scholarly journals A Bayesian nonparametric approach to the approximation of the global stable manifold

2019 ◽  
Vol 29 (12) ◽  
pp. 123123
Author(s):  
Spyridon J. Hatjispyros ◽  
Konstantinos Kaloudis
Author(s):  
Grace Ashley ◽  
Nii Attoh-Okine

Every year, the U.S. government provides several billions of dollars in the form of federal funding for transportation services in the U.S.A. Decision making with regard to the use of these funds largely depends on performance indicators like average annual daily traffic (AADT). In this paper, Bayesian nonparametric models are developed through machine learning for the estimation of AADT on bridges. The effect of hyperparameter choice on the accuracy of estimations produced by Bayesian nonparametric models is also assessed. The predictions produced using the Bayesian nonparametric approach are then compared with predictions from a popular Frequentist approach for the selected bridges. Evaluation metrics like the mean absolute percentage error are subsequently employed in model evaluation. Based on the results, the best methods for AADT forecasting for the selected bridges are recommended.


2019 ◽  
Author(s):  
Melanie F. Pradier ◽  
Stephanie L. Hyland ◽  
Stefan G. Stark ◽  
Kjong Lehmann ◽  
Julia E. Vogt ◽  
...  

AbstractMotivationPersonalized medicine aims at combining genetic, clinical, and environmental data to improve medical diagnosis and disease treatment, tailored to each patient. This paper presents a Bayesian nonparametric (BNP) approach to identify genetic associations with clinical/environmental features in cancer. We propose an unsupervised approach to generate data-driven hypotheses and bring potentially novel insights about cancer biology. Our model combines somatic mutation information at gene-level with features extracted from the Electronic Health Record. We propose a hierarchical approach, the hierarchical Poisson factor analysis (H-PFA) model, to share information across patients having different types of cancer. To discover statistically significant associations, we combine Bayesian modeling with bootstrapping techniques and correct for multiple hypothesis testing.ResultsUsing our approach, we empirically demonstrate that we can recover well-known associations in cancer literature. We compare the results of H-PFA with two other classical methods in the field: case-control (CC) setups, and linear mixed models (LMMs).


Author(s):  
Gungor Polatkan ◽  
Mingyuan Zhou ◽  
Lawrence Carin ◽  
David Blei ◽  
Ingrid Daubechies

Sign in / Sign up

Export Citation Format

Share Document