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Risk-Aware Preference Learning for Stochastic Outcomes

Summary

A study comparing Expected Utility (EU) and Cumulative Prospect Theory (CPT) for learning reward functions from human preferences in social robot navigation. Results show CPT-based learners recover reward functions with lower regret when users are risk-sensitive, highlighting the need to model human risk sensitivity.

SourcearXiv RoboticsAuthor: Yi-Shiuan Tung, Yuni Wu, Wei Jiang, Alessandro Roncone, Bradley Hayes
Risk-Aware Preference Learning for Stochastic Outcomes
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[Submitted on 16 Jul 2026]

Title:Risk-Aware Preference Learning for Stochastic Outcomes

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Abstract:Learning reward functions from human preferences is a widely used approach for aligning robot behavior with user expectations in human-robot interaction. Most existing approaches assume that humans evaluate uncertain outcomes using expected utility (EU), aggregating outcome utilities linearly with their probabilities. However, behavioral evidence shows that humans are systematically risk-sensitive, overweighting rare negative events and exhibiting loss aversion. We study the consequences of this mismatch in social robot navigation, where safety-critical outcomes (e.g., collisions) are rare but highly consequential. We compare EU with Cumulative Prospect Theory (CPT), a nonlinear model of human decision-making, within a Bradley-Terry preference learning framework. Our preliminary experiments show that when preferences are generated by risk-sensitive users, CPT-based learners recover reward functions with substantially lower regret compared to EU-based learners. Our results highlight the importance of modeling human risk sensitivity when learning rewards from preferences over stochastic robot outcomes.

Comments: ICRA 2026 Workshop on Bridging the Gap between Robot Learning and Human-Robot Interaction

Subjects:

Robotics (cs.RO)

Cite as: arXiv:2607.15483 [cs.RO]

(or arXiv:2607.15483v1 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2607.15483

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Yi-Shiuan Tung [view email] [v1] Thu, 16 Jul 2026 21:59:38 UTC (24,794 KB)

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Key points and analysis

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Key points

  • Traditional preference learning assumes expected utility, ignoring human risk sensitivity
  • Proposes using Cumulative Prospect Theory (CPT) to model human decision-making
  • Experiments show CPT outperforms EU in risk-sensitive scenarios
  • Critical for safety-critical applications like robot navigation

Highlights and analysis are generated automatically and may contain errors. Check the original source.