Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probabilistic Entity Representation Model for Reasoning over Knowledge
  Graphs   Logical reasoning over Knowledge Graphs (KGs) is a fundamental technique that
can provide efficient querying mechanism over large and incomplete databases.
Current approaches employ spatial geometries such as boxes to learn query
representations that encompass the answer entities and model the logical
operations of projection and intersection. However, their geometry is
restrictive and leads to non-smooth strict boundaries, which further results in
ambiguous answer entities. Furthermore, previous works propose transformation
tricks to handle unions which results in non-closure and, thus, cannot be
chained in a stream. In this paper, we propose a Probabilistic Entity
Representation Model (PERM) to encode entities as a Multivariate Gaussian
density with mean and covariance parameters to capture its semantic position
and smooth decision boundary, respectively. Additionally, we also define the
closed logical operations of projection, intersection, and union that can be
aggregated using an end-to-end objective function. On the logical query
reasoning problem, we demonstrate that the proposed PERM significantly
outperforms the state-of-the-art methods on various public benchmark KG
datasets on standard evaluation metrics. We also evaluate PERM's competence on
a COVID-19 drug-repurposing case study and show that our proposed work is able
to recommend drugs with substantially better F1 than current methods. Finally,
we demonstrate the working of our PERM's query answering process through a
low-dimensional visualization of the Gaussian representations.

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The categories of this paper are: comp-gas
2
The categories of this paper are: math
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio