Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hedged maximum likelihood estimation   This paper proposes and analyzes a new method for quantum state estimation,
called hedged maximum likelihood (HMLE). HMLE is a quantum version of
Lidstone's Law, also known as the "add beta" rule. A straightforward
modification of maximum likelihood estimation (MLE), it can be used as a plugin
replacement for MLE. The HMLE estimate is a strictly positive density matrix,
slightly less likely than the ML estimate, but with much better behavior for
predictive tasks. Single-qubit numerics indicate that HMLE beats MLE, according
to several metrics, for nearly all "true" states. For nearly-pure states, MLE
does slightly better, but neither method is optimal.

36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph