Aoyagi Miki 青柳美輝

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AOYAGI Miki 青柳美輝

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Researcher Number	90338434
Other IDs
External Links
Affiliation (Current)	2025: 日本大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2019 – 2024: 日本大学, 理工学部, 教授 2018: 日本大学, 理工学部, 准教授 2013 – 2016: 日本大学, 理工学部, 准教授 2011 – 2012: 日本大学, 理工学部, 助教 2006: Tokyo Institute of Technology, Precision and intelligence Lab., Researcher, 精密工学研究所, 研究員 2004 – 2005: Sophia University, Mathematics, Assistant, 理工学部, 助手
Review Section/Research Field	Principal Investigator Basic Section 61040:Soft computing-related / Basic analysis / Sensitivity informatics/Soft computing Except Principal Investigator Basic analysis / Geometry
Keywords	Principal Investigator 学習係数 / 階層モデル / 特異点解消 / 特異学習モデル / 学習理論 / log canonical threshold / 特異モデル / 汎化誤差 / 機械学習 / 正規交差関数 … More / 学習モデルのゼータ関数 / 特異的モデル / ベイズ推定 / ゼータ関数 / 確率的複雑さ … More Except Principal Investigator 漸近展開 / non-Kaehler / Complex projective structure / Klein group / Extension of holomorphic map / Schwarz微分方程式 / Harotgs現象 / 複素多様体 / 非ケーラー多様体 / 複素射影構造 / クライン群 / 正則写像の拡張 / Gevrey estimate / multisummability / p-Laplace equation / generalized functions / formal solutions / asymptotic behavior / singularity of solutions / complex partial differential equations / 正定符号超関数 / 特異点をもつ解 / ゲルファントーシロフ空間 / CDF系 / Daubeschies Operator / Gevrey型誤差評価 / Gevrey評価 / 多重和可能 / p-ラプラス方程式 / 超関数 / 形式解 / 漸近挙動 / 解の特異点 / 複素偏微分方程式 / stochastic complexity / distribution with support in a cone / A-elliptic / totally characteristic / Fuchsian equation / multi-summable / Borel summable / asymptotic analysis / 熱核の方法 / 指数型超関数 / p楕円型方程式 / Fuchs型 / Borel総和可能 / nonlinear totally characteristic / 正の定符号型超関数 / 非線形偏微分方程式 / 確定特異点型 / multi-summability / 形式級数解 / 確率的複雑さ / 錐に台をもつ超関数 / p楕円型 / 全特性的 / フックス型方程式 / 多重総和可能 / ボレル総和可能 / 漸近解析 Less

代数幾何学の特異点論による機械学習理論の解析およびその応用Principal Investigator
- Principal Investigator
  
  青柳美輝
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 61040:Soft computing-related
- Research Institution
  Nihon University
機械学習理論における特異空間の幾何学的構造とその応用Principal Investigator
- Principal Investigator
  
  青柳美輝
- Project Period (FY)
  2018 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 61040:Soft computing-related
- Research Institution
  Nihon University
Consideration on singularities in learning theory by complex and real analysisPrincipal Investigator
- Principal Investigator
  
  AOYAGI Miki
- Project Period (FY)
  2011 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nihon University
Extension property of holomorphic maps and complex structures of the target manifolds
- Principal Investigator
  
  KATO Masahide
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Sophia University
学習理論における特異性とその代数幾何学的性質およびその応用Principal Investigator
- Principal Investigator
  
  青柳美輝
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Sensitivity informatics/Soft computing
- Research Institution
  Tokyo Institute of Technology
  Sophia University
Study of the structure of solutions of partial differential equations in the complex domain
- Principal Investigator
  
  OUCHI Sunao
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Sophia University
Asymptotic analytical study of differential equations
- Principal Investigator
  
  UCHIYAMA Koichi
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Sophia University

[Book] 学習システムの理論と実現2005
- Author(s)
  青柳美輝, 赤穂昭太郎, 岡田真人, 萩原克幸, 福水健次, 本村陽一, 渡辺澄夫
- Publisher
  森北出版(印刷中)
- Data Source
  KAKENHI-PROJECT-16700218
[Book] 学習システムの理論と実現2005
- Author(s)
  青柳美輝, 赤穂昭太郎, 岡田真人, 萩原克幸, 福水健次, 本村陽一, 渡辺澄夫
- Total Pages
  195
- Publisher
  森北出版
- Data Source
  KAKENHI-PROJECT-16700218
[Book] 学習システムの理論と実現2005
- Author(s)
  青柳美輝, 赤穂, 岡田, 萩原, 福水, 本村, 渡辺
- Publisher
  森北出版(印刷中)
- Data Source
  KAKENHI-PROJECT-15540186
[Journal Article] Consideration on the learning efficiency of multiple-layered neural networks with linear units2024
- Author(s)
  Miki Aoyagi
- Journal Title
  
  Neural Networks
  
  Volume: 172 Pages: 106132-106132
- DOI
  10.1016/j.neunet.2024.106132
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K11479
[Journal Article] 正規交差関数の平均場近似における自由エネルギーについて2023
- Author(s)
  青柳美輝
- Journal Title
  
  PRMU2022-127,IBISML2022-134
  
  Volume: 134 Pages: 374-383
- Data Source
  KAKENHI-PROJECT-18K11479
[Journal Article] Learning coefficients for hierarchical learning models in Bayesian Estimation2023
- Author(s)
  Miki Aoyagi, Keita Yamazaki and Tomoyasu Ohba
- Journal Title
  
  JSM Proceedings 2023
  
  Volume: 1
- Open Access
- Data Source
  KAKENHI-PROJECT-18K11479
[Journal Article] 深層線形ニューラルネットワークの学習係数について2022
- Author(s)
  伊藤龍二，青柳美輝，芦沢成海，塚本雄基，梶大介
- Journal Title
  
  IBISML2021-45(2022-03)
  
  Volume: 45 Pages: 46-52
- Data Source
  KAKENHI-PROJECT-18K11479
[Journal Article] 一次元混合正規分布の学習係数について2021
- Author(s)
  渡辺元気，伊藤龍二，青柳美輝
- Journal Title
  
  IBISML2020
  
  Volume: 48 Pages: 40-46
- Data Source
  KAKENHI-PROJECT-18K11479
[Journal Article] Learning Coefficient of Vandermonde Matrix-Type Singularities in Model Selection2019
- Author(s)
  Miki Aoyagi
- Journal Title
  
  Entropy (Information Theory, Probability and Statistics)
  
  Volume: 21(6) Issue: 6 Pages: 1-12
- DOI
  10.3390/e21060561
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K11479
[Journal Article] Learning coefficients and information criteria2019
- Author(s)
  Miki Aoyagi
- Journal Title
  
  Frontiers in Artificial Intelligence and Applications
  
  Volume: 5 Pages: 351-362
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K11479
[Journal Article] モデル選択における情報量基準について（Information criteria in model selection)2018
- Author(s)
  椎名颯太　青柳美輝
- Journal Title
  
  日本大学理工学部学術講演会予稿集
  
  Volume: 62 Pages: 1201-1202
- Open Access
- Data Source
  KAKENHI-PROJECT-18K11479
[Journal Article] 学習係数の解析による特異ベイズ情報量基準の改良2018
- Author(s)
  鈴木沙也加　椎名颯太　青柳美輝
- Journal Title
  
  IBISML2017-100
  
  Volume: 100 Pages: 71-76
- Data Source
  KAKENHI-PROJECT-18K11479
[Journal Article] Learning coefficients and reproducing true probability functions in learning systems2017
- Author(s)
  Miki Aoyagi
- Journal Title
  
  New Trends in Analysis and Interdisciplinary Applications, Trends in Mathematics
  
  Volume: １０ Pages: 347-353
- DOI
  10.1007/978-3-319-48812-7_44
- ISBN
  9783319488103, 9783319488127
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23540224
[Journal Article] ベイズ推定とギブズ推定2016
- Author(s)
  岡田憲相, 青柳美輝
- Journal Title
  
  日本大学理工学部学術講演会予稿集
  
  Volume: 60 Pages: 1200-1201
- Data Source
  KAKENHI-PROJECT-23540224
[Journal Article] 学習理論と学習係数2015
- Author(s)
  青柳美輝　岡田憲相
- Journal Title
  
  数理解析研究所講究録, 再生核の応用についての総合的な研究
  
  Volume: 1980 Pages: 220-233
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23540224
[Journal Article] Learning coefficients and reproducing true probability functions in learning systems2015
- Author(s)
  Miki Aoyagi
- Journal Title
  
  The tenth ISAAC Congress
  
  Volume: 10
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23540224
[Journal Article] 学習理論における特異性と特異点解消について2014
- Author(s)
  高村京輔青柳美輝
- Journal Title
  
  日本大学理工学部学術講演会
  
  Volume: 58 Pages: 1307-1308
- Data Source
  KAKENHI-PROJECT-23540224
[Journal Article] Learning coefficient in Bayesian estimation of restricted Boltzmann machine2013
- Author(s)
  Miki Aoyagi
- Journal Title
  
  Journal of Algebraic Statistics
  
  Volume: 4 Pages: 30-57
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540224
[Journal Article] Consideration on Singularities in Learning Theory and the Learning Coefficient2013
- Author(s)
  Miki Aoyagi
- Journal Title
  
  Entropy
  
  Volume: 15 Issue: 9 Pages: 3714-3733
- DOI
  10.3390/e15093714
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540224
[Journal Article] Learning coefficient of generalization error in Bayesian estimation and Vandermonde matrix type singularity2012
- Author(s)
  Miki Aoyagi and Kenji Nagata
- Journal Title
  
  Neural Computation
  
  Volume: 24, Issue 6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540224
[Journal Article] Generalization Error of Three Layered Learning Model in Bayesian Estimation2006
- Author(s)
  Miki Aoyagi, Sumio Watanabe
- Journal Title
  
  Proceedings of the Second IASTED International Conference on Computational Intelligence 2
  
  Pages: 405-410
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] Eye Direction by Stereo Image Processing using Corneal Reflection on an Iris2006
- Author(s)
  Kumiko Tsuji, Miki Aoyagi
- Journal Title
  
  Proceedings of the Second IASTED International Conference on Computational Intelligence 2
  
  Pages: 355-360
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] Stochastic complexities of reduced rank regression in Bayesian estimation2005
- Author(s)
  Miki Aoyagi
- Journal Title
  
  Neural Networks 18
  
  Pages: 924-933
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540094
[Journal Article] A modified genetic algorithm for feature clustering2005
- Author(s)
  Miki Aoyagi, Kumiko Tsuji
- Journal Title
  
  Finite or Infinite Dimensional complex Analysis and Applications
  
  Pages: 9-16
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] Stochastic Complexities of Reduced Rank Regression in Bayesian Estimation2005
- Author(s)
  Miki Aoyagi
- Journal Title
  
  Neural Networks 18
  
  Pages: 924-933
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540094
[Journal Article] 特異点解消とニューラルネットワークのベイズ推定における汎化誤差2005
- Author(s)
  M.Aoyagi
- Journal Title
  
  電子情報通信学会和文論文誌 J88-D-II, 10
  
  Pages: 2112-2124
- NAID
  110003224123
- Data Source
  KAKENHI-PROJECT-17540094
[Journal Article] Stochastic Complexities of Reduced Rank Regression in Bayesian Estimation2005
- Author(s)
  Miki Aoyagi, Sumio Watanabe
- Journal Title
  
  Neural Networks 18
  
  Pages: 924-933
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] The maximum pole of the zeta function for learning theory2005
- Author(s)
  Miki Aoyagi, Sumio Watanabe
- Journal Title
  
  Finite of Infinite Dimensional Complex Analysis and Applications
  
  Pages: 17-24
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] Stochastic Complexities of Reduced Rank Regression in Bayesian Estimation2005
- Author(s)
  M.Aoyagi
- Journal Title
  
  Neural Networks. 18
  
  Pages: 924-933
- Data Source
  KAKENHI-PROJECT-17540094
[Journal Article] Stochastic Complexities of Reduced Rank Regression in Bayesian Estimation2005
- Author(s)
  Miki Aoyagi, Sumio Watanabe
- Journal Title
  
  Neural Networks 18
  
  Pages: 924-933
- Data Source
  KAKENHI-PROJECT-16540170
[Journal Article] 特異点解消とニューラルネットワークのベイズ推定における汎化誤差2005
- Author(s)
  Miki Aoyagi, Sumio Watanabe
- Journal Title
  
  電子情報通信学会和文論文誌DII J88.10
  
  Pages: 2112-2124
- NAID
  110003224123
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] A modified genetic algorithm for image segmentation based on feature clustering2004
- Author(s)
  Miki Aoyagi, Kumiko Tsuji
- Journal Title
  
  International Symposium on Information Theory and its Applications
  
  Pages: 1074-1079
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] Stochastic complexity and Newton diagram2004
- Author(s)
  K.Yamazaki, M.Aoyagi, S.Watanabe
- Journal Title
  
  Int.Symp.Information Theory and it Appl.ISITA 2004 Parma Italy
  
  Pages: 105-110
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540186
[Journal Article] The Generalization Error of Reduced Rank Regression in Bayesian Estimation2004
- Author(s)
  Miki Aoyagi, Sumio Watanabe
- Journal Title
  
  International Symposium on Information Theory and its Applications
  
  Pages: 1068-1073
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] The Generalization Error of Reduced Rank Regression in Bayesian Estimation2004
- Author(s)
  Miki Aoyagi
- Journal Title
  
  International Symposium on Information Theory and its Applications,(Parma, Italy)
  
  Pages: 1068-1073
- Data Source
  KAKENHI-PROJECT-16540170
[Journal Article] The Generalization Error of Reduced Rank Regression Models and Resolution of Singularities2004
- Author(s)
  Miki Aoyagi, Sumio Watanabe
- Journal Title
  
  Technical report of IEICE, NC2004
  
  Pages: 13-18
- NAID
  110003232648
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] Kullback Information of Normal Mixture is not an Analytic Function2004
- Author(s)
  Sumio Watanabe, Keisuke Yamazaki, Miki Aoyagi
- Journal Title
  
  Technical report of IEICE, NC2004
  
  Pages: 41-46
- NAID
  110003232653
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] Stochastic complexity and Newton diagram2004
- Author(s)
  K.Yamazaki, M.Aoyagi, S.Watanabe
- Journal Title
  
  Int.Symp.Information Theory and its Appl.ISITA 2004,Parma, Italy
  
  Pages: 105-110
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540186
[Journal Article] Stochastic Complexity and Newton Diagram2004
- Author(s)
  Keisuke Yamazaki, Miki Aoyagi, Sumio Watanabe
- Journal Title
  
  International Symposium on Information Theory and its Applications
  
  Pages: 105-110
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] The zeta function of learning theory and generalization error of three layered neural perceptron
- Author(s)
  Miki Aoyagi
- Journal Title
  
  数理解析研究所講究録,Recent Topics on Real and Complex Singularities (In press)
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] The zeta function for learning theory and resolution of singularities
- Author(s)
  Miki Aoyagi, Sumio Watanabe
- Journal Title
  
  Proceedings of the 5th ISAAC Congress (印刷中)
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] The zeta function for learning theory and resolution of Singularities
- Author(s)
  Miki Aoyagi, Sumio Watanabe
- Journal Title
  
  Proceedings of the 5th ISAAC Congress 5(In press)
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] Resolution of Singularities and the Generalization Error with Bayesian Estimation for Layered Neural Network
- Author(s)
  Miki Aoyagi, Sumio Watanabe
- Journal Title
  
  Systems and Computers in Japan (In press)
- NAID
  110003224123
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] Stochastic Complexities of Reduced Rank Regression in Bayesian Estimation
- Author(s)
  Miki Aoyagi, Sumio Watanabe
- Journal Title
  
  Neural Network (To appear)
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] Eye direction by stereo image processing
- Author(s)
  Kumiko Tsuji, Miki Aoyagi
- Journal Title
  
  Proceedings of the 5th ISAAC Congress 5(In press)
- Data Source
  KAKENHI-PROJECT-16700218
[Journal Article] The generalization error of reduced rank regression in Baysian Estimation
- Author(s)
  M.Aoyagi, S.Watanabe
- Journal Title
  
  Neural Network (To appear)
- Data Source
  KAKENHI-PROJECT-15540186
[Journal Article] Eye direction by stereo image processing.
- Author(s)
  Miki Aoyagi, Kumiko Tsuji
- Journal Title
  
  Proceedings of the 5th ISAAC Congress, (印刷中)
- Data Source
  KAKENHI-PROJECT-16700218
[Presentation] 深層線形ニューラルネットワークの学習係数について2023
- Author(s)
  青柳美輝
- Organizer
  IBISML2022
- Data Source
  KAKENHI-PROJECT-18K11479
[Presentation] Singular leaning theory and algebraic geometry2023
- Author(s)
  Miki Aoyagi
- Organizer
  Conference on Singular Learning Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K11479
[Presentation] Learning coefficients and normal crossing divisors in algebraic geometry2023
- Author(s)
  Miki Aoyagi
- Organizer
  Entropy-eCon2023 (Edition1)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K11479
[Presentation] Leaning coefficients for hierarchical learning models in Bayesian estimation2023
- Author(s)
  Miki Aoyagi
- Organizer
  Algebraic and geometric methods in inference in 2023 Joint Statistical Meetings,
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K11479
[Presentation] 深層線形ニューラルネットワークの学習係数について2022
- Author(s)
  青柳美輝
- Organizer
  IBISML2022
- Data Source
  KAKENHI-PROJECT-18K11479
[Presentation] 一次元混合正規分布の学習係数について2021
- Author(s)
  青柳美輝
- Organizer
  IBISML2020
- Data Source
  KAKENHI-PROJECT-18K11479
[Presentation] Learning coefficients and information criteria2019
- Author(s)
  Miki Aoyagi
- Organizer
  The 5th international conference on Fuzzy systems and data mining
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K11479
[Presentation] ベイズ推定とギブズ推定2017
- Author(s)
  岡田憲相, 青柳美輝
- Organizer
  日本大学理工学部学術講演会
- Place of Presentation
  日本大学理工学部(東京都千代田区）
- Data Source
  KAKENHI-PROJECT-23540224
[Presentation] Learning coefficients and reproducing true probability functions in learning systems2015
- Author(s)
  Miki Aoyagi
- Organizer
  The tenth ISAAC Congress
- Place of Presentation
  Macau, China
- Year and Date
  2015-08-03
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23540224
[Presentation] 学習理論と学習係数2015
- Author(s)
  青柳美輝　岡田憲相
- Organizer
  RIMS Symposium, 再生核の応用についての総合的な研究
- Place of Presentation
  数理解析研究所(京都府・京都市）
- Year and Date
  2015-10-07
- Data Source
  KAKENHI-PROJECT-23540224
[Presentation] Learning coefficient and singular fluctuation in statistical learning theory2012
- Author(s)
  Miki Aoyagi
- Organizer
  Algebraic Statistics in the Alleghenies
- Place of Presentation
  The Pennsylvania State University
- Invited
- Data Source
  KAKENHI-PROJECT-23540224
[Presentation] Consideration on singularities in learning theory and real log canonical threshold
- Author(s)
  Miki Aoyagi
- Organizer
  Singular learning theory: connecting algebraic geometry and model selection in statistics(招待講演)
- Place of Presentation
  AIM Research Conference Center (ARCC), Palo Alto, USA
- Data Source
  KAKENHI-PROJECT-23540224

1. TAHARA Hidetoshi (60101028)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. UCHIYAMA Koichi (20053689)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. OUCHI Sunao (00087082)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. YOSHINO Kunio (60138378)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. HIRATA Hitoshi (20266076)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. GOTO Satoshi (00286759)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. KATO Masahide (90062679)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. TSUJI Hajime (30172000)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. YOKOYAMA Kazuo (10053711)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. YAMADA Mikiko (70384170)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 谷口肇 (40053657)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Aoyagi Miki 青柳 美輝

AOYAGI Miki 青柳 美輝

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代数幾何学の特異点論による機械学習理論の解析およびその応用Principal Investigator

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機械学習理論における特異空間の幾何学的構造とその応用Principal Investigator

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Consideration on singularities in learning theory by complex and real analysisPrincipal Investigator

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Extension property of holomorphic maps and complex structures of the target manifolds

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学習理論における特異性とその代数幾何学的性質およびその応用Principal Investigator

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Study of the structure of solutions of partial differential equations in the complex domain

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Asymptotic analytical study of differential equations

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[Book] 学習システムの理論と実現2005

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[Book] 学習システムの理論と実現2005

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[Book] 学習システムの理論と実現2005

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[Journal Article] Consideration on the learning efficiency of multiple-layered neural networks with linear units2024

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[Journal Article] 正規交差関数の平均場近似における自由エネルギーについて2023

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[Journal Article] Learning coefficients for hierarchical learning models in Bayesian Estimation2023

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[Journal Article] 深層線形ニューラルネットワークの学習係数について2022

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[Journal Article] 一次元混合正規分布の学習係数について2021

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Aoyagi Miki 青柳美輝

AOYAGI Miki 青柳美輝