**Journal Papers:**- "Performance improvement of iterative multiuser detection for large sparsely-spread CDMA systems by spatial coupling," Keigo Takeuchi, Toshiyuki Tanaka, and Tsutomu Kawabata, IEEE Transactions on Information Theory, volume 61, number 4, pages 1768–1794, April 2015.
- "Source and channel polarization over finite fields and Reed-Solomon matrices," Ryuhei Mori and Toshiyuki Tanaka, IEEE Transactions on Information Theory, volume 60, number 5, pages 2720–2736, May 2015.
- "Statistical-mechanics analysis of Gaussian labeled-unlabeled classification problems," Toshiyuki Tanaka, Journal of Physics: Conference Series, volume 473, 012001 (8 pages), December 2013. (available online)
- "Bayesian classifier based on class-specific feature selection," Yusuke Tanaka, Naonori Ueda, and Toshiyuki Tanaka, IEICE Transactions on Information and Systems (Japanese edition), volume J96-D, number 11, pages 2755–2764, November 2013. (available online upon subscription)
- "On an achievable rate of large Rayleigh block-fading MIMO channels with no CSI," Keigo Takeuchi, Ralf R. Muller, M. Vekaperae, and Toshiyuki Tanaka, IEEE Transactions on Information Theory, volume 59, number 10, pages 6517–6541, October 2013. (available online upon subscription)
- "Rate-dependent analysis of the asymptotic behavior of channel polarization," S. Hamed Hassani, Ryuhei Mori, Toshiyuki Tanaka, and Rudiger Urbanke, IEEE Transactions on Information Theory, volume 59, number 4, pages 2267–2276, April 2013. (available online upon subscription)
- "A user's guide to compressed sensing for communications systems," Kazunori Hayashi, Masaaki Nagahara, and Toshiyuki Tanaka, IEICE Transactions on Communications, volume E96-B, number 3, pages 685–712, March 2013. (available online)
- "Effects of single-cycle structure on iterative decoding of low-density parity-check codes," Ryuhei Mori, Toshiyuki Tanaka, Kenta Kasai, and Koichi Sakaniwa, IEEE Transactions on Information Theory, volume 59, number 1, pages 238–253, January 2013. (available online upon subscription)
- "A phenomenological study on threshold improvement via spatial coupling," Keigo Takeuchi, Toshiyuki Tanaka, and Tsutomu Kawabata, IEICE Transactions on Fundamentals, volume E95-A, number 5, pages 974–977, May 2012.
- "Large-system analysis of joint channel and data estimation for MIMO DS-CDMA systems," Keigo Takeuchi, Mikko Vehkapera, Toshiyuki Tanaka, and Ralf R. Muller, IEEE Transactions on Information Theory, volume 58, number 3, pages 1385–1412, March 2012.
- "Improving classifier performance using data with different taxonomies," T. Iwata, T. Tanaka, T. Yamada, and N. Ueda, IEEE Trans. Knowledge & Data Eng., volume 23, number 11, pages 1668–1677, November 2011. (available online upon subscription)
- "Performance analysis of optimal channel estimation and multiuser detection in a randomly-spread CDMA channel," Keigo Takeuchi, Mikko Vehkapera, Toshiyuki Tanaka, and Ralf R. Muller, Journal of Systems Science and Complexity, vol. 23, no. 1, pages 22–34, Feb. 2010.
- "Optimization of sequences in CDMA systems: A statistical-mechanics approach," Koichiro Kitagawa and Toshiyuki Tanaka, Computer Networks, volume 54, number 6, pages 917–924, 2010. (available online)
- "Typical reconstruction limit of compressed sensing
based on
*L*_{p}-norm minimization," Yoshiyuki Kabashima, Tadashi Wadayama, and Toshiyuki Tanaka, Journal of Statistical Mechanics, L09003-1–12, September 2009; Erratum, ibid. E07001, 2012. (Preprint available as arXiv:0907.0914 [cs.IT]) - "Performance of polar codes with construction using density evolution," Ryuhei Mori and Toshiyuki Tanaka, IEEE Communications Letters, volule 13, number 7, pages 519–521, July 2009.
- "Model learning when distributions differ over time," T. Iwata, T. Tanaka, T. Yamada, and N. Ueda, IEICE Transactions on Information and Systems (Japanese edition), vol. J92-D, no. 3, pp. 361–370, Mar. 2009. (in japanese)
- "Re`class'ification of `quant'ified classical simulated annealing," Toshiyuki Tanaka, J. Phys.: Conf. Ser., vol. 143, pp. 012020-1–8, 2009.
- "A mean field theory of coded CDMA systems," T. Yano, T. Tanaka, and D. Saad, Journal of Physics A: Mathematical and Theoretical, volume 41, number 32, pages 324022-1–15, August 2008.
- "Mean field theory of communication—statistical-physics approach to wireless communications," T. Tanaka and K. Nakamura, Euro. Phys. J. B, vol. 64, nos. 3–4, pp. 625–631, Aug. 2008.
- "Asymptotic analysis of general multiuser detectors in MIMO DS-CDMA channels," K. Takeuchi, T. Tanaka, and T. Yano, IEEE Journal on Selected Areas in Communications, volume 26, number 3, pages 486–496, May 2008. (Preprint available as arXiv:0706.3170 [cs.IT])
- "Effect of quantization on CDMA multiuser detection," Kazutaka Nakamura and Toshiyuki Tanaka, IEICE Transactions on Fundamentals, volume J91-A, number 5, pages 550–556, 2008. (in japanese)
- "Statistical-mechanics-based analysis of multiuser MIMO channels with linear dispersion codes," Keigo Takeuchi and Toshiyuki Tanaka, J. Phys.: Conf. Ser., vol. 95, pp. 012008-1–11, Jan. 2008. (Pdf file available on the Journal WWW Server.)
- "Asymptotics of Harish-Chandra-Itzykson-Zuber integrals and free probability theory," Toshiyuki Tanaka, J. Phys.: Conf. Ser., vol. 95, pp. 012002-1–9, Jan. 2008. (Pdf file available on the Journal WWW Server.)
- "A study of joint channel parameter estimation in belief propagation-based CDMA multiuser detection," T. Yano, K. Nakamura, and T. Tanaka, IEICE Trans. Fundamentals, vol. J90-A, no. 11, pp. 861–869, Nov. 2007. (in japanese)
- "Statistical mechanical study of CDMA multiuser detectors — Analysis of RS and 1RSB solutions —," M. Yoshida, T. Uezu, T. Tanaka, and M. Okada, J. Phys. Soc. Jpn., vol. 76, no. 5, pp. 054003-1–10, May 2007. (Pdf file available on the Journal WWW Server.)
- "Spectral density of sparse sample covariance matrices," T. Nagao and T. Tanaka, J. Phys. A: Math. Gen., vol. 40, no. 19, pp. 4973–4987, May 2007. (Fill text (pdf) of the published version available on the Journal WWW Server. Subscription required for download.) (Preprint available as arXiv:cond-mat/0612584)
- "Moment problem in replica method," T. Tanaka, Interdisciplinary Information Sciences, vol. 13, no. 1, pp. 17–23, 2007. (Pdf file available on the Journal WWW Server.)
- "Approximate belief propagation, density evolution, and statistical neurodynamics for CDMA multiuser detection," T. Tanaka and M. Okada, IEEE Trans. Inform. Theory, vol. 51, no. 2, pp. 700–706, 2005.
- "Active control of fan noise in a free field using circular arrays of point sources," T. Aoki, T. Tanaka, and M. Taki, J. Acoust. Soc. Jpn., vol. 60, no. 11, pp. 639–645, 2004. (in japanese)
- "Iterative multiuser joint decoding: optimal power allocation and low-complexity implementation," G. Caire, R. Muller, and T. Tanaka, IEEE Trans. Inform. Theory, vol. 50, no. 9, pp. 1950–1973, Sep. 2004.
- "Stochastic reasoning, free energy and information geometry," S. Ikeda, T. Tanaka, and S. Amari, Neural Computation, vol. 16, no. 9, pp. 1779–1810, Sep. 2004. (Pdf file of the published version available on MIT Press WWW Server.)
- "Information geometry of turbo codes and low-density parity-check codes," S. Ikeda, T. Tanaka and S. Amari, IEEE Trans. Inform. Theory, vol. 50, no. 6, pp. 1097–1114, Jun. 2004. ( Pdf file of the published version available on this server.)
- "Improvement of multistage detector with partial interference cancellation," A. Mizutani, T. Tanaka and M. Okada, Trans. IEICE A, vol. J87-A, no. 5, pp. 661–671, May 2004. (in japanese)
- "Typical performance of regular low-density parity-check codes over general symmetric channels," T. Tanaka and D. Saad, J. Phys. A: Math. Gen., vol. 36, no. 43, pp. 11143–11157, Oct. 2003.
- "Active control of fan noise in a free field based on the spherical harmonic expansion," T. Aoki, T. Morishita, T. Tanaka, and M. Taki, J. Acoust. Soc. Jpn., vol. 59, no. 7, pp. 379–387, Jul. 2003. (in japanese)
- "A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors," T. Tanaka, IEEE Trans. Inform. Theory, vol. 48, no. 11, pp. 2888–2910, Nov. 2002. ( Pdf file of the published version available on this server.)
- "The behavior of same edge ratio in a small area – method to analyze land use agglomeration using grid data Part III –," T. Yoshikawa and T. Tanaka, Journal of Architecture, Planning and Environmental Engineering, No. 556, pp. 273–279, June 2002. (in japanese)
- "Information geometry of turbo decoding," S. Ikeda, T. Tanaka, and S. Amari, Trans. IEICE D-II, vol. J85-D-II, no. 5, pp. 758–765, May 2002. (in japanese) ( Full text (pdf) available on IEICE WWW server.)
- "SMEM algorithm is not fully compatible with maximum-likelihood framework," A. Minagawa, N. Tagawa, and T. Tanaka, Neural Computation, vol. 14, no. 6, pp. 1261–1266, 2002.
- "Detection of vanishing point sequence with temporal fluctuation," A. Minagawa, Y. Kobayashi, N. Tagawa, and T. Tanaka, Trans. IEICE D-II, vol. J85-D-II, no. 1, pp. 23–35, 2002. (in japanese) ( Full text (pdf) available on IEICE WWW server.)
- "Statistical mechanics of CDMA multiuser demodulation," T. Tanaka, Europhys. Lett., vol. 54, no. 4, pp. 540–546, May 2001. ( Abstract and full text (html/pdf/ps) available on IOP WWW server.)
- "Application of two-parameter dynamical replica theory to retrieval dynamics of associative memory with non-monotonic neurons," T. Tanaka, S. Kakiya, and M. Okada, J. Phys. A: Math. Gen., vol. 34, no. 13, pp. 2695–2712, Apr. 2001. (Full text (pdf) available on IOP WWW server.)
- "Active noise control system in a duct with partial feedback canceller," T. Aoki, T. Morishita, T. Tanaka, and M. Taki, IEICE Trans. Fundamentals, vol. E84-A, no. 2, pp. 400–405, Feb. 2001. ( Full text (pdf) available on IEICE WWW server.)
- "FDTD analysis of microwave hearing effect," Y. Watanabe, T. Tanaka, M. Taki, and S. Watanabe, IEEE Trans. Microwav. Theory Tech., vol. 48, no. 11, pp. 2126–2132, Nov. 2000.
- "Information geometry of mean field approximation," T. Tanaka, Neural Computation, vol. 12, no. 8, pp. 1951–1968, Aug. 2000.
- "Analysis of induced currents in a rat exposed to 50-Hz linearly and circularly polarized magnetic fields," K. Wake, T. Tanaka, and M. Taki, Bioelectromagnetics, vol. 21, issue 5, pp. 354–363, July 2000. ( Abstract available on Wiley WWW server.)
- "Mean-field approximation for multilayer feedforward stochastic networks," T. Tanaka, Trans. IEICE D-II, vol. J82-D-II, no. 12, pp. 2420–2422, Dec. 1999. (in japanese) ( Full text (pdf) available on IEICE WWW server.)
- "Mean field theory of Boltzmann machine learning," T. Tanaka, Phys. Rev. E, vol. 58, no. 2, pp. 2302–2310, Aug. 1998. ( Abstract and Full text (pdf) available on AIP WWW server.)
- "Estimation of 3-D shape and motion from optical flow based on depth model," N. Tagawa, T. Toriu, T. Endoh, T. Tanaka, and T. Moriya, Trans. IEICE D-II, vol. J81-D-II, no. 8, pp. 1727–1735, 1998. (in japanese) (Full text (pdf) available on IEICE WWW server.)
- "Induced current density distribution in a human head related to magnetophosphenes," K. Wake, T. Tanaka, M. Kawasumi, and M. Taki, Trans. IEE Japan, vol. 118-A, nos. 7/8, pp. 806–811, Jul./Aug., 1998. (in japanese)
- "On the macroscopic description of recurrent neural network dynamics," T. Tanaka and S. Osawa, J. Phys. A: Math. Gen., vol. 31, no. 18, pp. 4197–4202, 8 May 1998. (Full text (pdf) available on IOP WWW server.)
- "Theoretical study of mean-field Boltzmann machine learning by information geometry," T. Arai, T. Tanaka, and Y. Fujimori, Trans. IEICE A, vol. J81-A, no. 3, pp. 336–345, Mar. 1998. (in japanese) (Full text (pdf) available on IEICE WWW server.) (English translation is published in: Electronics and Communications in Japan (Part III: Fundamental Electronic Science), Scripta Technica, Inc., vol. 82, no. 8, pp. 30–39, Aug. 1999: Abstract available on Wiley WWW server.)
- "Analysis of positive Lyapunov exponents from random time series," T. Tanaka, K. Aihara, and M. Taki, Physica D: Nonlinear Phenomena, vol. 111, nos. 1–4, pp. 42–50, Jan. 1998. ( Abstract and Full text (pdf) available on Elsevier WWW server.)
- "Learning time of linear associative memory," T. Tanaka, H. Kuriyama, Y. Ochiai, and M. Taki, IEICE Trans. Fundamentals, vol. E80-A, no. 6, pp. 1150–1156, Jun. 1997. (Full text (pdf) available on IEICE WWW server.)
- "Fundamental study of MW effect on membrane permeability," K. Wake, T. Tanaka, and M. Taki, Trans. IEICE B-II, vol. J79-B-II, no. 10, pp. 702–704, Oct. 1996. (in japanese) (Full text (pdf) available on IEICE WWW server.)
- "Lyapunov exponents of random time series," T. Tanaka, K. Aihara, and M. Taki, Phys. Rev. E, vol. 54, no. 2, pp. 2122–2124, Aug. 1996. ( Abstract and Full text (pdf) available on PROLA - Physical Review Online Archive - server.)
- "Improvement of the performance of a tight-coupled ANC system in a duct using an optimized compensator in the feedback path," T. Morishita, T. Tanaka, M. Taki, and T. Mori, J. Acoust. Soc. Japan (J), vol. 52, no. 7, pp. 489–496, Jul. 1996. (in japanese)
- "Information geometry of mean field theory," T. Tanaka, IEICE Trans. Fundamentals, vol. E79-A, no. 5, pp. 709–715, May 1996. (Full text (pdf) available on IEICE WWW server.)
- "Adaptive active noise control in a duct using two reference sensors in consideration of the reflection at the outlet termination," M. Tsukuda, T. Tanaka, and M. Taki, J. Acoust. Soc. Japan (J), vol. 52, no. 2, pp. 118–124, Feb. 1996. (in japanese)
- "A method of stabilization of tight-coupled active noise control system in a duct," T. Morishita, M. Fukushima, T. Tanaka, M. Taki, and T. Mori, J. Acoust. Soc. Japan (J), vol. 51, no. 12, pp. 948–956, Dec. 1995. (in japanese)
- "Active control of noise including higher-order mode components in a duct based on modal decomposition and modal generation," T. Morishita, C. Yamaguchi, T. Tanaka, M. Taki, and T. Mori, J. Acoust. Soc. Japan (J), vol. 51, no. 4, pp. 282–290, Apr. 1995. (in japanese)
- "On evaluation of reference vector density for self-organizing feature map," T. Tanaka, IEICE Trans. Inf. & Syst., vol. E77-D, no. 4, pp. 402–408, Apr. 1994. (Full text (pdf) available on IEICE WWW server.)
- "Accessibility to monitors used in operating rooms," K. Sasaki, Y. Ogasawara, K. Igarashi, T. Moroe, A. Kasama, N. Nakamura, S. Okuno, K. Komatsu, T. Tanaka, N. Sukegawa, and M. Saito, Jpn. J. Clin. Monitoring, vol. 4, no. 1, pp. 57–64, 1993. (in japanese)
- "Quantitative properties of Kohonen's self-organizing maps as adaptive vector quantizers," T. Tanaka and M. Saito, Trans. IEICE D-II, vol. J75-D-II, no. 6, pp. 1085–1092, Jun. 1992. (in japanese) (Full text (pdf) available on IEICE WWW server.)

**International Conferences:**- "Performance degradation of AMP for small-sized problems," Arise Kuriya and Toshiyuki Tanaka, Proceedings of the 2015 IEEE International Symposium on Information Theory, Hong Kong, 2015.
- "Channel capacity and achievable rates of peak power limited AWGNC, and their applications to adaptive modulation and coding," Shiro Ikeda, Kazunori Hayashi, and Toshiyuki Tanaka, Proceedings of the 2014 International Symposium on Information Theory and its Applications, Pages 590–594, 2014.
- "To average or not to average: Trade-off in compressed sensing with noisy measurements," Kei Sano, Ryosuke Matsushita, and Toshiyuki Tanaka, Proceedings of the 2014 IEEE International Symposium on Information Theory, Hawaii, USA, pages 1316–1320, 2014.
- "Central approximation in statistical physics and information theory," Ryuhei Mori and Toshiyuki Tanaka, Proceedings of the 2012 IEEE International Symposium on Information Theory, Saint Petersburg, Russia, pages 1652–1656, 2012.
- "Critical compression ratio of iterative reweighted l1 minimization for compressed sensing," Ryosuke Matsushita and Toshiyuki Tanaka, Proceedings of the 2011 Information Theory Workshop, Paraty, Brazil, pages 568–572, 2011.
- "Average error exponent of undetected error probability of binary matrix ensembles," Kazushi Mimura, Tadashi Wadayama, Toshiyuki Tanaka, and Yoshiyuki Kabashima, Proceedings of the 2011 IEEE International Symposium on Information Theory, Boston, USA, pages 1387–1391, 2011.
- "Improvement of BP-based CDMA multiuser detection by spatial coupling," Keigo Takeuchi, Toshiyuki Tanaka, and Tsutomu Kawabata, Proceedings of the 2011 IEEE International Symposium on Information Theory, Boston, USA, pages 1489–1493, 2011.
- "Mutual information approximation via maximum likelihood estimation of density ratio," T. Suzuki, M. Sugiyama, and T. Tanaka, Proc. 2009 IEEE Int. Symp. Info. Theory, Seoul, Korea, pp. 463–467, 2009.
- "Practical signaling with vanishing pilot-energy for large noncoherent block-fading MIMO channels," K. Takeuchi. R. Muller, M. Vehkaperae, and T. Tanaka, Proc. 2009 IEEE Int. Symp. Info. Theory, Seoul, Korea, pp. 759–763, 2009.
- "Performance and construction of polar codes on symmetric binary-input memoryless channels," R. Mori and T. Tanaka, Proc. 2009 IEEE Int. Symp. Info. Theory, Seoul, Korea, pp. 1496–1500, 2009.
- "Finite-length analysis of irregular expurgated LDPC codes under finite number of iterations," R. Mori, T. Tanaka, K. Kasai, and K. Sakaniwa, Proc. 2009 IEEE Int. Symp. Info. Theory, Seoul, Korea, pp. 2497–2501, 2009.
- "Iterative channel and data estimation: Framework and analysis via replica method," M. Vehkaperae, K. Takeuchi, R. Mueller, and T. Tanaka, Proc. 2009 IEEE Int. Symp. Info. Theory, Seoul, Korea, pp. 2689–2693, 2009.
- "Replica analysis of performance loss due to separation of detection and decoding in CDMA channels," T. Tanaka, Proc. 2006 IEEE Int. Symp. Info. Theory, Seattle, USA, pp. 2368–2372, 2006.
- "Analysis of sparsely-spread CDMA via statistical mechanics," M. Yoshida and T. Tanaka, Proc. 2006 IEEE Int. Symp. Info. Theory, Seattle, USA, pp. 2378–2382, 2006.
- "Performance analysis of optimum multiuser detector under phase mismatch," T. Tanaka, Proc. 2004 IEEE Int. Symp. Info. Theory, Chicago, USA, p. 317, 2004.
- "A statistical-mechanical analysis of coded CDMA with regular LDPC codes," T. Tanaka and D. Saad, Proc. 2003 IEEE Int. Symp. Info. Theory, Yokohama, Japan, p. 444, Jun./Jul., 2003.
- "Information geometry of loopy BP," S. Ikeda, T. Tanaka, and S. Amari, Suppl. Proc. ICANN/ICONIP 2003, pp. 54–57, Istanbul, Turkey, Jun. 2003. (Full text - ps and pdf - available from Dr. Ikeda's WWW page.)
- "Density evolution and power profile optimization for iterative multiuser decoders based on individually optimum multiuser detectors," R. Mueller, G. Caire, and T. Tanaka, 40th Annual Allerton Conf. on Communication, Control, and Computing, Oct., 2002.
- "Information geometry of turbo codes," S. Ikeda, T. Tanaka, and S. Amari, Proc. 2002 IEEE International Symposium on Information Theory (ISIT 2002), Lausanne, Switzerland (ISBN0-7803-7501-7), p. 114, June-July, 2002.
- "Density evolution for multistage CDMA multiuser detector," T. Tanaka, Proc. 2002 IEEE International Symposium on Information Theory (ISIT 2002), Lausanne, Switzerland (ISBN0-7803-7501-7), p. 23, June-July, 2002.
- "Information geometrical framework for analyzing belief propagation decoder," S. Ikeda, T. Tanaka, and S. Amari, 15th Annual Conference on Neural Information Processing Systems (NIPS*2001), Vancouver, Canada, Dec. 2001; in Thomas G. Dietterich et al. (eds.), Advances in Neural Information Processing Systems, 14, pp. 407–414, The MIT Press, 2002. (Full text - ps and pdf - available from Dr. Ikeda's WWW page.)
- "Information-geometrical significance of sparsity in Gallager code," T. Tanaka, S. Ikeda, and S. Amari, 15th Annual Conference on Neural Information Processing Systems (NIPS*2001), Vancouver, Canada, Dec. 2001; in Thomas G. Dietterich et al. (eds.), Advances in Neural Information Processing Systems, 14, pp. 527–534, The MIT Press, 2002.
- "Belief propagation and turbo code: information geometrical view," S. Ikeda, T. Tanaka, and S. Amari, Eighth Int. Conf. Neural Information Processing (ICONIP) 2001, Shanghai, China, Nov. 2001. (Full text -- ps and pdf -- available from Dr. Ikeda's WWW page.)
- "Performance analysis of neural CDMA multiuser detector," T. Tanaka, Proc. Int. J. Conf. Neural Networks (IJCNN) 2001, Washington D.C., USA, vol. 4 of 4, pp. 2832–2837, July, 2001.
- "Average-case analysis of multiuser detectors," T. Tanaka, Proc. 2001 IEEE International Symposium on Information Theory (ISIT 2001), Washington D.C., USA (ISBN0-7803-7123-2), p. 287, June, 2001. (Full text -- ps and pdf -- available on this server.)
- "Analysis of bit error probability of direct-sequence CDMA multiuser demodulators," T. Tanaka, 14th Annual Conference on Neural Information Processing Systems (NIPS*2000), Denver, USA, Nov./Dec. 2000; in T. K. Leen et al. (eds.), Advances in Neural Information Processing Systems, vol. 13, The MIT Press, pp. 315–321, 2001. (Full text -- ps and pdf -- available on this server.)
- "Capacity analysis of bidirectional associative memory," T. Tanaka, S. Kakiya, and Y. Kabashima, Proc. Seventh Int. Conf. Neural Information Processing (ICONIP) 2000, Taejon, Korea, vol. 2 of 2, pp. 779–784, Nov. 2000. (Full text -- ps and pdf -- available on this server.)
- "A formulation of mean-field approximation for layered feedforward stochastic networks," T. Tanaka, Proc. Sixth Int. Conf. Neural Information Processing (ICONIP) '99 Perth (ISBN0-7803-5871-6), vol. 2 of 3, pp. 544–549, Nov. 1999. (Full text -- ps and pdf -- available on this server.)
- "Exploration of mean-field approximation for feed-forward networks," T. Tanaka, Proc. International Joint Conference on Neural Networks (IJCNN) '99, Washington DC, USA (ISBN0-7803-5529-6), vol. 1 of 6, pp. 506–509, July, 1999. (Full text -- ps and pdf -- available on this server.)
- "Geometrical view on the effectiveness of naive mean-field approximation to optimization problems," T. Tanaka, Proc. International Workshop on Soft Computing in Industry (IWSCI) '99, Muroran, Hokkaido, Japan (ISBN4-9900489-1-1), pp. 104–108, June, 1999. (Full text?\ps and pdf?\ available on this server.)
- "A theory of mean field approximation," T. Tanaka, 12th Annual Conference on Neural Information Processing Systems (NIPS*98), Denver, Nov./Dec. 1998; in M. S. Kearns et al. (eds.), Advances in Neural Information Processing Systems, vol. 11, The MIT Press, pp. 351–357, 1999. (Full text?\ps and pdf?\available on this server.)
- "Estimation of third-order correlations within mean field approximation," T. Tanaka, In S. Usui and T. Omori (Eds.), Proc. Fifth Int. Conf. Neural Information Processing, '98 Kitakyushu, vol. 1 of 3, pp. 554–557, Oct. 1998. (Full text?\ps and pdf?\ available on this server.)
- "Learning time curves of linear associative memories," T. Tanaka, H. Kuriyama, and M. Taki, Proc. Int. Conf. Neural Information Processing, '95 Beijing, vol. 1 of 2, pp. 405–408, Oct./Nov. 1995.
- "Formation of orientation selectivity in simple feedforward network: an analytic framework," T. Tanaka and M. Taki, Proc. Int. Conf. Neural Information Processing, '94 Seoul, vol. 1 of 3, pp. 327–332, Oct. 1994.

**Review Articles:**- "Probabilistic information processing in mobile communication," T. Tanaka, J. Soc. Instrument & Control Eng., vol. 42, no. 8, pp. 643–648, Aug. 2003. (in japanese)
- "Interesting link between mobile telecommunication and spin glasses," T. Tanaka, BUTSURI (the bulletin of the Physical Society of Japan), vol. 56, no. 9, pp. 660–666, Sept. 2001. (in japanese)
- "Statistical mechanics and information processing," Y. Kabashima and T. Tanaka, J. Inst. Electron. Info. & Comm. Eng., vol. 83, no. 8, pp. 630–636, Aug. 2000. (in japanese)

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TANAKA Toshiyuki / Grad. Sch. Info., Kyoto Univ. / tt [atmark] i.kyoto-u.ac.jp