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Category Theory Approach to Solution Searching Based on Photoexcitation Transfer Dynamics

Strategic Planning Department, National Institute of Information and Communications Technology, 4-2-1 Nukui-kita, Koganei, Tokyo 184-8795, Japan
Faculty of Environment and Information Studies, Keio University, Fujisawa, Kanagawa 252-0882, Japan
Graduate School of Media and Governance, Keio University, 5322 Endo, Fujisawa, Kanagawa 252-0882, Japan
Nagahama Insitute of Bio-Science and Technology, 1266 Tamura-Cho, Nagahama, Shiga 526-0829, Japan
Shimosakamoto, Otsu, Shiga 520-0105, Japan
Graduate School of Information Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, Aichi 464-8601, Japan
Interdisciplinary Graduate School of Medicine and Engineering, University of Yamanashi, Takeda, Kofu, Yamanashi 400-8511, Japan
Author to whom correspondence should be addressed.
Academic Editor: Marcin J. Schroeder
Philosophies 2017, 2(3), 16;
Received: 8 December 2016 / Revised: 19 June 2017 / Accepted: 7 July 2017 / Published: 11 July 2017
Solution searching that accompanies combinatorial explosion is one of the most important issues in the age of artificial intelligence. Natural intelligence, which exploits natural processes for intelligent functions, is expected to help resolve or alleviate the difficulties of conventional computing paradigms and technologies. In fact, we have shown that a single-celled organism such as an amoeba can solve constraint satisfaction problems and related optimization problems as well as demonstrate experimental systems based on non-organic systems such as optical energy transfer involving near-field interactions. However, the fundamental mechanisms and limitations behind solution searching based on natural processes have not yet been understood. Herein, we present a theoretical background of solution searching based on optical excitation transfer from a category-theoretic standpoint. One important indication inspired by the category theory is that the satisfaction of short exact sequences is critical for an adequate computational operation that determines the flow of time for the system and is termed as “short-exact-sequence-based time.” In addition, the octahedral and braid structures known in triangulated categories provide a clear understanding of the underlying mechanisms, including a quantitative indication of the difficulties of obtaining solutions based on homology dimension. This study contributes to providing a fundamental background of natural intelligence. View Full-Text
Keywords: natural intelligence; solution searching; category theory natural intelligence; solution searching; category theory
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MDPI and ACS Style

Naruse, M.; Aono, M.; Kim, S.-J.; Saigo, H.; Ojima, I.; Okamura, K.; Hori, H. Category Theory Approach to Solution Searching Based on Photoexcitation Transfer Dynamics. Philosophies 2017, 2, 16.

AMA Style

Naruse M, Aono M, Kim S-J, Saigo H, Ojima I, Okamura K, Hori H. Category Theory Approach to Solution Searching Based on Photoexcitation Transfer Dynamics. Philosophies. 2017; 2(3):16.

Chicago/Turabian Style

Naruse, Makoto, Masashi Aono, Song-Ju Kim, Hayato Saigo, Izumi Ojima, Kazuya Okamura, and Hirokazu Hori. 2017. "Category Theory Approach to Solution Searching Based on Photoexcitation Transfer Dynamics" Philosophies 2, no. 3: 16.

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