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Graphical Models - Inference -

MINVOLSET. KINKEDTUBE. PULMEMBOLUS. INTUBATION. VENTMACH. DISCONNECT. PAP. SHUNT. VENTLUNG. VENITUBE. PRESS. MINOVL. FIO2. VENTALV. PVSAT. ANAPHYLAXIS. ARTCO2. EXPCO2. SAO2. TPR. INSUFFANESTH. HYPOVOLEMIA. LVFAILURE. CATECHOL. LVEDVOLUME. STROEVOLUME. ERRCAUTER. HR.

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Graphical Models - Inference -

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  1. MINVOLSET KINKEDTUBE PULMEMBOLUS INTUBATION VENTMACH DISCONNECT PAP SHUNT VENTLUNG VENITUBE PRESS MINOVL FIO2 VENTALV PVSAT ANAPHYLAXIS ARTCO2 EXPCO2 SAO2 TPR INSUFFANESTH HYPOVOLEMIA LVFAILURE CATECHOL LVEDVOLUME STROEVOLUME ERRCAUTER HR ERRBLOWOUTPUT HISTORY CO CVP PCWP HREKG HRSAT HRBP BP Mainly based on F. V. Jensen, „Bayesian Networks and Decision Graphs“, Springer-Verlag New York, 2001. Advanced IWS 06/07 Graphical Models- Inference - Most Probable Explanation Wolfram Burgard, Luc De Raedt, Kristian Kersting, Bernhard Nebel Albert-Ludwigs University Freiburg, Germany

  2. Outline • Introduction • Reminder: Probability theory • Basics of Bayesian Networks • Modeling Bayesian networks • Inference (VE, Junction tree,MPE) • Excourse: Markov Networks • Learning Bayesian networks • Relational Models

  3. Elimination operator factor B: P(b|a) P(d|b,a) P(e|b,c) B facotr C: P(c|a) C factor D: D factor E: e=0 E factor A: P(a) A P(a|e=0) VE, Bucket elimination [Dechter ‘96] - Inference (MPE)

  4. factor B: P(b|a) P(d|b,a) P(e|b,c) B factor C: P(c|a) C factor D: D factor E: e=0 E P(a) factor A: A MPE Finding MPE [Dechter ‘96] Elimination operator - Inference (MPE)

  5. B: P(b|a) P(d|b,a) P(e|b,c) C: P(c|a) D: E: e=0 A: P(a) Generating the MPE-tuple - Inference (MPE)

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