Relations between entities can be represented by different instances, e.g., a sentence containing both entities or a fact in a Knowledge Graph (KG). However, these instances may not well capture the general relations between entities, may be difficult to understand by humans, even may not be found due to the incompleteness of the knowledge source. In this paper, we introduce the Open Relation Modeling task - given two entities, generate a coherent sentence describing the relation between them. To solve this task, we propose to teach machines to generate definition-like relation descriptions by letting them learn from definitions of entities. Specifically, we fine-tune Pre-trained Language Models (PLMs) to produce definitions conditioned on extracted entity pairs. To help PLMs reason between entities and provide additional relational knowledge to PLMs for open relation modeling, we incorporate reasoning paths in KGs and include a reasoning path selection mechanism. We show that PLMs can select interpretable and informative reasoning paths by confidence estimation, and the selected path can guide PLMs to generate better relation descriptions. Experimental results show that our model can generate concise but informative relation descriptions that capture the representative characteristics of entities and relations.
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