When is Shapley Value Computation a Matter of Counting?
Summary: Connects Shapley value computation (SVC) to FGMC via reductions, clarifying when SVC hardness mirrors FGMC for fixed-query sub-databases. Establishes FP-#P dichotomies for constant-free unions of connected conjunctive queries and for connected, homomorphism-closed graph queries; also studies variants that disallow assumed facts or counting constants. (summarized by gpt-5-nano on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Meghyn Bienvenu (Bordeaux Institute of Technology; Bordeaux Laboratory for Research in Computer Science; CNRS; University of Bordeaux)
- 2. Diego Figueira (Bordeaux Institute of Technology; Bordeaux Laboratory for Research in Computer Science; CNRS; University of Bordeaux)
- 3. Pierre Lafourcade (Bordeaux Institute of Technology; Bordeaux Laboratory for Research in Computer Science; CNRS; University of Bordeaux)
BibTeX Citation
@inproceedings{bienvenu_pods24,
address = {New York, NY, USA},
series = {{PODS} '24},
title = {{When is Shapley Value Computation a Matter of Counting?}},
url = {https://dl.acm.org/doi/10.1145/3651606},
doi = {10.1145/3651606},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Bienvenu, Meghyn and Figueira, Diego and Lafourcade, Pierre},
year = {2024}
}
Incoming Citations (Sorted by Pagerank)
Showing 6 of 6 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 5,514 | Expected Shapley-Like Scores of Boolean Functions: Complexity and Applications to Probabilistic Databases | 2024 | PODS | 6.0978288e-05 |
| 9,723 | Shapley Value Estimation Based on Differential Matrix | 2025 | SIGMOD | 5.1349531e-05 |
| 9,997 | Shapley Revisited: Tractable Responsibility Measures for Query Answers | 2025 | PODS | 5.0979044e-05 |
| 10,399 | Tractability Frontiers of the Shapley Value for Aggregate Conjunctive Queries | 2026 | PODS | 4.9793485e-05 |
| 10,414 | ASSS: Adaptive Stratified Sampling for Shapley-like Values | 2026 | SIGMOD | 4.9793485e-05 |
| 11,211 | Understanding the Black Box: A Deep Empirical Dive into Shapley Value Approximations for Tabular Data | 2025 | SIGMOD | 4.9793485e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 5 of 5 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 51 | Efficient Query Evaluation on Probabilistic Databases | 2004 | VLDB | 0.00042936299 |
| 2,217 | Computing the Shapley Value of Facts in Query Answering | 2022 | SIGMOD | 8.8172185e-05 |
| 2,722 | The Impact of Negation on the Complexity of the Shapley Value in Conjunctive Queries | 2020 | PODS | 8.0955983e-05 |
| 4,002 | From Shapley Value to Model Counting and Back | 2024 | PODS | 6.8607198e-05 |
| 8,009 | A Dichotomy for the Generalized Model Counting Problem for Unions of Conjunctive Queries | 2021 | PODS | 5.407475e-05 |
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Semantically Similar Papers
| # | Overall Rank | Paper | Year | Venue |
|---|---|---|---|---|
| 1 | 8,254 | Symmetric Weighted First-Order Model Counting | 2015 | PODS |
| 2 | 8,828 | Fine-Grained Complexity Analysis of Queries: From Decision to Counting and Enumeration | 2020 | PODS |
| 3 | 8,862 | Counting Problems over Incomplete Databases | 2020 | PODS |
| 4 | 8,009 | A Dichotomy for the Generalized Model Counting Problem for Unions of Conjunctive Queries | 2021 | PODS |
| 5 | 5,514 | Expected Shapley-Like Scores of Boolean Functions: Complexity and Applications to Probabilistic Databases | 2024 | PODS |
| 6 | 9,997 | Shapley Revisited: Tractable Responsibility Measures for Query Answers | 2025 | PODS |
| 7 | 2,217 | Computing the Shapley Value of Facts in Query Answering | 2022 | SIGMOD |
| 8 | 10,399 | Tractability Frontiers of the Shapley Value for Aggregate Conjunctive Queries | 2026 | PODS |
| 9 | 2,722 | The Impact of Negation on the Complexity of the Shapley Value in Conjunctive Queries | 2020 | PODS |
| 10 | 4,002 | From Shapley Value to Model Counting and Back | 2024 | PODS |