Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalized characterization of algorithmic probability   An a priori semimeasure (also known as "algorithmic probability" or "the
Solomonoff prior" in the context of inductive inference) is defined as the
transformation, by a given universal monotone Turing machine, of the uniform
measure on the infinite strings. It is shown in this paper that the class of a
priori semimeasures can equivalently be defined as the class of
transformations, by all compatible universal monotone Turing machines, of any
continuous computable measure in place of the uniform measure. Some
consideration is given to possible implications for the prevalent association
of algorithmic probability with certain foundational statistical principles.

11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th