear uncertain systems with time-varying delay, D Ye, GH Yang -Information Sciences, 2011 -Elsevier
-Wiley Online Library Sensitivity and Hessian matrix analysis of structural reliability for uniformly modulated random seismic response, Q Liu
  • Te Alqado
  • Nikolakopoulos
Semi-active control of flexible structures using closed-loop input shaping techniques, TE Alqado, G Nikolakopoulos... -Structural Control and..., 2016 -Wiley Online Library Sensitivity and Hessian matrix analysis of structural reliability for uniformly modulated random seismic response, Q Liu, J Paavola -Mechanics Research Communications, 2014 -Elsevier Set Point and Trajectory Tracking of Constrained Systems in Takagi-Sugeno Form, KJ Diepold -2016 -mediatum.ub.tum.de
Tensor Product Model Transformation Based Control and Synchronization of a Class of Fractional-Order Chaotic Systems
Tensor Product Model Transformation Based Control and Synchronization of a Class of Fractional-Order Chaotic Systems, S Kuntanapreeda -Asian Journal of Control, 2015 -Wiley Online Library
Robust pole assignment using velocity-acceleration feedback for second-order dynamical systems with singular mass matrix
  • C Lovaas
  • Seron
  • Gc Goodwin -Automatica
Robust output-feedback model predictive control for systems with unstructured uncertainty, C Lovaas, MM Seron, GC Goodwin -Automatica, 2008 -Elsevier Robust pole assignment using velocity-acceleration feedback for second-order dynamical systems with singular mass matrix, THS Abdelaziz -ISA transactions, 2015 -Elsevier Robust spiked random matrices and a robust G-MUSIC estimator, R Couillet -Journal of Multivariate Analysis, 2015 -Elsevier Robust stability of stochastic fuzzy impulsive recurrent neural networks with time-varying delays, M Syed Ali -Iranian Journal of Fuzzy Systems, 2014 -ijfs.usb.ac.ir