---
title: "Shapley value (SHAP): formula and 49 recent papers"
description: "Shapley value (SHAP) was mentioned in 49 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #21 of the 104 equations and models mentioned."
url: https://scholar4ai.com/equations/shapley-value-shap
markdown_url: https://scholar4ai.com/equations/shapley-value-shap.md
license: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/)
share_text: "Shapley value (SHAP) was mentioned in 49 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #21 of the 104 equations and models mentioned."
data_url: https://scholar4ai.com/data/rankings.json
updated: 2026-10-26T14:32:25+09:00
window: 2026-09-27 to 2026-10-26
source: OpenAlex (CC0)
---

# Shapley value (SHAP)

$$
\phi_i(v) = \sum_{S \subseteq N \setminus \{i\}} \frac{\lvert S \rvert!\,(n - \lvert S \rvert - 1)!}{n!}\big[v(S \cup \{i\}) - v(S)\big]
$$

A player's average marginal contribution over all coalitions; SHAP uses it to explain machine-learning predictions.

- area: Game theory and decision analysis
- 3 papers in the last 7 days
- Names searched for: Shapley value, SHAP, Shapley additive explanation

Back to the ranking: https://scholar4ai.com/rankings/equations.md

## Key findings

- Shapley value (SHAP) was mentioned in 49 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #21 of the 104 equations and models mentioned.
- By journal category: AI (24), Management (8), Operations Research (8), Economics (6) and Finance (3).
- Most of them appeared in Expert Systems with Applications (5), Neural Computing and Applications (5) and Applied Intelligence (4).
- Often mentioned together with Gradient boosting (XGBoost) (20), Random forest (16) and Support vector machine (SVM) (14).
- Datasets named in the same papers: OR-Library (11), Kaggle (4) and Twitter / X (3).
- From Oct 2023 to Sep 2026, 469 archived papers mentioned Shapley value (SHAP) in their title, abstract or keywords, most of them in Jul 2025 (31).

## Mentions over 36 months

*Papers mentioning it by publication month, Oct 2023 to Sep 2026 (titles, abstracts and keywords)*

| Trend | Oct 23–Sep 24 | Oct 24–Sep 25 | Oct 25–Sep 26 | 36 months |
|---|---:|---:|---:|---:|
|  | 170 | 242 | 57 | 469 |

*Papers mentioning Shapley value (SHAP), newest first.*

| Date | Title | Journal | Authors | Affiliations |
|---|---|---|---|---|
| 2026-10-23 | [Dynamic prediction of loss given default in Norwegian retail credit card debt: advanced machine learning versus statistical models](https://doi.org/10.1007/s42521-026-00230-2) | [Digital Finance](https://scholar4ai.com/journals/digital-finance.md) | Cathy Ho, Isabel A. C. Sandersen, Espen Selliken et al. | Norwegian University of Science and Technology |
| 2026-10-22 | [The location logic of informal retail: dual-scale evidence from street food vendors in Hangzhou](https://doi.org/10.1016/j.jretconser.2026.105182) | [Journal of Retailing and Consumer Services](https://scholar4ai.com/journals/journal-of-retailing-and-consumer-services.md) | Kechen Xu, 陈妤凡, Yong He et al. | Zhejiang A & F University; Zhejiang University of Technology; Zhejiang University |
| 2026-10-21 | [Leveraging Machine Learning for Profit Forecasting and Cost Optimization Using Public Financial Data](https://doi.org/10.1007/s10614-026-11455-z) | [Computational Economics](https://scholar4ai.com/journals/computational-economics.md) | Bilal Ahmad, Abdu Salam, Mian Abdulbasit et al. | University of Peshawar; Abdul Wali Khan University Mardan; Yeungnam University; … |
| 2026-10-19 | [Can linguistic vagueness in annual reports predict supply chain risk?](https://doi.org/10.1016/j.jbusres.2026.116614) | [Journal of Business Research](https://scholar4ai.com/journals/journal-of-business-research.md) | Hongquan Li, Yang Yang | Hunan Normal University; Changsha Normal University; Shanghai University of Finance and Economics |
| 2026-10-19 | [Energy equity under crisis pricing: the vulnerability-responsiveness paradox in Norwegian residential electricity consumption during the European energy crisis](https://doi.org/10.1016/j.jup.2026.102356) | [Utilities Policy](https://scholar4ai.com/journals/utilities-policy.md) | Seyed‐Ali Sadegh‐Zadeh, Murouj Aljamaeen, Mohammad Amin Barati et al. | University of Staffordshire; University of Tehran; University of Essex |
| 2026-10-17 | [Multi-Perspective explainability in traffic prediction: A neuro-symbolic approach using CNN-LSTMs and concept lattices](https://doi.org/10.1007/s10489-026-07512-7) | [Applied Intelligence](https://scholar4ai.com/journals/applied-intelligence.md) | Suraya Syazwani Mohamad Yusof, Hadhrami Ab Ghani, Nurul Izrin Md Saleh et al. | Universiti Malaysia Kelantan; Universiti Teknikal Malaysia Melaka; University of Technology Malaysia |
| 2026-10-17 | [Invariance across games and the per capita Shapley support levels value](https://doi.org/10.1007/s11238-026-10166-z) | [Theory and Decision](https://scholar4ai.com/journals/theory-and-decision.md) | Songtao He, Erfang Shan, Yuxin Sun | Xihua University; Shanghai University |
| 2026-10-16 | [AMS-LPP: adaptive model selection for lightfastness property prediction in textile materials using similarity-guided transfer learning and AutoML](https://doi.org/10.1186/s40537-026-01585-4) | [Journal Of Big Data](https://scholar4ai.com/journals/journal-of-big-data.md) | Murad Ali Khan, Muhammad Faseeh, Syed Shehryar Ali Naqvi et al. | Jeju National University |
| 2026-10-15 | [An interpretable stacked ensemble fault diagnosis model for electric drive systems in new energy vehicles](https://doi.org/10.1016/j.eswa.2026.134728) | [Expert Systems with Applications](https://scholar4ai.com/journals/expert-systems-with-applications.md) | Jiayin Tang, Mingxing Zhao, Guo Sha et al. | Southwest Jiaotong University; West Anhui University; Xiangtan University |
| 2026-10-15 | [pDOC-STANet: A spatiotemporal attention network for automatic assessment of prolonged disorders of consciousness using fNIRS](https://doi.org/10.1007/s10489-026-07542-1) | [Applied Intelligence](https://scholar4ai.com/journals/applied-intelligence.md) | Zehai Li, Yuxin Xing, Shuwei Wang et al. | Zhejiang Normal University; Wenzhou Medical University; Zhejiang Taizhou Hospital; … |
| 2026-10-15 | [Prediction of polyurethane foam density using hybrid feature screening and comparative hyperparameter optimization of machine learning models](https://doi.org/10.1016/j.knosys.2026.117217) | [Knowledge-Based Systems](https://scholar4ai.com/journals/knowledge-based-systems.md) | Oluwayomi  Joel Oyejide, Faiz Ahmad, Joseph Achebo et al. | Universiti Teknologi Petronas; Federal University of Petroleum Resource Effurun; University of Benin; … |
| 2026-10-14 | [Study of robust features in formulating guidance for heuristic algorithms for solving the vehicle routing problem](https://doi.org/10.1007/s10732-026-09603-7) | [Journal of Heuristics](https://scholar4ai.com/journals/journal-of-heuristics.md) | Bachtiar Herdianto, Romain Billot, Flavien Lucas et al. | Institut national de recherche en sciences et technologies du numérique; Institut National des Sciences Appliquées de Lyon; Centre National de la Recherche Scientifique; … |
| 2026-10-12 | [Exploring multi-horizon cryptocurrency forecasting: can machine learning drive profitable trading strategies?](https://doi.org/10.1007/s10479-026-07434-0) | [Annals of Operations Research](https://scholar4ai.com/journals/annals-of-operations-research.md) | Filippo Dal Lago, Rocco Andrea D’Alterio, Faizal M.F. Hafiz et al. | University of Insubria; Laboratoire d'Informatique, Signaux et Systèmes de Sophia Antipolis; Fondation Sophia Antipolis; … |
| 2026-10-10 | [A fair profit distribution as a resilient strategy in supply chains under ripple effect](https://doi.org/10.1007/s10696-026-09689-y) | [Flexible Services and Manufacturing Journal](https://scholar4ai.com/journals/flexible-services-and-manufacturing-journal.md) | Tadeusz J. Sawik | Indian Institute of Technology Bombay |
| 2026-10-10 | [Decision-Aware and Explainable Credit-Default Prediction: A Reproducible Computational Benchmark of Machine-Learning Models](https://doi.org/10.1007/s10614-026-11431-7) | [Computational Economics](https://scholar4ai.com/journals/computational-economics.md) | Shimaa M. Abd-Elsalam, Ahmed Abdelhafeez | National Research Centre; Applied Science Private University |
| 2026-10-08 | [Entrepreneurship development, corruption perception, and sustainable development outcomes in emerging economies: the moderating role of digital financial inclusion](https://doi.org/10.1186/s43093-026-01019-w) | [Future Business Journal](https://scholar4ai.com/journals/future-business-journal.md) | Seun Adebowale Adebanjo |  |
| 2026-10-07 | [The conditional value relevance of ESG and innovation disclosures: a multi-method analysis of European firms combining panel econometrics and machine learning](https://doi.org/10.1007/s10479-026-07442-0) | [Annals of Operations Research](https://scholar4ai.com/journals/annals-of-operations-research.md) | Andreas Errikos Delegkos, Evangelia Arsenou, Dionisis Cavouras et al. | University of West Attica; University College Dublin |
| 2026-10-06 | [Is bitcoin a hedge against central banking? Evidence from AI-driven monetary policy expectations](https://doi.org/10.1016/j.jimonfin.2026.103683) | [Journal of International Money and Finance](https://scholar4ai.com/journals/journal-of-international-money-and-finance.md) | Maxime L. D. Nicolas, François Sicard, Marion Labouré et al. | University College London; Deutsche Bank (United Kingdom) |
| 2026-10-06 | [A specificity-driven causal augmentation framework for robust and interpretable thyroid cancer recurrence modeling](https://doi.org/10.1016/j.ipm.2026.105224) | [Information Processing & Management](https://scholar4ai.com/journals/information-processing-management.md) | Yan Wu, Yanyan Liu, Zhaoyuan Zhang et al. | Yili Normal University; Xinjiang Institute of Engineering |
| 2026-10-06 | [Improving runoff forecasting in data-scarce basins on the Loess Plateau: a physics-guided meta-learning approach with feature-wise linear modulation](https://doi.org/10.1016/j.eswa.2026.134653) | [Expert Systems with Applications](https://scholar4ai.com/journals/expert-systems-with-applications.md) | Zhongfeng Zhao, Xueni Wang, Zhang Leike et al. | Taiyuan University of Technology |
| 2026-10-05 | [Transparent forecasting with XAI: Improving accuracy and trust in electricity demand prediction](https://doi.org/10.1016/j.knosys.2026.117131) | [Knowledge-Based Systems](https://scholar4ai.com/journals/knowledge-based-systems.md) | Somya Bansal, Vaibhav Baldeva, Asmit Cajla et al. | Thapar Institute of Engineering & Technology; Torrens University Australia; Norwegian University of Science and Technology |
| 2026-10-04 | [Compatibility paradox: impossibilities in Shapley-based committee selection](https://doi.org/10.1007/s11127-026-01483-6) | [Public Choice](https://scholar4ai.com/journals/public-choice.md) | Yusuke Kamishiro | Kanto Gakuin University |
| 2026-10-03 | [An intelligent cybersecurity framework for banking systems: integrating neural networks, large language models, and federated learning for anti-money laundering and fraud detection](https://doi.org/10.1186/s43093-026-01015-0) | [Future Business Journal](https://scholar4ai.com/journals/future-business-journal.md) | Tanvir Sajid, Sajida Hafeez | National Textile University |
| 2026-10-03 | [Causal-driven attribution (CDA): estimating channel influence without user-level data](https://doi.org/10.1057/s41270-026-00535-6) | [Journal of Marketing Analytics](https://scholar4ai.com/journals/journal-of-marketing-analytics.md) | Georgios Filippou, Boi Mai Quach, Diana Lenghel et al. | Trinity College Dublin |
| 2026-10-01 | [Shapley-based feature valuation with human feedback in data markets](https://doi.org/10.1016/j.knosys.2026.117253) | [Knowledge-Based Systems](https://scholar4ai.com/journals/knowledge-based-systems.md) | Bo Yin, Tianxu Wang | Changsha University of Science and Technology |
| 2026-10-01 | [A domain-aware explainable AI framework for multi-class intrusion detection with cybersecurity-oriented semantic interpretation](https://doi.org/10.1007/s00521-026-12597-9) | [Neural Computing and Applications](https://scholar4ai.com/journals/neural-computing-and-applications.md) | Salah ElDin Zaher Olaymi | Taibah University |
| 2026-10-01 | [A self-monitoring explainable AI decision-support architecture for pre-publication content decisions in public-sector communication](https://doi.org/10.1016/j.knosys.2026.117219) | [Knowledge-Based Systems](https://scholar4ai.com/journals/knowledge-based-systems.md) | Sebastian Paul, Arne Johannssen | Harz University of Applied Sciences |
| 2026-10-01 | [An explainable and expert knowledge-enhanced hierarchical supervised learning approach for egg hatchability prediction in cyber-physical systems](https://doi.org/10.1016/j.eswa.2026.134841) | [Expert Systems with Applications](https://scholar4ai.com/journals/expert-systems-with-applications.md) | Qingguo Wu, Tianteng Wang, David Jingjun Xu et al. | Northwest A&F University; City University of Hong Kong; Chongqing University; … |
| 2026-10-01 | [Explainable AI-driven machine and deep learning models for state-of-health estimation of EV batteries in IoT-based 6G networks](https://doi.org/10.1007/s00521-026-12491-4) | [Neural Computing and Applications](https://scholar4ai.com/journals/neural-computing-and-applications.md) | Hesham Ali Sakr, Mostafa Fouda, Ahmed F. Ashour et al. | Egypt-Japan University of Science and Technology; Sohar University; Idaho State University; … |
| 2026-10-01 | [Alzheimer’s multimodal diagnosis: enhancing cross-attention between speech and text](https://doi.org/10.1007/s00521-026-12482-5) | [Neural Computing and Applications](https://scholar4ai.com/journals/neural-computing-and-applications.md) | Kewen Ding, Azadeh Noori Hoshyar, Tanusri Bhattacharya et al. | Federation University; Western Sydney University; Myer Foundation; … |
| 2026-10-01 | [SYNAPSE-X: a calibration-aware vision transformer framework for selective referral in multi-class brain tumor MRI classification](https://doi.org/10.1007/s00521-026-12608-9) | [Neural Computing and Applications](https://scholar4ai.com/journals/neural-computing-and-applications.md) | Sadaf Tabatabaee, Mohammad T. Khasawneh | Binghamton University |
| 2026-10-01 | [Multi-Objective evolutionary scheduling of a Human-Centric Five-Objective Job-Shop Problem: A Problem-Type study with explainability and simulated human feedback](https://doi.org/10.1016/j.cie.2026.112451) | [Computers & Industrial Engineering](https://scholar4ai.com/journals/computers-industrial-engineering.md) | Burak Gülmez | University College Dublin |
| 2026-10-01 | [Channel operations and performance improvement of a green supply chain considering risk aversion and carbon abatement](https://doi.org/10.1016/j.ejor.2026.10.001) | [European Journal of Operational Research](https://scholar4ai.com/journals/european-journal-of-operational-research.md) | Qingguo Bai, Shihao Liu, Guoqing Zhang | Qufu Normal University; University of Windsor |
| 2026-10-01 | [Predicting repayment delays in Italian real estate crowdfunding: Evidence from a machine learning approach](https://doi.org/10.1016/j.jeconbus.2026.106343) | [Journal of Economics and Business](https://scholar4ai.com/journals/journal-of-economics-and-business.md) | Mattia Fasano, Ivan Nania, Raffaele Staglianò | University of Messina |
| 2026-10-01 | [ARCHEX: explaining models through archetypal decomposition for discovering complementary patterns in model interpretability](https://doi.org/10.1007/s10489-026-07506-5) | [Applied Intelligence](https://scholar4ai.com/journals/applied-intelligence.md) | Abraham Itzhak Weinberg |  |
| 2026-10-01 | [Increased interpretability of simultaneous peak water flow estimation using monotonic neural networks](https://doi.org/10.1007/s00521-026-12496-z) | [Neural Computing and Applications](https://scholar4ai.com/journals/neural-computing-and-applications.md) | Sebastian Ferreyro Fernandez, Lynne Barbara Jack, Sarat C. Dass | Heriot-Watt University; Heriot-Watt University Malaysia |
| 2026-10-01 | [The evolution of robo-advisors in FinTech: a global bibliometric and thematic analysis, review and future agenda](https://doi.org/10.1016/j.eswa.2026.134573) | [Expert Systems with Applications](https://scholar4ai.com/journals/expert-systems-with-applications.md) | Falak Khan, Abdullah Al Hejaili, Natalia Kryvinska et al. | National University of Computer and Emerging Sciences; University of Tabuk; Comenius University Bratislava |
| 2026-10-01 | [Detection of causality in sentences: a comparative study of ensemble and non-ensemble approaches across embedding paradigms with explainable AI](https://doi.org/10.1186/s40537-026-01553-y) | [Journal Of Big Data](https://scholar4ai.com/journals/journal-of-big-data.md) | C. H. Rohith, K. B. Sivachandra, Neethu Mohan et al. | Amrita Vishwa Vidyapeetham; Universitat Pompeu Fabra |
| 2026-10-01 | [Explainable machine learning models and GPT-4 recommendations for ESG performance evaluation in the logistics sector](https://doi.org/10.1016/j.cie.2026.112426) | [Computers & Industrial Engineering](https://scholar4ai.com/journals/computers-industrial-engineering.md) | Rambabu Juvvala | Indian Institute of Management Mumbai |
| 2026-10-01 | [Integrable elasticity via neural demand potentials](https://doi.org/10.1016/j.eswa.2026.134600) | [Expert Systems with Applications](https://scholar4ai.com/journals/expert-systems-with-applications.md) | Carlos Heredia, Daniel Roncel |  |
| 2026-10-01 | [Coherent Local Explanations for Mathematical Optimization](https://doi.org/10.1016/j.orl.2026.107549) | [Operations Research Letters](https://scholar4ai.com/journals/operations-research-letters.md) | Daan Otto, Jannis Kurtz, Ş. İlker Birbil | Amsterdam University College; Amsterdam University of Applied Sciences; University of Amsterdam |
| 2026-09-30 | [Explaining deceptive language in topical discourse: Integrating transformer models and explainable AI using LIME and SHAP for transparent text-based deception detection](https://doi.org/10.1016/j.ipm.2026.105213) | [Information Processing & Management](https://scholar4ai.com/journals/information-processing-management.md) | Bjanka Vrljić, Ivica Botički | University of Zagreb; Faculty of Electrical Engineering and Computing in Zagreb |
| 2026-09-30 | [Dynamics and determinants of exporter survival: A machine learning approach](https://doi.org/10.1016/j.ijindorg.2026.103340) | [International Journal of Industrial Organization](https://scholar4ai.com/journals/international-journal-of-industrial-organization.md) | Abyaya Neopane | Australian National University |
| 2026-09-30 | [Fault recognition approach applied to a rotating machine supported by hydrodynamic bearings using explainable artificial intelligence](https://doi.org/10.1007/s10489-026-07491-9) | [Applied Intelligence](https://scholar4ai.com/journals/applied-intelligence.md) | Daniel F. Goncalves, Aldemir Ap Cavalini, Valder Steffen | Universidade Federal de Uberlândia |
| 2026-09-28 | [Self-Organized Context Dependent Processing in Neural Networks](https://doi.org/10.1007/s12559-026-10624-4) | [Cognitive Computation](https://scholar4ai.com/journals/cognitive-computation.md) | Hao GuangFu, Yang Chen, Sainan Qin et al. | Chinese Academy of Sciences; Institute of Automation; University of Chinese Academy of Sciences; … |
| 2026-09-28 | [A multidimensional trustworthiness evaluation framework for AI-enabled clinical decision support: a HER2 breast cancer case study](https://doi.org/10.1186/s43093-026-01017-y) | [Future Business Journal](https://scholar4ai.com/journals/future-business-journal.md) | Hoda Waguih | Sadat Academy for Management Sciences |
| 2026-09-28 | [CausalCACTUS: A Causally Consistent and Context-Aware Framework for Counterfactual Explanations](https://doi.org/10.1007/s10994-026-07155-2) | [Machine Learning](https://scholar4ai.com/journals/machine-learning.md) | Zhendong Wang, Diego García, José María Enguita et al. | KTH Royal Institute of Technology; Universidad de Oviedo |
| 2026-09-27 | [Do digital platforms delocalise consumer activity? Platform services, retail agglomeration and the localisation of neighbourhood dining and shopping](https://doi.org/10.1016/j.jretconser.2026.105121) | [Journal of Retailing and Consumer Services](https://scholar4ai.com/journals/journal-of-retailing-and-consumer-services.md) | Tianren Yang, Wenzhou Liu, Pengjun Zhao | Shenzhen University; University of Hong Kong; Peking University |
| 2026-09-27 | [Predicting customer conversion in multi-channel digital marketing: an interpretable modelling approach](https://doi.org/10.1186/s43093-026-01010-5) | [Future Business Journal](https://scholar4ai.com/journals/future-business-journal.md) | S. A. R. Waidyalankara, D. M. Y. Dulansa, G. A. M. Premarathne et al. | University of Sri Jayewardenepura |

## Cite this page

Scholar4AI. (2026). Shapley value (SHAP). Journal Research Rankings. Retrieved October 26, 2026, from https://scholar4ai.com/equations/shapley-value-shap

```bibtex
@misc{scholar4ai-equations-shapley-value-shap,
  author = {{Scholar4AI}},
  title = {Shapley value (SHAP)},
  year = {2026},
  howpublished = {\url{https://scholar4ai.com/equations/shapley-value-shap}},
  urldate = {2026-10-26},
  note = {Journal Research Rankings; data from OpenAlex (CC0); licensed CC BY-NC 4.0}
}
```

License: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/).