Manabu MachidaAssociate Professor Department of Informatics Faculty of Engineering Kindai University JST PRESTO researcher
Address:
1 Takaya-Umenobe, Higashi-Hiroshima,
Inverse problems, Optical tomography, Radiative transport
Ph.D., The University of Tokyo |
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Postdoc positions are available through JSPS:
特別研究員,
standard program
Teaching
Multimedia, 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）
- 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:2406.09466)
C. Zhang and M. Machida,
Diffuse optical tomography in time domain with the inverse Rytov series,
submitted. -
(arXiv:2405.09447)
M. Machida,
Rotated reference frames in radiative transport theory,
Progress in Optics 69, 1–78, May 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 -
link
(arXiv:2303.01798)
A. Kawamoto, M. Machida, and M. Yamamoto,
Homogenization and inverse problems for fractional diffusion equations,
Fractional Calculus and Applied Analysis 26:5, 2118–2165, August 2023.
doi: 10.1007/s13540-023-00195-8 -
L. Xu, K. Kikushima, S. Sato, A. Islam, T. Sato, S. Aramaki, C. Zhang, T. Sakamoto, F. Eto, Y. Takahashi, I. Yao, M. Machida, T. Kahyo, and M. Setou,
Spatial distribution of the Shannon entropy for mass spectrometry imaging,
PLoS ONE 18:4, e0283966, 2023.
doi: 10.1371/journal.pone.0283966 -
(arXiv:2208.07718)
M. Machida, K. Osada, and K. Kagawa,
Diffuse optical tomography with the impulse stripe illumination and the depth of the banana,
to appear in Journal of Modern Optics.
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,
to appear in Waves in Random and Complex Media.
doi: 10.1080/17455030.2022.2049924 -
(arXiv:2201.08651)
M. Machida,
The inverse Rytov series for diffuse optical tomography,
Inverse Problems 39, 105012, September 2023.
doi: 10.1088/1361-6420/acf51b -
(arXiv:1907.00719)
J. Eom, M. Machida, G. Nakamura, G. Nishimura, and C. Sun,
Expressions of the peak time for time-domain boundary measurements of diffuse light,
Journal of Mathematical Physics 64, 083504, August 2023.
doi: 10.1063/5.0081169 -
(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 series to determine coefficients of partial differential equations , 広島微分方程式研究会, 広島大学, October, 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, 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.
- [invited] Reconstruction of the absorption property in biological tissue with the inverse Rytov series, CoMFoS23 (Zoom), December 12, 2023.
- 3次元解析的離散方位法, 日本流体力学会年会2023, 東京農工大学, September 20, 2023.
- [invited] Inverse problems for the Duffing equation in pediatrics, ICIAM 2023 Control and inverse problems on waves, oscillations and flows, Waseda University, August 23, 2023.
- [invited] Nonlinear Rytov Approximation as a Practial Inversion Scheme for Optical Tomography, BIRS Workshop 2023 Leveraging Model- and Data-Driven Methods in Medical Imaging (23w5042), UBC Okanagan campus in Kelowna, B.C., June 29, 2023.
- 生体の情報抽出のための数理の活用法, JST ACT-X「生命と化学」第1回研究者交流会議「生命と化学と情報科学」, 科学技術振興機構東京本部別館, May 9, 2023.
Software
EZ-RTE was upgraded [2022/12/23] → www.mmachida.com/ezrte/
Biography: While being an assistant professor 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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