Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing Local Sensitivities of Counting Queries with Joins   Local sensitivity of a query Q given a database instance D, i.e. how much the
output Q(D) changes when a tuple is added to D or deleted from D, has many
applications including query analysis, outlier detection, and in differential
privacy. However, it is NP-hard to find local sensitivity of a conjunctive
query in terms of the size of the query, even for the class of acyclic queries.
Although the complexity is polynomial when the query size is fixed, the naive
algorithms are not efficient for large databases and queries involving multiple
joins. In this paper, we present a novel approach to compute local sensitivity
of counting queries involving join operations by tracking and summarizing tuple
sensitivities -- the maximum change a tuple can cause in the query result when
it is added or removed. We give algorithms for the sensitivity problem for full
acyclic join queries using join trees, that run in polynomial time in both the
size of the database and query for an interesting sub-class of queries, which
we call 'doubly acyclic queries' that include path queries, and in polynomial
time in combined complexity when the maximum degree in the join tree is
bounded. Our algorithms can be extended to certain non-acyclic queries using
generalized hypertree decompositions. We evaluate our approach experimentally,
and show applications of our algorithms to obtain better results for
differential privacy by orders of magnitude.

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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: math
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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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: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an