Bayesian Inference by Program Verification - Joost-Pieter Katoen, RWTH Aachen University

Bayesian Inference by Program Verification - Joost-Pieter Katoen, RWTH Aachen University

Alan Turing Institute via YouTube Direct link

Asymmetric-in-the-limit random walk

21 of 29

21 of 29

Asymmetric-in-the-limit random walk

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Bayesian Inference by Program Verification - Joost-Pieter Katoen, RWTH Aachen University

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  1. 1 Intro
  2. 2 nature Perspective
  3. 3 Probabilistic graphical models
  4. 4 Student's mood after an exam
  5. 5 Applications
  6. 6 Probabilistic GCL
  7. 7 Let's start simple
  8. 8 A loopy program For
  9. 9 Weakest pre-expectations
  10. 10 Examples
  11. 11 An operational perspective
  12. 12 Bayesian inference by program verification
  13. 13 Example: sampling within a circle
  14. 14 Weakest precondition of id-loops
  15. 15 Bayesian networks as programs
  16. 16 Soundness
  17. 17 Exact inference by wp-reasoning
  18. 18 Termination proofs: the classical case
  19. 19 Proving almost-sure termination
  20. 20 The symmetric random walk
  21. 21 Asymmetric-in-the-limit random walk
  22. 22 Positive almost-sure termination
  23. 23 Run-time invariant synthesis
  24. 24 Coupon collector's problem
  25. 25 Sampling time for example BN
  26. 26 The student's mood example
  27. 27 Experimental results
  28. 28 Printer troubleshooting in Windows 95
  29. 29 Predictive probabilistic programming

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