Bayesian Methods for Hackers
by Cameron Davidson-Pilon
2020-07-11 00:41:45
Bayesian Methods for Hackers
by Cameron Davidson-Pilon
2020-07-11 00:41:45
Master Bayesian Inference through Practical Examples and ComputationâWithout Advanced Mathematical Analysis Bayesian methods of inference are deeply natural and extremely powerful. However, most discussions of Bayesian inference rely on i...
Read more
Master Bayesian Inference through Practical Examples and ComputationâWithout Advanced Mathematical Analysis Bayesian methods of inference are deeply natural and extremely powerful. However, most discussions of Bayesian inference rely on intensely complex mathematical analyses and artificial examples, making it inaccessible to anyone without a strong mathematical background. Now, though, Cameron Davidson-Pilon introduces Bayesian inference from a computational perspective, bridging theory to practiceâfreeing you to get results using computing power. Bayesian Methods for Hackers illuminates Bayesian inference through probabilistic programming with the powerful PyMC language and the closely related Python tools NumPy, SciPy, and Matplotlib. Using this approach, you can reach effective solutions in small increments, without extensive mathematical intervention. Davidson-Pilon begins by introducing the concepts underlying Bayesian inference, comparing it with other techniques and guiding you through building and training your first Bayesian model. Next, he introduces PyMC through a series of detailed examples and intuitive explanations that have been refined after extensive user feedback. Youâll learn how to use the Markov Chain Monte Carlo algorithm, choose appropriate sample sizes and priors, work with loss functions, and apply Bayesian inference in domains ranging from finance to marketing. Once youâve mastered these techniques, youâll constantly turn to this guide for the working PyMC code you need to jumpstart future projects. Coverage includes ⢠Learning the Bayesian âstate of mindâ and its practical implications ⢠Understanding how computers perform Bayesian inference ⢠Using the PyMC Python library to program Bayesian analyses ⢠Building and debugging models with PyMC ⢠Testing your modelâs âgoodness of fitâ ⢠Opening the âblack boxâ of the Markov Chain Monte Carlo algorithm to see how and why it works ⢠Leveraging the power of the âLaw of Large Numbersâ ⢠Mastering key concepts, such as clustering, convergence, autocorrelation, and thinning ⢠Using loss functions to measure an estimateâs weaknesses based on your goals and desired outcomes ⢠Selecting appropriate priors and understanding how their influence changes with dataset size ⢠Overcoming the âexploration versus exploitationâ dilemma: deciding when âpretty goodâ is good enough ⢠Using Bayesian inference to improve A/B testing ⢠Solving data science problems when only small amounts of data are available Cameron Davidson-Pilon has worked in many areas of applied mathematics, from the evolutionary dynamics of genes and diseases to stochastic modeling of financial prices. His contributions to the open source community include lifelines, an implementation of survival analysis in Python. Educated at the University of Waterloo and at the Independent University of Moscow, he currently works with the online commerce leader Shopify.
Less