This paper explores a predictive game in which a Forecaster announces odds based on a time-homogeneous Markov kernel, establishing a game-theoretic law of large numbers for the relative frequencies of occurrences of all finite strings. A key feature of our proof is a betting strategy inspired by a universal coding scheme, drawing on the martingale convergence theorem and algorithmic randomness theory, without relying on a diversified betting approach that involves countably many operating accounts. We apply these insights to thermodynamics, offering a game-theoretic perspective on Leó Szilárd’s thought experiment.

Interactions with nature, such as experiencing the unexpected encounters with wildlife in a forest, can imprint the beauty of nature in our memories. In this context, this paper presents an experimental interface of such non-verbal interaction for HCI application designs through an imaginable interaction with nature by a Playful Rocksalt system. In order to make the experience, this study achieves the goal through two subsystes, Panorama-viewer of forest and Remote animal sensing. The former is an application by which users can look out over the forest landscape in all directions with a gyro-sensor inside PDA. The latter is a virtual system that allows users living in remote urban areas to interact with wild deer in a forest in real time. This novel design shows users how to realize a forest experience through the in their hands. This paper presented the Playful Rocksalt System by introducing interfaces and related discussion.

Tele Echo Tube (TET) is a speaking tube installation that acoustically interacts with a deep mountain echo through the slightly vibrating lampshade like interface. TET allows users to interact with the mountain echo living at 1,200 meter elevation in The University of Tokyo Forests (35°94-N,138°80-E) in real time through an augmented echo sounding experience with the vibration over a satellite data network through the position of Von Uexkull's "Umwelt". This novel interactive system can create an imaginable presence of the mythological creature in the undeveloped natural locations beyond our cultural and imaginable boundaries. In doing so, TET discovers the cultural cognitive processes of our imagination mechanism. Such a discovery would help us design an interactive system that leverages the boundary of the real and virtual worlds by engaging a culturally cognition to perform a nonhuman-centric interaction with a culturally imaginable creature.

Currently, human-computer interaction (HCI) is primarily focused on human-centric interactions; however, people experience many nonhuman-centric interactions during the course of a day. Interactions with nature, such as the experience of walking through a forest or unexpected encounter with wildlife, can imprint the beauty of nature in our memories. In this context, the present paper considers an experimental interface of such nonhuman interface for various PDA application designs through an imaginable interaction with nature. A virtual forest experience environment on PDA is made more realistic through two subsystems: "Panorama-viewer of forest" and "Remote animal sensing". The former is an application by which users can look out over the forest landscape in all directions with gyro-sensor inside PDA. The latter is a virtual system allowing users living in remote urban areas to experience interaction with wild deer in a forest virtually in real time. This novel design means that users can realize a forest experience through the PDA in their hands.

Currently, human-computer interaction (HCI) is primarily focused on human-centric interactions; however, people experience many nonhuman-centric interactions during the course of a day. Interactions with nature, such as experiencing the sounds of birds or trickling water, can imprint the beauty of nature in our memories. In this context, this paper presents an interface of such nonhuman interactions to observe people's reaction to the interactions through an imaginable interaction with a mythological creature. Tele Echo Tube (TET) is a speaking tube interface that acoustically interacts with a deep mountain echo through the slightly vibrating lampshade-like interface. TET allows users to interact with the mountain echo in real time through an augmented echo-sounding experience with the vibration over a satellite data network. This novel interactive system can create an imaginable presence of the mythological creature in the undeveloped natural locations beyond our cultural and imaginable boundaries. The results indicate that users take the reflection of the sound as a cue that triggers the nonlinguistic believability in the form of the mythological metaphor of the mountain echo. This echo-like experience of believable interaction in an augmented reality between a human and nature gave the users an imaginable presence of the mountain echo with a high degree of excitement. This paper describes the development and integration of nonhuman-centric design protocols, requirements, methods, and context evaluation.

Vovk's randomness criterion characterizes sequences that are random relative to two distinct computable probability measures. The uniqueness of the criterion lies in the fact that, unlike the standard criterion based on the likelihood ratio test, it is expressed in terms of a geometrical quantity, the Hellinger distance, on the space of probability measures. In this paper, we generalize the randomness criterion to a wider class of geometrical quantities, the -divergences with . The nonextendibility of the criterion across the boundaries is investigated in connection with the likelihood ratio test and information geometry.

This article explores the asymptotics of randomly generated vectors on extended Hilbert spaces. In particular, we are interested to know how "orthogonal" these vectors are. We investigate two types of asymptotic orthogonality, the weak orthogonality and the strong orthogonality, that are regarded as quantum analogs of the classical birthday problem and its variant. As regards the weak orthogonality, a new characterization of the von Neumann entropy is derived, and a mechanism behind the noiseless quantum channel coding theorem is clarified. As regards the strong orthogonality, on the other hand, a characterization of the quantum Renyl (1965) entropy of degree 2 is derived.

We explore some basic properties of coding theory of a general quantum communication channel and its operational capacity, including: 1) adaptive measurement with feedback code; 2) reconsideration of single-letterized capacity formula; and 3) pseudoclassicality of a channel.