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Journal Papers

  1. Norikazu Takahashi, “Zangwill's global convergence theorem and its application to nonnegative matrix factorization,” IEICE Transactions on Fundamentals Electronics, Communications and Computer Science (Japanese Edition), vol.J106-A, no.9, pp.242-254, September 2023 (in Japanese).
    DOI:10.14923/transfunj.2022JAI0001

  2. Daiki Hirata and Norikazu Takahashi, “Ensemble learning in CNN augmented with fully connected subnetworks,” IEICE Transactions on Information and Systems, vol.E106-D, no.7, pp.1258-1261, July 2023.
    DOI:10.1587/transinf.2022EDL8098 (open access)

  3. Norikazu Takahashi, Tsuyoshi Yamakawa, Yasuhiro Minetoma, Tetsuo Nishi and Tsuyoshi Migita, “Design of continuous-time recurrent neural networks with piecewise-linear activation function for generation of prescribed sequences of bipolar vectors,” Neural Networks, vol.164, pp.588-605, July 2023.
    DOI:10.1016/j.neunet.2023.05.013 (open access)

  4. Takehiro Sano, Tsuyoshi Migita and Norikazu Takahashi, “A novel update rule of HALS algorithm for nonnegative matrix factorization and Zangwill's global convergence,” Journal of Global Optimization, vol.84, no.3, pp.755-781, November 2022.
    DOI:10.1007/s10898-022-01167-7 (open access)

  5. Yoshiki Satotani, Tsuyoshi Migita and Norikazu Takahashi, “An algorithm for updating betweenness centrality scores of all vertices in a graph upon deletion of a single edge,” Journal of Complex Networks, vol.10, no.4, 22 pages, August 2022.
    DOI:10.1093/comnet/cnac033 (open access)

  6. Norikazu Takahashi, Daiki Hirata, Shuji Jimbo and Hiroaki Yamamoto, “Band-restricted diagonally dominant matrices: computational complexity and application,” Journal of Computer and System Sciences, vol.101, pp.100-111, May 2019.
    DOI:10.1016/j.jcss.2018.10.006 (open archive)

  7. Hiromasa Kohno, Yuichi Tanji, Ken'ichi Fujimoto, Hiroyuki Kitajima, Yo Horikawa and Norikazu Takahashi, “Reconstruction of CT images using iterative least-squares methods with nonnegative constraint,” Journal of Signal Processing, vol.23, no.2, pp.41-48, March 2019.
    DOI:10.2299/jsp.23.41 (open access)

  8. Norikazu Takahashi, Jiro Katayama, Masato Seki and Jun'ichi Takeuchi, “A unified global convergence analysis of multiplicative update rules for nonnegative matrix factorization,” Computational Optimization and Applications, vol.71, no.1, pp.221-250, September 2018.
    DOI:10.1007/s10589-018-9997-y | PDF (accepted version)
    * An error has been found. See Erratum Sheet for details.

  9. Norikazu Takahashi and Kosuke Kawashima, “A simple sufficient condition for convergence of projected consensus algorithm,” IEEE Control Systems Letters, vol.2, no.3, pp.537-542, July 2018.
    DOI:10.1109/LCSYS.2018.2843679 | PDF (accepted version)
    * This paper was also accepted by The 57th IEEE Conference on Decision and Control (December 17-19, 2018, Fontainebleau Miami Beach, Miami Beach, Florida, USA), and Kosuke Kawashima made an oral presentation on December 19, 2018.

  10. Takumi Kimura and Norikazu Takahashi, “Gauss-Seidel HALS algorithm for nonnegative matrix factorization with sparseness and smoothness constraints,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol.E100-A, no.12, pp.2925-2935, December 2017.
    DOI:10.1587/transfun.E100.A.2925 | PDF (Copyright©IEICE) | IEICE Transactions Online

  11. Kohnosuke Ogiwara, Tatsuya Fukami and Norikazu Takahashi, “Maximizing algebraic connectivity in the space of graphs with fixed number of vertices and edges,” IEEE Transactions on Control of Network Systems, vol.4, no.2, pp.359-368, June 2017.
    DOI:10.1109/TCNS.2015.2503561 | PDF (accepted version)

  12. Tatsuya Fukami and Norikazu Takahashi, “Graphs that locally maximize clustering coefficient in the space of graphs with a fixed degree sequence,” Discrete Applied Mathematics, vol.217, no.3, pp.525-535, January 2017.
    DOI:10.1016/j.dam.2016.10.002 (open archive)

  13. Norikazu Takahashi and Ryota Hibi, “Global convergence of modified multiplicative updates for nonnegative matrix factorization,” Computational Optimization and Applications, vol.57, pp.417-440, March 2014.
    DOI: 10.1007/s10589-013-9593-0 | PDF (accepted version)
    * An error has been found. See Erratum Sheet for details.

  14. Tatsuya Fukami and Norikazu Takahashi, “New classes of clustering coefficient locally maximizing graphs,” Discrete Applied Mathematics, vol.162, pp.202-213, January 2014.
    DOI: 10.1016/j.dam.2013.09.013 (open archive)

  15. Tetsuo Nishi, Shin'ichi Oishi and Norikazu Takahashi, “Explicit proof of an inequality related to the Omega-matrix,” Nonlinear Theory and Its Applications, IEICE, vol.4, no.4, pp.430-450, October 2013.
    DOI: 10.1587/nolta.4.430 (open access)

  16. Tetsuo Nishi, Shin'ichi Oishi and Norikazu Takahashi, “Some properties of solution curves of a class of nonlinear equations and the number of solutions,” Nonlinear Theory and Its Applications, IEICE, vol.3, no.3, pp.301-335, July 2012.
    DOI: 10.1587/nolta.3.301 (open access)

  17. Saki Koizuka and Norikazu Takahashi, “Maximum clustering coefficient of graphs with given number of vertices and edges,” Nonlinear Theory and Its Applications, IEICE, vol.2, no.4, pp.443-457, October 2011.
    DOI: 10.1587/nolta.2.443 (open access)

  18. Norikazu Takahashi, “Global asymptotic stability of nonlinear circuits related to maximum flow problems,” Nonlinear Theory and Its Applications, IEICE, vol.2, no.4, pp.432-442, October 2011.
    DOI: 10.1587/nolta.2.432 (open access)

  19. Norikazu Takahashi, Ken Ishitobi and Tetsuo Nishi, “Sufficient conditions for one-dimensional cellular neural networks to perform connected component detection,” Nonlinear Analysis: Real World Applications, vol.11, no.5, pp.4202-4213, October 2010.
    DOI: 10.1016/j.nonrwa.2010.05.007 | PDF (accepted version)

  20. Norikazu Takahashi, Makoto Nagayoshi, Susumu Kawabata and Tetsuo Nishi, “Stable patterns realized by a class of one-dimensional two-layer CNNs,” IEEE Transactions on Circuits and Systems-I, vol.55, no.11, pp.3607-3620, December 2008.
    DOI: 10.1109/TCSI.2008.925828 | PDF (accepted version)

  21. Norikazu Takahashi, Jun Guo and Tetsuo Nishi, “Global convergence of SMO algorithm for support vector regression,” IEEE Transactions on Neural Networks, vol.19, no.6, pp.971-982, June 2008.
    DOI: 10.1109/TNN.2007.915116 | PDF (accepted version)

  22. Tetsuo Nishi, Norikazu Takahashi and Hajime Hara, “Necessary and sufficient conditions for one-dimensional discrete-time autonomous binary cellular neural networks to be stable,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol.E89-A, no.12, pp.3693-3698, December 2006.
    DOI: 10.1093/ietfec/e89-a.12.3693

  23. Norikazu Takahashi and Tetsuo Nishi, “Global convergence of decomposition learning methods for support vector machines,” IEEE Transactions on Neural Networks, vol.17, no.6, pp.1362-1369, November 2006.
    DOI: 10.1109/TNN.2006.880584 | PDF (accepted version)

  24. Tetsuo Nishi, Hajime Hara and Norikazu Takahashi, “Necessary and sufficient conditions for a 1-D DBCNN with an input to be stable in terms of connection coefficients,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol.E89-A, no.10, pp.2825-2832, October 2006.
    DOI: 10.1093/ietfec/e89-a.10.2825

  25. Jun Guo, Norikazu Takahashi and Tetsuo Nishi, “An efficient method for simplifying decision functions of support vector machines,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol.E89-A, no.10, pp.2795-2802, October 2006.
    DOI: 10.1093/ietfec/e89-a.10.2795

  26. Norikazu Takahashi and Tetsuo Nishi, “Necessary and sufficient condition for a class of planar dynamical systems related to CNNs to be completely stable,” IEEE Transactions on Circuits and Systems - II, vol.53, no.8, pp.727-733, August 2006.
    DOI: 10.1109/TCSII.2006.876466 | PDF (accepted version)

  27. Norikazu Takahashi and Tetsuo Nishi, “Rigorous proof of termination of SMO algorithm for support vector machines,” IEEE Transactions on Neural Networks, vol.16, no.3, pp.774-776, May 2005.
    DOI: 10.1109/TNN.2005.844857 | PDF (accepted version)

  28. Hajime Hara, Tetsuo Nishi and Norikazu Takahashi, “Necessary and sufficient conditions for 2-dimensional discrete-time systems described by the signum function to be stable,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol.E87-A, no.6, pp.1500-1502, June 2004.
    Journal Web Page

  29. Ryoma Bise, Norikazu Takahashi and Tetsuo Nishi, “An improvement of the design method of cellular neural networks based on generalized eigenvalue minimization,” IEEE Transactions on Circuits and Systems-I, vol.50, no.12, pp.1569-1574, December 2003.
    DOI: 10.1109/TCSI.2003.819827 | PDF (accepted version)

  30. Jun Guo, Tetsuo Nishi and Norikazu Takahashi, “A method for solving optimization problems with equality constraints by using the SPICE program,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol.E86-A, no.9, pp.2325-2332, September 2003.
    Journal Web Page

  31. Jun Tsuzurugi, Norikazu Takahashi and Shin Ishii, “Associative memory with hidden units by a hybrid learning,” Transactions of ISCIE, vol.15, no.11, pp.600-606, 2002 (in Japanese).

  32. Norikazu Takahashi and Tetsuo Nishi, “A generalization of some complete stability conditions for cellular neural networks with delay,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol.E85-A, no.9, pp.2044-2051, September 2002.
    Journal Web Page

  33. Hidenori Sato, Tetsuo Nishi and Norikazu Takahashi, “Necessary and sufficient conditions for one-dimensional discrete-time binary cellular neural networks with unspecified fixed boundaries to be stable,” IEICE Transactions Fundamentals of Electronics, Communications and Computer Sciences, vol.E85-A, no.9, pp.2036-2043, September 2002.
    Journal Web Page

  34. Norikazu Takahashi, “A new sufficient condition for complete stability of cellular neural networks with delay,” IEEE Transactions on Circuits and Systems-I, vol.47, no.6, pp.793-799, June 2000.
    DOI: 10.1109/81.852931 | PDF (accepted version)

  35. Norikazu Takahashi and Leon O. Chua, “On the complete stability of nonsymmetric cellular neural networks,” IEEE Transactions on Circuits and Systems-I, vol.45, no.7, pp.754-758, July 1998.
    DOI: 10.1109/81.703843

  36. Norikazu Takahashi and Leon O. Chua, “A new sufficient condition for nonsymmetric CNNs to have a stable equilibrium point,” IEEE Transactions on Circuits and Systems-I, vol.44, no.11, pp.1092-1095, November 1997.
    DOI: 10.1109/81.641777

  37. Tetsuo Nishi and Norikazu Takahashi, “A test for nonnegativity of real polynomials,” IEICE Transactions on Fundamental of Electronics, Communications and Computer Sciences, vol.J79-A, no.4, pp.930-936, April 1996 (in Japanese).
    Journal Web Page
    (*) This paper was translated into English and published as: Tetsuo Nishi and Norikazu Takahashi, “A test for nonnegativity of real polynomials,” Electronics and Communications in Japan Part III- Fundamental Electronic Science, vol.81, no.5, pp.58-65, May 1998.
    DOI: 10.1002/(SICI)1520-6440(199805)81:5%3C58::AID-ECJC7%3E3.0.CO;2-Z

  38. Tetsuo Nishi and Norikazu Takahashi, “On the number of solutions of a class of nonlinear equations related to neural networks with tapered connections,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol.E78-A, no.10, pp.1299-1305, October 1995.
    Journal Web Page

International Conference Papers

  1. Takao Masuda, Kento Yamada, Tsuyoshi Migita and Norikazu Takahashi, “A novel HALS-based iterative algorithm for randomized nonnegative matrix factorization” Proceedings of the 2023 International Symposium on Nonlinear Theory and Its Applications, pp.704-707, September, 2023.
    DOI: 10.34385/proc.76.D2L-23 | PDF (published version)
    * NOLTA2023 was held at University of Catania, Catania, Italy from September 26 to 29, and the paper was presented by Kento Yamada in an oral session on September 29.

  2. Shohei Kan, Norikazu Takahashi, Masaki Himuro, Akito Mashino, Kengo Iokibe and Yoshitaka Toyota, “Multi-objective design of filter installed in brush motor by artificial neural network accounting for cable length,” Proceedings of the 2023 IEEE Symposium on Electromagnetic Compatibility & Signal/Power Integrity (EMC+SIPI), p.591, July-August, 2023.
    DOI: 10.1109/EMCSIPI50001.2023.10241637
    * EMC+SIPI2023 was held at DeVos Place Convention Center, Grand Rapids, Michigan, USA from July 29 to August 4, and the paper was presented by Shohei Kan in an oral session on August 3.

  3. Kaito Arase, Zhijian Wu, Tsuyoshi Migita and Norikazu Takahashi, “Deep learning of OpenStreetMap images labeled using road traffic accident data,” Proceedings of the 2022 IEEE Region 10 Conference (TENCON2022), pp.1-6, November 2022.
    DOI: 10.1109/TENCON55691.2022.9977529
    * TENCON2022 was held in hybrid mode from November 1 to 4, and the paper was presented online by Kaito Arase in an oral session on November 3.

  4. Taku Hirayama, Tsuyoshi Migita and Norikazu Takahashi, “A faster algorithm to search for generalized Moore graphs,” Proceedings of the 2022 IEEE Region 10 Conference (TENCON2022), pp.1-6, November 2022.
    DOI: 10.1109/TENCON55691.2022.9977538
    * TENCON2022 was held in hybrid mode from November 1 to 4, and the paper was presented online by Taku Hirayama in an oral session on November 1.

  5. Tsuyoshi Migita, Ayane Okada and Norikazu Takahashi, “Uncalibrated photometric stereo using superquadrics with texture estimation,” Proceedings of the 28th International Workshop on Frontiers of Computer Vision (IW-FCV2022) (Communications in Computer and Information Science, vol.1578), pp.34-48, May 2022.
    DOI: 10.1007/978-3-031-06381-7_3
    * IW-FCV2022 was held virtually from February 21 to 22, and the paper was presented online by Tsuyoshi Migita in an oral session on February 21.

  6. Keiju Hayashi, Tsuyoshi Migita and Norikazu Takahashi, “Distributed HALS algorithm for NMF based on simple average consensus algorithm,” Proceedings of the 2021 IEEE International Conference on Progress in Informatics and Computing (PIC-2021), pp.41-47, December 2021.
    DOI: 10.1109/PIC53636.2021.9687076
    * PIC-2021 was held virtually from December 17 to 19, and the paper was presented online by Keiju Hayashi in an oral session on December 18.
    * This paper won the Best Paper Award in PIC-2021.

  7. Takao Masuda, Tsuyoshi Migita and Norikazu Takahashi, “An algorithm for randomized nonnegative matrix factorization and its global convergence,” Proceedings of the 2021 IEEE Symposium Series on Computational Intelligence (SSCI2021), pp.1-7, December 2021.
    DOI: 10.1109/SSCI50451.2021.9659900
    * SSCI2021 was held virtually from December 5 to 7, and the paper was presented online by Takao Masuda in an oral session on December 7.

  8. Takumi Nasu, Tsuyoshi Migita and Norikazu Takahashi, “Uncalibrated photometric stereo using superquadrics with cast shadow,” Proceedings of the 27th International Workshop on Frontiers of Computer Vision (IW-FCV2021) (Communications in Computer and Information Science, vol.1405), pp.267-280, July 2021.
    DOI: 10.1007/978-3-030-81638-4_22
    * IW-FCV2021 was held virtually from February 22 to 23, and the paper was presented online by Takumi Nasu in a poster session on February 23.

  9. Norikazu Takahashi, Mutsuki Oura and Tsuyoshi Migita, “Distributed algorithm for principal component analysis based on power method and average consensus algorithm,” Proceedings of the 2020 IEEE International Conference on Progress in Informatics and Computing (PIC-2020), pp.16-21, December 2020.
    DOI: 10.1109/PIC50277.2020.9350816
    * PIC2020 was held both face-to-face and virtually from December 18 to 20, and the paper was presented online by Mutsuki Oura in an oral session on December 19.

  10. Reiji Hayashi, Tsuyoshi Migita and Norikazu Takahashi, “A genetic algorithm for finding regular graphs with minimum average shortest path length,” Proceedings of the 2020 IEEE Symposium Series on Computational Intelligence (SSCI2020), pp.2431-2436, December 2020.
    DOI: 10.1109/SSCI47803.2020.9308205
    * SSCI2020 was held virtually from December 1 to 4, and the paper was presented by Reiji Hayashi in an oral session on December 4.

  11. Zhuo Wu, Tsuyoshi Migita and Norikazu Takahashi, “Element-wise alternating least squares algorithm for nonnegative matrix factorization on one-hot encoded data,” Proceedings of the 27th International Conference on Neural Information Processing (ICONIP2020) (Communications in Computer and Information Science, vol.1333), pp.342-350, November 2020.
    DOI: 10.1007/978-3-030-63823-8_40
    * ICONIP2020 was held virtually from November 18 to 22, and the paper was presented by Zhuo Wu in an oral session on November 20.

  12. Takumi Nasu, Tsuyoshi Migita, Takeshi Shakunaga and Norikazu Takahashi, “Uncalibrated photometric stereo using quadric surfaces with two cameras,” Proceedings of the International Workshop on Frontiers of Computer Vision (IW-FCV2020) (Communications in Computer and Information Science, vol.1212), pp.318-332, April 2020.
    DOI: 10.1007/978-981-15-4818-5_24
    * IW-FCV2020 was held at Fureai Plaza Nanohanakan, Ibusuki, Kagoshima, Japan from February 20 to 22, and the paper was presented by Takumi Nasu in an oral session on February 21.

  13. Yohei Domen, Tsuyoshi Migita and Norikazu Takahashi, “A distributed HALS algorithm for Euclidean distance-based nonnegative matrix factorization,” Proceedings of the 2019 IEEE Symposium Series on Computational Intelligence (SSCI2019), pp.1333-1338, December 2019.
    DOI: 10.1109/SSCI44817.2019.9003158
    * SSCI2019 was held at Seaview Resort Xiamen, Xiamen, China from December 6 to 9, and the paper was presented by Yohei Domen in an oral session on December 9.

  14. Katsuki Shimada, Tsuyoshi Migita and Norikazu Takahashi, “An infinity norm-based pseudo-decentralized discrete-time algorithm for computing algebraic connectivity,” Proceedings of the 2019 IEEE Symposium Series on Computational Intelligence (SSCI2019), pp.1292-1298, December 2019.
    DOI: 10.1109/SSCI44817.2019.9002875
    * SSCI2019 was held at Seaview Resort Xiamen, Xiamen, China from December 6 to 9, and the paper was presented by Katsuki Shimada in an oral session on December 9.

  15. Hiroki Tajiri, Tsuyoshi Migita and Norikazu Takahashi, “A genetic algorithm for maximizing algebraic connectivity of graphs by adding multiple edges,” Proceedings of the 2019 International Symposium on Nonlinear Theory and Its Applications (NOLTA2019), pp.138-141, December 2019.
    PDF (published version)
    * NOLTA2019 was held at Berjaya Times Square Hotel, Kuala Lumpur, Malaysia from December 2 to 6, and the paper was presented by Hiroki Tajiri in an oral session on December 3.

  16. Kazuaki Harada, Tsuyoshi Migita and Norikazu Takahashi, “New rules for choosing values of consensus weights in distributed training of neural networks,” Proceedings of the 2019 International Symposium on Nonlinear Theory and Its Applications (NOLTA2019), pp.17-20, December 2019.
    PDF (published version)
    * NOLTA2019 was held at Berjaya Times Square Hotel, Kuala Lumpur, Malaysia from December 2 to 6, and the paper was presented by Kazuaki Harada in an oral session on December 3.
    * This paper was selected as a candidate of NOLTA2019 Best Student Paper Award

  17. Yuki Taketa, Yuta Kodera, Shogo Tanida, Takuya Kusaka, Yasuyuki Nogami, Norikazu Takahashi and Satoshi Uehara, “Mutual relationship between the neural network model and linear complexity for pseudorandom binary number Sequence,” Proceedings of the Seventh International Symposium on Computing and Networking Workshops, pp.394-400, November 2019.
    DOI:10.1109/CANDARW.2019.00074
    * This paper was presented by Yuki Taketa on November 27 in an oral session at the 6th International Workshop on Information and Communication Security (WICS2019) which was held at Nagasaki Civic Center, Nagasaki, Japan from November 27 to 29, in conjunction with the Seventh International Sympsium on Computing and Networking (CANDAR2019).

  18. Takehiro Sano, Tsuyoshi Migita and Norikazu Takahashi, “A damped Newton algorithm for nonnegative matrix factorization based on alpha-divergence,” Proceedings of the 2019 6th International Conference on Systems and Informatics (ICSAI2019), pp.350-355, November 2019.
    DOI:10.1109/ICSAI48974.2019.9010306
    * ICSAI2019 was held at Vienna International Hotel Shanghai Dishui Lake Ocean Park Branch, Shanghai, China from November 2 to 4, and the paper was presented by Takehiro Sano in an oral session on November 3.

  19. Yoshito Usuzaka and Norikazu Takahashi, “A novel NMF algorithm for detecting clusters in directed networks,” Proceedings of the 2019 International Conference on Computing, Networking and Communications (ICNC2019), pp.148-152, February 2019.
    DOI: 10.1109/ICCNC.2019.8685549
    * The paper was presented by Yoshito Usuzaka in an oral session at 2019 Workshop on Computing, Networking and Communications (CNC2019) which was held at Waikiki Beach Marriott Resort & Spa, Honolulu, U.S.A. on February 18, as a part of ICNC2019 which was held at the same place from February 18 to 21.

  20. Yoshiki Satotani and Norikazu Takahashi, “Depth-first search algorithms for finding a generalized Moore graph,” Proceedings of the 2018 IEEE Region 10 Conference (TENCON2018), pp.832-837, October 2018.
    DOI: 10.1109/TENCON.2018.8650418
    * TENCON2018 was held at Ramada Plaza Jeju, Jeju, Korea from October 28 to 31, and the paper was presented by Yoshiki Satotani in an oral session on October 30.

  21. Masaaki Takeuchi and Norikazu Takahashi, “A distributed algorithm for solving Sandberg-Willson equations,” Proceedings of the 2018 International Symposium on Nonlinear Theory and Its Applications (NOLTA2018), pp.259-262, September 2018.
    PDF (published version)
    * NOLTA2018 was held at Palau de Congressos de Tarragona, Tarragona, Spain from September 2 to 6, and the paper was presented by Masaaki Takeuchi in an oral session on September 4.
    * This paper was selected as a candidate of NOLTA2018 Best Student Paper Award

  22. Hiromasa Kohno, Yuichi Tanji, Ken'ichi Fujimoto, Hiroyuki Kitajima, Yo Horikawa and Norikazu Takahashi, “Reconstruction of CT images by iterative least squares methods with nonnegative constraint,” Proceedings of the 2018 International Symposium on Nonlinear Theory and Its Applications (NOLTA2018), pp.132-135, September 2018.
    * NOLTA2018 was held at Palau de Congressos de Tarragona, Tarragona, Spain from September 2 to 6, and the paper was presented by Hiromasa Kohno in an oral session on September 3.

  23. Tomohisa Urakami and Norikazu Takahashi, “Analysis of a pseudo-decentralized discrete-time algorithm for estimating algebraic connectivity of multiagent networks,” Proceedings of the 2017 International Symposium on Nonlinear Theory and Its Applications (NOLTA2017), pp.427-430, December 2017.
    PDF (published version)
    * NOLTA2017 was held at Cancun International Convention Center, Cancun, Mexico from December 4 to 7, and the paper was presented by Tomohisa Urakami in an oral session on December 6.
    * This paper was selected as a candidate of NOLTA2017 Best Student Paper Award

  24. Akihiro Koso and Norikazu Takahashi, “Derivation of multiplicative update rules for nonnegative matrix factorization with regularization terms,” Proceedings of the 2017 International Symposium on Nonlinear Theory and Its Applications (NOLTA2017), pp.322-325, December 2017.
    PDF (published version)
    * NOLTA2017 was held at Cancun International Convention Center, Cancun, Mexico from December 4 to 7, and the paper was presented by Akihiro Koso in an oral presentation on December 5.

  25. Satoshi Nakatsu and Norikazu Takahashi, “A novel Newton-type algorithm for nonnegative matrix factorization with alpha-divergence,” Proceedings of the 24th International Conference on Neural Information Processing (ICONIP2017), pp.335-344, 2017 (Lecture Notes in Computer Science, vol.10634, pp.335-344, 2017).
    DOI: 10.1007/978-3-319-70087-8_36
    * ICONIP2017 was held at Ramada Pearl Hotel Guangzhou, Guangzhou, China from November 14 to 18, and the paper was presented by Satoshi Nakatsu in an oral session on November 17.

  26. Toshiyuki Namba, Tatsuki Kohno and Norikazu Takahashi, “A fast method for finding the edge to be added to minimize betweenness centrality of a specified vertex,” Proceedings of the 2016 International Symposium on Nonlinear Theory and Its Applications (NOLTA2016), pp.614-617, November 2016.
    PDF (published version)
    * NOLTA2016 was held at New Welcity Yugawara, Yugawara, Japan from November 27 to 30, and the paper was presented by Toshiyuki Namba in an oral session on November 30.

  27. Ryoya Ishii and Norikazu Takahashi, “Extensions of a theorem on algebraic connectivity maximizing graphs,” Proceedings of the 2016 International Symposium on Nonlinear Theory and Its Applications (NOLTA2016), pp.598-601, November 2016.
    PDF (published version)
    * NOLTA2016 was held at New Welcity Yugawara, Yugawara, Japan from November 27 to 30, and the paper was presented by Ryoya Ishii in an oral session on November 30.

  28. Kento Endo and Norikazu Takahashi, “A new decentralized discrete-time algorithm for estimating algebraic connectivity of multiagent networks,” Proceedings of the 2016 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS2016), pp.232-235, October 2016.
    DOI: 10.1109/APCCAS.2016.7803941
    * APCCAS2016 was held at Ramada Plaza Jeju Hotel, Jeju, Korea from October 25 to 28, and the paper was presented by Kento Endo in an oral session on October 27.
    * An error was found. See Erratum Sheet for details.

  29. Norikazu Takahashi and Masato Seki, “Multiplicative update for a class of constrained optimization problems related to NMF and its global convergence,” Proceedings of the 2016 European Signal Processing Conference (EUSIPCO2016), pp.438-442, August 2016.
    DOI: 10.1109/EUSIPCO.2016.7760286
    * EUSIPCO2016 was held at Hilton Budapest, Budapest, Hungary from August 29 to September 2, and the paper was presented by Norikazu Takahashi in a poster session on August 30.

  30. Takumi Kimura and Norikazu Takahashi, “Global convergence of a modified HALS algorithm for nonnegative matrix factorization,” Proceedings of the 2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP2015), pp.21-24, December 2015.
    DOI: 10.1109/CAMSAP.2015.7383726
    * CAMSAP2015 was held at Grand Fiesta Americana Coral Beach Resort, Cancun, Mexico from December 13 to 16, and the paper was presented by Takumi Kimura in the poster session “Student Paper Contest” on December 13 and in the poster session “Convex Optimization and Computational Algebra” on December 14.

  31. Takuro Fujihara and Norikazu Takahashi, “Complete multipartite graphs maximize algebraic connectivity in the neighborhood based on 2-switch,” Proceedings of the 2015 International Symposium on Nonlinear Theory and its Applications (NOLTA2015), pp.285-288, December 2015.
    PDF (published version)
    * NOLTA2015 was held at City University of Hong Kong, Hong Kong, China from December 1 to 4, and the paper was presentation by Takuro Fujihara in an oral session on December 2.

  32. Kazuma Yamane and Norikazu Takahashi, “Proposal of a truly decentralized algorithm for estimating algebraic connectivity of multi-agent networks,” Proceedings of the 2015 International Symposium on Nonlinear Theory and its Applications (NOLTA2015), pp.277-280, December 2015.
    PDF (published version)
    * NOLTA2015 was held at City University of Hong Kong, Hong Kong, China from December 1 to 4, and the paper was presented by Kazuma Yamane in an oral session on December 2.

  33. Takuro Fujihara and Norikazu Takahashi, “On graphs that locally maximize algebraic connectivity in the space of graphs with the fixed degree sequence,” Proceedings of the 2014 International Symposium on Nonlinear Theory and its Applications (NOLTA2014), pp.353-356, September 2014.
    PDF (published version)
    * NOLTA2014 was held at KKL Luzern and Bourbaki Panorama Luzern, Luzern, Switzerland from September 14 to 18, and the paper was presented by Takuro Fujihara in an oral session on September 16.

  34. Masato Seki and Norikazu Takahashi, “New update rules based on Kullback-Leibler, gamma, and Renyi divergences for nonnegative matrix factorization,” Proceedings of the 2014 International Symposium on Nonlinear Theory and its Applications (NOLTA2014), pp.48-51, September 2014.
    PDF (published version)
    * NOLTA2014 was held at KKL Luzern and Bourbaki Panorama Luzern, Luzern, Switzerland from September 14 to 18, and the paper was presented by Masato Seki in an oral session on September 15.

  35. Norikazu Takahashi, Jiro Katayama and Jun'ichi Takeuchi, “A generalized sufficient condition for global convergence of modified multiplicative updates for NMF,” Proceedings of the 2014 International Symposium on Nonlinear Theory and its Applications (NOLTA2014), pp.44-47, September 2014.
    PDF (published version)
    * NOLTA2014 was held at KKL Luzern and Bourbaki Panorama Luzern, Luzern, Switzerland from September 14 to 18, and the paper was presented by Norikazu Takahashi in an oral session on September 15.

  36. Jiro Katayama, Norikazu Takahashi and Jun'ichi Takeuchi, “Boundedness of modified multiplicative updates for nonnegative matrix factorization,” Proceedings of the Fifth IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP2013), pp.252-255, December 2013.
    DOI: 10.1109/CAMSAP.2013.6714055
    * CAMSAP2013 was held at Radisson Blu Resort, Saint Martin, from December 15 to 18, and the paper was presented by Jiro Katayama in an oral session on December 17.

  37. Tetsuro Teraji and Norikazu Takahashi, “On graphs that locally maximize global clustering coefficient,” Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications (NOLTA2013), pp.130-133, September 2013.
    PDF (published version)
    * NOLTA2013 was held at Santa Fe Community Convention Center, Santa Fe, U.S.A. from September 8 to 11, and the paper was presented by Tetsuro Teraji in an oral session on September 9.

  38. Heejae Yim, Norikazu Takahashi, Yukiko Yamauchi, Shuji Kijima and Masafumi Yamashita, “Finding items associated with varied members in a pairwise data stream,” Proceedings of the 16th Korea-Japan Joint Workshop on Algorithms and Computation (WAAC2013), pp.52-58, July 2013.
    * WAAC2013 was held at Kyonggi University, Korea from July 12 to 13, and the paper was presented by Heejae Yim in an oral session on July 12.

  39. Jiro Katayama and Norikazu Takahashi, “A modified multiplicative update algorithm for convex quadratic programming problems with nonnegativity constraints,” Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications (NOLTA2012), pp.431-434, October 2012.
    PDF (published version)
    * NOLTA2012 was held at Gran Melia Victoria, Palma, Majorca, Spain from October 22 to 26, and the paper was presented by Jiro Katayama in an oral session on October 24.

  40. Tetsuo Nishi, Shin'ichi Oishi and Norikazu Takahashi, “A theorem on a solution curve of a class of nonlinear equations,” Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications (NOLTA2012), pp.288-291, October 2012.
    * NOLTA2012 was held at Gran Melia Victoria, Palma, Majorca, Spain from October 22 to 26, and the paper was presented by Tetsuo Nishi in an oral session on October 24.

  41. Tatsuya Fukami and Norikazu Takahashi, “A new continuous-time algorithm for calculating algebraic connectivity of multi-agent networks,” Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications (NOLTA2012), pp.45-48, October 2012.
    PDF (published version)
    * NOLTA2012 was held at Gran Melia Victoria, Palma, Majorca, Spain from October 22 to 26, and the paper was presented by Tatsuya Fukami on October 23.

  42. Kotaro Yamaguchi, Masanori Kawakita, Norikazu Takahashi and Jun'ichi Takeuchi, “Information theoretic limit of single-frame super-resolution,” Proceedings of the Third International Conference on Emerging Security Technologies (EST2012), pp.82-85, September 2012.
    DOI: 10.1109/EST.2012.32
    * EST2012 was held at the Hotel Sofitel Lisbon Liberdade, Lisbon, Portugal from September 5 to 7, and the paper was presented by Kotaro Yamaguchi in an oral session on September 5.

  43. Ryota Hibi and Norikazu Takahashi, “A modified multiplicative update algorithm for Euclidean distance-based nonnegative matrix factorization and its global convergence,” Proceedings of the 18th International Conference on Neural Information Processing (ICONIP2011), Part-II, pp.655-662, November 2011.
    DOI: 10.1007/978-3-642-24958-7_76
    * ICONIP2011 was held at Majesty Plaza, Shanghai, China from November 14 to 17, and the paper was presented by Ryota Hibi on November 14.

  44. Tatsuya Fukami and Norikazu Takahashi, “Controlling clustering coefficient of graphs by means of 2-switch method,” Proceedings of the 2011 International Symposium on Nonlinear Theory and its Applications (NOLTA2011), pp.64-67, September 2011.
    PDF (published version)
    * NOLTA2011 was held at Kobe Industrial Promotion Center, Kobe, Japan from September 4 to 7, and the paper was presented by Tatsuya Fukami on September 5.

  45. Kohnosuke Ogiwara and Norikazu Takahashi, “On topology of networked multi-agent systems for fast consensus,” Proceedings of the 2011 International Symposium on Nonlinear Theory and its Applications (NOLTA2011), pp.56-59, September 2011.
    PDF (published version)
    * NOLTA2011 was held at Kobe Industrial Promotion Center, Kobe, Japan from September 4 to 7, and the paper was presented by Kohnosuke Ogiwara on September 5.

  46. Norikazu Takahashi, “Global asymptotic stability analysis of nonlinear circuits for solving the maximum flow problem,” Proceedings of the 2010 International Symposium on Nonlinear Theory and its Applications (NOLTA2010), pp.358-361, September 2010.

  47. Norikazu Takahashi, Tetsuo Nishi and Hajime Hara, “Analysis of signal propagation in 1-D CNNs with the antisymmetric template,” Proceedings of the 12th IEEE International Workshop on Cellular Nanoscale Networks and their Applications (CNNA2010), pp.1-6, February 2010.
    DOI: 10.1109/CNNA.2010.5430264

  48. Yuta Kobayashi and Norikazu Takahashi, “A two-phase decomposition algorithm for solving convex quadratic programming problems,” Proceedings of the 2009 International Symposium on Nonlinear Theory and its Applications (NOLTA2009), pp.576-579, October 2009.

  49. Norikazu Takahashi, “On clustering coefficients of graphs with the fixed numbers of vertices and edges,” Proceedings of the European Conference on Circuit Theory and Design 2009 (ECCTD2009), pp.814-817, August 2009.
    DOI: 10.1109/ECCTD.2009.5275108

  50. Jun Guo, Norikazu Takahashi and Wenxin Hu, “An efficient algorithm for multi-class support vector machines,” Proceedings of the 2008 International Conference on Advanced Computer Theory and Engineering (ICACTE2008), pp.327-331, December 2008.
    DOI: 10.1109/ICACTE.2008.48

  51. Jun Guo and Norikazu Takahashi, “Global convergence analysis of decomposition methods for support vector regression,” Proceedings of the 2008 International Symposium on Neural Networks (ISNN2008), pp.663-673, September 2008.
    DOI: 10.1007/978-3-540-87732-5_74

  52. Norikazu Takahashi, Yuta Kobayashi and Bo Chen, “A new decomposition algorithm for solving convex quadratic programming problems,” Proceedings of the 2008 International Symposium on Nonlinear Theory and its Applications (NOLTA2008), pp.73-76, September 2008.

  53. Norikazu Takahashi and Yasuhiro Minetoma, “On asymptotic behavior of state trajectories of piecewise-linear recurrent neural networks generating periodic sequence of binary vectors,” Proceedings of the 2008 International Joint Conference on Neural Networks (IJCNN2008), pp.485-490, June 2008.
    DOI: 10.1109/IJCNN.2008.4633836

  54. Norikazu Takahashi, Masashi Kuranoshita, Yusuke Kawazoe, Jun Guo and Jun'ichi Takeuchi, “A new working set selection for decomposition-type SVM learning algorithms,” Proceedings of the 2007 International Symposium on Nonlinear Theory and its Applications (NOLTA2007), pp.280-283, September 2007.

  55. Hajime Hara, Tomotaka Ogura, Toshio Asano, Tetsuo Nishi and Norikazu Takahashi, “A stability condition for a simple type of two-dimensional discrete-time binary cellular neural networks,” Proceedings of the 2007 International Symposium on Nonlinear Theory and its Applications (NOLTA2007), pp.19-22, September 2007.

  56. Norikazu Takahashi, Ken Ishitobi and Tetsuo Nishi, “Sufficient conditions for 1-D CNNs with opposite-sign templates to perform connected component detection,” Proceedings of the 2007 IEEE International Symposium on Circuits and Systems (ISCAS2007), pp.3159-3162, May 2007.
    DOI: 10.1109/ISCAS.2007.378101

  57. Jun Guo, Norikazu Takahashi and Tetsuo Nishi, “A novel sequential minimal optimization algorithm for support vector regression,” Proceedings of the 13th International Conference on Neural Information Processing (ICONIP2006), pp.827-836, October 2006.
    DOI: 10.1007/11893028_92

  58. Norikazu Takahashi and Tetsuo Nishi, “Further analysis on condition for 1-D CNNs to perform connected component detection,” Proceedings of the 2006 International Symposium on Nonlinear Theory and its Applications (NOLTA2006), pp.735-738, September 2006.

  59. Hajime Hara, Tetsuo Nishi and Norikazu Takahashi, “Study on the number of equilibrium points for a 1-D DBCNN with no input,” Proceedings of the 2006 International Symposium on Nonlinear Theory and its Applications (NOLTA2006), pp.727-730, September 2006.

  60. Jun Guo, Norikazu Takahashi and Tetsuo Nishi, “Convergence proof of a sequential minimal optimization algorithm for support vector regression,” Proceedings of the 2006 International Joint Conference on Neural Networks (IJCNN2006), pp.747-754, July 2006.

  61. Norikazu Takahashi and Tetsuo Nishi, “A Sufficient condition for 1-D CNNs with antisymmetric templates to perform connected component detection,” Proceedings of the 2006 IEEE International Symposium on Circuits and Systems (ISCAS2006), pp.2169-2172, May 2006.

  62. Keisuke Arima and Norikazu Takahashi, “An efficient method for searching optimal kernel parameter of support vector machines,” Proceedings of the 2005 International Symposium on Nonlinear Theory and its Applications (NOLTA2005), pp.238-241, October 2005.

  63. Norikazu Takahashi, Tsuyoshi Yamakawa and Tetsuo Nishi, “Realization of limit cycles by neural networks with piecewise linear activation function,” Proceedings of the 2005 European Conference on Circuit Theory and Design (ECCTD2005), August-September 2005.

  64. Jun Guo, Norikazu Takahashi and Tetsuo Nishi, “ A learning algorithm for improving the classification speed of support vector machines,” Proceedings of the 2005 European Conference on Circuit Theory and Design (ECCTD2005), August-September 2005.

  65. Norikazu Takahashi and Tetsuo Nishi, “On complete stability of three-cell CNNs with opposite-sign templates,” Proceedings of the 2005 IEEE International Symposium on Circuits and Systems (ISCAS2005), pp.4673-4676, May 2005.

  66. Jun Guo, Norikazu Takahashi and Tetsuo Nishi, “A learning algorithm for enhancing the generalization ability of support vector machines,” Proceedings of the 2005 IEEE International Symposium on Circuits and Systems (ISCAS2005), pp.3631-3634, May 2005.

  67. Tsuyoshi Yamakawa, Norikazu Takahashi and Tetsuo Nishi, “A design method of cellular neural networks for associative memories based on linear programming,” Proceedings of the 2004 International Symposium on Nonlinear Theory and its Applications (NOLTA2004), pp.641-644, November-December 2004.

  68. Masashi Kuranoshita, Norikazu Takahashi and Tetsuo Nishi, “An efficient decomposition learning method for support vector regression,” Proceedings of the 2004 International Symposium on Nonlinear Theory and its Applications (NOLTA2004), pp.705-708, November-December 2004.

  69. Jun Guo, Norikazu Takahashi and Tetsuo Nishi, “A learning method for robust support vector machines,” Proceedings of the 2004 International Symposium on Neural Networks (ISNN2004), pp.474-479, August 2004.

  70. Hajime Hara, Norikazu Takahashi and Tetsuo Nishi, “Necessary and sufficient conditions for one-dimensional discrete-time binary cellular neural network,” Proceedings of the 2004 IEEE International Midwest Symposium on Circuits and Systems (MWSCAS2004), vol.I, pp.389-392, July 2004.

  71. Makoto Nagayoshi, Norikazu Takahashi and Tetsuo Nishi, “On stable patterns realized by a class of one-dimensional two-layer CNNs,” Proceedings of the 2004 IEEE International Midwest Symposium on Circuits and Systems (MWSCAS2004), vol.I, pp.385-388, July 2004.

  72. Tetsuo Nishi, Hajime Hara and Norikazu Takahashi, “Necessary and sufficient conditions for one-dimensional discrete-time binary cellular neural network to be stable - No input case -,” Proceedings of the 8th IEEE International Workshop on Cellular Neural Networks and their Applications (CNNA2004), pp.453-458, July 2004.

  73. Hajime Hara, Tetsuo Nishi and Norikazu Takahashi, “Realization of limit cycles with length 8 or 4 by three-dimensional binary state equations,” Proceedings of the 2004 International Technical Conference on Circuits/Systems, Computers and Communications (ITC-CSCC2004), pp.7B2L-4-1-7B2L-4-4, July 2004

  74. Norikazu Takahashi and Tetsuo Nishi, “Global convergence analysis of decomposition methods for support vector machines,” Proceedings of the 2004 IEEE International Symposium on Circuits and Systems (ISCAS2004), vol.V, pp.728-731, May 2004.
    * An error was found in the proof of the main result. For correct result and its proof, please see Journal Paper 16.

  75. Jun Guo, Tetsuo Nishi and Norikazu Takahashi, “An analog circuit for solving a kind of constrained optimization problems,” Proceedings of the 2003 International Symposium on Intelligent Signal Processing and Communication Systems (ISPACS2003), pp.192-197, December 2003.

  76. Norikazu Takahashi and Tetsuo Nishi, “On termination of SMO algorithm for support vector machines,” Proceedings of the International Symposium on Information Science and Electrical Engineering 2003 (ISEE2003), pp.187-190, November 2003.

  77. Hajime Hara, Tetsuo Nishi and Norikazu Takahashi, “A consideration on the stability of the third-order discrete-time systems including signum function,” Proceedings of the International Symposium on Information Science and Electrical Engineering 2003 (ISEE2003), pp.22-25, November 2003.

  78. Hajime Hara, Tetsuo Nishi and Norikazu Takahashi, “Necessary and sufficient condition for the second-order discrete-time systems described by the signum function to be stable,” Proceedings of the 2003 International Technical Conference on Circuits, Systems, Computers and Communications (ITC-CSCC2003), pp.585-588, July 2003.

  79. Norikazu Takahashi and Tetsuo Nishi, “Effect of biases on the complete stability of planar dynamical systems related to CNNs,” Proceedings of the 2003 Workshop on Nonlinear Dynamics of Electronic Systems (NDES2003), pp.263-266, May 2003.

  80. Norikazu Takahashi and Tetsuo Nishi, “Necessary and sufficient condition for two-cell CNNs with space-invariant connections to be globally stable,” Proceedings of the 2002 International Symposium on Nonlinear Theory and its Applications (NOLTA2002), pp.611-614, October, 2002

  81. Ryoma Bise, Norikazu Takahashi and Tetsuo Nishi, “On the design method of cellular neural networks for associative memories based on generalized eigenvalue problem,” Proceedings of the 7th IEEE Workshop on Cellular Neural Networks and their Applications (CNNA2002), pp.515-522, July 2002.

  82. Tetsuo Nishi, Hidenori Sato and Norikazu Takahashi, “Necessary and sufficient conditions for one-dimensional discrete-time binary cellular neural networks with both A- and B-templates to be globally stable,” Proceedings of the 2002 IEEE International Symposium on Circuits and Systems (ISCAS2002), vol.1, pp.633-636, May 2002.

  83. Hidenori Sato, Tetsuo Nishi and Norikazu Takahashi, “One-dimensional discrete-time binary cellular neural networks with A- and B-templates,” Proceedings of the 2001 International Symposium on Nonlinear Theory and its Applications (NOLTA2001), vol.1, pp.51-54, October-November, 2001.

  84. Norikazu Takahashi and Tetsuo Nishi, “On the global stability of two-cell cellular neural networks with opposite-sign connections,” Proceedings of the 15th European Conference on Circuit Theory and Design (ECCTD2001), vol.3, pp.93-96, August 2001.

  85. Hidenori Sato, Tetsuo Nishi and Norikazu Takahashi, “Signal processing by one-dimensional discrete-time binary cellular neural networks with A- and B-template,” Proceedings of the 2001 International Technical Conference on Circuits/Systems, Computers and Communications (ITC-CSCC2001), vol.2, pp.1280-1283, July 2001.

  86. Masato Ogata, Tetsuo Nishi and Norikazu Takahashi, “A consideration on the asymptotic stability of DC operating points of transistor circuits,” Proceedings of the 2001 IEEJ International Analog VLSI Workshop, pp.173-177, May 2001.

  87. Norikazu Takahashi, “Generalization of two stability conditions for cellular neural networks,” Proceedings of the 2000 International Sympsium on Nonlinear Theory and its Applications (NOLTA2000), vol.2, pp.791-794, September 2000.

  88. Norikazu Takahashi, “Stability analysis of cellular neural networks with delay,” Proceedings of the 1999 International Symposium on Nonlinear Theory and its Applications (NOLTA'99), vol.1, pp.403-406, November-December 1999.

  89. Norikazu Takahashi and Tetsuo Nishi, “On the eigenvalue problem for the connection matrix of space-invariant cellular neural networks,” Proceedings of the 1998 International Symposium on Nonlinear Theory and its Applications (NOLTA'98), vol.3, pp.931-934, September 1998.

  90. Norikazu Takahashi, Tetsuo Nishi and Yoshitaka Sakamoto, “On the proof of Uesaka's conjecture for n=3,” Proceedings of the International Technical Conference on Circuits/Systems, Computers and Communications (ITC-CSCC'98), vol.2, pp.1085-1088, July 1998.

  91. Norikazu Takahashi and Leon O. Chua, “A proof of complete stability of non-symmetric CNNs by a convergence theorem of Gauss-Seidel method,” Proceedings of the 1997 International Symposium on Nonlinear Theory and its Applications (NOLTA'97), vol.2, pp.913-916, November-December 1997.

  92. Norikazu Takahashi and Tetsuo Nishi, “On the equilibrium points of Hopfield-type neural networks with the cyclic connection matrix,” Proceedings of the 1994 Symposium on Nonlinear Theory and its Applications (NOLTA'94), pp.287-290, October 1994.

  93. Tetsuo Nishi and Norikazu Takahashi, “On the realization of prescribed sets of equilibrium points of one-dimensional neural networks with tapered connecting coefficients,” Proceedings of the 1993 International Symposium on Nonlinear Theory and its Applications (NOLTA'93), pp.235-238, December 1993.

  94. Norikazu Takahashi and Tetsuo Nishi, “Equilibrium points of mutually coupled symmetrical neural networks,” Proceedings of the European Conference on Circuit Theory and Design (ECCTD'93), pp.1059-1064, September 1993.

  95. Norikazu Takahashi and Tetsuo Nishi, “Realization of certain sets of equilibrium points by a simple neural network,” Proceedings of the Joint Technical Conference on Circuits/Systems, Computers and Communications (JTC-CSCC'93), pp.792-796, July 1993.

Memoirs and Research Reports

  1. Hidenori Sato, Tetsuo Nishi and Norikazu Takahashi, “One-dimensional discrete-time binary cellular neural networks and some examples for signal processing,” Research Reports on Information Science and Electrical Engineering of Kyushu University, vol.7, no.2, pp.93-98, September 2002.

  2. Norikazu Takahashi and Tetsuo Nishi “The number of equilibrium points and their basins of attraction of neural networks with a kind of cyclic connection matrix,” Research Reports on Information Science and Electrical Engineering of Kyushu University, vol.1, no.1, pp.101-104, September 1996 (in Japanese).

  3. Norikazu Takahashi and Tetsuo Nishi, “Realization of equilibrium points by means of a completely symmetrical nonlinear circuit,” Memoirs of the Faculty of Engineering Kyushu University, vol.54, no.2, pp.141-160, June 1994.

Preprints

  1. Daiki Hirata and Norikazu Takahashi, “Ensemble learning in CNN augmented with fully connected subnetworks,” arXiv preprint arXiv:2003.08562, March 2020.