Manabu Machida Associate Professor Department of Informatics Faculty of Engineering Kindai University JST PRESTO researcher Address: 1 Takaya-Umenobe, Higashi-Hiroshima,      Hiroshima 739-2116, Japan Email:  Inverse problems, Wave propagation in random media, Optical tomography Erdös Number: 3 Einstein Number: 4 Ph.D., The University of Tokyo, 2004

Multimedia, Web, Pattern recognition, etc.

Some past teaching materials including lecture notes can be found below.

• 数学Ｂ１（微分積分）　生医, Waseda University (2020-2022)
• メディカル生体情報処理学（第1-2回）「生体内光伝播」（光医工学共同専攻（静岡大学・浜松医科大学））
• 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)

• 生体ひかりイメージング 基礎と応用（§2.1）, December 2021.
• 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.
• note: rotated boiled egg (Japanese), May 2002.

Recent Papers

• M. Machida,
  Rotated reference frames in radiative transport theory,
  to appear in Progress in Optics.
  doi: 10.1016/bs.po.2023.06.001

• (arXiv:2303.05220)
  L. Xu, C. Zhang, S. Oyama, M. Machida, T. Kahyo, and M. Setou,
  Perplexity for mass spectrometry imaging,
  submitted.

•  link   (arXiv:2303.01798)
  A. Kawamoto, M. Machida, and M. Yamamoto,
  Homogenization and inverse problems for fractional diffusion equations,
  to appear in Fractional Calculus and Applied Analysis.
  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,
  The depth of the banana and the impulse stripe illumination for diffuse optical tomography,
  submitted.

• H. Yamada, L. Xu, F. Eto, R. Takeichi, A. Islam, M. A. Mamun, C. Zhang, I. Yao, T. Sakamoto, S. Aramaki, K. Kikushima, T. Sato, Y. Takahashi, M. Machida, T. Kahyo, and M. Setou,
  Changes of Mass Spectra Patterns on a Brain Tissue Section Revealed by Deep Learning with Imaging Mass Spectrometry Data,
  Journal of the American Society for Mass Spectrometry 33:9, 1607–1614, 2022.
  doi: 10.1021/jasms.2c00080
  (press release [Japanese])

• (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.

• J. J. Liu, M. Machida, G. Nakamura, G. Nishimura, C. L. Sun,
  On fluorescence imaging: diffusion equation model and recovery of absorption coefficient of fluorophores,
  Science China Mathematics 65, 1179–1198, June 2022.
  doi: 10.1007/s11425-020-1731-y

• M. Machida, A. Kawamoto, Y. Tanikawa, and Y. Hoshi,
  submitted.

Recent Talks

• [invited] TBA, The 11th International Conference Inverse Problems: Modeling and Simulation, Inverse Problems in Hybrid Imaging Modalities, Malta, May, 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] TBA, 東北大学, 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, 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, JSTACT-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.

• [invited] Linear Boltzmann equation for transport phenomena in porous media, 北大MMCセミナー, Hokkaido University, November 10, 2022.

• 多孔質媒体中の分子の異常拡散, 日本流体力学会年会2022, 京都大学, September 29, 2022.

• [invited, 特別講演] 逆級数を用いた偏微分方程式の逆問題解法, JSIAM 日本応用数理学会2022年度年会, 北海道大学, September 10, 2022.

• 医学のための数理科学研究, 第3回浜松医科大学学内研究交流会, 奥浜名湖, June 19, 2022.

• [invited] 偏微分方程式の逆問題の逆級数による再構成法, 岡山応用数学セミナー, Okayama Univ Sci & Okayama Univ, June 3, 2022.

• [invited] Diffuse optical tomography with a simulated annealing Monte Carlo algorithm, The 10th International Conference Inverse Problems: Modeling and Simulation, Malta, May 23, 2022.

• Yu Jiang, Manabu Machida, and Norikazu Todoroki, Diffuse optical tomography by simulated annealing, Optics & Photonics International Congress 2022 SI-Thru, Pacifico Yokohama, Japan, April 21, 2022 (Zoom).

• 多孔質媒体中の輸送の支配方程式としての輻射輸送方程式, JSIAM 第18回 研究部会連合発表会, 九州大学, March 8, 2022 (Zoom).

• [invited] Direct and iterative reconstruction methods in optical tomography, Practical inverse problems and their prospects, Institute of Mathematics for Industry, Kyushu University, March 4, 2022 (Zoom).

• [invited] Diffuse optical tomography using simulated annealing, 逆問題における理論と実用, RIMS, Kyoto University, Kyoto, January 7, 2022 (Zoom).

Software

EZ-RTE was upgraded [2022/12/23]  →  www.mmachida.com/ezrte/

• [2021/3] 第9回WASEDA e-Teaching Award大賞（早稲田大学）
  Waseda University e-Teaching Grand Award
• [2019/6] 日本応用数理学会　研究部会連合発表会優秀講演賞
  (JSIAM 2019 Best Talk Award)  学会記事

• Publications
• Conferences and Talks

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.

[Higashihiroshima, Japan]