[in Japanese]

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[in Japanese]

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This paper proposes a method for the automatic rendition of performances without losing any characteristics of the specific performer. In many of existing methods, users are required to input expertise such as possessed by the performer. Although they are useful in support of users'own performances, they are not suitable for the purpose of this proposal. The proposed method defines a model that associates the feature quantities of expression extracted from the case of actual performance with its directions that can be surely retrieved from musical score without using expertise. By classifying expressive tendency of the expression of the model for each case of performance using the criteria based on score directions, the rules that elucidate the causal relationship between the performer's specific performance expression and the score directions systematically can be structured. The candidates of the performance cases corresponding to the unseen score directions is obtained by tracing this structure. Dynamic programming is applied to solve the problem of searching the sequence of performance cases with the optimal expression from among these candidates. Objective evaluations indicated that the proposed method is able to efficiently render optimal performances. From subjective evaluations, the quality of rendered expression by the proposed method was confirmed. It was also shown that the characteristics of the performer could be reproduced even in various compositions. Furthermore, performances rendered via the proposed method have won the first prize in the autonomous section of a performance rendering contest for computer systems.

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This paper considers additive decompositions by proper monotone set functions (i.e., monotone set functions with proper support), and investigates whether it is possible to have additive decompositions for 2-monotone set functions (i.e., monotone, supermodular set functions), by monotone set functions with proper support which is called a "decomposability question." The authors propose a computational approach by formulating the convex polyhedral cone of 2-monotone set functions, and by examining the generators of the cone for further decomposability over proper monotone set functions. This enables to numerically resolve the decomposability question in a finite steps of procedure. The authors have tested the proposed method for five- and six-element sets, and obtained a positive answer to the question for the five-element set and a negative one for the six-element set.

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Several colors have been used on the face marks by line drawing in computer-mediated communication. Using facial expressions by line drawing, we examined how colors acted on recognition of facial expressions. In Experiment 1, we examined the effects of facial colors (red, blue, and yellow) on the emotional recognition from the facial expressions. In Experiment 2, we examined how the background colors of face marks influenced the recognition of emotions from the facial expressions. The results from both the experiments suggested that people could easily use the elements of the face marks in emotional recognition, and that people could be influenced by the facial or background colors in emotional recognition from facial expressions. In Experiment 1, red enhanced the recognition of happiness and anger emotions, and blue enhanced the recognition of sadness and restrained that of happiness. In Experiment 2, red and yellow of the background enhanced the recognition of happiness, and blue did that of sadness.

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As for the other expressions of the Choquet integral with respect to non-additive measures, there are the ones using the Inclusion-exclusion integral or Möbius transform. In this paper another expression called T-formula is shown, which was proposed in 2013 by the author. In order to calculate the Choquet integral with respect to capacities, permutation is required in advance. Using this formula, such a permutation is not necessary. The purposes of this paper are to show that the Choquet integral is derived from the T-formula and to propose an easy method of calculating the Choquet integral using the T-formula with an example, where it suffices to use only the database function in Excel 2007 to obtain the solution.

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