Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Clustering With Pairwise Relationships: A Generative Approach   Semi-supervised learning (SSL) has become important in current data analysis
applications, where the amount of unlabeled data is growing exponentially and
user input remains limited by logistics and expense. Constrained clustering, as
a subclass of SSL, makes use of user input in the form of relationships between
data points (e.g., pairs of data points belonging to the same class or
different classes) and can remarkably improve the performance of unsupervised
clustering in order to reflect user-defined knowledge of the relationships
between particular data points. Existing algorithms incorporate such user
input, heuristically, as either hard constraints or soft penalties, which are
separate from any generative or statistical aspect of the clustering model;
this results in formulations that are suboptimal and not sufficiently general.
In this paper, we propose a principled, generative approach to
probabilistically model, without ad hoc penalties, the joint distribution given
by user-defined pairwise relations. The proposed model accounts for general
underlying distributions without assuming a specific form and relies on
expectation-maximization for model fitting. For distributions in a standard
form, the proposed approach results in a closed-form solution for updated
parameters.

19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org