Abstract
In complex tasks (beyond a single targeted controller) requiring robots to collaborate with multiple human users, two challenges arise: complex tasks are often composed of multiple behaviors which can only be evaluated as a collective (a meta-behavior) and user preferences often differ between individuals, yet successful interactions are expected across groups. To address these challenges, we formulate a set-wise preference learning problem, and validate a cost function that captures human group preferences for complex collaborative robotic tasks (cobotics). We develop a sparse optimization formulation to introduce a <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">distinctiveness</i> metric that aggregates individuals with similar preference profiles. Analysis of anonymized unlabelled preferences provides further insight into group preferences. Identification of the mode average most-preferred meta-behavior and minimum covariance bound allows us to analyze <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">group cohesion</i> . A user study with 43 participants is used to validate group preference profiles.
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