Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Closed Form Word Embedding Alignment   We develop a family of techniques to align word embeddings which are derived
from different source datasets or created using different mechanisms (e.g.,
GloVe or word2vec). Our methods are simple and have a closed form to optimally
rotate, translate, and scale to minimize root mean squared errors or maximize
the average cosine similarity between two embeddings of the same vocabulary
into the same dimensional space. Our methods extend approaches known as
Absolute Orientation, which are popular for aligning objects in
three-dimensions, and generalize an approach by Smith etal (ICLR 2017). We
prove new results for optimal scaling and for maximizing cosine similarity.
Then we demonstrate how to evaluate the similarity of embeddings from different
sources or mechanisms, and that certain properties like synonyms and analogies
are preserved across the embeddings and can be enhanced by simply aligning and
averaging ensembles of embeddings.

3
The categories of this paper are: physics
18
The categories of this paper are: econ
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph