From Shapley Value to Model Counting and Back
Summary: Proves a polynomial-time equivalence between computing Shapley values and model counting for any Boolean class closed under substituting variables by disjunctions of fresh variables. Yields poly-time Shapley on deterministic decomposable circuits and a tight dichotomy for self‑join‑free Boolean CQs, with non‑hierarchical hardness via #P model-counting reductions on DNF lineage. (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Ahmet Kara
- 2. Dan Olteanu
- 3. Dan Suciu
Incoming Citations (Sorted by Pagerank)
Showing 7 of 7 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 5,960 | Expected Shapley-Like Scores of Boolean Functions: Complexity and Applications to Probabilistic Databases | 2024 | PODS | 5.251188e-05 |
| 6,058 | When is Shapley Value Computation a Matter of Counting? | 2024 | PODS | 5.2274142e-05 |
| 8,663 | Advancing Fact Attribution for Query Answering: Aggregate Queries and Novel Algorithms | 2025 | VLDB | 4.4676883e-05 |
| 9,639 | Shapley Revisited: Tractable Responsibility Measures for Query Answers | 2025 | PODS | 4.3067693e-05 |
| 10,010 | Tractability Frontiers of the Shapley Value for Aggregate Conjunctive Queries | 2026 | PODS | 4.1905499e-05 |
| 10,403 | Shapley Value Estimation Based on Differential Matrix | 2025 | SIGMOD | 4.1905499e-05 |
| 10,533 | Understanding the Black Box: A Deep Empirical Dive into Shapley Value Approximations for Tabular Data | 2025 | SIGMOD | 4.1905499e-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 |
|---|---|---|---|---|
| 31 | Provenance Semirings | 2007 | PODS | 0.00078516827 |
| 74 | Efficient Query Evaluation on Probabilistic Databases | 2004 | VLDB | 0.00057797415 |
| 2,876 | Computing the Shapley Value of Facts in Query Answering | 2022 | SIGMOD | 7.9739469e-05 |
| 3,030 | The Impact of Negation on the Complexity of the Shapley Value in Conjunctive Queries | 2020 | PODS | 7.676832e-05 |
| 6,424 | ShapGraph: An Holistic View of Explanations through Provenance Graphs and Shapley Values | 2022 | SIGMOD | 5.0618143e-05 |
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