Mixed probability models for dry and wet spells

2009 ◽  
Vol 6 (3) ◽  
pp. 290-303 ◽  
Author(s):  
Sayang Mohd Deni ◽  
Abdul Aziz Jemain ◽  
Kamarulzaman Ibrahim
2009 ◽  
Vol 30 (8) ◽  
pp. 1194-1205 ◽  
Author(s):  
Sayang Mohd Deni ◽  
Abdul Aziz Jemain ◽  
Kamarulzaman Ibrahim

Author(s):  
Z. Zhong ◽  
M. Mehltretter

Abstract. The ability to identify erroneous depth estimates is of fundamental interest. Information regarding the aleatoric uncertainty of depth estimates can be, for example, used to support the process of depth reconstruction itself. Consequently, various methods for the estimation of aleatoric uncertainty in the context of dense stereo matching have been presented in recent years, with deep learning-based approaches being particularly popular. Among these deep learning-based methods, probabilistic strategies are increasingly attracting interest, because the estimated uncertainty can be quantified in pixels or in metric units due to the consideration of real error distributions. However, existing probabilistic methods usually assume a unimodal distribution to describe the error distribution while simply neglecting cases in real-world scenarios that could violate this assumption. To overcome this limitation, we propose two novel mixed probability models consisting of Laplacian and Uniform distributions for the task of aleatoric uncertainty estimation. In this way, we explicitly address commonly challenging regions in the context of dense stereo matching and outlier measurements, respectively. To allow a fair comparison, we adapt a common neural network architecture to investigate the effects of the different uncertainty models. In an extensive evaluation using two datasets and two common dense stereo matching methods, the proposed methods demonstrate state-of-the-art accuracy.


1997 ◽  
Vol 48 (8) ◽  
pp. 848-848
Author(s):  
A C Borthakur ◽  
H Choudhury (Eds.)
Keyword(s):  

Informatica ◽  
2016 ◽  
Vol 27 (2) ◽  
pp. 323-334 ◽  
Author(s):  
James M. Calvin

Author(s):  
Andrew Gelman ◽  
Deborah Nolan

This chapter contains many classroom activities and demonstrations to help students understand basic probability calculations, including conditional probability and Bayes rule. Many of the activities alert students to misconceptions about randomness. They create dramatic settings where the instructor discerns real coin flips from fake ones, students modify dice and coins in order to load them, students “accused” of lying based on the outcome of an inaccurate simulated lie detector face their classmates. Additionally, probability models of real outcomes offer good value: first we can do the probability calculations, and then can go back and discuss the potential flaws of the model.


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