Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Total Variation Regularisation with Spatially Variable Lipschitz
  Constraints   We introduce a first order Total Variation type regulariser that decomposes a
function into a part with a given Lipschitz constant (which is also allowed to
vary spatially) and a jump part. The kernel of this regulariser contains all
functions whose Lipschitz constant does not exceed a given value, hence by
locally adjusting this value one can determine how much variation is the
reconstruction allowed to have. We prove regularising properties of this
functional, study its connections to other Total Variation type regularisers
and propose a primal dual optimisation scheme. Our numerical experiments
demonstrate that the proposed first order regulariser can achieve
reconstruction quality similar to that of second order regularisers such as
Total Generalised Variation, while requiring significantly less computational
time.

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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an