Manabu MachidaAssociate Professor Department of Informatics Faculty of Engineering Kindai University
Address:
1 Takaya-Umenobe, Higashi-Hiroshima,
Inverse problems, Optical tomography, Transport in random media
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, 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)
- 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）
- 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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(arXiv:2503.14764)
M. Machida, H. Notsu, and J. F. T. Rabago,
A shape-optimization approach for inverse diffusion problems by single boundary measurement,
submitted. -
(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 cerebral blood volume change after resuscitation from hypoxic-ischemic insult for newborn piglets,
submitted. -
(arXiv:2406.09466)
C. Zhang and M. Machida,
Diffuse optical tomography in time domain with the inverse Rytov series,
to appear in Journal of Computational Mathematics.
doi: 10.4208/jcm.2411-m2024-0125 -
(arXiv:2405.09447)
M. Machida,
Rotated reference frames in radiative transport theory,
Progress in Optics 69, 1–78, April 25, 2024.
doi: 10.1016/bs.po.2023.06.001 -
(arXiv:2303.05220)
L. Xu, C. Zhang, S. Oyama, M. Machida, T. Kahyo, and M. Setou,
Coarse-graining of the perplexity for the spatial distribution of molecules,
Physical Review E 109:1, 014402, January 2024.
doi: 10.1103/PhysRevE.109.014402 -
(arXiv:2208.07718)
M. Machida, K. Osada, and K. Kagawa,
Diffuse optical tomography with the impulse stripe illumination and the depth of the banana,
Journal of Modern Optics 71:4-6, 135–149, October 2024.
doi: 10.1080/09500340.2024.2400193 -
(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
- [invited] Inverse diffusion problem and diffuse optical tomography, EASIAM (East Asia SIAM Section), De La Salle University, Manila, Philippines, July 2, 2025.
- [invited] Inverse series to determine coefficients of partial differential equations , 広島微分方程式研究会, 広島大学, October 12, 2024.
- Fractional advection-diffusion equation derived from the linear Boltzmann equation, The 28th International Conference on Transport Theory (ICTT-28), University of Notre Dame, Rome, Italy, September 26, 2024.
- 非整数階の移流拡散方程式の非適切逆問題に対する物理的背景, JSIAM 年会, Kyoto University, September 16, 2024.
- [invited] Non-iterative inversion scheme for optical tomography with inverse series, Finland-Japan Workshop in Industrial and Applied Mathematics, Helsinki, August 27, 2024.
- [invited] Optical tomography with the inverse Rytov series, The 11th International Conference Inverse Problems: Modeling and Simulation (IPMS 2024), Inverse Problems in Hybrid Imaging Modalities, Malta, May 30, 2024.
- [invited] ノイズに弱い非適切な逆問題に対する再構成手法, システム制御情報学会 SCI24, 確率システム, 大阪工業大学, May 25, 2024.
- [invited] 逆問題の級数的手法による近赤外イメージング, JST 拡がる数学, AP市ヶ谷, March 10, 2024.
- 逆リトフ級数の実用, 日本応用数理学会 第20回研究部会連合発表会, 長岡技術科学大学, March 6, 2024.
- [invited] 新生児低酸素性虚血性脳症：近赤外イメージングに関する数理モデリング, JST さきがけ 「複雑流動」x「数理構造活用」セミナー, 東北大学流体科学研究所, January 19, 2024.
- [invited] A numerical scheme for severely ill-posed nonlinear inverse problems with a regularized Moore-Penrose pseudoinverse, Some approaches on ill-posed problems -theory and practice-, 京都大学数理解析研究所, January 10, 2024.
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
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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