Fair Bandits Ensure Minimum Exposure with Time-Varying Floors

Ibne Farabi Shihab, Joyanta Jyoti Mondal, Anuj Sharma· July 28, 2026 View original

Summary

This research introduces a novel framework for stochastic bandits that guarantees minimum exposure constraints for providers or groups, even with time-varying floors. It uses a discrepancy-rounding approach to achieve exact feasibility and significantly improved regret bounds, outperforming tuned Lagrangian baselines.

Researchers have developed a new framework for stochastic bandits that addresses the critical problem of ensuring minimum exposure constraints, which are vital in applications like recommendation systems and content curation. Unlike previous methods that often struggled with guaranteeing exposure within specific periods, this approach focuses on exact exposure floors, including those that vary over time. The core innovation lies in treating the problem as a rounding challenge, where a fractional fair schedule is converted into integral pulls, with exposure error managed by a discrepancy vector. The proposed blockwise model, BDQ-UCB, deterministically satisfies block floors and achieves fair regret governed by the non-mandatory budget, not the total horizon. This leads to significantly improved regret bounds and instance-dependent optimality. The framework also extends to complex scenarios with overlapping group floors, demonstrating superior feasibility and regret compared to existing methods, making it highly practical for regulated allocation and fair resource distribution.

Why it matters

This work is crucial for platforms and services that need to balance optimization with fairness and regulatory compliance, ensuring all providers or content groups receive guaranteed visibility without sacrificing overall performance.

How to implement this in your domain

  1. 1Evaluate the BDQ-UCB algorithm for recommendation systems or content platforms requiring minimum exposure guarantees.
  2. 2Consult with data scientists to integrate discrepancy-rounding techniques into existing bandit algorithms.
  3. 3Apply the framework to ensure fair allocation of resources or opportunities in regulated environments.
  4. 4Experiment with the MOSS residual variant for improved regret bounds in specific use cases.

Who benefits

E-commerceMedia & EntertainmentAdvertisingSocial MediaRegulatory Compliance

Key takeaways

  • New fair bandit algorithms guarantee minimum exposure constraints for items or groups.
  • The approach uses discrepancy rounding for exact feasibility, even with time-varying floors.
  • BDQ-UCB achieves significantly improved regret bounds, dependent on non-mandatory budget.
  • The framework is effective for complex overlapping group floors, outperforming existing baselines.

Original post by Ibne Farabi Shihab, Joyanta Jyoti Mondal, Anuj Sharma

"arXiv:2607.22935v1 Announce Type: new Abstract: Minimum-exposure constraints arise in recommendation, content curation, and regulated allocation when each provider, arm, or group must receive guaranteed exposure inside a period rather than only in aggregate. We study stochastic b…"

View on X

Originally posted by Ibne Farabi Shihab, Joyanta Jyoti Mondal, Anuj Sharma on X · view source

Want to go deeper?

Turn these trends into skills with Learnijoy's hands-on AI & tech courses.

Explore courses