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Prediction-sharing During Training and Inference (2403.17515v1)

Published 26 Mar 2024 in econ.TH, cs.AI, cs.GT, cs.LG, and cs.MA

Abstract: Two firms are engaged in a competitive prediction task. Each firm has two sources of data -- labeled historical data and unlabeled inference-time data -- and uses the former to derive a prediction model, and the latter to make predictions on new instances. We study data-sharing contracts between the firms. The novelty of our study is to introduce and highlight the differences between contracts that share prediction models only, contracts to share inference-time predictions only, and contracts to share both. Our analysis proceeds on three levels. First, we develop a general Bayesian framework that facilitates our study. Second, we narrow our focus to two natural settings within this framework: (i) a setting in which the accuracy of each firm's prediction model is common knowledge, but the correlation between the respective models is unknown; and (ii) a setting in which two hypotheses exist regarding the optimal predictor, and one of the firms has a structural advantage in deducing it. Within these two settings we study optimal contract choice. More specifically, we find the individually rational and Pareto-optimal contracts for some notable cases, and describe specific settings where each of the different sharing contracts emerge as optimal. Finally, in the third level of our analysis we demonstrate the applicability of our concepts in a synthetic simulation using real loan data.

Summary

  • The paper demonstrates that prediction-sharing during training and inference can be optimized using a robust Bayesian framework to achieve Pareto-optimal outcomes.
  • It analyzes distinct models—correlation-based and two-hypotheses—to determine when limited sharing like train-sharing or infer-sharing enhances predictive accuracy.
  • Empirical simulations with real lending data validate the theoretical insights, offering practical guidelines for data-sharing policies in competitive machine learning.

Analytical Review: "Prediction-sharing During Training and Inference"

The paper "Prediction-sharing During Training and Inference" by Yotam Gafni, Ronen Gradwohl, and Moshe Tennenholtz provides an intricate exploration into the field of strategic machine learning where two firms, each equipped with unique data resources, participate in a prediction task under competitive settings. The paper's core innovation is its examination of the different data-sharing contracts that could exist between these firms, with particular emphasis on contracts that focus on sharing at distinct stages of the machine learning pipeline: training and inference. This targeted investigation offers nuanced insights into how competitive interactions in the predictive analytics domain might be structured and optimized.

Framework and Methodology

The authors introduce a robust Bayesian framework that forms the bedrock of their analysis, allowing for an elegant dissection of how sharing during training and/or inference impacts strategic decision-making. From this foundation, the discussion bifurcates into evaluating two rich, naturalistic settings:

  1. Correlation-Based Model: This model considers scenarios where the accuracy of each firm's predictive model is public knowledge, yet inter-firm model correlations remain ambiguous. Here, the investigation delineates what constitutes optimal contracts that are both individually rational and Pareto-optimal (IRPO).
  2. Two Hypotheses Model: This scenario explores situations where one firm has a comparative advantage in deducing the optimal hypothesis, illuminating how certain contracts are preferable when firms hold asymmetric informational power.

Within these settings, the authors methodically identify decision-making equilibria and the resultant utilities for each contract type. The intricate equilibrium analysis draws on solid game-theoretic principles and careful mathematical modeling.

Evaluation of Sharing Contracts

The paper identifies several distinct sharing contracts:

  • No-sharing
  • Train-sharing: Sharing occurs only during the training phase.
  • Infer-sharing: Sharing is limited to the inference phase.
  • Full-sharing: Data is shared in both phases.

The authors show that depending on the scenario (e.g., the degree of correlation in predictions), any of these contracts can emerge as uniquely optimal. Importantly, they identify circumstances under which full or train-sharing leads to improved outcomes for both firms. For instance, in settings with unknown correlations, such contracts can guide firms toward equilibrium strategies that strategically align their actions, enhancing measurable outcomes like prediction accuracy and utility.

Numerical Implications and Practical Simulation

Theoretical findings are complemented by synthetic simulations utilizing real-world data from a lending platform, LendingClub. This empirical mapping strengthens the theoretical underpinnings by showcasing the practical applicability and robustness under varying economic assumptions.

Mixed-methods evaluations reveal how equivalence changes between theoretical and practical settings, addressing both predictive accuracy and economic impacts of data-sharing policies. Notably, it appears that under certain parameterizations, sharing prediction outcomes might deliver utilities comparable to full data-sharing (total-sharing), albeit with preserved privacy and reduced operational complexity.

Implications and Future Directions

The implications of this work are multifaceted. Practically, the research informs policy-making around data-sharing standards, suggesting pathways through which firms might engage in mutually beneficial information exchange. Theoretically, it invites exploration into further dimensions of prediction-sharing, including settings with more than two players or dynamically changing competitive landscapes.

Future research can extend this framework to explore diverse industries where competitive forecasting and data-sharing are pivotal—ranging from financial services to healthcare diagnostics—while integrating more complex models of partial information revelation or asymmetric data evaluation costs.

In conclusion, this intricate paper on prediction-sharing contracts provides a critical lens into strategic behavior and cooperation potential in machine learning, presenting both theoretical rigor and practical insight into how firms can navigate and optimize competitive intelligence sharing.

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