Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cats climb entails mammals move: preserving hyponymy in compositional
  distributional semantics   To give vector-based representations of meaning more structure, one approach
is to use positive semidefinite (psd) matrices. These allow us to model
similarity of words as well as the hyponymy or is-a relationship. Psd matrices
can be learnt relatively easily in a given vector space $M\otimes M^*$, but to
compose words to form phrases and sentences, we need representations in larger
spaces. In this paper, we introduce a generic way of composing the psd matrices
corresponding to words. We propose that psd matrices for verbs, adjectives, and
other functional words be lifted to completely positive (CP) maps that match
their grammatical type. This lifting is carried out by our composition rule
called Compression, Compr. In contrast to previous composition rules like Fuzz
and Phaser (a.k.a. KMult and BMult), Compr preserves hyponymy. Mathematically,
Compr is itself a CP map, and is therefore linear and generally
non-commutative. We give a number of proposals for the structure of Compr,
based on spiders, cups and caps, and generate a range of composition rules. We
test these rules on a small sentence entailment dataset, and see some
improvements over the performance of Fuzz and Phaser.

27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph