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M. Schramm and W. Ertel. Reasoning with probabilities and maximum entropy: The system PIT and its application in LEXMED. In Symposium on Operations Research 1999, 1999.

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Credal Networks under Maximum Entropy - Lukasiewicz (2000)   (Correct)

....be done by existing maximum entropy software. For example, the system SPIRIT [32] works with point conditionals, and can thus be used to handle incomplete Bayesian networks (that is, interval Bayesian networks that contain only conditionals of the form (djc) r] or (djc) 0; 1] Moreover, PIT [33, 11] also works with interval conditionals, and can thus be used for interval Bayesian networks in their full generality. 4.3.2 General Credal Networks We now generalize the results of Section 4.3.1 to credal networks. The next theorem shows that the sequential ME model can be computed by local ....

M. Schramm and W. Ertel. Reasoning with probabilities and maximum entropy: The system PIT and its application in LEXMED. In Proceedings of the Symposium on Operations Research (SOR '99), 1999.


Credal Networks under Maximum Entropy - Lukasiewicz (2000)   (Correct)

....be done by existing maximum entropy software. For example, the system SPIRIT [33] works with point conditionals, and can thus be used to handle incomplete Bayesian networks (that is, interval Bayesian networks that contain only conditionals of the form (djc) r] or (djc) 0; 1] Moreover, PIT [34, 11] also works with interval conditionals, and can thus be used for interval Bayesian networks in their full generality. 4.3.2 General Credal Networks We now generalize the results of Section 4.3.1 to credal networks. The next theorem shows that the sequential MEmodel can be computed by local ....

M. Schramm and W. Ertel. Reasoning with probabilities and maximum entropy: The system PIT and its application in LEXMED. In Proceedings of the Symposium on Operations Research (SOR '99), 1999.


Combining Data and Knowledge by MaxEnt-Optimization of.. - Ertel, Schramm (1999)   Self-citation (Schramm Ertel)   (Correct)

....of variables. To avoid this effect in the average case, the principles of independence and indifference are used to reduce the complexity of the computations. These two principles are both used in our system Pit (Probability Induction Tool) for a more efficient calculation of the MaxEnt model ([8]) 5 Generating Decisions from Probabilities Once the rule base is constructed, a run of Pit computes the MaxEnt model and any query can be answered by standard probabilistic computations. However, the expected result of reasoning in Lexmed is not a probability but a decision (diagnosis) How are ....

M. Schramm and W. Ertel. Reasoning with Probabilities and Maximum Entropy: The System PIT and its Application in LEXMED. In accepted at: Symposium on Operations Research 1999, 1999.


Query Algebra Operations for Interval Probabilities - Zhao, Dekhtyar, Goldsmith   (Correct)

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M. Schramm and W. Ertel. Reasoning with probabilities and maximum entropy: The system PIT and its application in LEXMED. In Symposium on Operations Research 1999, 1999.


Inductive Learning of Simple Diagnostic Scores - Atzmueller, Baumeister, Puppe (2003)   (Correct)

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Schramm, M., Ertel, W.: Reasoning with Probabilities and Maximum Entropy: The System PIT and its Application in LEXMED. In et al., K.I., ed.: Operations Research Proceeedings, Springer Verlag (1999) 274--280

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