scholarly journals High dimensional semiparametric latent graphical model for mixed data

Author(s):  
Jianqing Fan ◽  
Han Liu ◽  
Yang Ning ◽  
Hui Zou
2017 ◽  
Vol 36 (28) ◽  
pp. 4548-4569 ◽  
Author(s):  
D. McParland ◽  
C. M. Phillips ◽  
L. Brennan ◽  
H. M. Roche ◽  
I. C. Gormley

2021 ◽  
Author(s):  
Petros Barmpas ◽  
Sotiris Tasoulis ◽  
Aristidis G. Vrahatis ◽  
Panagiotis Anagnostou ◽  
Spiros Georgakopoulos ◽  
...  

1AbstractRecent technological advancements in various domains, such as the biomedical and health, offer a plethora of big data for analysis. Part of this data pool is the experimental studies that record various and several features for each instance. It creates datasets having very high dimensionality with mixed data types, with both numerical and categorical variables. On the other hand, unsupervised learning has shown to be able to assist in high-dimensional data, allowing the discovery of unknown patterns through clustering, visualization, dimensionality reduction, and in some cases, their combination. This work highlights unsupervised learning methodologies for large-scale, high-dimensional data, providing the potential of a unified framework that combines the knowledge retrieved from clustering and visualization. The main purpose is to uncover hidden patterns in a high-dimensional mixed dataset, which we achieve through our application in a complex, real-world dataset. The experimental analysis indicates the existence of notable information exposing the usefulness of the utilized methodological framework for similar high-dimensional and mixed, real-world applications.


2010 ◽  
Vol 37 (1) ◽  
Author(s):  
Gabriel C. G. Abreu ◽  
David Edwards ◽  
Rodrigo Labouriau

2017 ◽  
Vol 113 ◽  
pp. 457-474 ◽  
Author(s):  
Yong He ◽  
Xinsheng Zhang ◽  
Pingping Wang ◽  
Liwen Zhang

2019 ◽  
Vol 31 (6) ◽  
pp. 1183-1214 ◽  
Author(s):  
Suwa Xu ◽  
Bochao Jia ◽  
Faming Liang

Bayesian networks have been widely used in many scientific fields for describing the conditional independence relationships for a large set of random variables. This letter proposes a novel algorithm, the so-called p-learning algorithm, for learning moral graphs for high-dimensional Bayesian networks. The moral graph is a Markov network representation of the Bayesian network and also the key to construction of the Bayesian network for constraint-based algorithms. The consistency of the p-learning algorithm is justified under the small- n, large- p scenario. The numerical results indicate that the p-learning algorithm significantly outperforms the existing ones, such as the PC, grow-shrink, incremental association, semi-interleaved hiton, hill-climbing, and max-min hill-climbing. Under the sparsity assumption, the p-learning algorithm has a computational complexity of O(p2) even in the worst case, while the existing algorithms have a computational complexity of O(p3) in the worst case.


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