Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Geometry of Maximum Entropy Problems   We show that a simple geometric result suffices to derive the form of the
optimal solution in a large class of finite and infinite-dimensional maximum
entropy problems concerning probability distributions, spectral densities and
covariance matrices. These include Burg's spectral estimation method and
Dempster's covariance completion, as well as various recent generalizations of
the above. We then apply this orthogonality principle to the new problem of
completing a block-circulant covariance matrix when an a priori estimate is
available.

23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th