(Japanese/English)
Research Activities


Applications of Operator Theory and Hilbert Space, Signal Processing (Tanaka, Nakamura)

Overview
Images and acoustical signals can be regarded as functions defined on two-dimensional or 1-dimensional space. 'Hilbert Space Theory' and "Operator Theory' are mathematical tools of analyses for the infinite or finite dimensional spaces consist of such functions. We are tackling problems such as 'Digital Image Processing' and 'Acoustical Signal Processings' with making full use of these mathematical tools.
Publications

Reviewed Papers
  1. JZ. Tian, A. Tanaka, D. Gao, ZH. Liu, QW. Hou, XZ. Chen, "Characterization of the Blast Furnace Burden Surface: Experimental Measurement and Roughness Statistics", ISIJ International, Vol.63, Issue 7, pp.1217-1225, 2023.
  2. Takuma Mitamura, Akira Tanaka, "Minimum upper bound of the Cayley transform of an orthogonal matrix multiplied by signed permutation matrices", Linear Algebra and Its Applications, Vol.659, pp.24-32, 2023.
  3. Takuma Mitamura, Akira Tanaka, "Properties of The Set of Orthogonal Matrices Obtained as The Cayley Transform of Skew-Symmetric Matrices", IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.J105-A, No.11, pp.125-135, Nov. 2022. (in Japanese)
  4. M. Nakamura, H. Hashizume, and M. Sugimoto, "Short-Time Spot Communication Using COTS Stereo Speaker", IEEE Sensors Journal, Vol.22, No.6, pp.5001-5010, Mar. 2022.
  5. M. Nakamura, H. Hashizume, and M. Sugimoto, "Simultaneous Localization and Communication Method Using Short-Time and Narrow-Band Dual-Carrier Acoustic Signals", Vol.22, No.6, pp.5163-5172, Mar. 2022.
  6. Mariko Tai, Mineichi Kudo, Akira Tanaka, Hideyuki Imai, Keigo Kimura, "Kernelized Supervised Laplacian Eigenmap for Visualization and Classification of Multi-Label Data", Pattern Recognition,　2021, 108399, ISSN 0031-3203, https://doi.org/10.1016/j.patcog.2021.108399.
  7. A. Tanaka, M. Nakamura, H. Imai, "Kernel-Based Regressors Equivalent to Stochastic Affine Estimators", IEICE Transactions on Information and Systems, Vol.E105-D, No.1, pp.116-122, Jan. 2022.
  8. H. Murakami, T. Suzaki, M. Nakamura, H. Hashizume and M. Sugimoto, "Five Degrees-of-Freedom Pose-Estimation Method for Smartphones Using a Single Acoustic Anchor", IEEE Sensors Journal, vol. 21, no. 6, pp. 8030-8044, Mar. 2021.
  9. J. Tian, A. Tanaka, Y. Meng, Q. Hou, and X. Chen, "Tracking the Burden Surface Radial Profile of a Blast Furnace by a B-mode Mechanical Swing Radar System", ISIJ International, Vol.60, No.2, pp.297-307, 2020.
  10. A. Tanaka and H. Imai, "A Fast Cross-Validation Algorithm for Kernel Ridge Regression by Eigenvalue Decomposition", IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E102-A, No.9, pp.1317-1320, Sep. 2019.
  11. J. Tian, A. Tanaka, Q. Hou, and X. Chen, "Radar detection-based modeling in a blast furnace: a prediction model of burden surface descent speed", Metals, Vol.9, No.5, 23 pages, 2019.
  12. T. Ogawa, S. Takahashi, N. Wada, A. Tanaka, and M. Haseyama, "Binary Sparse Representation Based on Arbitrary Quality Metrics and Its Applications", IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E101-A, No.11, pp.1776-1785, Nov. 2018.
  13. J. Tian, A. Tanaka, Q. Hou, and X. Chen, "Radar Detection-based Modeling in a Blast Furnace: a Prediction Model of Burden Surface Shape after Charging", ISIJ International, Vol.58, No.11, pp.1999-2008, 2018.
  14. Takahiro Ogawa, Akira Tanaka, Miki Haseyama, “Wiener-based Inpainting Quality Prediction,” IEICE Transactions on Information and Systems, Vol.E100-D, no.10, pp.2614-2626, Oct. 2017.
  15. Katsuya Kohno, Akira Tanaka, "Image Demosaicing by Block-Based Linear Regression", IEICE Transactions on Information and Systems (Japanese Edition), Vol.J100-D, No.5, pp.605-612, May 2017.
  16. A. Tanaka, H. Imai, "Theoretical Analyses on 2-Norm-Based Multiple Kernel Regressors", IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E100-A, No.3, pp.877-887, Mar. 2017.
  17. A. Tanaka, T. Kagiya, T. Miyamatsu, K. Namie, T. Okuyama, "Digital Image Restoration of Faded Color Films Based on Polynomial Approximation", IEICE Transactions on Information and Systems (Japanese Edition), Vol.J99-D, No.3, pp.367-376, Mar. 2016.
  18. K. Takamiya and A. Tanaka, "Computational complexity in the design of voting rules", Theory and Decision, Vol.80, No.1, pp.33-41, Jan. 2016.
  19. A. Tanaka, H, Takebayashi, I. Takigawa, H. Imai, and M. Kudo, "Ensemble and Multiple Kernel Regressors: Which Is Better?", IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E98-A, No.11, pp.2315-2324, Nov. 2015.
  20. A. Tanaka and H. Imai, "Parametric Wiener Filter with Linear Constraints for Unknown Target Signals", IEICE Transactions on Fundamentals, Vol.E97-A, No.1, pp.322-330, Jan. 2014.
  21. A. Tanaka and K. Kohno, "Multi-frame Image Denoising Based on Minimum Noise Variance Convex Combination with Difference-Based Noise Variance Estimation", IEICE Transactions on Fundamentals, Vol.E96-A, No.10, pp.2066-2070, Oct. 2013.
  22. A. Tanaka, T. Ogawa, M. Haseyama, M. Miyakoshi, "Analyses on Interpolation Accuracy of Eigenspace-BPLP", IEICE Transactions on Fundamentals, Vol.J94-A, No.2, pp.116-126, Feb.2011.
  23. A. Tanaka, H. Imai, and M. Miyakoshi, "Kernel-Induced Sampling Theorem", IEEE Transactions on Signal Processing, Vol.58, No.7, pp.3569-3577, July 1010.
  24. A. Tanaka, H. Imai, M. Kudo, and M. Miyakoshi, "Optimal Kernel in a Class of Kernels with an Invariant Metric", Lecture Notes in Computer Science, Structural, Syntactical and Statistical Pattern Recognition (LNCS 5342), pp.530-539, 2008.
  25. A. Tanaka and M. Miyakoshi, "Fast Parameter Selection Algorithm for Linear Parametric Filters", IEICE Transactions on Fundamentals, Vol.E90-A, No.12, pp.2952-2956, Dec. 2007
  26. A. Tanaka, H. Imai, M. Kudo, and M. Miyakoshi, "Integrated Kernels and Their Properties", Pattern Recognition, Vol.40, pp.2930-2938, 2007
  27. A. Tanaka, H. Imai, and M. Miyakoshi, "A Unified Framework of Subspace Identification for D.O.A. Estimation", IEICE Transactions on Fundamentals, Vol.E90-A, No.2, pp.419-428, Feb., 2007.
  28. A. Tanaka, N. Otani, and M. Miyakoshi, "Regularized Inverse Filter Design for Sound Reproduction Systems", IEICE Transaction on Fundamentals, Vol.J87-A, No.11, pp.1466-1467, Nov. 2004.
  29. A. Tanaka and H. Imai, and M. Miyakoshi, "On Formulations and Solutions in Linear Image Restoration Problems", IEICE Transaction on Fundamentals, Vol.E87-A, No.8, pp.2144-2151, Aug., 2004.
  30. A. Tanaka, H. Imai, and M. Miyakoshi,"Image Restoration in Singular Observation Processes Based on Complementary Space Component Estimation", IEICE Transaction on Information and Systems, Vol.J86-D-II, No.12, pp.1745-1755, Dec., 2003.
  31. A. Tanaka, H. Imai, and M. Miyakoshi, "Image Restoration by the Family of Signal Adaptive Parametric Projection Filters", Electronics and Communications in Japan, Part 3, Vol.86, No.3, pp.77-86, 2003.
  32. A. Tanaka, H. Imai, and M. Miyakoshi, "Image Restoration by the Family of M-N-Norm Parametric Projection Filters",Electronics and Communications in Japan, Part 3, Vol.85, No.11, pp.9-17, 2002.
  33. A. Tanaka, H. Imai, and M. Miyakoshi, "Choosing the Parameter of Regularized MP-Inverses by Modified SIC in Image Restoration Problems", International Journal of Computing Anticipatory Systems, Vol.12, pp.166-178, 2002.
  34. A. Tanaka, H. Imai, M. Miyakoshi, "Separable Kernel Expression of Regularized MP-Inverse for Separable Kernel Operators", IEICE Transactions on Fundamentals (Japanese Edition), Vol.J85-A, No.6, pp.730-734, Jun., 2002.
  35. A. Tanaka and H. Imai, and M. Miyakoshi,"Choosing the Parameter of Image Restoration Filters by Modified Subspace Information Criterion", IEICE Transaction on Fundamentals, Vol.E85-A, No.5, pp.1104-1110, May, 2002.
  36. A. Tanaka and M. Miyakoshi, "Image Restoration by Multiscale Spatial Adaptive Regularization", International Journal of Computing Anticipatory Systems, Vol.6, pp.341-353, 2000.
  37. A. Tanaka, H. Imai, and M. Miyakoshi, "Regularization of the Family of Parametric Projection Filters Based on th Norm Constraint", IEICE Transactions on Fundamentals (Japanese Edition), Vol.J83-A, No.6, pp.812-820, Jun., 2000.
  38. A. Tanaka and M. Miyakoshi, "Image Restoration by Parametric Projection Filter with Multiscale Adaptive Weights", IEICE Transactions on Information and Systems (Japanese Edition), Vol.J83-D-II, No.2, pp.662-670, Feb., 2000.
  39. H.Imai, A.Tanaka, and M.Miyakoshi, "The Family of Regularized Parametric Projection Filters for Digital Image Restoration", IEICE Transactions on Fundamentals, Vol.E82-A, No.3, pp.527-534, Mar., 1999.
  40. A. Tanaka and M. Miyakoshi, "Separated Kernel Expression of the Family of Projection Filters", IEICE Transactions on Information and Systems (Japanese Edition), Vol.J82-D-II, No.4, pp.838-840, Apr., 1999.
  41. A. Tanaka, H. Imai, and M. Miyakoshi, "Image Restoration by Projection Filter with a Quadratic Form Constraint", IEICE Transactions on Information and Systems, Vol.J82-D-II, No.3, pp.415-421, Mar., 1999.
  42. H.Imai, A.Tanaka, and M.Miyakoshi, "The family of Parametric Projection Filters and its properties for perturbation", IEICE Transactions on Information and Systems, Vol.E80-D, No.8, pp.788-794, Aug., 1997.
  43. H. Imai, A. Tanaka, and M. Miyakoshi, "Properties of the Family of Projection Filters for a Perturbation of Operators", IEICE Transanction on Information and Systems (Japanese Edition), Vol.J80-D-II, No.5, pp.1128-1135, May, 1997.
  44. H. Imai, A. Tanaka, and M. Miyakoshi, "Evaluation of Optimum Image Restoration Filters by Perturbation of a Degraded Operator", IEICE Transactions on Information and Systems (Japanese Edition), Vol.J80-D-II, No.3, pp.754-761, Mar., 1997.
  45. A. Tanaka, H. Imai, M. Miyakoshi, and T. Da-te, "Enlargement of Digital Images with Multiresolution Analysis", IEICE Transactions on Information and Systems (Japanese Edition), Vol.J79-D-II, No.5, pp.819-825, May, 1996.
International Conferences
  1. M. Nakamura, S. Yamasaki, H. Hashizume, and M. Sugimoto, "Short-time and Adaptive Controllable Spot Communication using COTS Speaker", 11th International Conference on Indoor Positioning and Indoor Navigation (IPIN2021), Lloret de Mar, Spain (2021,12), 8 pages
  2. M. Nakamura, K. Fujimoto, H. Murakami, H. Hashizume, and M. Sugimoto, "Indoor Localization Method For a Microphone Using a Single Speaker", 11th International Conference on Indoor Positioning and Indoor Navigation (IPIN2021), Lloret de Mar, Spain (2021,12), 8 pages
  3. T. Suzaki, M. Nakamura, H. Murakami, H. Watanabe, H. Hashizume, and M. Sugimoto, "Expanding the Positioning Area for Acoustic Localization Using COTS Mobile Devices", 18th EAI International Conference on Mobile and Ubiquitous Systems: Computing, Networking and Services (MobiQuitous2021), Beppu, Japan (2021,11), pp.422-437
  4. H. Murakami, Y. Kandori, T. Suzaki, M. Nakamura, H. Watanabe, H. Hashizume, and M. Sugimoto, "NL-Beep: A Ranging System between Multiple Smartphones Using Acoustic Sensing in NLOS Environments", 11th International Conference on Indoor Positioning and Indoor Navigation (IPIN2021), Lloret de Mar, Spain (2021,12), 8 pages
  5. Akira Tanaka, Masanari Nakamura, Hideyuki Imai: "MODEL SELECTION OF KERNEL RIDGE REGRESSION FOR EXTRAPOLATION", 2021 IEEE International Workshop on Machine Learning for Signal Processing (MLSP2021), Australia, Gold Coast (2021,10), 6 pages.
  6. M. Nakamura, H. Hashizume, and M. Sugimoto: "Simultaneous Localization and Communication Methods using Short-time and Narrow-band Acoustic Signals", Proceedings of IARIA SENSORDEVICES2020, Valencia, Spain (2020,11), pp.42-48
  7. Akira Tanaka, Hideyuki Imai: "KERNEL RIDGE REGRESSION WITH AUTOCORRELATION PRIOR: OPTIMAL MODEL AND CROSS-VALIDATION", 2020 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2020), Barcelona, Spain (2020,5), pp.3867-3871
  8. Akira Tanaka: "Kernel-Induced Sampling Theorem for Translation-Invariant Reproducing Kernel Hilbert Spaces with Uniform Sampling", 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2018), Calgary, Canada (2018,4), pp.4554-4558
  9. Yuuki Saito, Akira Tanaka: "Optimal Kernel in Kernel Regression Problems with Autocorrelation Prior", Proceedings of APSIPA Annual Summit & Conference 2017, Kuala Lumpur, Malaysia, (2017,12), Paper ID:78
  10. Akira Tanaka and Arata Kawamura: "Iterative Zero Phase Method for White and Impulse Noise Reduction", 22th International Conference on Digital Signal Procerssing, London, United Kingdom (2017.8), paper ID : 42
  11. Akira Tanaka: "Kernel Regression with Autocorrelation Prior", 12th International Conference on Sampling Theory and Applications, Tallinn, Estonia (2017.7), pp.318-321
  12. Akira Tanaka: "A Simple Proof for The Equivalence of Multiple Kernel Regressors and Single Kernel Regressors with Sum of Kernels", Proceedings of APSIPA Annual Summit & Conference 2015, Hong Kong, China (2015,12), pp.242-245
  13. Akira Tanaka: "Analyses on Empirical Error Minimization in Multiple Kernel Regressors", 2015 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2015), Brisbane, Australia (2015,4), pp.2046-2050
  14. Akira Tanaka, Ichigaku Takigawa, Hideyuki Imai, and Mineichi Kudo: "Theoretical Analyses on Ensemble and Multiple Kernel Regressors", The 6th Asian Conference on Machine Learning (ACML2014), Nha Trang, Vietnam (2014,11), Paper ID:2
  15. Akira Tanaka, Ichigaku Takigawa, Hideyuki Imai, and Mineichi Kudo: "Analyses on Generalization Error of Ensemble Kernel Regressors", Joint IAPR International Workshops on Syntactical and Structural Pattern Recognition (SSPR2014) and Statistical Pattern Recognition (SPR 2014), Joensuu, Finland (2014,8), pp.273-281
  16. Akira Tanaka and Hideyuki Imai: "MUSIC-based DOA Estimation by Oblique Projection Along The Signal Subspace", 2014 IEEE Workshop on Statistical Signal Processing (SSP2014), Gold Coast, Australia (2014,6,7), pp.320-323
  17. Katsuya Kohno and Akira Tanaka: "Image Inpainting Based on Block-Based Linear Regression and Minimum Variance Convex Combinations", The 15th IASTED International Conference on Signal and Image Processing (SIP 2013), Banff, Canada (2013,7), pp.368-373
  18. Miho Murota and Akira Tanaka: "Performance Improvement of The FFDiag Algorithm Based on Pre-diagonalization by Closed-form Joint Diagonalizers", The 15th IASTED International Conference on Signal and Image Processing (SIP 2013), Banff, Canada (2013,7), pp.345-350
  19. Akira Tanaka: "KERNEL-INDUCED SAMPLING THEOREM FOR BANDPASS SIGNALS WITH UNIFORM SAMPLING", 2013 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2013), Vancouver, Canada (2013,5), pp.5450-5453
  20. Katsuya Kohno, Akira Tanaka, and Hideyuki Imai: "A Novel Criterion for Quality Improvement of JPEG Images Based on Image Database and Re-application of JPEG", Proceedings of APSIPA Annual Summit & Conference 2012, Hollywood, CA, USA (2012,12), Paper ID:112
  21. Akira Tanaka and Miho Murota: "Performance Improvement of Closed-Form Joint Diagonalizer of Non-Negative Hermitian Matrices", Proceedings of APSIPA Annual Summit & Conference 2012, Hollywood, CA, USA (2012,12), Paper ID:44
  22. Akira Tanaka and Ryo Takahashi: "Diffusion Noise Suppression by Crystal-Shape Subtraction Array", Proceedings of APSIPA Annual Summit & Conference 2012, Hollywood, CA, USA (2012,12), Paper ID:9
  23. Akira Tanaka, Takahiro Ogawa, and Miki Haseyama: "Image Inpainting by Block-Based Linear Regression with Optimal Block Selection", Proceedings of APSIPA Annual Summit & Conference 2012, Hollywood, CA, USA (2012,12), Paper ID:8
  24. A. Tanaka, I. Takigawa, H. Imai, and M. Kudo: "Extended Analyses for an Optimal Kernel in a Class of Kernels with an Invariant Metric", Joint IAPR International Workshops on Syntactical and Structural Pattern Recognition (SSPR2012) and Statistical Pattern Recognition (SPR 2012), Hiroshima, Japan (2012,11), pp.345-353
  25. A. Tanaka, H. Imai, and K. Takamiya: "Variance Analyses for Kernel Regressors with Nested Reproducing Kernel Hilbert Spaces", 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2012), Kyoto, Japan (2012,3), pp.2001-2004
  26. Y. Mizuno, A. Tanaka, and M. Miyakoshi: "Music Interpolation by Wiener Filter and Its Application to Music Arrangement", The 2011 IEEE International Conference on Granular Computing (GrC2011), Kaohsiung, Taiwan (2011,11), pp.468-472
  27. Y. Amano, A. Tanaka, and M. Miyakoshi: "Non-negative Matrix Factorization Considering Given Vectors in a Basis", The 2011 IEEE International Conference on Granular Computing (GrC2011), Kaohsiung, Taiwan (2011,11), pp.48-53
  28. A. Takizawa, A. Tanaka, and M. Miyakoshi: "Performance Improvement of Metric Reconstruction Based on Partial Joint Diagonalization", The 2011 IEEE International Conference on Granular Computing (GrC2011), Kaohsiung, Taiwan (2011,11), pp.625-629
  29. A. Tanaka, H. Imai, M. Kudo, and M. Miyakoshi: "Theoretical Analyses on a Class of Nested RKHS's", 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2011), Prague, Czech (2011,5), pp.2072-2075
  30. A. Tanaka, M. Miyakoshi: "Analyses on Kernel-Specific Generalization Ability for Kernel Regressors", 10th International Symposium on Signal Processing and Information Technology (ISSPIT2010), Luxor, Egypt, pp.61-66
  31. A. Tanaka, H. Imai, M. Kudo, and M. Miyakoshi: "A Relationship Between Generalization Error and Training Samples in Kernel Regressors", 20th International Conference on Pattern Recognition (ICPR2010), Istanbul, Turkey (2010,8), pp.1421-1424
  32. A. Tanaka and M. Miyakoshi: "Theoretical Analyses for a Class of Kernels with an Invariant Metric", 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2010), Dallas, USA (2010,3)
  33. A. Tanaka and M. Miyakoshi: "Performance Improvement of Second-Order-Statistics-Based Noisy BSS", The 7th IASTED International Conference on Signal Processing, Pattern Recognition and Applications (SPPRA2010), Innsbruck, Austria (2010.2), 678-141.
  34. H. Saruwatari, Y. Takahashi, K. Tachibana, Y. Mori, S. Miyabe, K. Shikano, and A. Tanaka: "Fast and Versatile Blind Separation of Diverse Sounds Using Closed-Form Estimation of Probability Density Functions of Sources", The Third International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP2009), Aruba, Dutch Antilles, (2009.12).
  35. A. Tanaka, M. Miyakoshi, and N. Ono : "ANALYSIS ON BLIND DECORRELATION OF ISOTROPIC NOISE CORRELATION MATRICES BASED ON SYMMETRIC DECOMPOSITION", IEEE Statistical Signal Processing Workshop 2009 (SSP2009), Cardiff, UK (2009,8-9)
  36. Y. Takahashi, H. Saruwatari, Y. Fujihara, K. Tachibana, Y. Mori, S. Miyabe, K. Shikano, A.Tanaka: "SOURCE ADAPTIVE BLIND SIGNAL EXTRACTION USING CLOSED-FORM ICA F= OR HANDS-FREE ROBOT SPOKEN DIALOGUE SYSTEM", 2009 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2009), Taipei, Taiwan (2009,4)
  37. A. Tanaka and M. Miyakoshi: "Joint Estimation of Signal and Noise Correlation Matrices and Its Application to Inverse Filtering", 2009 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2009), pp.2181-2184, Taipei, Taiwan (2009,4)
  38. A. Tanaka, K. Azuma, and M. Miyakoshi: "GCD-Based Blind Deconvolution Using PCA-Based Noise Reduction" The 6th IASTED International Conference on Signal Processing, Pattern Recognition and Applications (SPPRA2009), Innsbruck, Austria (2009.2), 643-009.
  39. Y. Fujihara, Y. Takahashi, S. Miyabe, H. Saruwatari, K. Shikano, A. Tanaka: "Performance Improvement of Higher-Order ICA Using Learning Period Detection Based on Closed-Form Second-Order ICA and Kurtosis", The 11th Internationak Workshop for Acoustic Echo and Noise Control (IWAENC2008), Seattle, WA, USA (2008,9)
  40. A. Tanaka, H. Imai, and M. Miyakoshi: "Noisy BSS Based on Joint Diagonalization of Differences of Correlation Matrices", The 10th IASTED International Conference on Signal and Image Processing (SIP 2008), Kailua-Kona, Hawaii, USA (2008,8), pp.368-373
  41. K. Tachibana, Y. Takahashi, Y. Mori, H. Saruwatari, K. Shikano, and A. Tanaka, "Fast Nonclosed-form Higher-order ICA With Frequency-subband Selection Using Closed-form Second-order ICA", 2008 RISP International Workshop on Nonlinear Circuits and Signal Processing (NCSP'08), March 2008.
  42. A. Tanaka, H. Imai, J. Toyama, M. Kudo, and M. Miyakoshi: "Wiener Implementation of Kernel Machines", The Fifth IASTED International Conference on Signal Processing, Pattern Recognition, and Applications (SPPRA2008), Innsbruck, Austria (2008.2), 599-042.
  43. A. Tanaka, H. Imai, M. Miyakoshi, "Selection of Correlation Matrices for Second-Order-Statistics-Based Blind Source Separation", IEEE Statistical Signal Processing Workshop 2007 (SSP2007), Madison, WI, USA (2007,8)
  44. K. Tachibana, H. Saruwatari, Y. Mori, S. Miyabe, K. Shikano, and A. Tanaka, "Efficient Blind Source Separation Combining Closed-Form Second-Order ICA and Nonclosed-Form Higher-Order ICA", 2007 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2007), Honolulu, Hawaii, USA (2007,4)
  45. A. Tanaka, H. Imai, and M. Miyakoshi, "Second-Order-Statistics-Based Blind Source Separation for Non-Stationary Sources with Stationary Noise", The 6th IEEE International Symposium on Signal Processing and Information Technology (ISSPIT2006), Vancouver, Canada (2006,8)
  46. A. Tanaka, M. Sugiyama, H. Imai, M. Kudo, and M. Miyakoshi, "Model Selection Using a Class of Kernels with an Invariant Metric", Joint IAPR International Workshops on Syntactical and Structural Pattern Recognition (SSPR2006) and Statistical Pattern Recognition (SPR 2006), Hong Kong, China (2006,8)
  47. A. Tanaka, H. Imai, and M. Miyakoshi, "Theoretical Foundations of Second-Order-Statistics-Based Blind Source Separation for Non-Stationary Sources", 2006 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2006), Toulouse, France (2006,5)
  48. A. Tanaka, H. Imai, and M. Miyakoshi, "Image Restoration With an Affine Constraint", The fifth IASTED International Conference on Visualization, Imaging & Image Processing (VIIP2005), Benidorm, Spain (2005,9)
  49. A. Tanaka, H. Imai, M. Kudo, and M. Miyakoshi, "Mathematical Interpretations of Kernel Ridge Regression", The seventh International Conference on Computing Anticipatory Systems (CASYS'05), Liege, Belgium (2005,8)
  50. A. Tanaka, M. Miyakoshi, "D.O.A. Estimation With Singular Noise Correlation Matrix",2005 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2005), Philadelphia, PA, USA (2005,3)
  51. A. Tanaka, I. Takigawa, H. Imai, M. Kudo and M. Miyakoshi, "Projection Learning Based Kernel Machine Design Using Series of Monotone Increasing Reproducing Kernel Hilbert Spaces", The Eighth International Conference on Knowledge-Based Intelligent Information & Engineering Systems (KES 2004), Wellington, New Zealand (2004,9) (Proceedings : Part I, pp.1058-1064)
  52. M. Kudo, H. Imai, A. Tanaka, and T. Murai, "A Nearest Neighbor Method Using Bisectors", Joint IAPR International Workshops on Syntactical and Structural Pattern Recognition (SSPR2004) and Statistical Pattern Recognition (SPR 2004), Lisbon, Portugal (2004,8)
  53. T. Murai, Y. Kudo, V. N. Huynh, A. Tanaka, and M. Kudo, "A Note on Fuzzy Granular Reasoning", IEEE International Conference on Fuzzy Systems (FUZZ-IEEE2004), Budapest, Hungary (2004,7)
  54. A. Tanaka, H. Imai and M. Miyakoshi, "Image Restoration for Observation Processes with Stochastic Variation", The 8th World Multiconference on Systemics, Cybernetics and Informatics (SCI 2004), Orlando, Florida, USA (2004,7) (Proceedings : Vol.V, pp.92-96)
  55. A. Nakamura, M. Kudo, A. Tanaka and Kazuhiko Tanabe, "Collaborative Filtering using Projective Restoration Operators", Proceedings of 6th International Conference on Discovery Science (DS2003), pp.393-401, 2003.
  56. A. Nakamura, M. Kudo and A. Tanaka, "Collaborative Filtering using Restoration Operators", Proceedings of the 7th European Conference on Principles and Practice of Knowledge Discovery in Databases (PKDD2003), pp.339-349, 2003.
  57. A.Tanaka, H.imai, and M.Miyakoshi, "Image Restoration with Kernel Component Estimation in Singular Observation Process", 2003 IEEE Workshop on Statistical Signal Processing (SSP 03), St. Louis, Missouri, USA (2003,9)
  58. A.Tanaka, H.imai, and M.Miyakoshi, "Digital Image Enlargement Based on Kernel Component Estimation", The 6th International Conference on Computing Anticipatory Systems (CASYS 03), Liege, Belgium (2003,8)
  59. K.Takamiya and A.Tanaka, "The Role of Small Irrationarity in Communication and Strategic Decisions: An Example with the Electronic Mail Game", Taj-IBM Conference on Game Theory & its Applications (Game Theory-2003), Mumbai, India (2003,1)
  60. A.Tanaka, H.imai, and M.Miyakoshi, "On Duality of Formulations in Image Restoration Problems", The 8th IASTED International Conference Signal and Image Processing (SIP 2002). Kauai, Hawaii, USA (2002,8)
  61. A.Tanaka, H.imai, and M.Miyakoshi, "Relations and Differences Between Classical and Modern Formulations in Image Restoration Problems", The 6th World Multiconference on Systemics, Cybernetics and Informatics (SCI 2002), Orlando, Florida, USA (2002,7)
  62. A.Tanaka, H.Imai, and M.Miyakoshi, "Choosing the Parameter of Regularized MP-Inverses by Modified SIC in Image Restoration Problems", The Fifth International Conference on Computing Anticipatory Systems (CASYS'01), Liege, Belgium (2001,8)
  63. A.Tanaka and M.Miyakoshi, "Image Restoration by Multiscale Spatial Adaptive Regularization", The Third International Conference on Computing Anticipatory Systems (CASYS'99), Liege, Belgium (1999,8)
Fuzzy Computing and Multi-Valued Logics (Kawaguchi)

Overview
Under Constructions
Publications

Reviewed Papers
  1. O.Watari, T.Ueno, K.Nakatogawa, M.F.Kawaguchi & M.Miyakoshi : Sequent systems for classical and intuitionistic substructural modal logic, Proceedings of the 7th and 8th Asian Logic Conferences, Singapore University Press & World Scientific, pp.423-442, 2003.
  2. M.F.Kawaguchi & M.Miyakoshi ：Extended t-norms as logical connectives of fuzzy truth values, Int. J. Multiple-Valued Logic, Vol.8, No.1, pp.53-69, 2002.
  3. M.F.Kawaguchi & M.Miyakoshi：Fuzzy spline interpolation in sparse fuzzy rule bases, L.Ding(ed.), A New Paradigm of Knowledge Engineering by Soft Computing, FLSI Soft Computing Series, Vol.5, Chap.6, pp.95-120, 2001.
  4. M.F.Kawaguchi & M.Miyakoshi ：L-fuzzy logic with non-associative conjunctions, Int. J. Multiple-Valued Logic, Vol.4, No.4, pp.281-306, 1999.
  5. M.F.Kawaguchi & M.Miyakoshi ：Composite fuzzy relational equations with non-commutative conjunctions, Information Sciences. Vol.110, No.1-2, pp.113-125, 1998.
  6. H.Imai, A.Tanaka, and M.Miyakoshi, "A Method of Identifying Influential Data in Fuzzy Clustering", IEEE Transactions on Fuzzy Systems, Vol.6, No.1, pp.90-101, Feb., 1998.
Invited Lectures
  1. M.F.Kawaguchi: Weakly associative conjunctions ― An restricted class of extended L-fuzzy logic, Invited Lecture, Department of Applied Mathematics and Computer Science, University of Gent, Gent, Belgium (1999年9月).
International Conferences
  1. M.F.Kawaguchi & M.Miyakoshi：Weakly associative functions on [0,1] as logical connectives, ISMVL2004 (2004年5月) to appear
  2. M.F.Kawaguchi & M.Miyakoshi：Weakly associative functions as conjunctive operators for approximate reasoning, Booklet of 12th International Workshop on Post-Binary ULSI Systems (2003年5月) pp.47-52.
  3. M.F.Kawaguchi & M.Miyakoshi：Fuzzy spline function and non-linear interpolation of IF-THEN rules, Proceedings of Sixth International Conference on Soft Computing (Iizuka2000), Iizuka, (2000年10月) pp.785-792. CD-ROM:C-8-3.
  4. M.F.Kawaguchi & M.Miyakoshi：A fuzzy rule interpolation technique based on bi-splines in multiple input systems, Proceedings of Ninth International Conference on Fuzzy Systems 2000 (FUZZ-IEEE2000 ), San Antonio (2000年5月) pp.488-492.
  5. M.F.Kawaguchi & M.Miyakoshi ：Extended triangular norms in type 2 fuzzy logic, Proceedings of Seventh European Congress on Intelligent Techniques and Soft Computing (EUFIT'99), Aachen (1999年9月) CD-ROM:BC1-12669_p.pdf.
  6. M.F.Kawaguchi & M.Miyakoshi ：Fuzzy spline interpolation in sparse fuzzy rule bases, Proceedings of the Fifth International Conference on soft Computing and Information / Intelligent Systems(IIZUKA'98), Iizuka, T.Yamakawa et al.(eds), Methodologies for the Conception, Design and Application of Soft Computing, World Scientific (1998年10月) pp.664-667．
  7. M.F.Kawaguchi & M.Miyakoshi ： An extended L-fuzzy logic, Proceedings of Seventh International Conference of Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU'98), Paris (1998年7月) pp.1748-1755．
  8. M.F.Kawaguchi & M.Miyakoshi : Approximate reasoning with non-commutative and non-associative conjunctions, Proceedings of Sixth IEEE International Conference on Fuzzy Systems 1997 (FUZZ-IEEE'97), Barcelona (1997年7月) pp,163-169．
  9. M.F.Kawaguchi，M.Miyakoshi & M.Kawaguchi : Linear interpolation with triangular rules in sparse fuzzy rule bases, Proceedings of seventh International Fuzzy Systems Association World Congress (IFSA'97), Prague, Vol.II (1997年6月) pp.138-143.
  10. M.F.Kawaguchi ＆ M.Miyakoshi ： Composite fuzzy relational equations with non-commutative conjunctions, Proceedings of the 4th International Conference on Soft Computing (IIZUKA'96)，Iizuka，T.Yamakawa et al. (eds.), Methodologies for the Conception, Design, and Application of Intelligent Systems, World Scientific, (1996年10年) pp.331-335．
  11. M.F.Kawaguchi, T.Ohno, H.Tachibana, M.Miyakoshi & T.Da-te : Modus ponens and modus tollens under the compositional rule of inference with triangular norms, Proceedings of Fifth IEEE International Conference on Fuzzy Systems 1996 (FUZZ-IEEE'96), New Orleans (1996年9 月) pp.912-917.

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Akira TANAKA