教員一覧 List of faculty members
KATORI Yuichi 教授
KATORI, Yuichi Professor
KATORI Yuichi Professor
KATORI YuichiBelongs:
Department of Complex and Intelligent Systems; Information Architecture (Graduate School) Complex Systems Information Science (Graduate School) Intelligent Information Science (Graduate School)
Field of Study
Mathematical model of the brain, brain-like artificial intelligencePrevious employment/history
Tokyo UniversitySubjects in charge (undergraduate)
Analysis I & II, Chaos & Fractals I, Introduction to Data ScienceSubjects taught (Graduate School)
Advanced Topics in Nonlinear MathematicsBachelor of Science
PhD (Science)
KATORI, Yuichi Professor
Affiliation:
Department of Complex and Intelligent Systems、 Media Architecture Field、 Complex System Information Science Field、 Intelligent Information Science Field
Research Fields
Mathematical modeling, Computational neuroscienceAcademic Background
The University of TokyoDegree
Ph.D. (in Science)Links
Katori Laboratory page (For details and updates, click here)
Research Vision
I believe that intelligence is not a static set of calculation rules, but rather a phenomenon that emerges within dynamics that change over time.
This research treats neural circuits as high-dimensional nonlinear dynamic systems and aims to elucidate how information representation, integration, prediction, and reorganization occur based on dynamical systems theory. Through concepts such as attractor structure reconstruction, bifurcation phenomena, and chaos dynamics, we aim to provide a unified description of the principles of flexible information processing in the brain.
Furthermore, we aim to extend these dynamic principles to reservoir computing and physical reservoirs, and establish design principles for energy-efficient brain-inspired artificial intelligence (Brain-inspired AI). We strive to systematize intelligence science based on dynamics, bridging theoretical analysis, numerical calculations, and experimental verification.
Research Projects
Our laboratory focuses on elucidating the information processing principles of the brain and applying them to artificial intelligence through theoretical analysis and computer implementation of neural circuit models, based on nonlinear dynamics and dynamical systems theory.
The brain is a nonlinear, dynamic network of numerous nerve cells interacting with each other, and its behavior has a complex structure that includes temporal context. In this research, we will elucidate the mechanisms of dynamic information processing through the construction of mathematical models, bifurcation analysis, and numerical simulations.
In particular, we are working on the theoretical construction and application development of time-series information processing models, especially reservoir computing. We describe concepts such as predictive coding and multisensory integration as dynamic networks, and are also considering applications to physical reservoirs and ultra-low power edge AI.
Main research themes
- Analysis of neural circuit models based on nonlinear dynamical systems
- The theory and applications of reservoir computing
- Predictive coding and dynamic information processing
- Dynamical analysis of expression switching in the prefrontal cortex
- Physical reservoir calculations using biological neural circuits
Research achievements
A multi-sensory speech recognition model integrating dynamic predictive coding and reservoir computation.
We proposed a hierarchical neural network model integrating predictive coding theory and reservoir computing, demonstrating robust performance even in noisy environments in a multisensory speech recognition task. We incorporated a weighting mechanism based on sensory confidence into the dynamic network and clarified how recursive connections extract temporal contextual information. We present a theoretical framework that describes multisensory integration as a "dynamic prediction process."
Demonstration of physical reservoir calculations using biological neural circuits
We measured the multicellular responses of cultured neural networks using optogenetic stimulation and calcium imaging, and analyzed them using a reservoir computation framework. We demonstrated that biological neural circuits with modular structures can achieve speech classification by leveraging short-term memory characteristics, and further demonstrated that their internal dynamics function as a "generalization filter." This result lays the foundation for the implementation of physical reservoirs based on biological neural circuits.
Elucidating the dynamic mechanism of expression switching in the prefrontal cortex model.
We constructed a spiking neural circuit model including dynamic synapses and reproduced the representation switching phenomenon in the prefrontal cortex. We theoretically analyzed the process by which multiple attractor sets are reorganized according to the task context as a branching phenomenon in a dynamical system. We present a framework for describing the neural circuit mechanisms supporting flexible cognitive functions as a reorganization of dynamics.
Proposal of a high-dimensional dynamic reservoir based on a pseudo-billiard system
We proposed a novel reservoir structure utilizing pseudo-billiard dynamics within a hypercube. We introduced a mechanism that controls chaotic time evolution and guarantees echo-state properties. We demonstrate a new principle of time-domain information processing utilizing continuous-time dynamics and suggest its potential for hardware implementation.
Major publications and papers
- Yoshihiro Yonemura, Yuichi Katori, “Dynamic predictive coding with reservoir computing performs noise-robust multi-sensory speech recognition,” Frontiers in Computational Neuroscience, 18, 1464603 (12pages), DOI:10.3389/fncom.2024.1464603, (2024).
- Takuma Sumi, Hideaki Yamamoto, Yuichi Katori, Koki Ito, Satoshi Moriya, Tomohiro Konno, Shigeo Sato, Ayumi Hirano-Iwata, “Biological neurons act as generalization filters in reservoir computing,” The Proceedings of the National Academy of Sciences (PNAS), 120, (25), e2217008120 (10 pages), DOI:10.1073/pnas.2217008120, (2023).
- Yoshihiro Yonemura, Yuichi Katori, “Network Model of Predictive Coding Based on Reservoir Computing for Multi-Modal Processing of Visual and Auditory Signals,” Nonlinear Theory and Its Applications, IEICE, 12, (2), pp.143-156, DOI:10.1587/nolta.12.143, (2021).
- Keita Tokuda, Naoya Fujiwara, Akihito Sudo, Yuichi Katori, “Chaos may enhance expressivity in cerebellar granular layer,” Neural Networks, 136, pp.72-86, DOI:10.1016/j.neunet.2020.12.020, (2021) (*Recipient of the Japan Neural Network Society Paper Award).
- Yuichi Katori, Hakaru Tamukoh, Takashi Morie, “Reservoir Computing Based on Dynamics of Pseudo-Billiard System in Hypercube,” 2019 International Joint Conference on Neural Network (IJCNN2019), N-20372 (8 pages), (2019) (*IJCNN2019 Best Paper Award winner).
- Yuichi Katori, Kazuhiro Sakamoto, Naohiro Saito, Jun Tanji, Hajime Mushiake, Kazuyuki Aihara, “Representational Switching by Dynamical Reorganization of Attractor Structure in a Network Model of the Prefrontal Cortex”, PLoS Computational Biology, 7 (11): e1002266, (2011).
- KATORI Yuichi, Chapter in the book: "Mathematical Models of Neural Circuits," *Handbook of Applied Mathematics*, Asakura Shoten, ISBN: 978-4-254-11141-5, (2013 2013 )
- Ichiya Aihara, Shigeki Tsuji, Yuichi Katori, Kazuyuki Aihara, Chapter in the book: "Mathematical Modeling of the Brain," *Introduction to Phenomenological Mathematics*, University of Tokyo Press, ISBN: 978-4130629164, (2013 2013 )
Research Contents
My major research interest is mathematical modelling of neural system and its applications. I have several interest including mathematical theory for modeling of biophysical system like a neural network of the brain and its application for physiology, medical science, and engineering. Current objectives are 1) to establish mathematical frameworks for analyzing network dynamics, statistical analysis, and data-driven modelling, 2) to elcidate pricipal of information processing on the brain with the modelling of the neural newotk and collaboration with physiologists, and 3) to develop a new framework of information processing based on the neural dynamics.
Achievements
Modeling and analyses of spiking neural network with dynamic synapses as a local circuit of the prefrontal cortex contributing to the planning and execution of sequential action generation and flexible information representation. Constructed the leaky integrate-and-fire based network model and derive the corresponding mean field model for bifurcation analysis of population neural dynamics. Successfully modeled and reproduced the electrophysiological data observed in primates during a related task.
Modeling and analyses of map-based stochastic neural network with dynamics synapses. Based on the statistical physics approach, derived the mean field model and performed bifurcation analysis on the uniformly connected network and on the associative memory network, which exhibits sequential memory retrieval.
Modeling and analyses of spiking neural network with electrical couplings as a local circuit of inferior olive nucleus, which contribute to the motor learning in cerebellum. Quantitatively modeled the conductance-based neural network with electrophysiological data. Analyzed its bifurcation structure and found that pharmacological treatments on the nucleus cause bifurcation of the neural dynamics. Further, estimated parameters with Bayesian approach. Analyzed information transfer efficacy on the bases of information theory.
Designed neuromorphic hardware with FPGA implementation of spiking neural network. Designed neural dynamics with minimal hardware resource consumption, preserving the phase-plane and bifurcation structure. Implemented this neuron to FPGAs as an associative memory network and evaluated its performance.
Major Books and Papers
- Yuichi Katori, “Mathematical models of neural network”, Handbook on applied mathematics, Asakura-Publishing, Tokyo, Japan, (in Japanese).
- Ikkyu Aihara, Shigeki Tsuji, Yuichi Katori, Kazuyuki Aihara, “Mathematical modeling of the brain”, Introduction to Phenomenological mathematics, University of Tokyo Press, Tokyo, Japan, (in Japanese).
- Yuichi Katori, Yosuke Otsubo, Masato Okada, Kazuyuki Aihara, “Associative Memory Network with Dynamic Synapses”, Advances in Cognitive Neurodynamics Vol.4, Springer, (2014).
- Yuichi Katori, Kazuhiro Sakamoto, Naohiro Saito, Jun Tanji, Hajime Mushiake, Kazuyuki Aihara, “Representational Switching by Dynamical Reorganization of Attractor Structure in a Network Model of the Prefrontal Cortex”, PLoS Computational Biology, 7 (11): e1002266, (2011).
- Yuichi Katori, Yosuke Otsubo, Masato Okada, Kazuyuki Aihara, “Stability analysis of associative memory network composed of stochastic neurons and dynamic synapses”, Frontiers in Neuroscience, Vol. 7, 6, pp.1-12,.
- Yuichi Katori, Eric J. Lang, Miho Onizuka, Mistuo Kawato, Kazuyuki Aihara, “Quantitative Modeling on Spatio-temporal Dynamics of Inferior Olive Neurons with Simple Conductance-based Model”, International Journal of Bifurcation and Chaos, Vol. 20 No. 3, 583-603, (2010).
- Yuichi Katori, Yasuhiko Igarashi, Masato Okada, Kazuyuki Aihara, “Stability Analysis of Stochastic Neural Network with Depression and Facilitation Synapses”, Journal of the Physical Society of Japan, 81, 114007, (2012).
- Jing Li, Yuichi Katori, Tahashi Kohno, “An FPGA-based silicon neuronal network with selectable excitability silicon neurons”, Frontiers in Neuroscience, Vol. 6, 183, (2012).
- Miho Onizuka, Huu Hoangm Mitsuo Kawato, Isao T. Tokuda, Nicolas Schweighofer, Yuichi Katori, Kazuyuki Aihara, Eric J Lang, Keisuke Toyama, “Solution to the Inverse Problem of estimating Gap-Junctional and Inhibitory Conductance in Inferior Olive Neurons from the Spike Trains by Network Model Simulation”, Neural Networks, Vol.47, pp.51-63, (2013).
- Yoshito Hirata, Yuichi Katori, Hidetoshi Shimokawa, Hideyuki Suzuki, Timothy A. Blenkinsop, Eric J. Lang, Kazuyuki Aihara, “Testing a neural coding hypothesis using surrogate data.”, Journal of Neuroscience Methods, Vol. 172 (2), pp. 312-322, (2008).
- Yuichi Katori, Naoki Masuda, Kazuyuki Aihara, “Dynamic switching of neural codes in networks with gap junctions”, Neural Networks, Vol. 19, Issue 10, 2006, 1463-1466, (2006).
- Yuichi Katori, “Simple algorithm for location estimation from Wi-Fi signal strength”, IEEE Intelligent Systems, Vol. 23, No. 1, p.10 (2008).
NEWS
Latest news related to "KATORI Yuichi"
Two doctoral (first-year) students jointly received the “Best Student Paper Award” at the international conference KJCCS2024.
Yoshitaka Ishikawa, a first-year doctoral student, received the "Best Student Paper Award" at the international conference NOLTA2023.
Professor Yuichi Katori and colleagues receive the Japan Neural Network Society Paper Award.
Yu Yoshino, a first-year doctoral student, received the "Junior Investigator Poster Award" at the international conference NEURO2022.
Kazuto Toyoda, a master's student, received the "Excellent Research Award" at an international research conference.
Yoshihiro Yonemura, a first-year doctoral student, received the Best Student Paper Award at an international conference on nonlinear science.
Arata, a second-year doctoral student, received the Encouragement Award at the Japan Neural Network Society Conference.
Demonstrating time-series signal generation using machine learning with cultured neurons—implementing the functionality of artificial neural networks into biological neural circuits—
AI approaching the brain: Echo state networks for unsupervised learning
Future University and Mathematics "Mathematics is a language." Mathematical thinking broadens communication and worldview!
Proposing and demonstrating "environmental computing," which uses natural phenomena as computational resources: A software anemometer using video of plant sway patterns.

















































