Applications of probabilistic models to information processing, e.g. Bayesian image analysis, probabilistic inference and so on. (Project Webpage, Summary)
Design of probabilistic and iterative algorithms for massive information prpcessing, e.g. loopy belief propagation and so on. (Project Webpage, Summary)
Design of massive information processing algorithms by means of quantized probabilisic models.
Institute of Electronics, Information and Communication Ebgineering (IEICE), Tohoku Branch, General Affair Secretary (April 2001 - March 2003)
The Transactions on the Institute of Electronics, Information and Communication Ebgineering D (IEICE Transactions D), Special Issue ``Information-Based Induction Sciences'', Editor (July 2001 - March 2002).
Muneki Yasuda, Shun Kataoka and Kazuyuki Tanaka: Computer Vision and Image Processing 3 (Edited by Yasusi Yagi and Hideo Saito): Chapter 6. Stochastic Image Processing, pp.137-179, Advanced Communication Media CO., Ltd., December 2010 (in Japanese).
Kazuyuki Tanaka: Statistical-Mechancal Method in Image Restoration, Butsuri, Vol.54, No.1 (January 1999) pp.25-33 (Published by The Physical Society of Japan, in Japanese).
Kazuyuki Tanaka and Yoshiyuki Kabashima: Large-Scale Statistical Model and Information Processing ---Science of Material and Art of Information Processing,Journal of the Society of Instrument and Control Engineerings, Vol.42, No.8 (August 2003), pp.622-625 (in Japanese).
Kazuyuki Tanaka: Probabilistic Image Processing Algorithm by means of Statistical Mechanical Method ---Belief Propagation and Statistical Mechanics, Journal of the Society of Instrument and Control Engineerings, Vol.42, No.8 (August 2003), pp.631-636 (in Japanese).
Jun Ohkubo and Kazuyuki Tanaka: Trend Keywords: Scale Free Networks by Jun Ohkubo and Kazuyuki Tanaka, IEICE Information and Syatems Society Journal, Vol.11, No.1 (July 2006), pp.18-19 (in Japanese).
Muneki Yasuda and Kazuyuki Tanaka: Probabilistic Image Processing Filters, Systems, Control and Information, Vol.53, No.8 (August 2009), pp.56-57 (in Japanese).
Kazuyuki Tanaka: Mathematical Structures of Belief Propagation Algorithms in Probabilistic Information Processing, Tutorial Talk in Multimedia Processing Laboratory, Department of Computer Science, National Tsin Hua University, Taiwai, 24 November, 2011 (Presentation Slide: PPT, PDF)
Kazuyuki Tanaka: Bayesian image modeling and phase transition in generalized sparse Markov random fields and loopy belief propagation, Department of Physics, University of Roma La Sapienza, Roma, Italy (16 September, 2013) (Presentation Slides: PPTX, PDF).
Satellite Meeting of STATPHYS 22 Statistical Physics of Disordered Systems and Its Applications (SPDSA2004) (Organized by Hidetoshi Nishimori, Masuo Suzuki, Hajime Takayama, Yutaka Okabe, Tsuyoshi Horiguchi, Kazuyuki Tanaka, Yoshiyuki Kabashima and Toshiyuki Tanaka), July 12-15, 2004, Hayama, Japan.
Tsuyoshi Horiguchi, Kazuyuki Tanaka and Tohru Morita: Coherent-Anomaly Method for the Wave-Number Dependence of the Susceptibility, Journal of The Physical Society of Japan, Vol.59, No.11 (November 1990), pp.4196-4197 (DOI: https://doi.org/10.1143/JPSJ.59.4196).
Kazuyuki Tanaka, Tohru Morita and Kazuo Hiroike: Spin Pair Correlation Function of the Ising Model on the Brickwork Lattice with Second Neighbor Interactions, Physica A: Statistical Mechanics and its Applications, Vol.171, No.2 (February 1991), pp.350-373 (DOI: https://doi.org/10.1016/0378-4371(91)90283-I).
Kazuyuki Tanaka, Tsuyoshi Horiguchi and Tohru Morita: Coherent-Anomaly Analysis with Cluster Variation Method for Spin-Pair Correlation Function of Ising Model on Square Lattice, Journal of The Physical Society of Japan, Vol.60, No.8 (August 1991), pp.2576-2587 (DOI: https://doi.org/10.1143/JPSJ.60.2576).
Tsuyoshi Horiguchi, Kazuyuki Tanaka and Tohru Morita: Low-Temperature Behavior of Antiferromagnetic Ising Model on Triangular Lattice, Journal of The Physical Society of Japan, Vol.61, No.1 (January 1992), pp.64-69 (DOI: https://doi.org/10.1143/JPSJ.61.64.
Kazuyuki Tanaka and Tohru Morita: Free Energy for Layered Free Fermion Models, Journal of The Physical Society of Japan, Vol.61, No.1 (January 1992) pp.92-101 (DOI: https://doi.org/10.1143/JPSJ.61.92.
Kazuyuki Tanaka, Tsuyoshi Horiguchi and Tohru Morita: Critical Indices for the Two-Dimensional Ising Model with Nearest-Neighbor and Next-Nearest-Neighbor Interactions, Physics Letters A, Vol.165, No.3 (May 1992), pp.266-270 (DOI: https://doi.org/10.1016/0375-9601(92)90048-Q).
Kazuyuki Tanaka and Tohru Morita: Asymptotic Behavior of Spin-Pair Correlation Function of Ising Model on Checkerboard Lattice, Progress of Theoretical Physics, Vol.88, No.5 (November 1992), pp.865-880 (DOI: https://doi.org/10.1143/ptp/88.5.865).
Kazuyuki Tanaka, Tsuyoshi Horiguchi and Tohru Morita: Critical Indices for the Two-Dimensional Ising Model with Nearest-Neighbor and Next-Nearest-Neighbor Interactions. II. Strip Cluster Approximation, Physica A: Statistical Mechanics and its Applications, Vol.192, No.4 (February 1993), pp.647-664 (DOI: https://doi.org/10.1016/0378-4371(93)90114-J).
Kazuyuki Tanaka and Tohru Morita: Asymptotic Behavior of Spin-Pair Correlation Function of Ising Model on Generalized Kagome Lattice, Journal of the Physical Society of Japan, Vol.62, No.3 (March 1993), pp.868-872 (DOI: https://doi.org/10.1143/JPSJ.62.868).
Tohru Morita and Kazuyuki Tanaka: Diagrammatical Techniques for Two-Dimensional Ising models. III. Ising Model to Vertex Model, Journal of the Physical Society of Japan, Vol.62, No.3 (March 1993) pp.873-879 (DOI: https://doi.org/10.1143/JPSJ.61.470).
Tohru Morita and Kazuyuki Tanaka: Generalized Heisenberg Model of Spin S Greater than 1/2 Equivalent to that of Spin 1/2, Journal of the Physical Society of Japan, Vol.62, No.11 (November 1993) pp.3771-3773 (DOI: https://doi.org/10.1143/JPSJ.62.3771).
Kazuyuki Tanaka, Tsuyoshi Horiguchi and Tohru Morita: Coherent-Anomaly Analysis with Cluster Variation Method for Two-dimensional Ising Model with Nearest-Neighbor and Next-Nearest-Neighbor Interactions, Progress of Theoretical Physics Supplement, No.115 (May 1994) pp.221-235 (DOI: https://doi.org/10.1143/PTPS.115.221.
Tohru Morita and Kazuyuki Tanaka: Generalized t-J Model with General Half-odd-integral Spin S, Physics Letters A, Vol.188, No.1 (May 1994), pp.101-105 (DOI: https://doi.org/10.1016/0375-9601(94)90125-2).
Kazuyuki Tanaka, Yositake Takane, Hiromichi Ebisawa and Tohru Morita: Application of Cluster Variation Method to Three-Dimensional t-J Model, Journal of the Physical Society of Japan, Vol.63, No.8 (August 1994) pp.2909-2918 (DOI: https://doi.org/10.1143/JPSJ.63.2909.
Tohru Morita and Kazuyuki Tanaka: Determination of Parameters in an Image Recovery by Statistical-Mechanical Means, Physica A, Vol.223, No.1-2 (January 1996), pp.244-262.
Kazuyuki Tanaka: Theoretical Study of Hyperparameter Estimation by Maximization of Marginal Likelihood in Image Restoration by means of Cluster Variation Method, IEICE Transactions (A), Vol.J83-A, No.10 (October 2000), pp.1148-1160 (in Japanese); translated in Electronics and Communications in Japan, Part 3: Fundamental Electronic Science, Vol.85, No.7 (July 2002) pp.50-62 (https://doi.org/10.1002/ecjc.1107) (in English).
Jun-ichi Inoue and Kazuyuki Tanaka: Dynamics of the Maximum Marginal Likelihood Hyperparameter Estimation in Image Restoration: Gradient descent versus Expectation and Maximization Algorithm, Physical Review E, Vol. 65, No.1 (January 2002), Article ID. 016125, pp.1-11.
Kazuyuki Tanaka, Norihiro Hoshi and Tsuyoshi Horiguchi: Color Image Compression Algorithm Using Self-Organizing Feature Map, Interdisciplinary Information Sciences, Vol.9, No.2 (Janunary 2003) pp.201-208.
Jun-ichi Inoue and Kazuyuki Tanaka: Mean Field Theory of EM Algorithm for Bayesian Gray Scale Image Restoration, Journal of Physics A: Mathematical and General, Vol.36, No.43 (October 2003), pp.10997-11010.
Fan Chen, Kazuyuki Tanaka and Tsuyoshi Horiguchi: Image Segmentation Based on Bethe Approximation for Gaussian Mixture Model, Interdisciplinary Information Sciences, Vol.11, No.1 (March 2005), pp.17-29.
Masayuki Ohzeki, Chako Takahashi, Shuntaro Okada, Masayoshi Terabe, Shinichiro Taguchi and Kazuyuki Tanaka: Quantum annealing: next-generation computation and how to implement it when information is missing, Nonlinear Theory and Its Applications, IEICE, Vol.9, No.4 (October 2018), pp.392-405 (DOI: 10.1587/nolta.9.392).
Chako Takahashi, Muneki Yasuda and Kazuyuki Tanaka:
Adaptive Thouless-Anderson-Palmer equation for higher-order Markov random fields,
Journal of the Physical Society of Japan, Vol.89, No.6(June 2020), Article ID.064007 (9 pages) (DOI: https://doi.org/10.7566/JPSJ.89.064007).
Ryoji Miyazaki, Yuta Kudo, Masayuki Ohzeki and Kazuyuki Tanaka: Simple relation between frustration and transition points in diluted spin glasses
Physical Review E, Vol.102, No.1 (July 2020), Article ID.012135 (7 pages) (DOI: https://doi.org/10.1103/PhysRevE.102.012135).
Mitsuru Urushibata, Masayuki Ohzeki and Kazuyuki Tanaka: Comparing the Effects of Boltzmann Machines as Associative Memory in Generative Adversarial Networks between Classical and Quantum Samplings,
Journal of the Physical Society of Japan, Vol.91, No.7 (July 2022), Article ID.074008 (6 pages) (DOI: https://doi.org/10.7566/JPSJ.91.074008
Renichiro Haba, Masayuki Ohzeki and Kazuyuki Tanaka: Travel time optimization on multi-AGV routing by reverse annealing, Scientific Reports, Vol.12 (October 2022), Article ID.17753 (9 pages) (DOI: https://doi.org/10.1038/s41598-022-22704-0).
Kazuyuki Tanaka: Nishimori Line for General Spin Random-Bond Ising Systems on Honeycomb Lattice, Journal of the Physical Society of Japan, Vol.91, No.11, Article ID.115003 (November 2022) (2 pages) (DOI: https://doi.org/10.7566/JPSJ.91.115003)
Proceedings of Internatinal Workshop
Kazuyuki Tanaka, Yositake Takane, Hiromichi Ebisawa and Tohru Morita: Three-Dimensional t-J Model and Cluster Variation Method, Physica B: Condensed Matter, Vol.194-196, Part 1 (February 1994), pp.481-482. (Proceedings of XX International Conference on Low-Temperature Physics, August 4-11, 1993, Oregon University, USA).
Kazuyuki Tanaka, Hiromichi Ebisawa and Tohru Morita: Cluster Variation Method for Two-Dimensional Hubbard and t-J Models.
Physica C, Vol.235-240, Part 4 (December 1994), pp.2187-2188 (Proceedings of Conference, Materials & Mechanisms of Superconductivity High-Temperature Superconductors IV (MMS-HTSC IV)).
Kazuyuki Tanaka and Tohru Morita: Application of the Cluster Variation Method to Three-Dimensional t-J Model II, Journal of the Korean Physical Society (Supplementary Issue, Proceedings of 1994 Workshop on Statistical Physics), Vol.28 (May 1995), pp.S373-S377 (September 29-30, 1994, Korea University, Korea).
Tohru Morita and Kazuyuki Tanaka: Generalized Heisenberg Model of Spin S Greater Than 1/2 Equivalent to Those of Spin 1/2 or 1.Journal of the Korean Physical Society (Supplementary Issue, Proceedings of 1994 Workshop on Statistical Physics), Vol.28 (May 1995) pp.S378-S383 (September 29-30, 1994, Korea University, Korea).
Kazuyuki Tanaka and Tohru Morita: Correlated Random Field Ising Model and Image Restoration Problem, edited by M. Suzuki and N. Kawashima, pp.150-153 (1996, World Scientific Publishing Corporation Press) (Proceedings of International Symposium on Coherent Approaches to Fluctuations, July 17-20, 1995, Kyoto).
Kazuyuki Tanaka and Tohru Morita: Statistical-mechanical Study of the Image Restoration based on the Markov Random Field Model,Proceedings of International Workshop on Soft Computing in Industory, pp.78-83 (1996, Muroran Institute of Technology Press) (April 27-28, 1996, Muroran, Japan).
Kazuyuki Tanaka: Approximate Optimization Algorithms in Markov Random Field Model based on Statistical-Mechanical Technique, Proceedings of International Workshop on Soft Computing in Industry'99, pp.165-170 (1999, Muroran Institute of Technology Press) (June 16-18, 1999, Muroran, Japan).
Kazuyuki Tanaka: Probabilistic Computational Method in Image Restoration Based on Statistical-Mechanical Techniques, edited by Y. Suzuki, S. Ovaska, T. Furuhashi, R. Roy and Y. Dote, Soft Computing in Industrial Applications, pp.401-414 (2000, Springer-Verlag Press) (Proceedings of 4th On-line World Conference on Soft Computing in Industrial Applications, September, 1999).
Kazuyuki Tanaka and D. M. Titterington: Probabilistic Image Processing Based on the Q-Ising Model by Means of the Mean-Field Method and Loopy Belief Propagation, Proceedings of 17th International Conference on Pattern Recognition (ICPR'04), Vol.2 (August 23-26, 2004, Combridge, UK), pp.40-43 (2004, IEEE Computer Society Press) (Presentation Slide: Powerpoint).
Kazuyuki Tanaka and D. M. Titterington: First-Order Phase Transition and Bayesian Image Processing by Loopy Belief Propagation, Satellite Meeting of STATPHYS 22 Statistical Physics of Disordered Systems and Its Applications, (July 12-15, 2004, Hayama, Japan), Progress of Theoretical Physics, Supplement, No.157 (April 2005), pp.288-291 (Presentation Slide: Powerpoint).
Jun-ichi Inoue and Kazuyuki Tanaka: Dynamics and Its Stability of Boltzmann-Machine Learning Algorithm for Gray Scale Image Restoration, Proceedings of 3rd International Symposium on Slow Dynamics in Complex Systems (edited by M. Tokuyama and I. Oppenheim, November 3-8, 2003, Sendai, Japan), pp.731-734 (American Institute of Physics Press).
Muneki Yasuda, Shun Kataoka, Yuji Waizumi and Kazuyuki Tanaka: Composite Likelihood Estimation for Restricted Boltzmann Machines, 21st International Conference on Pattern Recognition (November 11-15, 2012, Tsukuba, Japan), ISBN:978-4-9906441-1-6, pp.2234-2237.
Shun Kataoka, Takuto Kobayashi, Muneki Yasuda and Kazuyuki Tanaka: Community Detection based on Markov Random Field using Node Attributes, Proceedings of 2014 International Conference on Computational Intelligence for Modelling, Control & Automation Intelligent Agents, Web Technologies & Internet Commerce Innovation in Software Engineering (CIMCA-IAWTIC'14), CD-ROM, (Online Conference), pp.38-43, 2014.