Research Output per year

## Research Output

## Band-restricted diagonally dominant matrices: Computational complexity and application

Takahashi, N., Hirata, D., Jinbo, S. & Yamamoto, H., May 2019, In : Journal of Computer and System Sciences. 101, p. 100-111 12 p.Research output: Contribution to journal › Article

## Reconstruction of CT images using iterative least-squares methods with nonnegative constraint

Kohno, H., Tanji, Y., Fujimoto, K., Kitajima, H., Horikawa, Y. & Takahashi, N., Mar 2019, In : Journal of Signal Processing. 23, 2, p. 41-18 8 p.Research output: Contribution to journal › Article

## A simple sufficient condition for convergence of projected consensus algorithm

Takahashi, N. & Kawashima, K., Jul 2018, In : IEEE Control Systems Letters. 2, 3, p. 537-542 6 p.Research output: Contribution to journal › Article

## A unified global convergence analysis of multiplicative update rules for nonnegative matrix factorization

Takahashi, N., Katayama, J., Seki, M. & Takeuchi, J., Sep 1 2018, In : Computational Optimization and Applications. 71, 1, p. 221-250 30 p.Research output: Contribution to journal › Article

## Gauss-Seidel HALS algorithm for nonnegative matrix factorization with sparseness and smoothness constraints

Kimura, T. & Takahashi, N., Dec 1 2017, In : IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E100A, 12, p. 2925-2935 11 p.Research output: Contribution to journal › Article

## Graphs that locally maximize clustering coefficient in the space of graphs with a fixed degree sequence

Fukami, T. & Takahashi, N., Jan 30 2017, In : Discrete Applied Mathematics. 217, p. 525-535 11 p.Research output: Contribution to journal › Article

## Maximizing algebraic connectivity in the space of graphs with fixed number of vertices and edges

Ogiwara, K., Fukami, T. & Takahashi, N., 2015, In : IEEE Transactions on Control of Network Systems. PP, 99, 7336529.Research output: Contribution to journal › Article

## A generalized sufficient condition for global convergence of modified multiplicative updates for NMF

Takahashi, N., Katayama, J. & Takeuchi, J., 2014, In : Proceedings of 2014 International Symposium on Nonlinear Theory and its Applications. p. 44-47 4 p.Research output: Contribution to journal › Article

## Global convergence of modified multiplicative updates for nonnegative matrix factorization

Takahashi, N. & Hibi, R., Mar 1 2014, In : Computational Optimization and Applications. 57, 2, p. 417-440 24 p.Research output: Contribution to journal › Article

## New classes of clustering coefficient locally maximizing graphs

Fukami, T. & Takahashi, N., Jan 10 2014, In : Discrete Applied Mathematics. 162, p. 202-213 12 p.Research output: Contribution to journal › Article

## New update rules based on Kullback-Leibler, gamma, and Renyi divergences for nonnegative matrix factorization

Seki, M. & Takahashi, N., 2014, In : Proceedings of 2014 International Symposium on Nonlinear Theory and its Applications. p. 48-51 4 p.Research output: Contribution to journal › Article

## On graphs that locally maximize algebraic connectivity in the space of graphs with the fixed degree sequence

Fujihara, T. & Takahashi, N., 2014, In : Proceedings of 2014 International Symposium on Nonlinear Theory and its Applications. p. 353-356 4 p.Research output: Contribution to journal › Article

## Explicit proof of an inequality related to the Omega-matrix

Takahashi, N., 2013, In : Nonlinear Theory and Its Applications, IEICE. 4, 4, p. 430-450 21 p.Research output: Contribution to journal › Article

## Finding Items Associated with Varied Members in A Pairwise Data Stream

Takahashi, N., 2013, In : Proceedings of the 16th Korea-Japan Joint Workshop on Algorithms and Computation. p. 52-58 7 p.Research output: Contribution to journal › Article

## On Graphs that Locally Maximize Global Clustering Coefficient

Teraji, T. & Takahashi, N., 2013, In : Proceedings of 2013 International Symposium on Nonlinear Theory and its Applications. p. 130-133 4 p.Research output: Contribution to journal › Article

## A Modified Multiplicative Update Algorithm for Convex Quadratic Programming Problems with Nonnegativity Constraints

Takahashi, N., 2012, In : Proceedings of 2012 International Symposium on Nonlinear Theory and its Applications. p. 431-434 4 p.Research output: Contribution to journal › Article

## A New Continuous-Time Algorithm for Calculating Algebraic Connectivity of Multi-Agent Networks

Takahashi, N., 2012, In : Proceedings of 2012 International Symposium on Nonlinear Theory and its Applications. p. 45-48 4 p.Research output: Contribution to journal › Article

## A Theorem on a Solution Curve of a Class of Nonlinear Equations

Takahashi, N., 2012, In : Proceedings of 2012 International Symposium on Nonlinear Theory and its Applications. p. 288-291 4 p.Research output: Contribution to journal › Article

## Some Properties of Solution Curves of a Class of Nonlinear Equations and the Number of Solutions

Takahashi, N., 2012, In : Nonlinear Theory and Its Applications, IEICE. 3, 3, p. 301-335 35 p.Research output: Contribution to journal › Article

## Controlling Clustering Coefficient of Graphs by Means of 2-Switch Method

Takahashi, N., 2011, In : Proceedings of 2011 International Symposium on Nonlinear Theory and its Applications. p. 64-67 4 p.Research output: Contribution to journal › Article

## Global Asymptotic Stability of Nonlinear Circuits Related to Maximum Flow Problems

Takahashi, N., 2011, In : Nonlinear Theory and Its Applications, IEICE. 2, 4, p. 432-442 11 p.Research output: Contribution to journal › Article

## Maximum Clustering Coefficient of Graphs with Given Number of Vertices and Edges

Takahashi, N., 2011, In : Nonlinear Theory and Its Applications, IEICE. 2, 4, p. 443-457 15 p.Research output: Contribution to journal › Article

## On Topology of Networked Multi-Agent Systems for Fast Consensus

Takahashi, N., 2011, In : Proceedings of 2011 International Symposium on Nonlinear Theory and its Applications. p. 56-59 4 p.Research output: Contribution to journal › Article

## Global Asymptotic Stability Analysis of Nonlinear Circuits for Solving the Maximum Flow Problem

Takahashi, N., 2010, In : Proceedings of 2010 International Symposium on Nonlinear Theory and its Applications. p. 358-361 4 p.Research output: Contribution to journal › Article

## Sufficient conditions for one-dimensional cellular neural networks to perform connected component detection

Takahashi, N., Ishitobi, K. & Nishi, T., Oct 1 2010, In : Nonlinear Analysis: Real World Applications. 11, 5, p. 4202-4213 12 p.Research output: Contribution to journal › Article

## A Two-Phase Decomposition Algorithm for Solving Convex Quadratic Programming Problems

Takahashi, N., 2009, In : Proceedings of 2009 International Symposium on Nonlinear Theory and its Applications. p. 576-579 4 p.Research output: Contribution to journal › Article

## A New Decomposition Algorithm for Solving Convex Quadratic Programming Problems

Takahashi, N., 2008, In : Proceedings of 2008 International Symposium on Nonlinear Theory and its Applications. p. 73-76 4 p.Research output: Contribution to journal › Article

## Global convergence of SMO algorithm for support vector regression

Takahashi, N., Guo, J. & Nishi, T., Dec 1 2008, In : IEEE Transactions on Neural Networks. 19, 6, p. 971-982 12 p.Research output: Contribution to journal › Article

## Stable patterns realized by a class of one-dimensional two-layer CNNs

Takahashi, N., Nagayoshi, M., Kawabata, S. & Nishi, T., Dec 1 2008, In : IEEE Transactions on Circuits and Systems I: Regular Papers. 55, 11, p. 3607-3620 14 p.Research output: Contribution to journal › Article

## A New Working Set Selection for Decomposition-Type SVM Learning Algorithms

Takahashi, N., 2007, In : Proceedings of 2007 International Symposium on Nonlinear Theory and its Applications. p. 280-283 4 p.Research output: Contribution to journal › Article

## A Stability Condition for a Simple Type of Two-Dimensional Discrete-Time Binary Cellular Neural Networks

Takahashi, N., 2007, In : Proceedings of 2007 International Symposium on Nonlinear Theory and its Applications. p. 19-22 4 p.Research output: Contribution to journal › Article

## An efficient method for simplifying decision functions of support vector machines

Guo, J., Takahashi, N. & Nishi, T., Oct 2006, In : IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E89-A, 10, p. 2795-2802 8 p.Research output: Contribution to journal › Article

## Further Analysis on Condition for 1-D CNNs to Perform Connected Component Detection

Takahashi, N., 2006, In : Proceedings of 2006 International Symposium on Nonlinear Theory and its Applications. p. 735-738 4 p.Research output: Contribution to journal › Article

## Global convergence of decomposition learning methods for support vector machines

Takahashi, N. & Nishi, T., Nov 1 2006, In : IEEE Transactions on Neural Networks. 17, 6, p. 1362-1369 8 p.Research output: Contribution to journal › Article

## Necessary and Sufficient Condition for a Class of Planar Dynamical Systems Related to CNNs to be Completely Stable

Takahashi, N. & Nishi, T., Jan 1 2006, In : IEEE Transactions on Circuits and Systems II: Express Briefs. 53, 8, p. 727-733 7 p.Research output: Contribution to journal › Article

## Necessary and sufficient conditions for a 1-D DBCNN with an input to be stable in terms of connection coefficients

Nishi, T., Hara, H. & Takahashi, N., Oct 2006, In : IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E89-A, 10, p. 2825-2832 8 p.Research output: Contribution to journal › Article

## Necessary and sufficient conditions for one-dimensional discrete-time autonomous binary cellular neural networks to be stable

Nishi, T., Takahashi, N. & Hara, H., Dec 2006, In : IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E89-A, 12, p. 3693-3698 6 p.Research output: Contribution to journal › Article

## Study on the Number of Equilibrium Points for a 1-D CNN with No Input

Takahashi, N., 2006, In : Proceedings of 2006 International Symposium on Nonlinear Theory and its Applications. p. 727-730 4 p.Research output: Contribution to journal › Article

## An Efficient Method for Searching Optimal Kernel Parameter of Support Vector Machines

Takahashi, N., 2005, In : Proceedings of 2005 International Symposium on Nonlinear Theory and its Applications. p. 238-241 4 p.Research output: Contribution to journal › Article

## Rigorous proof of termination of SMO algorithm for support vector machines

Takahashi, N. & Nishi, T., May 1 2005, In : IEEE Transactions on Neural Networks. 16, 3, p. 774-776 3 p.Research output: Contribution to journal › Article

## A Design Method of Cellular Neural Networks for Associative Memories based on Linear Programming

Takahashi, N., 2004, In : Proceedings of 2004 International Symposium on Nonlinear Theory and its Applications. p. 641-644 4 p.Research output: Contribution to journal › Article

## A learning method for robust support vector machines

Guo, J., Takahashi, N. & Nishi, T., Dec 1 2004, In : Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 3173, p. 474-479 6 p.Research output: Contribution to journal › Article

## An Efficient Decomposition Learning Method for Support Vector Regression

Takahashi, N., 2004, In : Proceedings of 2004 International Symposium on Nonlinear Theory and its Applications. p. 705-708 4 p.Research output: Contribution to journal › Article

## Necessary and sufficient conditions for 2-dimensional discrete-time systems described by the signum function to be stable

Hara, H., Nishi, T. & Takahashi, N., Jun 2004, In : IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E87-A, 6, p. 1500-1502 3 p.Research output: Contribution to journal › Article

## Necessary and Sufficient Conditions for One-Dimensional Discrete-Time Binary Cellular Neural Network

Takahashi, N., 2004, In : Proceedings of 2004 IEEE International Midwest Symposium on Circuits and Systems. 1, p. 389-392 4 p.Research output: Contribution to journal › Article

## Necessary and Sufficient Conditions for One-Dimensional Discrete-Time Binary Cellular Neural Network to be Stable - No Input Case -

Takahashi, N., 2004, In : Proceedings of 8th IEEE International Workshop on Cellular Neural Networks and their Applications. p. 453-458 6 p.Research output: Contribution to journal › Article

## Realization of Limit Cycles with Length 8 or 4 by Three-Dimensional Binary State Equations

Takahashi, N., 2004, In : Proceedings of 2004 International Technical Conference on Circuits/Systems, Computers and Communications. p. 7B2L-4-1-7B2L-4-4 4 p.Research output: Contribution to journal › Article

## A Consideration on the Stability of the Third-Order Discrete-Time Systems Including Signum Function

Takahashi, N., 2003, In : Proceedings of International Symposium on Information Science and Electrical Engineering 2003. p. 22-25 4 p.Research output: Contribution to journal › Article

## A Method for Solving Optimization Problems with Equality Constraints by Using the SPICE Program

Guo, J., Nishi, T. & Takahashi, N., Sep 2003, In : IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E86-A, 9, p. 2325-2332 8 p.Research output: Contribution to journal › Article

## An Analog Circuit for Solving a kind of Constrained Optimization Problems

Takahashi, N., 2003, In : Proceedings of 2003 International Symposium on Intelligent Signal Processing and Communication Systems. p. 192-197 6 p.Research output: Contribution to journal › Article