Efficient k-Regret Query Algorithm with Restriction-free Bound for any Dimensionality
Summary: Lower bound on the maximum regret ratio for k-regret queries; Sphere, a restriction-free algorithm that works in arbitrary dimensionality. Asymptotically optimal upper bound on regret, outperforming state-of-the-art methods in extensive experiments. (summarized by gpt-5-nano on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Min Xie (Hong Kong University of Science and Technology)
- 2. Raymond Chi-Wing Wong (Hong Kong University of Science and Technology)
- 3. Jian Li (Tsinghua University)
- 4. Cheng Long (Queen's University Belfast)
- 5. Ashwin Lall (Denison University)
BibTeX Citation
@inproceedings{xie_sigmod18,
title = {{Efficient k-Regret Query Algorithm with Restriction-free Bound for any Dimensionality}},
author = {Xie, Min and Wong, Raymond Chi-Wing and Li, Jian and Long, Cheng and Lall, Ashwin},
series = {{SIGMOD} '18},
booktitle = {Proceedings of the {ACM} {SIGMOD} International Conference on Management of Data},
publisher = {Association for Computing Machinery},
doi = {10.1145/3183713.3196903},
url = {https://dl.acm.org/doi/10.1145/3183713.3196903},
year = {2018}
}
Incoming Citations (Sorted by Pagerank)
Showing 9 of 9 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 6,780 | Marrying Top-k with Skyline Queries: Relaxing the Preference Input while Producing Output of Controllable Size | 2021 | SIGMOD | 5.6685383e-05 |
| 6,939 | A Unified Optimization Algorithm For Solving “Regret-Minimizing Representative” Problems | 2020 | VLDB | 5.623188e-05 |
| 7,474 | Strongly Truthful Interactive Regret Minimization | 2019 | SIGMOD | 5.5026548e-05 |
| 9,020 | Creating Top Ranking Options in the Continuous Option and Preference Space | 2019 | VLDB | 5.2221152e-05 |
| 9,609 | Happiness Maximizing Sets under Group Fairness Constraints | 2023 | VLDB | 5.1376962e-05 |
| 10,124 | Minimum Coresets for Maxima Representation of Multidimensional Data | 2021 | PODS | 5.0638787e-05 |
| 10,125 | On m-Impact Regions and Standing Top-k Influence Problems | 2021 | SIGMOD | 5.0638787e-05 |
| 10,126 | Interactive Search for One of the Top-k | 2021 | SIGMOD | 5.0638787e-05 |
| 11,934 | Interactive Mining with Ordered and Unordered Attributes | 2022 | VLDB | 4.9605343e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 10 of 10 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 344 | The Onion Technique: Indexing for Linear Optimization Queries | 2000 | SIGMOD | 0.00020463118 |
| 820 | Finding k-Dominant Skylines in High Dimensional Space | 2006 | SIGMOD | 0.00013621724 |
| 1,092 | Regret-Minimizing Representative Databases | 2010 | VLDB | 0.00012052099 |
| 1,478 | Diversifying Top-K Results | 2012 | VLDB | 0.00010511781 |
| 2,000 | Discovering Relative Importance of Skyline Attributes | 2009 | VLDB | 9.2105506e-05 |
| 2,119 | Computing k-Regret Minimizing Sets | 2014 | VLDB | 8.9989036e-05 |
| 2,192 | Top-k Bounded Diversification | 2012 | SIGMOD | 8.8838688e-05 |
| 2,551 | Interactive Regret Minimization | 2012 | SIGMOD | 8.2864226e-05 |
| 4,856 | Efficient Computation of Regret-ratio Minimizing Set: A Compact Maxima Representative | 2017 | SIGMOD | 6.3655902e-05 |
| 5,802 | k-Regret Queries with Nonlinear Utilities | 2015 | VLDB | 5.9728325e-05 |
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| # | Overall Rank | Paper | Year | Venue |
|---|---|---|---|---|
| 1 | 2,904 | Efficient Processing of Top-k Dominating Queries on Multi-Dimensional Data | 2007 | VLDB |
| 2 | 7,474 | Strongly Truthful Interactive Regret Minimization | 2019 | SIGMOD |
| 3 | 6,081 | k-Hit Query: Top-k Query with Probabilistic Utility Function | 2015 | SIGMOD |
| 4 | 2,119 | Computing k-Regret Minimizing Sets | 2014 | VLDB |
| 5 | 6,939 | A Unified Optimization Algorithm For Solving “Regret-Minimizing Representative” Problems | 2020 | VLDB |
| 6 | 4,856 | Efficient Computation of Regret-ratio Minimizing Set: A Compact Maxima Representative | 2017 | SIGMOD |
| 7 | 2,551 | Interactive Regret Minimization | 2012 | SIGMOD |
| 8 | 5,802 | k-Regret Queries with Nonlinear Utilities | 2015 | VLDB |
| 9 | 7,053 | Minimizing Average Regret Ratio in Database | 2016 | SIGMOD |
| 10 | 1,092 | Regret-Minimizing Representative Databases | 2010 | VLDB |