Estimation of discrepancy of color qualia using Kullback-Leibler divergence.

Qualia have traditionally been considered difficult to measure objectively, but with the recent spread of fMRI (functional Magnetic Resonance Imaging) and other techniques, various experimental efforts have been made. In this paper, focusing on the qualia for color, we created 6 colors with different RGB values for reference colors of RED, light GREEN, BLUE, YELLOW, and PURPLE, and showed them to 306 subjects. For example, for RED and 5 generated colors, we asked them, "Choose a color that you feel is RED," and asked them to choose. A probability density function was defined for each of the five generated colors and the reference color, which is the primary color of RED, light GREEN, BLUE, YELLOW, and PURPLE, and the Kullback-Leibler divergence between the probability density function of the reference color and the generated color was calculated, the relationship between the number of samples of the selected color and the Kullback-Leibler divergence was obtained, and the difference in color sensation-qualia was calculated accordingly. As a result, it was confirmed that the larger the distance of the Kullback-Leibler divergence, the smaller the number of samples, but that the distribution shape in which the number of samples decreased for each color differed greatly. This suggests that if we see a color such as RED to PURPLE, we are randomly choosing a color that "feels."

Modeling of will and consciousness based on the human language: Interpretation of qualia and psychological consciousness.

In a previous paper, the authors proposed a mathematical definition of a public language and a new model of consciousness based on that public language. Consciousness spans a wide range of disciplines, including medicine, philosophy, mathematics, physics, and psychology, and it is desirable that the model of consciousness should also be able to answer questions of consciousness in each discipline. This paper applies the HLbC model proposed by the authors to the question of psychological consciousness and examines whether it can explain the phenomenon. Regarding the problem of so-called optical illusions, such as Rubin's vase, it can be explained by the fact that consciousness is caused by a stochastic fluctuation of consciousness with respect to figures that can be interpreted in multiple ways. Empathy and mutual understanding are also proposed to be mathematically represented and understood in terms of the Kullback-Leibler divergence, which is the basis of the HLbC model. Furthermore, the HLbC model was applied to prospect theory, the basis of behavioural economics, and confirmed that its properties can be successfully explained. From the above, we confirmed that the proposed HLbC model can explain the phenomenon of psychological consciousness.

Mathematical definition of human language, and modeling of will and consciousness based on the human language.

To propose a mathematical model of consciousness and will, we first simulated the inverted qualia with a toy model of a neural network. As a result, we confirmed that there can be an inverted qualia on the neural network. In other words, the qualia were individual-dependent and considered difficult as an indicator of consciousness and will. To solve that difficulty, we introduce a probability space and a random variable into a set of qualia and define a human language for events. Based on this idea of human language, consciousness and will are modeled. In this proposal, future actions are randomly selected from the comparison between "recognition of events" by external observation and past episodic memory, and the actual "recognition of actions" is regarded as the occurrence of consciousness. The basic formula is also derived. This proposal is compared with other past philosophical discussions.