
#135 Bayesian Calibration and Model Checking, with Teemu Säilynoja
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このコンテンツについて
Proudly sponsored by PyMC Labs, the Bayesian Consultancy. Book a call, or get in touch!
- Intro to Bayes Course (first 2 lessons free)
- Advanced Regression Course (first 2 lessons free)
Our theme music is « Good Bayesian », by Baba Brinkman (feat MC Lars and Mega Ran). Check out his awesome work!
Visit our Patreon page to unlock exclusive Bayesian swag ;)
Takeaways:
- Teemu focuses on calibration assessments and predictive checking in Bayesian workflows.
- Simulation-based calibration (SBC) checks model implementation
- SBC involves drawing realizations from prior and generating prior predictive data.
- Visual predictive checking is crucial for assessing model predictions.
- Prior predictive checks should be done before looking at data.
- Posterior SBC focuses on the area of parameter space most relevant to the data.
- Challenges in SBC include inference time.
- Visualizations complement numerical metrics in Bayesian modeling.
- Amortized Bayesian inference benefits from SBC for quick posterior checks. The calibration of Bayesian models is more intuitive than Frequentist models.
- Choosing the right visualization depends on data characteristics.
- Using multiple visualization methods can reveal different insights.
- Visualizations should be viewed as models of the data.
- Goodness of fit tests can enhance visualization accuracy.
- Uncertainty visualization is crucial but often overlooked.
Chapters:
09:53 Understanding Simulation-Based Calibration (SBC)
15:03 Practical Applications of SBC in Bayesian Modeling
22:19 Challenges in Developing Posterior SBC
29:41 The Role of SBC in Amortized Bayesian Inference
33:47 The Importance of Visual Predictive Checking
36:50 Predictive Checking and Model Fitting
38:08 The Importance of Visual Checks
40:54 Choosing Visualization Types
49:06 Visualizations as Models
55:02 Uncertainty Visualization in Bayesian Modeling
01:00:05 Future Trends in Probabilistic Modeling
Thank you to my Patrons for making this episode possible!
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