Proceedings

Qualitative Analysis of Causal Graphs with Equilibrium Type-Transition

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Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence. Diagnosis and Qualitative Reasoning. Pages 542-547.

Abstract

In this paper, we present a method to qualitatively compute the global characteristics of causal graphs by the analysis of the underlying dynamical systems, rather than traditional qualitative simulations which suffer from intractability and difficulty in understanding their simulation results. The key idea is to translate a given causal graph into an autonomous dynamical system and to analyze equilibrium points in the system. The method requires no numerical information and it has the advantage of computing the conditions under which a certain equilibrium type holds and when equilibrium type-transitions occur. The method is firmly based on mathematical grounds, and the result is guaranteed to be valid for linear systems under the specified conditions.

Koichi Kurumatani, and Mari Nakamura. 1997. Qualitative Analysis of Causal Graphs with Equilibrium Type-Transition. In Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence, IJCAI-97. IJCAI, 542–547. https://ijcai.org/proceedings/1997/80
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