Mathematical Engineering Technical Reports

METR 2011-01	Kento EMOTO, An Algebraic Approach to Efficient Parallel Algorithms for Nested Reductions, 31pp., January 2011.
METR 2011-02	Yuto MIYATAKE, Takayasu MATSUO and Daisuke FURIHATA, Invariants-Preserving Integration of the Modified Camassa–Holm Equation, 26pp., February 2011.
METR 2011-03	Syuhei OSAWA, Yutaka HORI and Shinji HARA, Robust Stability Analysis for Cyclic Gene Regulatory Networks with Uncertainty, 18pp., February 2011.
METR 2011-04	Suguru YAMANAKA, Masaaki SUGIHARA and Hidetoshi NAKAGAWA, Modeling of Contagious Credit Events and Risk Analysis of Credit Portfolios, 19pp., February 2011.
METR 2011-05	Mitsunori OGAWA, Hisayuki HARA and Akimichi TAKEMURA, Graver Basis for an Undirected Graph and Its Application to Testing the Beta Model of Random Graphs, 21pp., February 2011.
METR 2011-06	Takuya KASHIMURA and Akimichi TAKEMURA, Standard Imsets for Undirected and Chain Graphical Models, 29pp., February 2011.
METR 2011-07	Masayuki KUMON, Akimichi TAKEMURA and Kei TAKEUCHI, Conformal Geometry of Statistical Manifold with Application to Sequential Estimation, 28pp., February 2011.
METR 2011-08	Taisei KUDO and Akimichi TAKEMURA, A Lower Bound for the Graver Complexity of the Incidence Matrix of a Complete Bipartite Graph, 12pp., February 2011.
METR 2011-09	Kenshi MIYABE and Akimichi TAKEMURA, Convergence of Random Series and the Rate of Convergence of Strong Law of Large Numbers in Game-Theoretic Probability, 31pp., March 2011.
METR 2011-10	Hidehiko KAMIYA, Akimichi TAKEMURA and Hiroaki TERAO, Arrangements Stable under the Coxeter Groups, 19pp., March 2011.
METR 2011-11	Yuto MIYATAKE, Takaharu YAGUCHI and Takayasu MATSUO, Numerical Integration of the Ostrovsky Equation Based on Its Geometric Structures, 26pp., April 2011.
METR 2011-12	Yusuke KOBAYASHI and Xin YIN, An Algorithm for Finding a Maximum t-Matching Excluding Complete Partite Subgraphs, 16pp., April 2011.
METR 2011-13	Yoshihiro KANNO, Topology Optimization of Tensegrity Structures under Compliance Constraint: A Mixed Integer Linear Programming Approach, 35pp., April 2011.
METR 2011-14	Naonori KAKIMURA and Kazuhisa MAKINO, Robust Independence Systems, 19pp., April 2011.
METR 2011-15	Kiyohiro IKEDA, Kazuo MUROTA and Takashi AKAMATSU, Self-Organization of Losch’s Hexagons in Economic Agglomeration for Core-Periphery Models, 50pp., May 2011.
METR 2011-16	Junya HONDA and Akimichi TAKEMURA, Stochastic Bandit Based on Empirical Moments, 15pp., May 2011.
METR 2011-17	Takuya KASHIMURA, Tomonari SEI, Akimichi TAKEMURA and Kentaro TANAKA, Properties of Semi-elementary Imsets as Sums of Elementary Imsets, 21pp., June 2011.
METR 2011-18	Yoshihiro KANNO, Worst Scenario Detection in Limit Analysis of Trusses against Defficiency of Structural Components, 20pp., June 2011.
METR 2011-19	Masaki TAKADA, Yutaka HORI and Shinji HARA, Oscillations in Cyclic Gene Regulatory Networks with Time Delay: Analytic Existence Conditions with Biological Insight, 30pp., June 2011.
METR 2011-20	Taro TAKAGUCHI and Naoki MASUDA, Voter Model with Non-Poissonian Inter-event Intervals, 14pp., July 2011.
METR 2011-21	Shoma TANABE and Naoki MASUDA, Evolution of Cooperation Facilitated by Reinforcement Learning with Adaptive Aspiration Levels, 31pp., July 2011.
METR 2011-22	Taro TAKAGUCHI, Mitsuhiro NAKAMURA, Nobuo SATO, Kazuo YANO and Naoki MASUDA, Predictability of Conversation Partners, 33pp., July 2011.
METR 2011-23	Yusuke KOBAYASHI and Yuichi YOSHIDA, Algorithms for Finding a Maximum Non-k-Linked Graph, 15pp., July 2011.
METR 2011-24	Kiyohiro IKEDA, Kazuo MUROTA, Takashi AKAMATSU, Tatsuhito KONO and Yuki TAKAYAMA, Self-Organizing Hexagons for Core-Periphery Models: Central Place Theory and Group Theory, 34pp., July 2011.
METR 2011-25	Kazuo MUROTA, Legendre Duality in Combinatorial Study of Matrix Pencils, 33pp., July 2011.
METR 2011-26	Toshiaki MAENO and Yasuhide NUMATA, Sperner Property and Finite-dimensional Gorenstein Algebras Associated to Matroids, 12pp., July 2011.
METR 2011-27	Satoko MORIGUCHI and Kazuo MUROTA, Note on Discrete Hessian Matrix and Convex Extensibility, 12pp., August 2011.
METR 2011-28	Hisayuki HARA, Satoshi AOKI and Akimichi TAKEMURA, Running Markov Chain without Markov Basis, 18pp., September 2011.
METR 2011-29	Naotsuna FUJIMORI, Lu LIU, Shinji HARA and Daisuke TSUBAKINO, Hierarchical Network Synthesis for Output Consensus by Eigenvector-based Interlayer Connections, 20pp., September 2011.
METR 2011-30	Takuya KASHIMURA, Tomonari SEI, Akimichi TAKEMURA and Kentaro TANAKA, Cones of Elementary Imsets and Supermodular Functions: a Review and Some New Results, 36pp., September 2011.
METR 2011-31	Naonori KAKIMURA, Kazuhisa MAKINO and Kento SEIMI, Computing Knapsack Solutions with Cardinality Robustness, 12pp., September 2011.
METR 2011-32	Tomonari SEI, Hiroki SHIBATA, Akimichi TAKEMURA, Katsuyoshi OHARA and Nobuki TAKAYAMA, Properties and Applications of Fisher Distribution on the Rotation Group, 22pp., October 2011.
METR 2011-33	Yasuhide NUMATA and Akimichi TAKEMURA, On Computation of the Characteristic Polynomials of the Discriminantal Arrangements and the Arrangements Generated by Generic Points, 25pp., October 2011.
METR 2011-34	Kento EMOTO, Sebastian FISCHER and Zhenjiang HU, Generate, Test, and Aggregate—A Calculation-based Framework for Systematic Parallel Programming with MapReduce—, 28pp., October 2011.
METR 2011-35	Yoshihiro HIROSE and Fumiyasu KOMAKI, Edge Selection Based on the Geometry of Dually Flat Spaces for Gaussian Graphical Models, 14pp., October 2011.
METR 2011-36	Satoko MORIGUCHI and Kazuo MUROTA, Constructing a Nonconvex Discrete Function with Positive Semidefinite Discrete Hessian Matrix, 14pp., October 2011.
METR 2011-37	Naoki MASUDA, Tetsuya FUJIE and Kazuo MUROTA, Application of Semidenite Programming to Maximize the Spectral Gap Produced by Node Removal, 9pp., October 2011.
METR 2011-38	Yasushi KAWASE and Kazuhisa MAKINO, Nash Equilibria with Minimum Potential in Undirected Broadcast Games, 26pp., November 2011.
METR 2011-39	Yoshihiro KANNO, Topology Optimization of Tensegrity Structures under Self-Weight Loads, 22pp., November 2011.
METR 2011-40	Mitsunori OGAWA and Akimichi TAKEMURA, Markov Bases for Typical Block Effect Models of Two-way Contingency Tables, 16pp., December 2011.
METR 2011-41	Naonori KAKIMURA and Mizuyo TAKAMATSU, Matching Problems with Delta-Matroid Constraints, 21pp., December 2011.
METR 2011-42	Tomoaki OKAYAMA, Takayasu MATSUO and Masaaki SUGIHARA, Theoretical Analysis of Sinc-Nyström Methods for Volterra Integral Equations, 26pp., December 2011.

METR 2011-01

Kento EMOTO, An Algebraic Approach to Efficient Parallel Algorithms for Nested Reductions, 31pp., January 2011.

METR 2011-02

Yuto MIYATAKE, Takayasu MATSUO and Daisuke FURIHATA, Invariants-Preserving Integration of the Modified Camassa–Holm Equation, 26pp., February 2011.

METR 2011-03

Syuhei OSAWA, Yutaka HORI and Shinji HARA, Robust Stability Analysis for Cyclic Gene Regulatory Networks with Uncertainty, 18pp., February 2011.

METR 2011-04

Suguru YAMANAKA, Masaaki SUGIHARA and Hidetoshi NAKAGAWA, Modeling of Contagious Credit Events and Risk Analysis of Credit Portfolios, 19pp., February 2011.

METR 2011-05

Mitsunori OGAWA, Hisayuki HARA and Akimichi TAKEMURA, Graver Basis for an Undirected Graph and Its Application to Testing the Beta Model of Random Graphs, 21pp., February 2011.

METR 2011-06

Takuya KASHIMURA and Akimichi TAKEMURA, Standard Imsets for Undirected and Chain Graphical Models, 29pp., February 2011.

METR 2011-07

Masayuki KUMON, Akimichi TAKEMURA and Kei TAKEUCHI, Conformal Geometry of Statistical Manifold with Application to Sequential Estimation, 28pp., February 2011.

METR 2011-08

Taisei KUDO and Akimichi TAKEMURA, A Lower Bound for the Graver Complexity of the Incidence Matrix of a Complete Bipartite Graph, 12pp., February 2011.

METR 2011-09

Kenshi MIYABE and Akimichi TAKEMURA, Convergence of Random Series and the Rate of Convergence of Strong Law of Large Numbers in Game-Theoretic Probability, 31pp., March 2011.

METR 2011-10

Hidehiko KAMIYA, Akimichi TAKEMURA and Hiroaki TERAO, Arrangements Stable under the Coxeter Groups, 19pp., March 2011.

METR 2011-11

Yuto MIYATAKE, Takaharu YAGUCHI and Takayasu MATSUO, Numerical Integration of the Ostrovsky Equation Based on Its Geometric Structures, 26pp., April 2011.

METR 2011-12

Yusuke KOBAYASHI and Xin YIN, An Algorithm for Finding a Maximum t-Matching Excluding Complete Partite Subgraphs, 16pp., April 2011.

METR 2011-13

Yoshihiro KANNO, Topology Optimization of Tensegrity Structures under Compliance Constraint: A Mixed Integer Linear Programming Approach, 35pp., April 2011.

METR 2011-14

Naonori KAKIMURA and Kazuhisa MAKINO, Robust Independence Systems, 19pp., April 2011.

METR 2011-15

Kiyohiro IKEDA, Kazuo MUROTA and Takashi AKAMATSU, Self-Organization of Losch’s Hexagons in Economic Agglomeration for Core-Periphery Models, 50pp., May 2011.

METR 2011-16

Junya HONDA and Akimichi TAKEMURA, Stochastic Bandit Based on Empirical Moments, 15pp., May 2011.

METR 2011-17

Takuya KASHIMURA, Tomonari SEI, Akimichi TAKEMURA and Kentaro TANAKA, Properties of Semi-elementary Imsets as Sums of Elementary Imsets, 21pp., June 2011.

METR 2011-18

Yoshihiro KANNO, Worst Scenario Detection in Limit Analysis of Trusses against Defficiency of Structural Components, 20pp., June 2011.

METR 2011-19

Masaki TAKADA, Yutaka HORI and Shinji HARA, Oscillations in Cyclic Gene Regulatory Networks with Time Delay: Analytic Existence Conditions with Biological Insight, 30pp., June 2011.

METR 2011-20

Taro TAKAGUCHI and Naoki MASUDA, Voter Model with Non-Poissonian Inter-event Intervals, 14pp., July 2011.

METR 2011-21

Shoma TANABE and Naoki MASUDA, Evolution of Cooperation Facilitated by Reinforcement Learning with Adaptive Aspiration Levels, 31pp., July 2011.

METR 2011-22

Taro TAKAGUCHI, Mitsuhiro NAKAMURA, Nobuo SATO, Kazuo YANO and Naoki MASUDA, Predictability of Conversation Partners, 33pp., July 2011.

METR 2011-23

Yusuke KOBAYASHI and Yuichi YOSHIDA, Algorithms for Finding a Maximum Non-k-Linked Graph, 15pp., July 2011.

METR 2011-24

Kiyohiro IKEDA, Kazuo MUROTA, Takashi AKAMATSU, Tatsuhito KONO and Yuki TAKAYAMA, Self-Organizing Hexagons for Core-Periphery Models: Central Place Theory and Group Theory, 34pp., July 2011.

METR 2011-25

Kazuo MUROTA, Legendre Duality in Combinatorial Study of Matrix Pencils, 33pp., July 2011.

METR 2011-26

Toshiaki MAENO and Yasuhide NUMATA, Sperner Property and Finite-dimensional Gorenstein Algebras Associated to Matroids, 12pp., July 2011.

METR 2011-27

Satoko MORIGUCHI and Kazuo MUROTA, Note on Discrete Hessian Matrix and Convex Extensibility, 12pp., August 2011.

METR 2011-28

Hisayuki HARA, Satoshi AOKI and Akimichi TAKEMURA, Running Markov Chain without Markov Basis, 18pp., September 2011.

METR 2011-29

Naotsuna FUJIMORI, Lu LIU, Shinji HARA and Daisuke TSUBAKINO, Hierarchical Network Synthesis for Output Consensus by Eigenvector-based Interlayer Connections, 20pp., September 2011.

METR 2011-30

Takuya KASHIMURA, Tomonari SEI, Akimichi TAKEMURA and Kentaro TANAKA, Cones of Elementary Imsets and Supermodular Functions: a Review and Some New Results, 36pp., September 2011.

METR 2011-31

Naonori KAKIMURA, Kazuhisa MAKINO and Kento SEIMI, Computing Knapsack Solutions with Cardinality Robustness, 12pp., September 2011.

METR 2011-32

Tomonari SEI, Hiroki SHIBATA, Akimichi TAKEMURA, Katsuyoshi OHARA and Nobuki TAKAYAMA, Properties and Applications of Fisher Distribution on the Rotation Group, 22pp., October 2011.

METR 2011-33

Yasuhide NUMATA and Akimichi TAKEMURA, On Computation of the Characteristic Polynomials of the Discriminantal Arrangements and the Arrangements Generated by Generic Points, 25pp., October 2011.

METR 2011-34

Kento EMOTO, Sebastian FISCHER and Zhenjiang HU, Generate, Test, and Aggregate—A Calculation-based Framework for Systematic Parallel Programming with MapReduce—, 28pp., October 2011.

METR 2011-35

Yoshihiro HIROSE and Fumiyasu KOMAKI, Edge Selection Based on the Geometry of Dually Flat Spaces for Gaussian Graphical Models, 14pp., October 2011.

METR 2011-36

Satoko MORIGUCHI and Kazuo MUROTA, Constructing a Nonconvex Discrete Function with Positive Semidefinite Discrete Hessian Matrix, 14pp., October 2011.

METR 2011-37

Naoki MASUDA, Tetsuya FUJIE and Kazuo MUROTA, Application of Semidenite Programming to Maximize the Spectral Gap Produced by Node Removal, 9pp., October 2011.

METR 2011-38

Yasushi KAWASE and Kazuhisa MAKINO, Nash Equilibria with Minimum Potential in Undirected Broadcast Games, 26pp., November 2011.

METR 2011-39

Yoshihiro KANNO, Topology Optimization of Tensegrity Structures under Self-Weight Loads, 22pp., November 2011.

METR 2011-40

Mitsunori OGAWA and Akimichi TAKEMURA, Markov Bases for Typical Block Effect Models of Two-way Contingency Tables, 16pp., December 2011.

METR 2011-41

Naonori KAKIMURA and Mizuyo TAKAMATSU, Matching Problems with Delta-Matroid Constraints, 21pp., December 2011.

METR 2011-42

Tomoaki OKAYAMA, Takayasu MATSUO and Masaaki SUGIHARA, Theoretical Analysis of Sinc-Nyström Methods for Volterra Integral Equations, 26pp., December 2011.

Mathematical Engineering Technical Reports

LIST 2011