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本多ラボ Honda-Lab.


研究活動 Research activities

【口頭発表 Recent talks (2019-)】
●2019.3.22 電子情報通信学会 総合大会 IEICE general conference 2019
  "Perturbation on Quantum PageRank"
●2019.7.15 ComFoS19 
"Mathematical analysis of molecular communication network" (Invited speech)
https://sites.google.com/view/comfos19/
●2019.9.5 応用数理学会　年会 JSIAM annual conference 2019
"Mathematical analysis of reservoir computing"
●2019.11.15 金沢大学「微分方程式とデータサイエンス」第1回
Joined and talked in the conference "Differential equations and data science" @Kanazawa univ.
"Analysis on graphon-based reservoir computing"
http://scheme.hn/deds/
●2020.2.20 ICAIIC2020 
"Reservoir computing with inertial manifold"
http://www.wikicfp.com/cfp/servlet/event.showcfp?eventid=91115
●2020.3.5 応用数理学会　部会連合発表会(大会中止、講演は見なし成立)
 JSIAM conference (Canceled, but regarded as presented)
"On reservoir computing with inertial form"
●2020.3.17 日本数学会　年会(大会中止、講演は見なし成立)
 MSJ Spring Meeting 2020 (Canceled, but regarded as presented)
"Mathematical analysis on a target detection model"
●2020.3.18 電子情報通信学会　総合大会(大会中止、講演は見なし成立)
 IEICE general conference 2020 (Canceled, but regarded as presented)
"On graph limit of sparse digraphs"
●2020.9.8 応用数理学会　年会 JSIAM conference
"Approximating multi-layer neural network by an optimal control of PDE"
●2020.9.18 電子情報通信学会　ソサエティ大会 IEICE general conference 2020 
"Continuous limit of neural network"
●2020.11.17 NOLTA2020 "On Continuous Limit of Neural Network"
●2021.3.9 電子情報通信学会　総合大会
 IEICE general conference 2021
"マイクログリッドによる電力網のレジリエンス向上の一検討"
●2021.3.19 日本数学会 2021年 年会（オンライン）
MSJ Spring Meeting 2021(online)
"Continuous limit of neural network-based multiclass classification"
●2021.4.15 ICAIIC2021 
"A novel framework for reservoir computing with inertial manifolds"
http://icaiic.org/wp-content/uploads/2021/04/ICAIIC2021_Detailed_Program_2104009_v1.pdf
●2021.9.7 応用数理学会　年会 JSIAM annual conference 2021 
"On universal approximation property of a partial differential equation-based neural network"
●2021.9.16 電子情報通信学会　ソサエティ大会 IEICE general conference 2021 
"On universal approximation property and Barnsley operator" 
●2021.9.17 日本数学会 2021 秋季総合分科会 MSJ Autumn meeting 2021 
"On partial differential equation-based neural network with additional parameters" 
●2021.12.15 
Hirotada Honda, Pham Thu Thao, Tam Xiuyao, Cung Viet Duy, and Mamoru Miyazawa,
"On the extension of reservoir computing with an inertial form",
Proc. the 3rd Russia-Japan Workshop "Mathematical analysis of fracture phenomena for elastic structures and its applications" (ComFoS21), December 2021.
●2022.3.8 応用数理学会　部会連合発表会 JSIAM joint conference
"Application of mean field game to dimensionality reduction"
●2022.3.18 電子情報通信学会　総合大会
 IEICE general conference 2022
"Proposal of the GAN with a convex learner"
●2022.3.31 日本数学会 2022年 年会（オンライン開催に変更）
MSJ Spring Meeting 2022(changed to online conference)
"Revisiting the stability of GAN"





【論文 Recent papers (2019-)】
●Honda, H., Reservoir computing with an inertial form, SIAM Journal on Applied Dynamical Systems 20(2021), 1320--1347.
●Honda, H., A novel framework for reservoir computing with inertial manifolds, Proc. ICAIIC2021.
10.1109/ICAIIC51459.2021.9415194
●Honda, H., On a partial differential equation based Neural Network, IEICE Comex 10 (2021), 137--143. 
●Honda, H., On continuous limit of neural network, Proc. NOLTA2020.
●Honda, H. The sensitivity of a quantum PageRank. Japan J. Indust. Appl. Math. 37, 621–656 (2020). https://doi.org/10.1007/s13160-020-00410-6
●Honda,H., IMPROVING RESULTS FOR CUT AND OPERATOR NORMS ON GRAPHON,IJAM 33(2020),321--330.
●Honda,H., Reservoir computing with inertial manifold, Proc. ICAIIC2020.
●Honda,H. and Saito, H., Nation-Wide Disaster Avoidance Control Against Heavy Rain, IEEE/ACM Transactions on Networking 27(2019), 1084--1097.
●Honda,H.,On a model of target detection in molecular communication networks, NHM 14(2019),633--657.

主な研究テーマ Topics

偏微分方程式、関数解析、力学系
Partial differential equation , functional analysis and dynamical systems
・流体の偏微分方程式の数学解析
 Mathematical analysis on partial differential equation of fluid mechanics
・振動現象に関する偏微分方程式の数学解析
 Mathematical analysis on partial differential equation of oscillation
・無限次元力学系による体内メカニズムの長時間挙動の研究
 Global-in-time behavior of mechanism of human body based on infinite-dimensional dynamical system

確率過程、量子walkへの応用
Application to stochastic processes and quantum walk
PageRankアルゴリズム/量子PageRankの感度分析
Sensitivity analyses on Google/quantum PageRanks
機械学習への応用
Application to machine learning
ゲーム理論、最適輸送理論、関数解析、力学系理論の機械学習への応用
Applicatin of game theory, optimal transport, functional analysis and dynamical system to machine leaerning theory.
データ分析の理論、応用
Data analysis; theory and application
各種データ分析、被災回避への応用
Analyses of various kinds of of data, application to disaster avoidance.
データ分析の理論、応用
Data analysis; theory and application
各種データ分析、被災回避への応用
Analyses of various kinds of of data, application to disaster avoidance.