Relating High-Dimensional Structural Networks to Resting Functional Connectivity with Sparse Canonical Correlation Analysis for Neuroimaging

2018 ◽  
pp. 89-104 ◽  
Author(s):  
Brian B. Avants
2020 ◽  
Vol 2 (3) ◽  
pp. 192-208
Author(s):  
Shixiang Chen ◽  
Shiqian Ma ◽  
Lingzhou Xue ◽  
Hui Zou

Sparse principal component analysis and sparse canonical correlation analysis are two essential techniques from high-dimensional statistics and machine learning for analyzing large-scale data. Both problems can be formulated as an optimization problem with nonsmooth objective and nonconvex constraints. Because nonsmoothness and nonconvexity bring numerical difficulties, most algorithms suggested in the literature either solve some relaxations of them or are heuristic and lack convergence guarantees. In this paper, we propose a new alternating manifold proximal gradient method to solve these two high-dimensional problems and provide a unified convergence analysis. Numerical experimental results are reported to demonstrate the advantages of our algorithm.


Processes ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 259
Author(s):  
Qilan Ran ◽  
Yedong Song ◽  
Wenli Du ◽  
Wei Du ◽  
Xin Peng

In order to reduce pollutants of the emission from diesel vehicles, complex after-treatment technologies have been proposed, which make the fault detection of diesel engines become increasingly difficult. Thus, this paper proposes a canonical correlation analysis detection method based on fault-relevant variables selected by an elitist genetic algorithm to realize high-dimensional data-driven faults detection of diesel engines. The method proposed establishes a fault detection model by the actual operation data to overcome the limitations of the traditional methods, merely based on benchmark. Moreover, the canonical correlation analysis is used to extract the strong correlation between variables, which constructs the residual vector to realize the fault detection of the diesel engine air and after-treatment system. In particular, the elitist genetic algorithm is used to optimize the fault-relevant variables to reduce detection redundancy, eliminate additional noise interference, and improve the detection rate of the specific fault. The experiments are carried out by implementing the practical state data of a diesel engine, which show the feasibility and efficiency of the proposed approach.


PLoS ONE ◽  
2020 ◽  
Vol 15 (8) ◽  
pp. e0237511 ◽  
Author(s):  
Hyebin Lee ◽  
Bo-yong Park ◽  
Kyoungseob Byeon ◽  
Ji Hye Won ◽  
Mansu Kim ◽  
...  

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