Manabu MachidaAssociate Professor Department of Informatics Faculty of Engineering Kindai University
Address:
1 Takaya-Umenobe, Higashi-Hiroshima,
Inverse problems, Transport in random media, Optical tomography
Ph.D., The University of Tokyo |
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Postdoc positions are available through JSPS:
特別研究員,
standard program
Teaching
Inverse problems, Statistics, Web, Pattern recognition, etc.
Some past teaching materials including lecture notes can be found below.
- Lecture note on inverse problems and reconstruction methods (arXiv:2409.08505)
- Inverse problems and reconstruction methods, Summer intensive course at School of Mathematics, Shanghai University of Finance and Economics (August 2024)
- 数学Ｂ１（微分積分）生医, Waseda University (2020-2022)
- 数学特別講義（応用数学Ｉ）偏微分方程式の逆問題 (Inverse problems for partial differential equations), Department of Mathematics, Kyoto University (Fall 2020)
- Numerical methods (University of Michigan, Math 471 course page)
- Partial differential equations (University of Michigan, Math 454 course page)
- Linear algebra (University of Michigan, Math 417 course page)
- Lecture note on Case's method in linear transport theory (pdf)
- Lecture note on inverse problems by Carleman estimates (pdf)
- Inverse problems for time-resolved diffuse optical tomography (Japanese), SICE (計測自動制御学会) 計測と制御 65:2, 117–123, February 2026.
- JST 数学領域 未解決問題ワークショップ（第7回、第8回、第9回、第10回）
- IP@RIMS2023: Inverse Problems, Medical Imaging, and Related Topics
- Optics and Inverse Problems: Optical Tomography (Japanese), 日本物理学会誌 (membership journal of the Physical Society of Japan) 72:10, 712–716, October 2017.
Recent Papers
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Lili Xu, Koyo Sawa, Chi Zhang, Soho Oyama, Takumi Sakamoto, Ippei Obayashi, Manabu Machida, Tomoaki Kahyo, and Mitsutoshi Setou,
Analysis of entropy heat maps of imaging mass spectrometry data with persistent homology,
submitted. -
(arXiv:2512.00423)
A. Ishida and M. Machida,
Iterative inversion schemes for the Born series and the reduced inverse Born series,
submitted. -
(arXiv:2602.08601)
M. Machida and K. Mayumi,
Tikhonov regularization-based reconstruction of partial scattering functions obtained from contrast variation small-angle neutron scattering,
Polymer Journal 58, 759–769, April 2026.
doi: 10.1038/s41428-026-01166-5 -
T. Tazaki, T. Sakamoto, L. Xu, C. Zhang, K. Yotsumoto, K. Kikushima, K. Sano, M. Machida, T. Kahyo, Y. Takahashi, and M. Setou,
Evaluation of the skin using the Shannon entropy from the mass spectrometric profile of the stratum corneum,
submitted. -
(arXiv:2503.14764)
M. Machida, H. Notsu, and J. F. T. Rabago,
A shape-optimization approach for inverse diffusion problems by single boundary measurement,
to appear in Inverse Problems and Imaging.
doi: 10.3934/ipi.2026049 -
(arXiv:2501.01976)
M. Machida,
The radiative transport equation with waiting time and its diffusion approximation with a time-fractional derivative,
to appear in Journal of Computational and Theoretical Transport.
doi: 10.1080/23324309.2025.2507649 -
V. A. Markel, M. Machida, and J. C. Schotland,
Collision expansion for the radiative transport equation: analytical results and numerical simulations,
Journal of Quantitative Spectroscopy and Radiative Transfer 333, 109311, March 2025.
doi: 10.1016/j.jqsrt.2024.109311 -
(arXiv:2411.10025)
M. Machida, T. Mitsuie, Y. Nakao, Y. Htun, A. Morimoto, U. Hanaoka, Y. Konishi, K. Koyano, S. Nakamura, and T. Kusaka,
Time evolution of piglet cerebral blood volume after resuscitation from hypoxic-ischemic insult,
Scientific Reports 15, 26806, July 2025.
doi: 10.1038/s41598-025-11898-8 -
(arXiv:2406.09466)
C. Zhang and M. Machida,
Diffuse optical tomography in time domain with the inverse Rytov series,
Journal of Computational Mathematics 44:2, 328–348, March 2026.
doi: 10.4208/jcm.2411-m2024-0125 -
(arXiv:2203.12327)
M. Machida,
Analytical discrete ordinates for the three-dimensional radiative radiative equation in the half space,
submitted. -
(arXiv:2105.12398)
M. Machida and K. Das,
Three-dimensional analytical discrete-ordinates method for the radiative transport equation,
Waves in Random and Complex Media 35:2, 3156–3178, April 2025.
doi: 10.1080/17455030.2022.2049924 -
(arXiv:2107.09799)
T. Mimura, Y. Jiang, N. Todoroki, and M. Machida,
Shape-constrained reconstruction in diffuse optical tomography by simulated annealing,
submitted. -
T. Mimura, M. Machida, S. Okawa, H. Kawaguchi, Y. Tanikawa, and Y. Hoshi,
Imaging the human whole thyroid using three-dimensional diffuse optical tomography,
submitted. -
(arXiv:2009.04277)
M. Machida and M. Yamamoto,
Global Lipschitz stability for inverse problems for radiative transport equations,
submitted. -
M. Machida, A. Kawamoto, Y. Tanikawa, and Y. Hoshi,
submitted.
Recent Talks
- 時間遅れ線型ボルツマン方程式と時間非整数階移流拡散方程式, 日本流体力学会 年会2026, 信州大学, Nagano, September 24-26, 2026.
- [invited] 逆級数による逆問題解法と光トモグラフィー, 京都大学応用数学セミナー, Kyoto, July 14, 2026.
- [invited] Reduced inverse Born series for the diffusion equation, CoMFoS–NASC International Conference, Hotel Bluewater Maribago Beach Resort, Cebu, Philippines, June 20, 2026.
- [invited] Nonlinear Rytov approximation for optical tomography, Inverse Problems: Modeling and Simulation (IPMS 2026), Paradise Bay Resort Hotel, Malta, June 2, 2026.
- [invited] Inverse Rytov series for optical tomography, Finnish-French Workshop on Biomedical Optical Imaging, Kuopio Music Center, Finland, March 18, 2026.
- [invited] Reduced inverse Born series and an iterative inversion for inverse problems, 偏微分方程式姫路研究集会, 姫路, March 3-6, 2026.
- Time-delay particle transport and time-fractional derivatives, Finland-Japan Workshop in Industrial and Applied Mathematics, 城西大学, Tokyo, January 19-21, 2026.
- [invited] Time-resolved diffuse optical tomography by the inverse Rytov series, 偏微分方程式に対する逆問題とその周辺, 京都大学 数理解析研究所 (RIMS), January 15, 2026.
- [invited] Tutorial: Inverse problems by inverse series, 偏微分方程式に対する逆問題とその周辺, 京都大学 数理解析研究所 (RIMS), January 14, 2026.
- 摂動論に基づく逆問題解法, JSIAM 環瀬戸内応用数理研究部会 第29回シンポジウム, 追手門学院大学総持寺キャンパス, December 20, 2025.
- [invited] Lipschitz stability of inverse problems for the time-fractional advection-diffusion equation and its relation to the linear Boltzmann equation, The 9th Young Scholar Symposium of the East Asia Section of IPIA, Kyoto University, November, 2025.
- [invited] Inverse problems for the time-fractional advection-diffusion equation and their practical meanings, China-Japan Joint Workshop on Practical Inverse Problems Based on Interdisciplinary and/or Industry-Academia Collaboration, JR博多シティ, Hakata, October 15, 2025.
- 多孔質媒体中の輸送現象：メソスケールの実験に基づくマクロスケールの支配方程式, The Physical Society of Japan 年次大会, Hiroshima University, September 16, 2025.
- 待ち時間つき線型ボルツマン方程式の漸近極限としての時間非整数階移流拡散方程式, JSIAM 年会, Tokyo University of Science, September 2, 2025.
- [invited] 光トモグラフィーと逆問題, 近畿大学工学部 研究公開フォーラム, 広島国際会議場, August 26, 2025.
- [invited] Nonlinear Rytov approximation with the inverse Rytov series, AIP, FGV EMAp, Rio de Janeiro, Brazil, July 31, 2025.
- [invited] Inverse diffusion problem and diffuse optical tomography, EASIAM (East Asia SIAM Section), De La Salle University, Manila, Philippines, July 2, 2025.
Software
EZ-RTE was upgraded [2022/12/23] → www.mmachida.com/ezrte/
- JSIAM, Mathematical Aspects of Continuum Mechanics (MACM), Secretary
- Journal of Computational and Theoretical Transport, Editorial Board Member
Reviewer for [1] Applicable Analysis, [2] Applied Optics, [3] Biomedical Materials, [4] Biomedical Optics Express, [5] Communications Physics, [6] Engineering Research Express, [7] Europhysics Letters, [8] Fractional Calculus and Applied Analysis, [9] International Journal of Applied and Computational Mathematics, [10] International Journal of Thermal Sciences, [11] Inverse Problems, [12] Inverse Problems and Imaging, [13] Journal of Applied Statistics, [14] Journal of Computational and Theoretical Transport, [15] Journal of Control, Measurement, and System Integration, [16] Journal of Inequalities and Applications, [17] Journal of Mathematical Physics, [18] Journal of Modern Optics, [19] Journal of Neural Engineering, [20] Journal of Optics, [21] Journal of Physics D, [22] Journal of Physics: Photonics, [23] Journal of the Optical Society of America A, [24] Journal of the Physical Society of Japan, [25] Journal of Quantitative Spectroscopy and Radiative Transfer, [26] International Journal of Applied Nonlinear Science, [27] Methods and Applications in Fluorescence, [28] Molecular Physics, [29] New Journal of Physics, [30] Nuclear Science and Engineering, [31] Optica, [32] Optics Communications, [33] Optics Express, [34] Optics Letters, [35] Optical Review, [36] Physica Scripta, [37] Physics in Medicine and Biology, [38] Physics Letters A, [39] Physiological Measurement, [40] Results in Physics, [41] SIAM Journal on Applied Mathematics, [42] SIAM Journal on Imaging, [43] Transport Theory and Statistical Physics, and [44] Waves in Random and Complex Media
Biography: While being an assistant professor (research associate) of physics at The University of Tokyo, I became a postdoctoral researcher at Department of Bioengineering, University of Pennsylvania. Then I went to Ann Arbor as a term assistant professor at Department of Mathematics, University of Michigan. After briefly staying at Department of Mathematical Sciences, The University of Tokyo, I went to Hamamatsu, and arrived at Kindai University in Hiroshima.
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[Higashihiroshima, Japan]
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