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Scaling the weight parameters in Markov logic networks and relational logistic regression models. (arXiv:2103.15140v2 [cs.AI] UPDATED)
cs.LG updates on arXiv.org arxiv.org
We consider Markov logic networks and relational logistic regression as two
fundamental representation formalisms in statistical relational artificial
intelligence that use weighted formulas in their specification. However, Markov
logic networks are based on undirected graphs, while relational logistic
regression is based on directed acyclic graphs. We show that when scaling the
weight parameters with the domain size, the asymptotic behaviour of a
relational logistic regression model is transparently controlled by the
parameters, and we supply an algorithm to compute asymptotic …
ai arxiv logic logistic regression markov networks regression scaling