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 |
|---|---|---|---|---|
| 6,636 | Marrying Top-k with Skyline Queries: Relaxing the Preference Input while Producing Output of Controllable Size | 2021 | SIGMOD | 5.8172769e-05 |
| 6,786 | A Unified Optimization Algorithm For Solving “Regret-Minimizing Representative” Problems | 2020 | VLDB | 5.7740702e-05 |
| 7,305 | Strongly Truthful Interactive Regret Minimization | 2019 | SIGMOD | 5.6501646e-05 |
| 8,825 | Creating Top Ranking Options in the Continuous Option and Preference Space | 2019 | VLDB | 5.3616725e-05 |
| 9,393 | Happiness Maximizing Sets under Group Fairness Constraints | 2023 | VLDB | 5.2755515e-05 |
| 9,899 | Minimum Coresets for Maxima Representation of Multidimensional Data | 2021 | PODS | 5.1997534e-05 |
| 9,900 | On m-Impact Regions and Standing Top-k Influence Problems | 2021 | SIGMOD | 5.1997534e-05 |
| 9,901 | Interactive Search for One of the Top-k | 2021 | SIGMOD | 5.1997534e-05 |
| 11,576 | Interactive Mining with Ordered and Unordered Attributes | 2022 | VLDB | 5.093636e-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 |
|---|---|---|---|---|
| 333 | The Onion Technique: Indexing for Linear Optimization Queries | 2000 | SIGMOD | 0.0002089582 |
| 792 | Finding k-Dominant Skylines in High Dimensional Space | 2006 | SIGMOD | 0.00013979615 |
| 1,072 | Regret-Minimizing Representative Databases | 2010 | VLDB | 0.0001230281 |
| 1,454 | Diversifying Top-K Results | 2012 | VLDB | 0.00010739504 |
| 1,938 | Discovering Relative Importance of Skyline Attributes | 2009 | VLDB | 9.4514785e-05 |
| 2,063 | Computing k-Regret Minimizing Sets | 2014 | VLDB | 9.2399169e-05 |
| 2,259 | Top-k Bounded Diversification | 2012 | SIGMOD | 8.8529269e-05 |
| 2,491 | Interactive Regret Minimization | 2012 | SIGMOD | 8.5086491e-05 |
| 4,727 | Efficient Computation of Regret-ratio Minimizing Set: A Compact Maxima Representative | 2017 | SIGMOD | 6.5362946e-05 |
| 5,654 | k-Regret Queries with Nonlinear Utilities | 2015 | VLDB | 6.1330869e-05 |
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| 1 | 2,827 | Efficient Processing of Top-k Dominating Queries on Multi-Dimensional Data | 2007 | VLDB |
| 2 | 7,305 | Strongly Truthful Interactive Regret Minimization | 2019 | SIGMOD |
| 3 | 5,944 | k-Hit Query: Top-k Query with Probabilistic Utility Function | 2015 | SIGMOD |
| 4 | 2,063 | Computing k-Regret Minimizing Sets | 2014 | VLDB |
| 5 | 6,786 | A Unified Optimization Algorithm For Solving “Regret-Minimizing Representative” Problems | 2020 | VLDB |
| 6 | 4,727 | Efficient Computation of Regret-ratio Minimizing Set: A Compact Maxima Representative | 2017 | SIGMOD |
| 7 | 2,491 | Interactive Regret Minimization | 2012 | SIGMOD |
| 8 | 5,654 | k-Regret Queries with Nonlinear Utilities | 2015 | VLDB |
| 9 | 6,886 | Minimizing Average Regret Ratio in Database | 2016 | SIGMOD |
| 10 | 1,072 | Regret-Minimizing Representative Databases | 2010 | VLDB |