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Extensions of graph inversion to support an artificially intelligent modeling environment
Authors:Harvey J. Greenberg  J. Richard Lundgren  John S. Maybee
Affiliation:(1) Mathematics Department, University of Colorado at Denver, 1200 Larimer Street, Campus Box 170, 80204 Denver, CO, USA;(2) University of Colorado at Boulder Boulder, 80309, CO, USA
Abstract:This paper extends previous results in graph inversion to enable artificially intelligent model formulation by taking partial information from the problem domain into an algebraic form—that is, a mathematical model to support economicbased decision-making. Here focus is on flow relations and economic correlations. Issues of consistency are resolved, and a concept ofcore models is introduced to achieve minimality for simplifying model management and use. After establishing the general results, special consideration is given to input-output structures, as in Leontief models.
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