Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Super-Reparametrizations of Weighted CSPs: Properties and Optimization
  Perspective   The notion of reparametrizations of Weighted CSPs (WCSPs) (also known as
equivalence-preserving transformations of WCSPs) is well-known and finds its
use in many algorithms to approximate or bound the optimal WCSP value. In
contrast, the concept of super-reparametrizations (which are changes of the
weights that keep or increase the WCSP objective for every assignment) was
already proposed but never studied in detail. To fill this gap, we present a
number of theoretical properties of super-reparametrizations and compare them
to those of reparametrizations. Furthermore, we propose a framework for
computing upper bounds on the optimal value of the (maximization version of)
WCSP using super-reparametrizations. We show that it is in principle possible
to employ arbitrary (under some technical conditions) constraint propagation
rules to improve the bound. For arc consistency in particular, the method
reduces to the known Virtual AC (VAC) algorithm. Newly, we implemented the
method for singleton arc consistency (SAC) and compared it to other strong
local consistencies in WCSPs on a public benchmark. The results show that the
bounds obtained from SAC are superior for many instance groups.

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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat