Model-based Pricing for Machine Learning in a Data Marketplace
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Abstract (arXiv)
Data analytics using machine learning (ML) has become ubiquitous in science, business intelligence, journalism and many other domains. While a lot of work focuses on reducing the training cost, inference runtime and storage cost of ML models, little work studies how to reduce the cost of data acquisition, which potentially leads to a loss of sellers' revenue and buyers' affordability and efficiency. In this paper, we propose a model-based pricing (MBP) framework, which instead of pricing the data, directly prices ML model instances. We first formally describe the desired properties of the MBP framework, with a focus on avoiding arbitrage. Next, we show a concrete realization of the MBP framework via a noise injection approach, which provably satisfies the desired formal properties. Based on the proposed framework, we then provide algorithmic solutions on how the seller can assign prices to models under different market scenarios (such as to maximize revenue). Finally, we conduct extensive experiments, which validate that the MBP framework can provide high revenue to the seller, high affordability to the buyer, and also operate on low runtime cost.
Key facts. Cited by 37 papers in the map (data through 13 Oct 2026). First posted on arXiv 26 May 2018.
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Citing papers per year: 2021: 3; 2022: 3; 2023: 9; 2024: 9; 2025: 8; 2026: 5.
37 papers.
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- 2024Towards Urban General Intelligence: A Review and Outlook of Urban Foundation Modelscited by 23
- 2022Fundamentals of Task-Agnostic Data Valuationcited by 19
- 2021Data Pricing in Machine Learning Pipelinescited by 17
- 2022Variance reduced Shapley value estimation for trustworthy data valuationcited by 16
- 2025Is Your LLM Overcharging You? Tokenization, Transparency, and Incentivescited by 13
- 2021Efficient Online ML API Selection for Multi-Label Classification Taskscited by 11
- 2021FL-Market: Trading Private Models in Federated Learningcited by 9
- 2023Data Acquisition: A New Frontier in Data-centric AIcited by 9
- 2023Delegating Data Collection in Decentralized Machine Learningcited by 8
- 2024Pricing and Competition for Generative AIcited by 8
- 2025Fairshare Data Pricing via Data Valuation for Large Language Modelscited by 7
- 2022HAPI: A Large-scale Longitudinal Dataset of Commercial ML API Predictionscited by 6
25 more
- 2023A Survey of Data Pricing for Data Marketplacescited by 6
- 2023Proof-of-Contribution-Based Design for Collaborative Machine Learning on Blockchaincited by 5
- 2023Addressing Budget Allocation and Revenue Allocation in Data Market Environments Using an Adaptive Sampling Algorithmcited by 5
- 2023Towards Open Federated Learning Platforms: Survey and Vision from Technical and Legal Perspectivescited by 3
- 2023Train 'n Trade: Foundations of Parameter Marketscited by 3
- 2025Evaluating Sample Utility for Efficient Data Selection by Mimicking Model Weightscited by 3
- 2025Learning Classifiers That Induce Marketscited by 3
- 2026A Sustainable AI Economy Needs Data Deals That Work for Generatorscited by 3
- 2024Towards Fair, Robust and Efficient Client Contribution Evaluation in Federated Learningcited by 2
- 2024Uncertainty Quantification of Data Shapley via Statistical Inferencecited by 2
- 2024Disentangled Structural and Featural Representation for Task-Agnostic Graph Valuationcited by 2
- 2024A Comprehensive Study of Shapley Value in Data Analyticscited by 2
- 2023Data valuation: The partial ordinal Shapley value for machine learningcited by 1
- 2024LossVal: Efficient Data Valuation for Neural Networkscited by 1
- 2026Local Shapley: Model-Induced Locality and Optimal Reuse in Data Valuationcited by 1
- 2023Optimal Pricing for Data-Augmented AutoML Marketplacescited by 0
- 2024Data Trading Combination Auction Mechanism based on the Exponential Mechanismcited by 0
- 2024Online Prompt Pricing based on Combinatorial Multi-Armed Bandit and Hierarchical Stackelberg Gamecited by 0
- 2025Data Valuation and Selection in a Federated Model Marketplacecited by 0
- 2025PrivaDE: Privacy-preserving Data Evaluation for Blockchain-based Data Marketplacescited by 0
- 2025TripleWin: Fixed-Point Equilibrium Pricing for Data-Model Coupled Marketscited by 0
- 2025Reliable and Private Utility Signaling for Data Marketscited by 0
- 2026Mechanism Design for Federated Learning with Non-Monotonic Network Effectscited by 0
- 2026Efficient Decentralized Multi-task Dataset Valuation via Model Mergingcited by 0
- 2026DaDaDa: A Dataset for Data Pricing in Data Marketplacescited by 0
- 2026Efficient Decentralized Multi-task Dataset Valuation via Model Merging3 Jul 2026
- 2026DaDaDa: A Dataset for Data Pricing in Data Marketplaces13 Jun 2026
- 2026Local Shapley: Model-Induced Locality and Optimal Reuse in Data Valuation4 Mar 2026
- 2026A Sustainable AI Economy Needs Data Deals That Work for Generators15 Jan 2026
- 2026Mechanism Design for Federated Learning with Non-Monotonic Network Effects8 Jan 2026
- 2025Reliable and Private Utility Signaling for Data Markets11 Nov 2025
- 2025TripleWin: Fixed-Point Equilibrium Pricing for Data-Model Coupled Markets5 Nov 2025
- 2025PrivaDE: Privacy-preserving Data Evaluation for Blockchain-based Data Marketplaces20 Oct 2025
- 2025Data Valuation and Selection in a Federated Model Marketplace9 Sep 2025
- 2025Is Your LLM Overcharging You? Tokenization, Transparency, and Incentives27 May 2025
- 2025Learning Classifiers That Induce Markets27 Feb 2025
- 2025Fairshare Data Pricing via Data Valuation for Large Language Models31 Jan 2025
25 more
- 2025Evaluating Sample Utility for Efficient Data Selection by Mimicking Model Weights12 Jan 2025
- 2024LossVal: Efficient Data Valuation for Neural Networks5 Dec 2024
- 2024A Comprehensive Study of Shapley Value in Data Analytics2 Dec 2024
- 2024Pricing and Competition for Generative AI4 Nov 2024
- 2024Disentangled Structural and Featural Representation for Task-Agnostic Graph Valuation22 Aug 2024
- 2024Uncertainty Quantification of Data Shapley via Statistical Inference28 Jul 2024
- 2024Online Prompt Pricing based on Combinatorial Multi-Armed Bandit and Hierarchical Stackelberg Game24 May 2024
- 2024Data Trading Combination Auction Mechanism based on the Exponential Mechanism12 May 2024
- 2024Towards Fair, Robust and Efficient Client Contribution Evaluation in Federated Learning6 Feb 2024
- 2024Towards Urban General Intelligence: A Review and Outlook of Urban Foundation Models30 Jan 2024
- 2023Train 'n Trade: Foundations of Parameter Markets7 Dec 2023
- 2023Data Acquisition: A New Frontier in Data-centric AI22 Nov 2023
- 2023Optimal Pricing for Data-Augmented AutoML Marketplaces27 Oct 2023
- 2023Delegating Data Collection in Decentralized Machine Learning4 Sep 2023
- 2023Towards Open Federated Learning Platforms: Survey and Vision from Technical and Legal Perspectives5 Jul 2023
- 2023Addressing Budget Allocation and Revenue Allocation in Data Market Environments Using an Adaptive Sampling Algorithm5 Jun 2023
- 2023Data valuation: The partial ordinal Shapley value for machine learning2 May 2023
- 2023A Survey of Data Pricing for Data Marketplaces7 Mar 2023
- 2023Proof-of-Contribution-Based Design for Collaborative Machine Learning on Blockchain27 Feb 2023
- 2022Variance reduced Shapley value estimation for trustworthy data valuation30 Oct 2022
- 2022HAPI: A Large-scale Longitudinal Dataset of Commercial ML API Predictions18 Sep 2022
- 2022Fundamentals of Task-Agnostic Data Valuation25 Aug 2022
- 2021Data Pricing in Machine Learning Pipelines18 Aug 2021
- 2021FL-Market: Trading Private Models in Federated Learning8 Jun 2021
- 2021Efficient Online ML API Selection for Multi-Label Classification Tasks18 Feb 2021
- 2024Towards Urban General Intelligence: A Review and Outlook of Urban Foundation Modelscited by 23
- 2022Fundamentals of Task-Agnostic Data Valuationcited by 19
- 2021Data Pricing in Machine Learning Pipelinescited by 17
- 2022Variance reduced Shapley value estimation for trustworthy data valuationcited by 16
- 2025Is Your LLM Overcharging You? Tokenization, Transparency, and Incentivescited by 13
- 2021Efficient Online ML API Selection for Multi-Label Classification Taskscited by 11
- 2021FL-Market: Trading Private Models in Federated Learningcited by 9
- 2023Data Acquisition: A New Frontier in Data-centric AIcited by 9
- 2023Delegating Data Collection in Decentralized Machine Learningcited by 8
- 2024Pricing and Competition for Generative AIcited by 8
- 2025Fairshare Data Pricing via Data Valuation for Large Language Modelscited by 7
- 2022HAPI: A Large-scale Longitudinal Dataset of Commercial ML API Predictionscited by 6
12 most cited of 37 All 37 (JSON)
- 2026Efficient Decentralized Multi-task Dataset Valuation via Model Merging3 Jul 2026
- 2026DaDaDa: A Dataset for Data Pricing in Data Marketplaces13 Jun 2026
- 2026Local Shapley: Model-Induced Locality and Optimal Reuse in Data Valuation4 Mar 2026
- 2026A Sustainable AI Economy Needs Data Deals That Work for Generators15 Jan 2026
- 2026Mechanism Design for Federated Learning with Non-Monotonic Network Effects8 Jan 2026
- 2025Reliable and Private Utility Signaling for Data Markets11 Nov 2025
- 2025TripleWin: Fixed-Point Equilibrium Pricing for Data-Model Coupled Markets5 Nov 2025
- 2025PrivaDE: Privacy-preserving Data Evaluation for Blockchain-based Data Marketplaces20 Oct 2025
- 2025Data Valuation and Selection in a Federated Model Marketplace9 Sep 2025
- 2025Is Your LLM Overcharging You? Tokenization, Transparency, and Incentives27 May 2025
- 2025Learning Classifiers That Induce Markets27 Feb 2025
- 2025Fairshare Data Pricing via Data Valuation for Large Language Models31 Jan 2025
12 newest of 37 All 37 (JSON)