Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: K-Regret Queries Using Multiplicative Utility Functions   The k-regret query aims to return a size-k subset S of a database D such
that, for any query user that selects a data object from this size-k subset S
rather than from database D, her regret ratio is minimized. The regret ratio
here is modeled by the relative difference in the optimality between the
locally optimal object in S and the globally optimal object in D. The
optimality of a data object in turn is modeled by a utility function of the
query user. Unlike traditional top-k queries, the k-regret query does not
minimize the regret ratio for a specific utility function. Instead, it
considers a family of infinite utility functions F, and aims to find a size-k
subset that minimizes the maximum regret ratio of any utility function in F.
  Studies on k-regret queries have focused on the family of additive utility
functions, which have limitations in modeling individuals' preferences and
decision making processes, especially for a common observation called the
diminishing marginal rate of substitution (DMRS). We introduce k-regret queries
with multiplicative utility functions, which are more expressive in modeling
the DMRS, to overcome those limitations. We propose a query algorithm with
bounded regret ratios. To showcase the applicability of the algorithm, we apply
it to a special family of multiplicative utility functions, the Cobb-Douglas
family of utility functions, and a closely related family of utility functions,
the Constant Elasticity of Substitution family of utility functions, both of
which are frequently used utility functions in microeconomics. After a further
study of the query properties, we propose a heuristic algorithm that produces
even smaller regret ratios in practice. Extensive experiments on the proposed
algorithms confirm that they consistently achieve small maximum regret ratios.

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The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
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The categories of this paper are: math
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys