Analogical proportions are statements of the form "$a$ is to $b$ as $c$ is to $d$", which expresses that the comparisons of the elements in pair $(a, b)$ and in pair $(c, d)$ yield similar results. Analogical proportions are creative in the sense that given 3 distinct items, the representation of a 4th item $d$, distinct from the previous items, which forms an analogical proportion with them can be calculated, provided certain conditions are met. After providing an introduction to analogical proportions and their properties, the paper reports the results of an experiment made with a database of animal descriptions and their class, where we try to "create" new animals from existing ones, retrieving rare animals such as platypus. We perform a series of experiments using word embeddings as well as Boolean features in order to propose novel animals based on analogical proportions, showing that word embeddings obtain better results.
翻译:类比比例是一种形如“$a$ 之于 $b$ 正如 $c$ 之于 $d$”的陈述,它表达了元素对 $(a, b)$ 与元素对 $(c, d)$ 的比较结果相似。类比比例具有创造性,因为在给定三个不同项目的情况下,只要满足特定条件,就可以计算出与它们构成类比比例的第四个项目 $d$(该项目与前三个项目不同)的表征。在介绍类比比例及其性质后,本文报告了一项基于动物描述及其类别数据库的实验结果,该实验尝试从现有动物中“创造”新动物,并检索出鸭嘴兽等稀有动物。我们利用词嵌入和布尔特征进行了一系列实验,旨在基于类比比例提出新颖的动物类别,结果表明词嵌入取得了更优的效果。