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This paper introduces a concept of invariant to estimate the mental states of a person who is interacting with the artifact that has a cloned mentality of the particular person. The invariant in the paper is movements of the facial features that are always observed in the developmental process of the facial expressions expressing the identical mental states. The invariant acquired as the result of cloning the way to judge the mental state of the others by the target of cloning. The interpretation of the facial expression in the paper is done in a subjective manner. An extraction method of the invariants and the mental state estimation with the invariants are described in detail. A brief preliminary experiment shows that the proposed method has a possibility to clone the way by the target person to estimate the mental state from the facial expressions with the invariants.

Facial Expression Invariants for Estimating Mental States of Person