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符号・球面デザイン・グループテストに内在する組合せデザイン とその最適性の研究

Research Project

Project/Area Number 15H03636
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionChubu University

Principal Investigator

神保 雅一  中部大学, 現代教育学部, 教授 (50103049)

Co-Investigator(Kenkyū-buntansha) 三嶋 美和子  岐阜大学, 工学部, 教授 (00283284)
繆 いん  筑波大学, システム情報系, 教授 (10302382)
盧 暁南  東京理科大学, 理工学部経営工学科, 助教 (10805683)
佐藤 潤也  名古屋大学, 情報学研究科, 准教授 (20235352)
澤 正憲  神戸大学, システム情報学研究科, 准教授 (50508182)
金森 敬文  東京工業大学, 情報理工学院, 教授 (60334546)
籾原 幸二  熊本大学, 大学院先端科学研究部(理), 准教授 (70613305)
城本 啓介  熊本大学, 大学院先端科学研究部(工), 教授 (00343666)
栗木 進二  大阪府立大学, 工学(系)研究科(研究院), 教授 (00167389)
Project Period (FY) 2015-04-01 – 2020-03-31
Project Status Granted (Fiscal Year 2019)
Budget Amount *help
¥16,640,000 (Direct Cost: ¥12,800,000、Indirect Cost: ¥3,840,000)
Fiscal Year 2019: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2018: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2016: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2015: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Keywords組合せ符号 / 組合せデザイン / locating array / 巡回最適準直交計画 / 巡回準直交配列 / グループテスト / 軌道の分解可能性 / 球面デザイン / Steiner quadruple system / 光直交符号 / 最小距離の大きい符号
Outline of Annual Research Achievements

本年度は下記の研究成果を得た.
(1)巡回型の組合せデザインおよび組合せ符号の構成法およびその巡回軌道の分解問題の研究(担当:神保,三嶋,籾原,佐藤,盧):巡回群の集合の直積への多重分解について新たな結果を得て,国際誌"Finite Field and its Applications"に掲載された.また,その結果と数論的道具を利用して,Grid-block差集合族の構成法を与えた.その結果は,国際誌"Discrete mathematics"にacceptされた.
(2)locating arrayの構成法および識別アルゴリズムの研究(担当:神保,繆,盧):locating arrayの代数的・数論的構成法を見出し,そのarrayの強さが漸近的に大きくできることを示した.また,locating arrayに関連して,covering array, ditecting arrayの研究動向を調べ,その構成法,下限界式などをまとめてsurvey paperを統計関係の論文誌に投稿した.
(3)今年度から,fMRIにおける推定のために用いられる強さ2の巡回準直交配列(cyclic almost orthogonal array)に関する研究を開始した.そして,その最適構造を特徴づけ,最適性をもつ配列の構成法を与えた.構成法には,数論的な手法が有効であることを見出し,さらに与えられた実験回数に対して,従来知られていた制約数を大きくできることを示した.さらに漸近的に最適な構造の特徴も明らかにし,その最適性を持つ配列の成約数が,従来の最適配列より2倍以上大きくできることも明らかにした.本研究成果は現在,論文としてまとめている.
(4)その他,分担者により,球面デザインなどの研究も行われ,様々な研究成果を得た.

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

下記のような理由で研究は順調に進展しているといえるであろう.
(1)2018年度は,巡回群の直積集合への多重分解について,これまでに得られた成果を論文として国際誌に投稿し,掲載された.また,それを応用してGrid-blockデザインの数論的構成法も得て論文として掲載することができた.
(2)locating arrayの数論的構成法を与え,その誤り訂正能力についても明らかにすることができた.さらに,covering array, ditecting arrayなども含めた研究動向をsurvey paperにまとめることにより,今後の研究の方向性を明らかにすることができた.
(3)2018年度当初は,考えていなかった巡回準直交配列(cyclic almost OA)の問題にチャレンジし,その最適構造の特徴を見出し,その構成法を与えた.これは与えられた実験回数の下で,従来の方法より制約数が大きい新たな構成法であり,また,漸近最適性を持つ配列の特徴を明らかにすることにより,さらに制約数が大きい数論的構成法を提示することもできた.これらの成果は,この研究を行っている統計学の研究者,組合せ論の研究者にアピールできる研究成果である.
(4)分担者らによる球面デザインの構成法にも新たな成果が得られており,論文として公表されている.

Strategy for Future Research Activity

2019年度は,本研究の最終年度であり,これまでの研究成果をまとめ論文として発表する,また,その成果をさらに発展させるとともに国際会議を開催して研究成果を発表し,情報発信,情報交換を行いたい.
(1)2019年度前半:locating arrayの構成法および誤り訂正能力を持つlocating arrayの構成法について,現在得られている研究成果をまとめ,論文として投稿する.また,その構成法の漸近最適性が成り立つか否かを確認したい.
(2)巡回準直交配列の最適性,漸近最適性およびそれらの数論的構成法について,これまでに得られた成果を論文としてまとめ,統計関係論文誌に投稿する.さらに,強さが3,4の場合についても最適構造を明らかにし,その構成法を与えたい.
(3)最小距離が大きい巡回符号の構成法についても,一定の成果が得られているが,それをまとめるとともに,その符号が持つ組合せデザインの構造を明らかにしたい.
(4)現在,球面デザインの最適性,構成法をまとめ,surveyも含めて,統計関係の論文誌に投稿する準備を行っているが,その成果物を早い機会にまとめる.

Report

(4 results)
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • 2015 Annual Research Report

Research Products

(100 results)

All 2019 2018 2017 2016 2015

All Journal Article Presentation Book

  • [Journal Article] Grid-block difference families and related combinatorial structures2019

    • Author(s)
      Lu Xiao-Nan、Satoh Junya、Jimbo Masakazu
    • Journal Title

      Discrete Mathematics

      Volume: 342 Pages: 2023-2032

    • DOI

      10.1016/j.disc.2019.03.020

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multifold factorizations of cyclic groups into subsets2019

    • Author(s)
      Yamada Kohei, Mishima Miwako, Satoh Junya, Jimbo Masakazu
    • Journal Title

      Finite Fields and Their Applications

      Volume: 56 Pages: 131-149

    • DOI

      10.1016/j.ffa.2018.11.007

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A construction of the fourth order rotatable designs invariant under the hyperoctahedral group2019

    • Author(s)
      H. Yamamoto, M. Hirao, M. Sawa
    • Journal Title

      Journal of Statistical Planning and Inference

      Volume: 200 Pages: 63-73

    • DOI

      10.1016/j.jspi.2018.09.005

    • NAID

      120006576464

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Constructions of skew Hadamard difference families2019

    • Author(s)
      Koji Momihara, Qing Xiang
    • Journal Title

      European Journal of Combinatorics

      Volume: 76 Pages: 73-81

    • DOI

      10.1016/j.ejc.2018.09.007

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Cyclotomy, difference sets, sequences with low correlation, strongly regular graphs, and related geometric substructures,2019

    • Author(s)
      Koji Momihara, Qi Wang, Qing Xiang
    • Journal Title

      Combinatorics and Finite Fields. Difference Sets, Polynomials, Pseudorandomness and Applications (Proceedings of Pseudorandomness and Finite Fields)

      Volume: 印刷中

    • DOI

      10.1515/9783110642094-009

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Further results on existentially closed graphs arising from block designs2019

    • Author(s)
      Lu Xiao-Nan
    • Journal Title

      Graphs and Combinatorics

      Volume: ―

    • DOI

      10.1007/s00373-019-02036-z

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-adaptive group testing on graphs with connectivity2019

    • Author(s)
      Luo Song、Matsuura Yuji、Miao Ying、Shigeno Maiko
    • Journal Title

      Journal of Combinatorial Optimization

      Volume: ―

    • DOI

      10.1007/s10878-019-00379-0

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Union-intersection-bounded families and their applications2019

    • Author(s)
      Gu Yujie、Miao Ying
    • Journal Title

      Discrete Applied Mathematics

      Volume: ―

    • DOI

      10.1016/j.dam.2018.12.002

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] K"ohler theory for countable quadraple systems2018

    • Author(s)
      H. Kikyo, M. Sawa
    • Journal Title

      Tsukuba Journal of Mathematics

      Volume: 41 Pages: 189-213

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A new approach to the excess problem of Hadamard matrices2018

    • Author(s)
      Hirasaka Mitsugu、Momihara Koji、Suda Sho
    • Journal Title

      Algebraic Combinatorics

      Volume: 1 Pages: 697-722

    • DOI

      10.5802/alco.33

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] ode-Seeking Clustering and Density Ridge Estimation via Direct Estimation of Density-Derivative-Ratios2018

    • Author(s)
      H. Sasaki, T. Kanamori, A. Hyvarinen, and Masashi Sugiyama
    • Journal Title

      Journal of Machine Learning Research

      Volume: 18 Pages: 1-47

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Construction of strongly regular Cayley graphs based on three-valued Gauss periods2018

    • Author(s)
      Momihara Koji
    • Journal Title

      uropean Journal of Combinatorics

      Volume: 70 Pages: 232-250

    • DOI

      10.1016/j.ejc.2018.01.007

    • NAID

      40021813640

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Strongly regular Cayley graphs from partitions of subdifference sets of the Singer difference sets2018

    • Author(s)
      Momihara Koji、Xiang Qing
    • Journal Title

      Finite Fields and Their Applications

      Volume: 50 Pages: 222-250

    • DOI

      10.1016/j.ffa.2017.11.010

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A new series of optimal tight conflict-avoiding codes of weight 32017

    • Author(s)
      Miwako Mishima, Koji Momihara
    • Journal Title

      Discrete Mathematics

      Volume: 340 Pages: 617-629

    • DOI

      10.1016/j.disc.2016.12.003

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Characterizing D-optimal Rotatable Designs with Finite Reflection Groups2017

    • Author(s)
      M. Sawa, M. Hirao
    • Journal Title

      Indian Journal of Statistics; Sankhya Series A

      Volume: 79 Pages: 101-132

    • DOI

      10.1007/s13171-016-0091-1

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Existence on Splitting-Balanced Block Designs with Resolvability2017

    • Author(s)
      Kazuki Matsubara, Masanori Sawa, Sanpei Kageyama
    • Journal Title

      Graphs and Combinatorics

      Volume: - Pages: 561-572

    • DOI

      10.1007/s00373-017-1777-4

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Incomplete split-block designs constructed by affine α-resolvable designs2017

    • Author(s)
      Ozawa Kazuhiro、Kuriki Shinji、Mejza Stanislaw
    • Journal Title

      Biometrical Letters

      Volume: 54 Pages: 123-135

    • DOI

      10.1515/bile-2017-0007

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A New Infinite Family of Hemisystems of the Hermitian Surface2017

    • Author(s)
      Bamberg John、Lee Melissa、Momihara Koji、Xiang Qing
    • Journal Title

      Combinatorica

      Volume: 38 Pages: 43-66

    • DOI

      10.1007/s00493-016-3525-4

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Graph-based composite local Bregman divergences on discrete sample spaces2017

    • Author(s)
      T. Kanamori, T. Takenouchi
    • Journal Title

      Neural Networks

      Volume: 95 Pages: 44-56

    • DOI

      10.1016/j.neunet.2017.06.005

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Parallel distributed block coordinate descent methods based on pairwise comparison oracle2017

    • Author(s)
      K. Matsui, W. Kumagai, T. Kanamori
    • Journal Title

      Journal of Global Optimization

      Volume: 69 Pages: 1-21

    • DOI

      10.1007/s10898-016-0465-x

    • NAID

      110009971451

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Affine-invariant strictly cyclic Steiner quadruple systems2017

    • Author(s)
      X.-N. Lu,M. Jimbo
    • Journal Title

      Designs, Codes and Cryptography

      Volume: 83 Pages: 33-69

    • DOI

      10.1007/s10623-016-0201-z

    • Related Report
      2016 Annual Research Report 2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Distance sets on circles2017

    • Author(s)
      Momihara, K. and Shinohara, M.
    • Journal Title

      American Mathematical Monthly

      Volume: 124 Pages: 241-254

    • DOI

      10.4169/amer.math.monthly.124.3.241

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Zero-difference balanced functions with new parameters and their applications2017

    • Author(s)
      H. Cai, Z. Zhou, X. Tang, Y. Miao
    • Journal Title

      IEEE Trans. on Information Theory

      Volume: 印刷中 Pages: 4376-4378

    • DOI

      10.1109/tit.2017.2675441

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Codes with the identifiable parent property for multimedia fingerprinting2017

    • Author(s)
      M. Cheng, H.-L. Fu, J. Jiang, Y.-H. Lo, Y. Miao
    • Journal Title

      Designs, Codes and Cryptography

      Volume: 83 Pages: 71-82

    • DOI

      10.1007/s10623-016-0203-x

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Two-factor experiments with split units constructed by cyclic designs and square lattice designs2017

    • Author(s)
      K. Ozawa, I. Mejza, S. Mejza, and S. Kuriki
    • Journal Title

      REVSTAT Statistical Journal

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Breakdown Point of Robust Support Vector Machine2017

    • Author(s)
      Kanamori, T., Fujiwara, S., Takeda, A.
    • Journal Title

      Entropy 2017

      Volume: 19 Pages: 83-83

    • DOI

      10.3390/e19020083

    • NAID

      110009971425

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A family of m-ovoids of parabolic quadrics2016

    • Author(s)
      T. Feng, K. Momihara, Q. Xiang
    • Journal Title

      Journal of Combinatorial Theory. Series A

      Volume: 140 Pages: 97-111

    • DOI

      10.1016/j.jcta.2016.01.002

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Three-valued Gauss periods, circulant weighing matrices and association schemes2016

    • Author(s)
      T. Feng, K. Momihara, Q. Xiang
    • Journal Title

      Journal of Algebraic Combinatorics

      Volume: 印刷中 Pages: 851-875

    • DOI

      10.1007/s10801-016-0664-z

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Some remarks on cubature formulas with linear operators2016

    • Author(s)
      Masatake Hirao, Takayuki Okuda, Masanori Sawa
    • Journal Title

      J. Math. Soc. Japan

      Volume: 68 Issue: 2 Pages: 711-735

    • DOI

      10.2969/jmsj/06820711

    • NAID

      130006887144

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Bounds and constructions for 3- separable codes of length 32016

    • Author(s)
      M. Cheng, J. Jiang, H. Li, Y. Miao and X. Tang
    • Journal Title

      Designs, Codes and Cryptography

      Volume: 81 Pages: 317-335

    • DOI

      10.1007/s10623-015-0160-9

    • Related Report
      2016 Annual Research Report 2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Strongly separable codes2016

    • Author(s)
      J. Jiang, M. Cheng and Y. Miao
    • Journal Title

      Designs, Codes and Cryptography

      Volume: 印刷中 Pages: 303-318

    • DOI

      10.1007/s10623-015-0050-1

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Use of α-resolvable designs in the construction of two-factor experiments of split-plot type2016

    • Author(s)
      K. Ozawa, S. Kuriki, and S. Mejza
    • Journal Title

      Biometrical Letters

      Volume: 53 Pages: 105-118

    • DOI

      10.1515/bile-2016-0008

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Efficiency Bound of Local Z-Estimators on Discrete Sample Spaces2016

    • Author(s)
      Kanamori, T.
    • Journal Title

      Entropy

      Volume: 18 Pages: 273-273

    • DOI

      10.3390/e18070273

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Decomposition of complete bipartite graphs into cycles of distinct lengths2016

    • Author(s)
      Y. Lin, M. Mishima, M. Jimbo
    • Journal Title

      Graphs and Combinatorics

      Volume: 78 Pages: 747-776

    • DOI

      10.1007/s00373-015-1664-9

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Cubature公式の理論2016

    • Author(s)
      澤 正憲
    • Journal Title

      数学

      Volume: 68 Pages: 24-53

    • NAID

      130006321021

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a symmetric representation of Hermitian matrices and its applications to graph theory2016

    • Author(s)
      澤 正憲
    • Journal Title

      Journal of Combinatorial Theory Series B

      Volume: 116 Pages: 484-503

    • NAID

      120005842540

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Some remarks on cubature formulas with linear operators2016

    • Author(s)
      平尾 将剛, 奥田 隆幸, 澤 正憲
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 印刷中

    • NAID

      130006887144

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Two-factor experiments with split units constructed by cyclic designs and square lattice designs2016

    • Author(s)
      K. Ozawa, I. Mejza, S. Mejza and S. Kuriki
    • Journal Title

      Biometrical Letters

      Volume: 印刷中

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Constructions of strongly regular Cayley graphs and skew Hadamard difference sets from cyclotomic classes2015

    • Author(s)
      T. Feng, K. Momihara, Q. Xiang
    • Journal Title

      Combinatorica

      Volume: 印刷中 Pages: 413-434

    • DOI

      10.1007/s00493-014-2895-8

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Cameron-Liebler line classes with parameter x =q^2-122015

    • Author(s)
      T. Feng, K. Momihara, Q. Xiang
    • Journal Title

      Journal of Combinatorial Theory, Series A

      Volume: 133 Pages: 307-338

    • DOI

      10.1016/j.jcta.2015.02.004

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] New strongly regular decompositions of the complete graphs with prime power vertices2015

    • Author(s)
      Momihara, K. and Okumura, K.
    • Journal Title

      Finite Fields and Their Applications

      Volume: 36 Pages: 63-80

    • DOI

      10.1016/j.ffa.2015.07.001

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] ガウス周期とそれに関連するデザインおよびアソシエーションスキーム2015

    • Author(s)
      籾原幸二
    • Journal Title

      数理解析研究所講究録

      Volume: 1965 Pages: 135-149

    • Related Report
      2015 Annual Research Report
  • [Presentation] 回転不変積分に対するcubature公式の研究の一動機付け2019

    • Author(s)
      澤 正憲
    • Organizer
      2019年度日本数学会年会 統計数学分科会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Adjacency properties of graphs analogous to the countable random graph, their links with combinatorial designs and arrays2018

    • Author(s)
      Xiao-Nan Lu and Masakazu Jimbo
    • Organizer
      Conference on Combinatorics and its Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 古典直交多項式に対するカーネル多項式の代数幾何的側面とその応用2018

    • Author(s)
      澤 正憲
    • Organizer
      第35回代数的組合せ論シンポジウム
    • Related Report
      2018 Annual Research Report
  • [Presentation] A graph-theoretic construction of Dihedral quadraple systems and its countable analogue2018

    • Author(s)
      M. Sawa
    • Organizer
      apanese Conference on Combinatorics and its Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 強さ3の巡回的準直交配列の構成法と機能的MRI実験への応用2018

    • Author(s)
      澤 正憲,吉田 和輝,佐竹 翔平
    • Organizer
      2018年度日本数学会秋季総合分科会 統計数学分科会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Transformation of Hadamard matrices into regular or almost regular Hadamard matrices2018

    • Author(s)
      K. Momihara
    • Organizer
      Workshop on difference sets at Zhejiang University
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Skew Hadamard 行列の存在性に関するG. Szekeres の主張の修正について2018

    • Author(s)
      籾原幸二
    • Organizer
      研究集会「実験計画法ならびに情報数理と関連する組合せ構造2018」
    • Related Report
      2018 Annual Research Report
  • [Presentation] Statistical inference with unnormalized models2018

    • Author(s)
      Takafumi Kanamori
    • Organizer
      International Symposium on Statistical Theory and Methodology for Large Complex Data
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Variable Selection Consistency in Kernel Methods using shrinkage parameters2018

    • Author(s)
      Takafumi Kanamori, Kota Matsui, Wataru Kumagai, Kenta Kanamori
    • Organizer
      統計関連学会連合学会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Strongly separable matrices2018

    • Author(s)
      Y. Miao
    • Organizer
      Conference on Combinatorics and its Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Locating arrays with error correcting ability2018

    • Author(s)
      X.-N. Lu, M. Jimbo
    • Organizer
      5th Taiwan-Japan Conference on Combinatorics and its Applications (5th TJCCA)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Multifold factorizations of cyclic groups into subsets2018

    • Author(s)
      Kohei Yamada, Miwako Mishima, Junya Satoh, Masakazu Jimbo
    • Organizer
      5th Taiwan-Japan Conference on Combinatorics and its Applications (5th TJCCA)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A list of A-efficient treatment-control designs2018

    • Author(s)
      K. Ozawa, and S. Kuriki
    • Organizer
      64th Biometrisches Kolloquium
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Combinatorics of Digital Fingerprinting2017

    • Author(s)
      Y. Miao
    • Organizer
      日本数学会2017年度年会 応用数学分科会
    • Place of Presentation
      首都大学東京(東京都,八王子市)
    • Year and Date
      2017-03-24
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Locating arrays with error correcting ability2017

    • Author(s)
      X.-N. Lu, M. Jimbo
    • Organizer
      Mathematical Methods for Cryptography (MMC) Workshop
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Locating arrays with error correcting ability2017

    • Author(s)
      X.-N. Lu, M. Jimbo
    • Organizer
      5th International Combinatorics Conference (5ICC)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Locating arrays with error correcting ability2017

    • Author(s)
      盧 暁南, 神保 雅一
    • Organizer
      日本数学会2017年度秋季総合分科会(統計数学分科会)
    • Related Report
      2017 Annual Research Report
  • [Presentation] Multifold factorizations of cyclic groups into subsets2017

    • Author(s)
      Kohei Yamada, Miwako Mishima, Junya Satoh, Masakazu Jimbo
    • Organizer
      Japanese Conference on Combinatorics and its Applications(JCCA-2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Parallel Distributed Block Coordinate Descent Methods Based on Pairwise Comparison Oracle2017

    • Author(s)
      K. Matsui, W. Kumagai, T. Kanamori
    • Organizer
      the 2017 INFORMS ANNUAL MEETING
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Estimating Density Ridges by Direct Estimation of Density-Derivative-Ratios2017

    • Author(s)
      Hiroaki Sasaki, Takafumi Kanamori and Masashi Sugiyama
    • Organizer
      the 20th International Conference on Artificial Intelligence and Statistics (AISTATS)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Compact formulas for discriminants of classical quasi-orthogonal polynomials with applications to design theory2017

    • Author(s)
      澤 正憲
    • Organizer
      第34回代数的組合せ論シンポジウム
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] エルミート行列の対称性と慣性指数の非対称性2017

    • Author(s)
      澤 正憲
    • Organizer
      日本応用数理学会2017年度年会 離散システム研究部会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Quasi-Hermite polynomials, quadrature formulas, Hausdorff-type Diophantine equations2017

    • Author(s)
      澤 正憲
    • Organizer
      H29年度応用力学研究所共同利用「非線形波動研究の新潮流-理論とその応用」
    • Related Report
      2017 Annual Research Report
  • [Presentation] Gaussian designs,quasi-Hermite polynomials, Hausdorff-type Diophantine equations2017

    • Author(s)
      Masanori Sawa
    • Organizer
      5th International Combinatorial Conference (5ICCC)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] n A-efficient treatment-control designs constructed by generalized cyclic designs2017

    • Author(s)
      K. Ozawa, and S. Kuriki
    • Organizer
      The Design and Analysis of Experiments (DAE 2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On A-efficient Treatment-control Designs2017

    • Author(s)
      K. Ozawa, and S. Kuriki
    • Organizer
      International MultiConference of Engineers and Computer Scientists (IMECS 2017)
    • Place of Presentation
      Hong Kong, China
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Factorization of cyclic groups and spread decomposition of cyclic orbits of projective lines2016

    • Author(s)
      M. Jimbo
    • Organizer
      The Sixth National Conference on Combinatorial Designs
    • Place of Presentation
      Zhejiang University, Hanzhou, China
    • Year and Date
      2016-07-08
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] IPP codes for multimedia fingerprinting2016

    • Author(s)
      Y. Miao
    • Organizer
      National Conference on Combinatorial Designs
    • Place of Presentation
      Zhejiang University, China
    • Year and Date
      2016-07-08
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Identification of non-zero coordinates in a sparse vector2016

    • Author(s)
      Y. Miao
    • Organizer
      Workshop on Coding Theory and Cryptography
    • Place of Presentation
      Xiangshan Business Hotel, Beijing, China
    • Year and Date
      2016-07-02
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Anti-collusion codes and tracing algorithms for multimedia fingerprinting2016

    • Author(s)
      Y. Miao
    • Organizer
      Workshop on Coding Theory and Cryptography
    • Place of Presentation
      Xiangshan Business Hotel, Beijing, China
    • Year and Date
      2016-07-02
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On cyclic grid-block designs2016

    • Author(s)
      X.-N. Lu,J. Satoh,M. Jimbo
    • Organizer
      The Japanese Conference on Combinatorics and its Applications (JCCA 2016)
    • Place of Presentation
      京都大学(京都府,京都市)
    • Year and Date
      2016-05-21
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Factorizations of cyclic groups and decompositions of a Singer orbit of a projective line2016

    • Author(s)
      Kohei Yamada, Miwako Mishima, Junya Satoh, Masakazu Jimbo
    • Organizer
      The Japanese Conference on Combinatorics and its Applications (JCCA 2016)
    • Place of Presentation
      京都大学(京都府,京都市)
    • Year and Date
      2016-05-21
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Fingerprinting codes and bipartite graphs with large girths2016

    • Author(s)
      Y. Miao
    • Organizer
      GTC 2016 -- Workshop on Graph Theory and Combinatorics of Yangtze Delta
    • Place of Presentation
      Nanjing Normal University, China
    • Year and Date
      2016-04-15
    • Related Report
      2016 Annual Research Report
  • [Presentation] A construction of cyclic 3 × 3 grid-block designs and its application2016

    • Author(s)
      盧 暁南,神保 雅一
    • Organizer
      日本数学会2016年度年会
    • Place of Presentation
      筑波大学,茨城県つくば
    • Year and Date
      2016-03-18
    • Related Report
      2015 Annual Research Report
  • [Presentation] Asymmetry of oriented graphs and some related results2016

    • Author(s)
      佐竹翔平,澤正憲,神保雅一
    • Organizer
      日本数学会 2016年度年会 応用数学分科会
    • Place of Presentation
      筑波大学,茨城県つくば
    • Year and Date
      2016-03-16
    • Related Report
      2015 Annual Research Report
  • [Presentation] Asymmetry of oriented graphs2016

    • Author(s)
      佐竹翔平,澤正憲,神保雅一
    • Organizer
      The 4th Japan-Taiwan Conference on Combinatorics and its Applications (4th JTCCA)
    • Place of Presentation
      北九州国際会議場, 福岡県北九州
    • Year and Date
      2016-03-05
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] New hemisystems of the Hermitian surface and related association schemes2016

    • Author(s)
      Momihara, K.
    • Organizer
      The 4th Japan-Taiwan Conference on Combinatorics and its Applications
    • Place of Presentation
      北九州国際会議場,福岡県北九州
    • Year and Date
      2016-03-05
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] New hemisystems and related 4-class association schemes2016

    • Author(s)
      Momihara, K.
    • Organizer
      Korea-Japan Workshop on Algebra and Combinatorics
    • Place of Presentation
      Pusan National University, Pusan, Korea
    • Year and Date
      2016-01-10
    • Related Report
      2015 Annual Research Report
  • [Presentation] Locating arrays, disjoint spread systems, and error correction2016

    • Author(s)
      X.-N. Lu,M. Jimbo
    • Organizer
      東北大学組合せ論セミナー,東北大学情報科学研究科
    • Place of Presentation
      東北大学(宮城県,仙台市)
    • Related Report
      2016 Annual Research Report
  • [Presentation] 巡回群の多重直和分解2016

    • Author(s)
      山田 紘頌, 三嶋美和子, 佐藤潤也, 神保雅一
    • Organizer
      日本数学会 2016 年度秋季総合分科会 応用数学分科会
    • Place of Presentation
      関西大学(大阪府,吹田市)
    • Related Report
      2016 Annual Research Report
  • [Presentation] 有限巡回群の多重分解2016

    • Author(s)
      山田 紘頌, 三嶋美和子, 佐藤潤也, 神保雅一
    • Organizer
      研究集会「実験計画法と符号および関連する組合せ構造」
    • Place of Presentation
      秋保リゾートホテルクレッセント(宮城県,仙台市)
    • Related Report
      2016 Annual Research Report
  • [Presentation] Distance sets on circles and Kneser's theorem2016

    • Author(s)
      Momihara, K.
    • Organizer
      New Directions in Combinatorics
    • Place of Presentation
      National University of Singapore, Singapore
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] New m-ovoids of finite polar spaces2016

    • Author(s)
      籾原幸二
    • Organizer
      第 33 回代数的組合せ論シンポジウム
    • Place of Presentation
      滋賀大学(滋賀県,大津市)
    • Related Report
      2016 Annual Research Report
  • [Presentation] Conference matrices with maximum excess and two-intersection sets2016

    • Author(s)
      籾原幸二, 須田庄
    • Organizer
      2016 年度応用数学合同研究集会
    • Place of Presentation
      滋賀大学(滋賀県,大津市)
    • Related Report
      2016 Annual Research Report
  • [Presentation] Cyclic grid-block designs2015

    • Author(s)
      盧 暁南,佐藤 潤也,神保 雅一
    • Organizer
      2015年度応用数学合同研究集会
    • Place of Presentation
      龍谷大学,京都府大津
    • Year and Date
      2015-12-18
    • Related Report
      2015 Annual Research Report
  • [Presentation] Existence and constructions of cyclic grid-block designs2015

    • Author(s)
      X.-N. Lu,J. Satoh,M. Jimbo
    • Organizer
      The 39th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing (39ACCMCC)
    • Place of Presentation
      University of Queensland, St. Lucia, Australia
    • Year and Date
      2015-12-10
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Erd"os-R'enyi Theory for Asymmetric Digraphs2015

    • Author(s)
      佐竹翔平,澤正憲,神保雅一
    • Organizer
      39th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing
    • Place of Presentation
      The University of Queensland, St. Lucia, Ausatralia
    • Year and Date
      2015-12-08
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Incomplete split-block designs constructed by affine alpha-resolvable designs2015

    • Author(s)
      K. Ozawa, and S. Kuriki
    • Organizer
      Designed Experiments: Recent Advances in Methods and Applications (DEMA2015)
    • Place of Presentation
      Sydney, Australia
    • Year and Date
      2015-12-07
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Cyclic grid-block designs2015

    • Author(s)
      盧 暁南,佐藤 潤也,神保 雅一
    • Organizer
      実験計画法と符号および関連する組合せ構造2015
    • Place of Presentation
      箱根水明荘,神奈川県箱根湯本
    • Year and Date
      2015-12-03
    • Related Report
      2015 Annual Research Report
  • [Presentation] New hemisystems of the Hermitian surface2015

    • Author(s)
      籾原幸二
    • Organizer
      研究集会「実験計画法と符号および関 連する組合せ構造 2015」
    • Place of Presentation
      箱根水明荘,神奈川県箱根湯本
    • Year and Date
      2015-12-01
    • Related Report
      2015 Annual Research Report
  • [Presentation] Applications of difference families to graceful labeling of digraphs2015

    • Author(s)
      盧 暁南,神保 雅一
    • Organizer
      日本数学会2015年度秋季総合分科会
    • Place of Presentation
      京都産業大学, 京都
    • Year and Date
      2015-09-16
    • Related Report
      2015 Annual Research Report
  • [Presentation] Erd"os-R'enyi Theory for Asymmetric Digraphs2015

    • Author(s)
      佐竹翔平,澤正憲,神保雅一
    • Organizer
      2015年度 日本数学会 秋季総合分科会 統計分科会
    • Place of Presentation
      京都産業大学,京都
    • Year and Date
      2015-09-16
    • Related Report
      2015 Annual Research Report
  • [Presentation] Skew Hadamard difference sets: Constructions and Inequivalence2015

    • Author(s)
      Momihara, K.
    • Organizer
      International Workshop on Algebraic Combinatorics at Zhejiang University
    • Place of Presentation
      Zhejiang University, Hanzhu, China
    • Year and Date
      2015-09-01
    • Related Report
      2015 Annual Research Report
  • [Presentation] Resolvability of a cyclic orbit of a subset of Zv and a spread decomposition of a Singer cycle of projective lines2015

    • Author(s)
      Masakazu Jimbo*, Miwako Mishima, Koji Momihara
    • Organizer
      The 18th Confernce on Algebraic Combinatorics and Applications
    • Place of Presentation
      Michigan Technological University, Houghton, USA
    • Year and Date
      2015-08-26
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Erd"os-R'enyi Theory for Asymmetric Digraphs2015

    • Author(s)
      佐竹翔平,澤正憲,神保雅一
    • Organizer
      The 18th Japan Conference on Discrete and Computational Geometry and Graphs (JCDCG^2 2015)
    • Place of Presentation
      京都大学,京都
    • Year and Date
      2015-08-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Distance sets on circles. Systems of Lines2015

    • Author(s)
      Momihara, K.
    • Organizer
      Applications of Algebraic Combinatorics
    • Place of Presentation
      Worcester Polytechnic Institute, Worcester, USA
    • Year and Date
      2015-08-01
    • Related Report
      2015 Annual Research Report
  • [Book] ヴァン・リント&ウィルソン 組合せ論 上2018

    • Author(s)
      神保 雅一、萩田 真理子、澤 正憲 訳、Lint, Jacobus Hendricus van、Wilson Richard M.
    • Total Pages
      324
    • Publisher
      丸善出版
    • ISBN
      9784621302453
    • Related Report
      2018 Annual Research Report 2017 Annual Research Report
  • [Book] Pythonで学ぶ統計的機械学習2018

    • Author(s)
      金森敬文
    • Total Pages
      264
    • Publisher
      オーム社
    • ISBN
      9784274223051
    • Related Report
      2018 Annual Research Report

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Published: 2015-04-16   Modified: 2019-12-27  

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