Next Article in Journal
The Unreasonable Destructiveness of Political Correctness in Philosophy
Next Article in Special Issue
Computational Dynamics of Natural Information Morphology, Discretely Continuous
Previous Article in Journal
Political Correctness—Between Fiction and Social Reality
Previous Article in Special Issue
A New Kind of Aesthetics —The Mathematical Structure of the Aesthetic
Article Menu

Export Article

Open AccessArticle
Philosophies 2017, 2(3), 16; doi:10.3390/philosophies2030016

Category Theory Approach to Solution Searching Based on Photoexcitation Transfer Dynamics

1
Strategic Planning Department, National Institute of Information and Communications Technology, 4-2-1 Nukui-kita, Koganei, Tokyo 184-8795, Japan
2
Faculty of Environment and Information Studies, Keio University, Fujisawa, Kanagawa 252-0882, Japan
3
Graduate School of Media and Governance, Keio University, 5322 Endo, Fujisawa, Kanagawa 252-0882, Japan
4
Nagahama Insitute of Bio-Science and Technology, 1266 Tamura-Cho, Nagahama, Shiga 526-0829, Japan
5
Shimosakamoto, Otsu, Shiga 520-0105, Japan
6
Graduate School of Information Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, Aichi 464-8601, Japan
7
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
Received: 8 December 2016 / Revised: 19 June 2017 / Accepted: 7 July 2017 / Published: 11 July 2017
View Full-Text   |   Download PDF [4701 KB, uploaded 13 July 2017]   |  

Abstract

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
Figures

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

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.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Philosophies EISSN 2409-9287 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top