The Equation of Knowledge: From Bayes’ Rule to a Unified Philosophy of ScienceLê NguyênHoang, 2020. CRC Press, Boca Raton xii + 460 pp., ISBN 9780367428150

2021 ◽  
Author(s):  
Simon French
Keyword(s):  
Bayes Rule

Probability

2017 ◽  
Author(s):  
Andrew Gelman ◽  
Deborah Nolan
Keyword(s):  
Conditional Probability ◽  
Bayes Rule ◽  
Probability Models ◽  
Classroom Activities ◽  
Basic Probability

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.

Why do biased heuristics approximate Bayes rule in double auctions?

2001 ◽  
Vol 46 (4) ◽  
pp. 431-435 ◽  
Author(s):  
Karim Jamal ◽  
Shyam Sunder
Keyword(s):  
Bayes Rule ◽  
Double Auctions

scholarly journals Comprehensive database of human E3 ubiquitin ligases: application to aquaporin-2 regulation

2016 ◽  
Vol 48 (7) ◽  
pp. 502-512 ◽  
Author(s):  
Barbara Medvar ◽  
Viswanathan Raghuram ◽  
Trairak Pisitkun ◽  
Abhijit Sarkar ◽  
Mark A. Knepper
Keyword(s):  
Human Genome ◽  
Large Scale ◽  
E3 Ligase ◽  
Ubiquitin Ligases ◽  
Bayes Rule ◽  
E3 Ubiquitin Ligases ◽  
E3 Ligases ◽  
Aquaporin 2 ◽  
Large Scale Data ◽  
Level Data

Aquaporin-2 (AQP2) is regulated in part via vasopressin-mediated changes in protein half-life that are in turn dependent on AQP2 ubiquitination. Here we addressed the question, “What E3 ubiquitin ligase is most likely to be responsible for AQP2 ubiquitination?” using large-scale data integration based on Bayes' rule. The first step was to bioinformatically identify all E3 ligase genes coded by the human genome. The 377 E3 ubiquitin ligases identified in the human genome, consisting predominant of HECT, RING, and U-box proteins, have been used to create a publically accessible and downloadable online database ( https://hpcwebapps.cit.nih.gov/ESBL/Database/E3-ligases/ ). We also curated a second database of E3 ligase accessory proteins that included BTB domain proteins, cullins, SOCS-box proteins, and F-box proteins. Using Bayes' theorem to integrate information from multiple large-scale proteomic and transcriptomic datasets, we ranked these 377 E3 ligases with respect to their probability of interaction with AQP2. Application of Bayes' rule identified the E3 ligases most likely to interact with AQP2 as (in order of probability): NEDD4 and NEDD4L (tied for first), AMFR, STUB1, ITCH, ZFPL1. Significantly, the two E3 ligases tied for top rank have also been studied extensively in the reductionist literature as regulatory proteins in renal tubule epithelia. The concordance of conclusions from reductionist and systems-level data provides strong motivation for further studies of the roles of NEDD4 and NEDD4L in the regulation of AQP2 protein turnover.

An axiomatic characterization of Bayes' Rule

2004 ◽  
Vol 47 (3) ◽  
pp. 261-273 ◽  
Author(s):  
Dipjyoti Majumdar
Keyword(s):  
Axiomatic Characterization ◽  
Bayes Rule

A Generalized Bayes Rule for Prediction

1999 ◽  
Vol 26 (2) ◽  
pp. 265-279 ◽  
Author(s):  
Jose Manuel Corcuera ◽  
Federica Giummole
Keyword(s):  
Bayes Rule ◽  
Generalized Bayes

Bayes Rule

2013 ◽  
pp. 112-112
Keyword(s):  
Bayes Rule

Bayes’ Rule

2018 ◽  
pp. 15-22
Author(s):  
Alan Jessop
Keyword(s):  
Bayes Rule
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