Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: What relations are reliably embeddable in Euclidean space?   We consider the problem of embedding a relation, represented as a directed
graph, into Euclidean space. For three types of embeddings motivated by the
recent literature on knowledge graphs, we obtain characterizations of which
relations they are able to capture, as well as bounds on the minimal
dimensionality and precision needed.

0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas