Misc - TANAKA Gouhei
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21aPS-5 Robustness of Coupled Heterogeneous Excitable and Periodic Oscillators
Morino Kai, Tanaka Gouhei, Aihara Kazuyuki
Meeting Abstracts of the Physical Society of Japan 70.1 ( 0 ) 2853 2015
Language：Japanese Publisher：The Physical Society of Japan
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17pPSA-52 Complex Phase Diagram of Coupled Heterogeneous Excitable and Periodic Phase Oscillators
Morino Kai, Tanaka Gouhei, Aihara Kazuyuki
Meeting Abstracts of the Physical Society of Japan 70.2 ( 0 ) 2704 2015
Language：Japanese Publisher：The Physical Society of Japan
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Wave-Based Device Scaling Concept for Brain-Like Energy Efficiency and Integration
Y. Katayama, T. Yamane, D. Nakano, R. Nakane, G. Tanaka
PROCEEDINGS OF THE 2015 IEEE/ACM INTERNATIONAL SYMPOSIUM ON NANOSCALE ARCHITECTURES (NANOARCH 15) 23 - 24 2015
Language：English Publisher：IEEE
Aiming at achieving brain-like capabilities and efficiencies with nano-scale integration, this paper proposes a new scaling concept for wave-based neuromorphic devices. Our scaling approach shows that v(g) the group velocity of a signaling wave is one of the essential parameters that can account for the orders-of-magnitude gaps in the efficiency of the human brain and VLSIs for cognitive tasks.
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Wave-Based Neuromorphic Computing Framework for Brain-Like Energy Efficiency and Integration
Y. Katayama, T. Yamane, D. Nakano, R. Nakane, G. Tanaka
2015 IEEE 15TH INTERNATIONAL CONFERENCE ON NANOTECHNOLOGY (IEEE-NANO) 1210 - 1213 2015
Language：English Publisher：IEEE
We present a framework of wave-based neuromorphic computing aiming at brain-like capabilities and efficiencies with nano-scale device integration. We take advantage of the unique nature of elastic wave dynamics in both computations and the IO communications in between as a means to efficiently implement and execute neuromorphic computing. We point out that the group velocity of a wave is one of the essential design parameters.
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疎結合を持つモジュラー型自己連想ニューラルネットワークの特性解析
ヤマネ トシユキ, タナカ ゴウヘイ, ナカノ ダイジュ
電子情報通信学会技術研究報告 = IEICE technical report : 信学技報 114 ( 306 ) 351 - 356 2014.11
Language：Japanese Publisher：The Institute of Electronics, Information and Communication Engineers
We report the performance analysis of auto-associative neural networks on modular structures. We focus on the sparse modules to reduce the wiring complexity for hardware implementation. The local iterative Hebbian rules is employed which can be applied to arbitrary network topologies and the relations between modular structures and auto-associative capability is investigated.
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Hopfield-type associative memory with sparse modular networks
Gouhei Tanaka, Toshiyuki Yamane, Daiju Nakano, Ryosho Nakane, Yasunao Katayama
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 8834 255 - 262 2014.01
© Springer International Publishing Switzerland 2014. Modular structures are ubiquitously found in the brain and neural networks. Inspired by the biological networks, we explore Hopfieldtype recurrent neural networks with sparse modular connectivity for associative memory. We first show that an iterative learning algorithm, which determines the connection weights depending on the network topology, yields better performance than the one-shot learning rule. We then examine the topological factors which govern the memory capacity of the sparse modular neural network. Numerical results suggest that the uniformity of the number of connections per neuron is an essential condition for good performance. We discuss a method to design an energy-efficient neural network.
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On the analysis of the bifurcation sets of equilibrium points in parameter space
G. Chesi, G. Tanaka, Y. Hirata, K. Aihara
2013 European Control Conference, ECC 2013 670 - 675 2013.12
This paper addresses the problems of characterizing and estimating the bifurcation sets of equilibrium points in multi-parameter space of a class of nonlinear dynamical systems. Specifically, we investigate the sets of parameters that lead to saddle-node bifurcations and Hopf bifurcations at an equilibrium point of interest. First, a characterization of these sets is provided in terms of the zeros of some functions. Second, this characterization is exploited to estimate such sets through convex programming for the case of polynomial dynamical systems. In particular, two conditions are proposed for establishing whether a sublevel set of a given polynomial does not contain parameters that lead to bifurcations. By using these conditions, the largest of such sublevel sets can be estimated by solving an eigenvalue problem. Some numerical examples illustrate the proposed results. © 2013 EUCA.
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Oscillatory behavior of complex networks composed of active and selectively-inactivated phase oscillators.
Morino Kai, Tanaka Gouhei, Aihara Kazuyuki
Meeting Abstracts of the Physical Society of Japan 68 ( 0 ) 284 2013
Language：Japanese Publisher：The Physical Society of Japan
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27pXM-6 Non-standard scaling law of fluctuations in globally coupled oscillators
Nishikawa I.
Meeting Abstracts of the Physical Society of Japan 68.1.2 ( 0 ) 359 2013
Language：Japanese Publisher：The Physical Society of Japan
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A mathematical model of rubella with heterogeneity of vaccination
Urabe Chiyori, Tanaka Gouhei, Mitsudo Tetsuya, Misaki Takako, Maruyama Aya, Oshima Takahiro, Okabe Nobuhiko, Aihara Kazuyuki
Meeting Abstracts of the Physical Society of Japan 68 ( 0 ) 281 2013
Language：Japanese Publisher：The Physical Society of Japan
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Analysis of Frequency Synchronization of the Power Grid in East Japan Using the Phase Model
NAGATA Motoki, FUJIWARA Naoya, NISHIKAWA Isao, TANAKA Gouhei, SUZUKI Hideyuki, AIHARA Kazuyuki
SEISAN KENKYU 65 ( 3 ) 295 - 299 2013
Language：Japanese Publisher：Institute of Industrial Science The University of Tokyo
After the Tohoku earthquake, it is becoming very important to ensure a stable energy supply because of the recent developments in renewable and decentralized energy. In order to stabilize the supply of power grids, it is useful to analyze mathematical models which describe the essence of dynamical processes of the grids. In this paper, we replicated the topology of the power grid in Eastern Japan and described power grids by phase models. We used the minimum coupling strength for global frequency synchronizationas a stability measure in power grids. Further, we identify transmission lines which contribute to a stable supply.
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An optimal control problem of dynamical vaccine allocation in an influenza epidemic model
山本 浩貴, 田中 剛平, 合原 一幸
生産研究 64 ( 3 ) 313 - 318 2012.05
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Dynamical modeling of chronic myeloid leukemia progression and the development of mutations
Ben-gong Zhang, Gouhei Tanaka, Luonan Chen, Kazuyuki Aihara
2012 IEEE INTERNATIONAL CONFERENCE ON BIOINFORMATICS AND BIOMEDICINE WORKSHOPS (BIBMW) 130 - 135 2012
Language：English Publisher：IEEE
Mathematical models have already been developed to describe the dynamics of the chronic myeloid leukemia (CML). However, most of them mainly focus on the short term dynamics and response to the treatment with drugs such as imatinib or the relapse upon cessation of treatment. In this paper, we aim to study the dynamics of CML which represents the first human cancer for the molecularly targeted therapy again. First, we propose a new mathematical model of CML which based on the known biology know ledges. And then we analyze its qualitative and dynamical properties. Combining the clinical data and theoretical analysis, we demonstrate that our model is biologically plausible and also computationally viable. Second, we demonstrate that this model can characterize the dynamics of the CML infection and the development of mutation, and is also validated by clinical data.
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21aAE-10 Oscillatory behavior of mixed populations of active and inactive phase oscillators depends on the degrees in complex networks
Morino Kai, Tanaka Gouhei, Aihara Kazuyuki
Meeting Abstracts of the Physical Society of Japan 67 ( 0 ) 309 2012
Language：Japanese Publisher：The Physical Society of Japan
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1SC-04 Mathematical analysis of dynamical robustness in biological networks(1SC Frontiers in mathematical methods in biology,Symposium,The 50th Annual Meeting of the Biophysical Society of Japan)
Tanaka Gouhei, Morino Kai, Aihara Kazuyuki
Seibutsu Butsuri 52 ( 0 ) S3 - S4 2012
Language：English Publisher：The Biophysical Society of Japan General Incorporated Association
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An optimal control problem of dynamical vaccine allocation in an influenza epidemic model
YAMAMOTO Hiroki, TANAKA Gouhei, AIHARA Kazuyuki
SEISAN KENKYU 64 ( 3 ) 313 - 318 2012
Language：Japanese Publisher：Institute of Industrial Science The University of Tokyo
When a new influenza epidemic is going on, it is important to promptly plan the schedule of production and allocation of vaccines in order to mitigate the severity of the influenza. Because the production of vaccines starts after identification of the antigenic type of the spreading influenza virus, it is almost impossible to store adequate amounts of vaccines in advance. Therefore, it is necessary to timely produce and distribute the available vaccines under a daily and total limit. In this study, we formulate an optimal control problem on dynamical vaccine allocation that minimizes the number of fatalities or that of infections in an age-structured influenza epidemic model. By numerically solving this problem, we can obtain the optimal amount of vaccines allocated to each age-group on a moment-to-moment basis. We also demonstrate that the framework for optimal control of dynamical vaccine allocation is applicable to the concurrent epidemic model of seasonal and pandemic influenza.[This abstract is not included in the PDF]
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Mathematical Modelling of Complex Systems and Simulation
TANAKA Gouhei, OKU Makito, AIHARA Kazuyuki
シミュレーション 30 ( 4 ) 236 - 241 2011.12
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Analysis of a learning algorithm for a single phasor neuron (Research on complex dynamics and related fields)
Tanaka Gouhei
RIMS Kokyuroku 1762 ( 1762 ) 1 - 12 2011.09
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Complex-Sigmoid Function for Complex-Valued Neural Networks (Dynamical Systems : Theories to Applications and Applications to Theories)
Tanaka Gouhei
RIMS Kokyuroku 1742 ( 1742 ) 145 - 157 2011.05
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Mathematical modelling of prostate cancer growth and its application to hormone therapy (vol 368, pg 5029, 2010)
Gouhei Tanaka, Yoshito Hirata, S. Larry Goldenberg, Nicholas Bruchovsky, Kazuyuki Aihara
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 369 ( 1935 ) 495 - 495 2011.01
