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Learning from Imperfect Human Feedback: A Tale from Corruption-Robust Dueling
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Studies dueling bandits with continuous actions and strongly concave utilities under decaying corruption (imperfect human feedback), proving a matching Omega(d max{sqrt T, T^rho}) lower bound and an efficient gradient-based RoSMID algorithm achieving Otilde(d max{sqrt T, T^rho}) regret.
Problem
Learning from imperfect human comparative feedback where utility corruption decays over time as t^(rho-1); the goal is regret minimization in continuous-action dueling bandits with concave utilities.
Approach
Model human imperfection as a decaying utility corruption of scale t^(rho-1) in a continuous-action dueling bandit, prove a matching lower bound, and build RoSMID, a corruption-aware stochastic mirror descent with learning rate sqrt(log T)/(d T^max{0.5,rho}), analyzed via a new regret decomposition into decision regret and feedback error with iterative regret refinement.
Key results
- Proves a regret lower bound Omega(d max{sqrt T, T^rho}) for learning from rho-imperfect human feedback, even when rho is known.
- RoSMID achieves Otilde(d max{sqrt T, T^rho}) regret, matching the lower bound up to log factors.
- Simulations with d=5, T=10^5 show estimated regret slopes below rho for rho in [0.5,1), and RoSMID performs best among compared methods (with Sparring comparable, Doubler worst).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use RoSMID instead of Doubler | Continuous dueling bandits with strongly concave utility and logistic link · ρ-imperfect human feedback simulations | regret | Helped |
| Use RoSMID instead of Sparring | Continuous dueling bandits with strongly concave utility and logistic link · ρ-imperfect human feedback simulations | regret | No clear effect |
| Use Doubler instead of RoSMID | Continuous dueling bandits with strongly concave utility and logistic link · ρ-imperfect human feedback simulations | regret | Hurt |
| Increase robustness using the tunable learning rate parameter α | RoSMID · No corruption | regret: \Omega\left(T^{\alpha}\right) | Hurt |
| Increase robustness using the tunable learning rate parameter α | DBGD · No corruption | regret: \Omega\left(T^{1-\alpha}\right) | Hurt |
Surprising findings
- Decaying corruption does not make learning easier: the lower bound matches the order of lower bounds for fully arbitrary adversarial corruption in dueling bandits.
- Doubler performs worst in experiments, attributed to its guarantees applying only to linear link functions.
Limitations
- Corruption is modeled as a decaying utility perturbation with known rho for the tight bound; the tight rate requires knowledge of rho.
- Experiments are limited to simulations with a quadratic utility and logistic link (d=5, T=10^5).
Experimental setup
Metrics: dueling regret
Baselines: DBGD Doubler Sparring
Builds on: NC-SMD Dueling Bandit Gradient Descent (DBGD) Sparring
Closest papers by meaning
- Neural Dueling Bandits: Preference-Based Optimization with Human Feedback (ICLR 2025 · similarity 0.89)
- Corruption-Robust Linear Bandits: Minimax Optimality and Gap-Dependent Misspecification (NeurIPS 2024 · similarity 0.89)
- Fusing Reward and Dueling Feedback in Stochastic Bandits (ICML 2025 · similarity 0.88)
- Variance-aware Regret Bounds for Stochastic Contextual Dueling Bandits (ICLR 2024 · similarity 0.88)
- Nearly Optimal Algorithms for Contextual Dueling Bandits from Adversarial Feedback (ICML 2025 · similarity 0.88)
- Robust Reinforcement Learning from Corrupted Human Feedback (NeurIPS 2024 · similarity 0.87)
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