Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random tree Besov priors -- Towards fractal imaging   We propose alternatives to Bayesian a priori distributions that are
frequently used in the study of inverse problems. Our aim is to construct
priors that have similar good edge-preserving properties as total variation or
Mumford-Shah priors but correspond to well defined infinite-dimensional random
variables, and can be approximated by finite-dimensional random variables. We
introduce a new wavelet-based model, where the non zero coefficient are chosen
in a systematic way so that prior draws have certain fractal behaviour. We show
that realisations of this new prior take values in some Besov spaces and have
singularities only on a small set $\tau$ that has a certain Hausdorff
dimension. We also introduce an efficient algorithm for calculating the MAP
estimator, arising from the the new prior, in denoising problem.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
18
The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg