k-Regret Queries with Nonlinear Utilities

Summary: Generalizes k-regret queries beyond linear utilities to convex, concave, and constant-elasticity-of-substitution models, capturing diminishing returns, risk, and substitutability. Derives upper/lower bounds and validates them empirically. (summarized by gpt-5.6-luna on Jul 24 2026)

Paper ID: 11315
Venue: VLDB
Year: 2015
Pagerank: 6.1330869e-05
Overall Rank: 5,654 | 61.21%
DOI: 10.14778/2831360.2831364

Incoming Non-self Citations Over Time

Authors

1. Taylor Kessler Faulkner (Denison University)
2. Will Brackenbury (Denison University)
3. Ashwin Lall (Denison University)

BibTeX Citation

@article{faulkner_vldb15,
        title = {{k-Regret Queries with Nonlinear Utilities}},
        author = {Faulkner, Taylor Kessler and Brackenbury, Will and Lall, Ashwin},
        journal = {PVLDB},
        series = {{VLDB} '15},
        volume = {8},
        number = {13},
        pages = {2098--2109},
        doi = {10.14778/2831360.2831364},
        url = {https://doi.org/10.14778/2831360.2831364},
        year = {2015}
}

Incoming Citations (Sorted by Pagerank)

Showing 5 of 5 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
4,727	Efficient Computation of Regret-ratio Minimizing Set: A Compact Maxima Representative	2017	SIGMOD	6.5362946e-05
4,939	Efficient k-Regret Query Algorithm with Restriction-free Bound for any Dimensionality	2018	SIGMOD	6.4336325e-05
6,592	RRR: Rank-Regret Representative	2019	SIGMOD	5.830041e-05
9,393	Happiness Maximizing Sets under Group Fairness Constraints	2023	VLDB	5.2755515e-05
11,199	Directional Queries: Making Top-k Queries More Effective in Discovering Relevant Results	2024	SIGMOD	5.093636e-05

Outgoing Citations (Sorted by Pagerank)

Showing 6 of 6 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank	Cited Paper	Year	Venue	Pagerank
333	The Onion Technique: Indexing for Linear Optimization Queries	2000	SIGMOD	0.0002089582
407	PREFER: A System for the Efficient Execution of Multiparametric Ranked Queries	2001	SIGMOD	0.00019021441
792	Finding k-Dominant Skylines in High Dimensional Space	2006	SIGMOD	0.00013979615
1,072	Regret-Minimizing Representative Databases	2010	VLDB	0.0001230281
2,063	Computing k-Regret Minimizing Sets	2014	VLDB	9.2399169e-05
2,491	Interactive Regret Minimization	2012	SIGMOD	8.5086491e-05

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6	4,727	Efficient Computation of Regret-ratio Minimizing Set: A Compact Maxima Representative	2017	SIGMOD
7	6,786	A Unified Optimization Algorithm For Solving “Regret-Minimizing Representative” Problems	2020	VLDB
8	4,939	Efficient k-Regret Query Algorithm with Restriction-free Bound for any Dimensionality	2018	SIGMOD
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