Publications

Shizuo Kaji, Naoya Tanabe(joint first author), Tomoki Maetani, Yusuke Shiraishi, Ryo Sakamoto, Tsuyoshi Oguma, Katsuhiro Suzuki, Kunihiko Terada, Motonari Fukui, Shigeo Muro, Susumu Sato, Toyohiro Hirai, Quantification of airway structures by persistent homology, IEEE Transactions on Medical Imaging, vol. 43(8), p.2758--2768, 2024, https://doi.org/10.1109/TMI.2024.3376683

Ryusuke Hayashi, Shizuo Kaji (equal contribution), Yukiko Matsumoto, Satoshi Nishida, Shinji Nishimoto, and Hidehiko Takahashi, Homogenization of word relationships in schizophrenia: Topological analysis of cortical semantic representations, Psychiatry and Clinical Neurosciences, http://doi.org/10.1111/pcn.13727 

Kota Takeda, Shizuo Kaji, and Takemasa Miyoshi, Topological regularization on numerical simulations of the advection equation, JSIAM letters, vol 16, p.53--56, 2024, https://doi.org/10.14495/jsiaml.16.53

Yusuke Shiraishi, Naoya Tanabe, Ryo Sakamoto, Tomoki Maetani, Shizuo Kaji, Hiroshi Shima, Satoru Terada, Kunihiko Terada, Kohei Ikezoe, Kiminobu Tanizawa, Tsuyoshi Oguma, Tomohiro Handa, Susumu Sato, Shigeo Muro and Toyohiro Hirai, Longitudinal assessment of interstitial lung abnormalities on CT in patients with COPD using artificial intelligence-based segmentation: a prospective observational study, BMC Pulmonary Medicine 24:200, 2024, https://doi.org/10.1186/s12890-024-03002-z

Shizuo Kaji and Jingyao Zhang, Finetuning Discrete Architectural Surfaces by use of Circle Packing, Journal of Asian Architecture and Building Engineering, 2023, https://doi.org/10.1080/13467581.2023.2229407, [Code]

• preprint version: Free-form Design of Discrete Architectural Surfaces by use of Circle Packing, arXiv:2103.07584

Naoya Tanabe, Susumu Sato, Takafumi Shimada, Shizuo Kaji, Yusuke Shiraishi, Satoru Terada, Tomoki Maetani, Fumi Mochizuki, Kaoruko Shimizu, Masaru Suzuki, Shotaro Chubachi, Kunihiko Terada, Kazuya Tanimura, Ryo Sakamoto, Tsuyoshi Oguma, Atsuyasu Sato, Megumi Kanasaki, Shigeo Muro, Izuru Masuda, Hiroaki Iijima, Toyohiro Hirai, A reference equation for lung volume on computed tomography in Japanese middle-aged and elderly adults, Respiratory Investigation, Volume 62, Issue 1, Pages 121--127, 2024, https://doi.org/10.1016/j.resinv.2023.12.004

Nariaki Tateiwa, Yuji Shinano, Masaya Yasuda, Shizuo Kaji, Keiichiro Yamamura, and Katsuki Fujisawa, Development and analysis of massive parallelization of a lattice basis reduction algorithm, Japan Journal of Industrial and Applied Mathematics, Volume 41, pages 13–56, 2024, https://doi.org/10.1007/s13160-023-00580-z

Tomoki Maetani, Naoya Tanabe, Yusuke Shiraishi, Takafumi Shimada, Satoru Terada, Hiroshi Shima, Fumi Mochizuki, Ryo Sakamoto, Shizuo Kaji, Tsuyoshi Oguma, Susumu Sato, Hiroaki Iijima, Izuru Masuda, and Toyohiro Hirai, Centrilobular Emphysema Is Associated with Pectoralis Muscle Reduction in Current Smokers without Airflow Limitation, Respiration, 102 (3), 194–202, 2023, https://doi.org/10.1159/000529031

Sho Sugawara, Ryo Okada, Tze Mun Loo, Hisamichi Tanaka, Kenichi Miyata, Masatomo Chiba, Hiroko Kawasaki, Kaoru Katoh, Shizuo Kaji, Yoshiro Maezawa, Koutaro Yokote, Mizuho Nakayama, Masanobu Oshima, Koji Nagao, Chikashi Obuse, Satoshi Nagayama, Keiyo Takubo, Akira Nakanishi, Masato T. Kanemaki, Eiji Hara, and Akiko Takahashi, RNaseH2A downregulation drives inflammatory gene expression via genomic DNA fragmentation in senescent and cancer cells, Commun Biol 5, 1420 (2022). https://doi.org/10.1038/s42003-022-04369-7

Sho Ozaki, Shizuo Kaji (joint first author), Kanabu Nawa, Toshikazu Imae, Atsushi Aoki, Takahiro Nakamoto, Takeshi Ohta, Yuki Nozawa, Hideomi Yamashita, Akihiro Haga, and Keiichi Nakagawa, Training of deep cross-modality conversion models with a small dataset, and their application in megavoltage CT to kilovoltage CT conversion, Medical Physics (2022), https://doi.org/10.1002/mp.15626

Tomoki Maetani, Naoya Tanabe, Satoru Terada, Yusuke Shiraishi, Hiroshi Shima, Shizuo Kaji, Ryo Sakamoto, Tsuyoshi Oguma, Susumu Sato, Izuru Masuda, and Toyohiro Hirai, Physiological impacts of computed tomography airway dysanapsis, fractal dimension and branch count in asymptomatic never smokers, J Appl Physiol, (2022) https://doi.org/10.1152/japplphysiol.00385.2022

Hiroshi Shima, Naoya Tanabe, Akira Oguma, Kaoruko Shimizu, Shizuo Kaji, Masaru Suzuki, Susumu Sato, Kunihiko Terada, Tsuyoshi Oguma, Takeshi Kubo, Hironi Makita, Atsuyasu Sato, Masaharu Nishimura, Satoshi Konno, and Toyohiro Hirai, Subtyping emphysematous COPD by respiratory volume change distributions on CT, Thorax (2022), http://dx.doi.org/10.1136/thoraxjnl-2021-218288

Hiroaki Bando, Shizuo Kaji, Takaharu Yaguchi, Causal inference for empirical dynamical systems based on persistent homology, JSIAM Letters 14 (2022), 69--72, https://doi.org/10.14495/jsiaml.14.69, JSIAM Letters Best Paper Award 2023

Naoya Tanabe,  Shizuo Kaji (equal contribution), Hiroshi Shima, Yusuke Shiraishi, Tomoki Maetani, Tsuyoshi Oguma,  Susumu Sato, and Toyohiro Hirai, Kernel conversion for robust quantitative measurements of archived chest computed tomography using deep learning-based image-to-image translation, Front. Artif. Intell. 17 (2022), doi: 10.3389/frai.2021.769557

Ho Kyoung Ko, Suyoung Choi, and Shizuo Kaji(corresponding), Who has given up on mathematics? A data analysis, Asia Pacific Education Review 22 (2021), 699--714, https://doi.org/10.1007/s12564-021-09709-6

Naoya Tanabe, Shizuo Kaji (equal contribution), Susumu Sato, Tomoo Yokoyama, Tsuyoshi Oguma, Kiminobu Tanizawa, Tomohiro Handa, Takashi Sakajo, and Toyohiro Hirai, A homological approach to a mathematical definition of pulmonary fibrosis and emphysema on computed tomography, J Appl Physiol, vol 131-2, (2021), 601--612, doi:10.1152/japplphysiol.00150.2021

Mohamed A. Abdelwahab, Shizuo Kaji(corresponding), Maiya Hori, Shigeru Takano, Yutaka Arakawa, and Rin-ichiro Taniguchi, Measuring “Nigiwai” from Pedestrian Movement, IEEE Access, vol 9 (2021), 24859--24871, https://doi.org/10.1109/ACCESS.2021.3056698, [Code], the 37 Telecommunications Advancement Foundation Award for Interdisciplinary Research.

Jinichi Mori, Shizuo Kaji, Hiroki Kawai, Satoshi Kida, Masaharu Tsubokura, Masahiko Fukatsu, Kayo Harada, Hideyoshi Noji, Takayuki Ikezoe, Tomoya Maeda, and Akira Matsuda, Assessment of dysplasia in bone marrow smear with convolutional neural networks, Sci Rep 10, 14734 (2020), https://doi.org/10.1038/s41598-020-71752-x, [Code]

Tomohiro Hayakawa, Tomoya Kamimura, Shizuo Kaji, Fumitoshi Matsuno, Autonomous distributed system for gait generation for single-legged modular robots connected in various configurations, IEEE Transactions on Robotics Vol. 36-5 (2020), 1491--1510.  https://doi.org/10.1109/TRO.2020.2992983 (presented also at the 2021 IEEE International Conference on Robotics and Automation (ICRA))

Satoshi Kida, Shizuo Kaji (joint first author), Kanabu Nawa, Toshikazu Imae, Takahiro Nakamoto, Sho Ozaki, Takeshi Ohta, Yuki Nozawa, and Keiichi Nakagawa, Visual enhancement of Cone-beam CT by use of CycleGAN, Medical Physics, 47-3 (2020), 998--1010, selected as Editor's Choice, https://doi.org/10.1002/mp.13963  [arXiv:1901.05773] [Code]

Shizuo Kaji, Shintarô Kuroki, Eunjeong Lee, Dong Youp Suh, Flag Bott manifolds of general Lie type and their equivariant cohomology rings, Homology, Homotopy and Applications, Vol. 20, No. 1 (2020), pp 375--390. http://dx.doi.org/10.4310/HHA.2020.v22.n1.a21   [arXiv:1905.00303]

Shizuo Kaji and Satoshi Kida (joint first author), Overview of image-to-image translation by use of deep neural networks: denoising, super-resolution, modality conversion, and reconstruction in  medical imaging, Radiological Physics and Technology,  Volume 12, Issue 3 (2019), pp 235--248. https://doi.org/10.1007/s12194-019-00520-y [arXiv:1905.08603], [Code], Most Citation Award 2021.

S. Kaji, Representing a point and the diagonal as zero loci in flag manifolds, Algebraic & Geometric Topology, Volume 19, Number 4 (2019), 2061--2075, https://doi.org/10.2140/agt.2019.19.2061  [arXiv:1807.09375]

A. Derouet-Jourdan, S. Kaji(corresponding), and Y. Mizoguchi, A linear algorithm for Brick Wang tiling, Japan Journal of Industrial and Applied Mathematics, Volume 36, Issue 3 (2019), pp 749--761. https://doi.org/10.1007/s13160-019-00369-z   [arXiv:1603.04292], [Code]

Suyoung Choi, Shizuo Kaji, and Hanchul Park, The cohomology groups of real toric varieties associated to Weyl chambers of type C and D, Proceedings of the Edinburgh Mathematical Society, Volume 62, Issue 3, pp. 861--874, 2019.  https://doi.org/10.1017/S001309151800086X  [arXiv:1705.00275]

Soojin Cho, Suyoung Choi, and Shizuo Kaji, Geometric representations of finite groups on real toric spaces, J. Korean Math. Soc. 56 (2019), No. 5, pp. 1265--1283, https://doi.org/10.4134/JKMS.j180646   [arXiv:1704.08591], The Korean Federation of Science and Technology Societies selected this paper as the best paper in the field of mathematics published in Korea in 2019. [Code]

S. Kaji, T. Maeno, K. Nuida, and Y. Numata, Polynomial expressions of p-ary auction functions, Journal of Mathematical Cryptology,  Volume 13, Issue 2, Pages 69–80,  2019. https://doi.org/10.1515/jmc-2018-0016   [arXiv:1703.07930]

S. Kaji, and S. Theriault, Suspension splittings and self-maps of flag manifolds, Acta Mathematica Sinica, English Series, Vol. 35, No. 4, pp. 445-–462 (2019), https://doi.org/10.1007/s10114-019-8051-z  [arXiv:1802.01809] [Code]

A. Fauré and S. Kaji, A circuit-preserving mapping from multilevel to Boolean dynamics, J. Theoretical Biology, Volume 440 (7), pp. 71--79 (2018), https://doi.org/10.1016/j.jtbi.2017.12.013   [arXiv:1703.08934]  [poster] [Code]

N. D. Turgay and S. Kaji, The mod 2 dual Steenrod algebra as a subalgebra of the mod 2 dual Leibniz-Hopf algebra, Journal of Homotopy and Related Structures,  Volume 12, Issue 3, pp. 727--739 (2017), doi:10.1007/s40062-016-0163-x [arXiv:1505.05465] [slides] [Code]

Shizuo Kaji, Michihiro Sakai, Stephen Theriault, Counting the number of homotopy associative multiplications on certain H-spaces, Topology and its Applications vol.214, 137--149 (2016). http://doi.org/10.1016/j.topol.2016.10.008

S. Kaji and H. Ochiai, A concise parametrization of affine transformation, SIAM J. Imaging Sci., 9(3), 1355--1373 (2016), https://doi.org/10.1137/16M1056936  [arXiv:1507.05290], [Code]

Shizuo KAJI, Akihiro Ohsita, and Stephen Theriault, Mod p decompositions of the loop spaces of compact symmetric spaces, Algebraic & Geometric Topology, vol.15, 1771--1811, 2015, DOI: 10.2140/agt.2015.15.1771. [arXiv:1409.7958]  [slides]

Shizuo KAJI, Weyl group symmetry on the GKM graph of a GKM manifold with an extended Lie group action, Osaka J. Math. vol.52, no.1, 31--43, 2015.

Koji Nuida, Takuro Abe, Shizuo Kaji, Toshiaki Maeno, Yasuhide Numata, A mathematical problem for security analysis of hash functions and pseudorandom generators, International Journal of Foundations of Computer Science, vol.26, no.2, 169--194, 2015. DOI: 10.1142/s0129054115500100, [arXiv:1206.0069]

• (Early conference version appears in Proceedings of IWSEC 2011 (International Workshop on Security 2011), Lecture Notes in Computer Science 7038, November 2011, pp.144--160, . DOI: 10.1007/978-3-642-25141-2_10)

Shizuo Kaji and Daisuke Kishimoto, Homotopy nilpotency in $p$-regular loop spaces, Mathematische Zeitschrift, vol.264, no.1, 209--224, 2010. [PDF file]  , DOI: 10.1007/s00209-008-0459-6

•  early versions: "Homotopy Nilpotency in $p$-compact groups" arXiv:math.AT/0710.3975, "Homotopy Nilpotency in Localized Groups", available in the Kyoto University Preprint Series

Hiroaki Hamanaka, Shizuo Kaji, and Akira Kono, Samelson products in $Sp(2)$, Topology and its Applications, vol.155, 1207--1212, 2008. https://doi.org/10.1016/j.topol.2008.02.008 ,  [PDF file]

Shizuo Kaji, Mod 2 cohomology of 2-compact groups of low rank, Journal of Mathematics of Kyoto University, vol.47, no.2, 441--450, 2007.

• I am very sorry but I made a lot of serious mistakes in the printed version above. A revised version is available at arXiv:math.AT/0710.5926 with the title "Mod 2 cohomology of 2-local finite groups of low rank". I would like to sincerely apologize for that.

Shizuo Kaji, Low rank cohomology of the classifying spaces of gauge groups over 3-manifolds, Publications of the Research Institute for Mathematical Sciences., vol.42, no. 2, pp.581--587, 2006. [PDF file]

Shizuo Kaji, On the nilpotency of rational $H$-spaces, Journal of the Mathematical Society of Japan, vol.57, no. 4, pp.1153--1165, 2005. [PDF file]

Shizuo Kaji, Kenji Kajiwara, Hyeongki Park, Linkage Mechanisms Governed by Integrable Deformations of Discrete Space Curves, Nonlinear Systems and Their Remarkable Mathematical Structures. Volume 2, pp 356--381, CRC Press, 2019, https://doi.org/10.1201/9780429263743   [arXiv:1903.06360] [Code]

S. Kaji, A. Derouet-Jourdan, and H. Ochiai, Dappled tiling, Mathematical Insights into Advanced Computer Graphics Techniques, pp. 59--72, Springer Singapore, 2019. DOI: 10.1007/978-981-13-2850-3 [Code]

• (Early conference version appears in the Proceedings of MEIS2016)  [arXiv:1607.06138]

S. Kaji, Tetrisation of triangular meshes and its application in shape blending, Mathematical Progress in Expressive Image Synthesis III, pp. 7--19, Springer-Singapore, 2016. DOI: 10.1007/978-981-10-1076-7_2    [arXiv:1601.04816] [Code]

• (Early conference version appears in Proceedings of MEIS2015, MI Lecture Notes Vol.64, pp.33 -- 42, 2015)

S. Kaji and G. Liu, Probe-type deformers, Mathematical Progress in Expressive Image Synthesis II, pp. 63--77. Springer-Japan, 2015. DOI: 10.1007/978-4-431-55483-7_6 [video] [Code]

• (Early conference version appears in Proceedings of MEIS2014, MI Lecture Notes Vol.58, pp. 26 -- 35, 2014)

G. Matsuda, S. Kaji, and H. Ochiai, Anti-commutative Dual Complex Numbers and 2D Rigid Transformation, Mathematical Progress in Expressive Image Synthesis I, pp. 131--138, Springer-Japan, 2014. DOI: 10.1007/978-4-431-55007-5_17  [arXiv:1601.01754] [Code]

• (Early conference version appears in Proceedings of MEIS2013, MI Lecture Notes Vol.50, pp. 128--133, 2013)

Kodai Takenaga and Shizuo Kaji, Alexandrov Puzzle, Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture, Pages 371--374, 2022

Hideki Todo, Kunihiko Kobayashi, Jin Katsuragi, Haruna Shimotahira, Shizuo Kaji, and Yonghao Yue, Stroke Transfer: Example-based Synthesis of Animatable Stroke Styles, Proceedings of ACM SIGGRAPH 2022, Article No.54, pp 1--10, https://doi.org/10.1145/3528233.3530703, 2022

Nariaki Tateiwa, Yuji Shinano, Keiichiro Yamamura, Akihiro Yoshida, Shizuo Kaji, Masaya Yasuda, Katsuki Fujisawa,  CMAP-LAP: Configurable Massively Parallel Solver for Lattice Problems, Proceedings of the 28th edition of the IEEE International Conference on High Performance Computing, Data, and Analytics (HiPC 2021), [preprint, ZIB-report]

Shizuo Kaji, Akira Horiguchi, Takuro Abe, Yohsuke Watanabe, A Hyper-surface Arrangement Model of Ranking Distributions, KDD '21: Proceedings of the 27th ACM SIGKDD Conference on Knowledge Discovery & Data Mining, 796--804, 2021, https://doi.org/10.1145/3447548.3467253, [code]

Nariaki Tateiwa, Yuji Shinano, Satoshi Nakamura, Akihiro Yoshida, Shizuo Kaji, Masaya Yasuda, Katsuki Fujisawa, Massive Parallelization for Finding Shortest Lattice Vectors Based on Ubiquity Generator Framework, Proceedings of the International Conference for High Performance Computing, Networking, Storage, and Analysis (SC20) (SC20), 2020 Vol. 1, 834--848, DOI: 10.1109/SC41405.2020.00064

Nozomi Hata, Shizuo Kaji (equal contribution), Akihiro Yoshida, and Katsuki Fujisawa, Nested Subspace Arrangement for Representation of Relational Data, Proceedings of the thirty-seventh International Conference on Machine Learning (ICML2020), PMLR vol. 119, 4127--4137, [arXiv:2007.02007] [Code]

K. Matsumoto, N. Ogawa, H. Inou, S. Kaji, Y. Ishii, and M. Hirose, Polyvision: 4D Space Manipulation through Multiple Projections, SIGGRAPH Asia 2019 Emerging Technologies, pp 36--37, 2019. DOI: 10.1145/3355049.3360518   [Video] 

S. Choi, S. Kaji, and S. Theriault, Homotopy decomposition of a suspended real toric space, the special volume of the Boletín de la Sociedad Matemática Mexicana dedicated to Sam Gitler, Volume 23, Issue 1, pp 153--161, April 2017.  DOI: 10.1007/s40590-016-0090-1   [arXiv:1503.07788]

S. Kaji, Three presentations of torus equivariant cohomology of flag manifolds, Perspectives and Developments in Mathematics, Proceedings of the International Mathematics Conference in honour of the 70th Birthday of Professor S. A. Ilori, National Mathematics Centre Abuja, Nigeria, pp. 37 -- 54, 2015. ISBN: 978-8141-26-9 [arXiv:1504.01091] [Code]

S. Kaji, S. Hirose, S. Sakata, Y. Mizoguchi, and K. Anjyo,  Mathematical Analysis on Affine Maps for 2D Shape Interpolation, Proceedings of SCA2012 (ACM SIGGRAPH/Eurographics Symposium on Computer Animation 2012), pp. 71--76. https://doi.org/10.2312/SCA/SCA12/071-076  [Video] 

S. Kaji, Equivariant Schubert calculus of Coxeter groups, Proceedings of The International Conference "GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS" dedicated to the 120th anniversary of Boris Delone, Proc. Stekelov. Inst. Math, vol 275, 239--250. 2011. https://doi.org/10.1134/S0081543811080177 , [PDF file]

S. Kaji, Schubert calculus, seen from torus equivariant topology, Proceedings of KAIST Toric Topology Workshop 2010,  Trends in Mathematics - New Series, Volume 12, no.1, 71--89, 2010. [PDF file]

Shinto Teramoto, Shizuo Kaji, Shota Osada, The Internal Network Structure that Affects Firewall Vulnerability, The Law and Ethics of Data Sharing in Health Sciences, Springer Singapore, pp. 173--198,   3 January 2024, https://doi.org/10.1007/978-981-99-6540-3

S. Kaji, S. Hirose, H. Ochiai, and K. Anjyo,  A Lie Theoretic Parameterization of Affine Transformation, Proceedings of MEIS2013 (Mathematical Progress in Expressive Image Synthesis 2013), MI Lecture Notes Vol.50, pp. 134--140.

S. Kaji, A closed linkage mechanism having the shape of a discrete Mobius strip,  translated from a Japanese article in the Symposium Proceedings of the 2018 Spring meeting of the Japan Society for Precision Engineering, [arXiv:1909.02885]

(in Japanese) Toshikazu Imae, Shizuo Kaji, Satoshi Kida, Kanako Matsuda, Shigeharu Takenaka, Atsushi Aoki, Takahiro Nakamoto, Sho Ozaki, Kanabu Nawa, Hideomi Yamashita, Keiichi Nakagawa, and Osamu Abe, Improvement in Image Quality of CBCT during Treatment by Cycle Generative Adversarial Network (サイクル敵対的生成ネットワークを用いた 治療中 CBCT 画像の画質改善), 日本放射線技術学会雑誌, Vol. 76(11), 1173-1184, 2020, DOI: 10.6009/jjrt.2020_JSRT_76.11.1173

(in Korean) Ho Kyoung Ko, Hyung Won Kim, Shizuo Kaji, Suyoung Choi, Elementary school students who give up on learning mathematics: Correlations with non-cognitive learner characteristics, J. Korea Soc. Math. Ed. Ser. C, 20 (2017), No. 2, 143--151,  https://doi.org/10.7468/jksmec.2017.20.2.143

(in Japanese) 鍛冶 静雄, 環状リンク機構・メッシュ曲面の離散微分幾何学, 日本ロボット学会誌, 41 巻 6 号,  p. 536--540, 2023, DOI: https://doi.org/10.7210/jrsj.41.536

(in Japanese) 鍛冶 静雄, エレガントな解答をもとむ, 日本評論社 数学セミナー, 2023年3月号(出題), 2023年6月号(解答)

(in Japanese) 鍛冶 静雄, 書評 技術評論社, 巴山竜来 著「リアルタイムグラフィックスの数学 -- GLSLではじめるシェーダプログラミング」, 数理科学2023年2月号

(in Japanese) 鍛冶 静雄, エレガントな解答をもとむ, 日本評論社 数学セミナー, 2021年11月号(出題), 2022年2月号(解答)

(in Japanese) 鍛冶静雄, かたちを算する, 数学セミナー連載, 日本評論社, 2020年4月--2021年3月

(in Japanese) 鍛冶 静雄, 木田 智士, 藤田 広志, 論文紹介: 最近の RPT 誌レビュー論文から, 日本放射線技術学会雑誌, 76(11), 1207--1210, 2020. https://doi.org/10.6009/jjrt.2020_JSRT_76.11.1207

(in Japanese) 立岩 斉明, 品野 勇治, 吉田 明広, 鍛冶 静雄, 安田 雅哉, 藤澤 克樹, 最短格子ベクトル問題求解における Ubiquity Generator Framework を用いた大規模 MPI 並列化, 研究報告 ハイパフォーマンスコンピューティング(HPC), 情報処理学会, 2020-HPC-176(1), 1--10, 2020

(in Japanese) 鍛冶静雄, 数理のクロスロード／かたちと動きの数理基盤／(2) デザインの数学, 数学セミナー 2019年7月号, 日本評論社, 2019

1. 日本評論社のご厚意で、版権のある図版を除き軽微な修正を加えた著者原稿を、上のリンクにて公開しています。

(in Japanese) 鍛冶静雄, 数理のクロスロード／かたちと動きの数理基盤／(1) リンク万華鏡, 数学セミナー 2019年6月号, 日本評論社, 2019

1. 日本評論社のご厚意で、版権のある図版を除き軽微な修正を加えた著者原稿を、上のリンクにて公開しています。

(in Japanese) 木田智士,鍛冶静雄,今江禄一,名和要武,中川恵一, 芳賀昭弘, 敵対的生成ネットワーク（GAN）の放射線治療への応用, Rad Fan Vol.16 No.12 (放射線治療情報BOOK2018), 2018

(in Japanese) S. Kaji, 同変ループ積について, 日本数学会2018年度秋季総合分科会予稿集 (トポロジー分科会 特別講演), 2018

(in Japanese) Tomohiro Hayakawa, Shizuo Kaij, Fumitoshi Matsuno, Autonomous distributed  for gait generation of single-leg modular robots connecting into various leg , 第62回システム制御情報学会研究発表講演会(SCI'18)講演論文集, 2018

(in Japanese) 鍛冶静雄, 曲線の幾何学から生まれた閉リンク機構, 2018年度精密工学会春季大会 シンポジウム資料集, pp. 62--65.

1. (English translation) A closed linkage mechanism having the shape of a discrete Mobius strip, [arXiv:1909.02885]

(in Japanese) 縫田 光司, 阿部 拓郎, 鍛冶 静雄, 沼田 泰英, 前野 俊昭, パラメータ固定ハッシュ関数の理論的安全性評価に関する一考察 -- 関数の近似可能性の観点から --, コンピュータセキュリティシンポジウム2011(CSS2011)予稿集, 情報処理学会 (CD-ROM), 2011

(in Japanese) S. Kaji, リー群のトポロジーから見るシューベルトカリキュラス, 第56回トポロジーシンポジウム予稿集, 2009

(in Japanese) S. Kaji, T.Matsuoka, and S.Oguni, Twisted K-Theory and projective representations, 城崎新人セミナー報告集2008

(in Japanese) M. Honda, S. Kaji, S. Oguni, and A. Tanida, Probabilistic proof of the Atiyah-Singer's index theorem, 城崎新人セミナー報告集2007

(in Japanese) S. Kaji, Cohomology of the homotopy pullbacks, 城崎新人セミナー報告集2006

(in Japanese) S. Kaji, Homotopy types of certain mapping spaces, 城崎新人セミナー報告集2005

(in Japanese) S. Kaji, Introduction to rational homotopy theory, 城崎新人セミナー報告集2004

Matias de Jong van Lier, Sebastián Elías Graiff Zurita, Shizuo Kaji, Topological filtering of a signal over a network, arXiv:2408:14109

Sho Ozaki, Shizuo Kaji, Toshikazu Imae, Kanabu Nawa, Hideomi Yamashita, Keiichi Nakagawa, Iterative CT Reconstruction via Latent Variable Optimization of Shallow Diffusion Models, arXiv:2408.03156

Shizuo Kaji, Kenji Kajiwara, Shota Shigetomi, An explicit construction of Kaleidocycles, arXiv:2308.04977

Yoshiaki Uchida, Shizuo Kaji, and Naoto Nakano (all three have equally contributed), Chemical-Data-Driven Validation of Physical Theories of Liquid Crystals, https://doi.org/10.21203/rs.3.rs-1599774/v1

Shizuo Kaji and Yohsuke Watanabe, Learning Visual Representation with Synthetic Images and Topologically-defined Labels, [Code]

Shizuo Kaji, Takeki Sudo, and Kazushi Ahara, Cubical Ripser: Software for computing persistent homology of image and volume data, arXiv:2005.12692 [Code]

S. Kaji, T. Maeno, K. Nuida, and Y. Numata, Polynomial Expressions of Carries in p-ary Arithmetics, arXiv:1506.02742

S. Kaji and H. Tene, Products in Equivariant Homology, arXiv:1506.00441

S. Kaji and P. Pragacz, On diagonals of flag bundles, arXiv:1503.03217

S. Kaji and M. Nakagawa, The Chow rings of the algebraic groups $E_6, E_7$ and $E_8$, arXiv:math.AT/0709.3702, [Code]

S. Kaji, Mod 2 cohomology of 2-local finite groups of low rank, arXiv:math.AT/0710.5926
This is a heavily revised version of the paper "Mod 2 cohomology of 2-compact groups of low rank".

S. Kaji and A. Kono, Mod 2 cohomology of BLPSp(2m + 1)

Shizuo Kaji, Johannes Schoenke, Eliot Fried, Michael Grunwald, Moebius Kaleidocycle, 特許7261490, 12 Apr. 2023, (特願2018-033395(Japan), PCT/JP2019/007314(PCT), 特願2020-503522(PCT=>JP), WO 2019167941, filed on 27 Feb. 2018) 
The contents of the patent are also published in

• Johannes Schönke and Eliot Fried, Single degree of freedom everting ring linkages with nonorientable topology, PNAS 116 (1) 90--95, 2019. https://doi.org/10.1073/pnas.1809796115

Shizuo Kaji, Mohamed A. Abdelwahab, Maiya Hori, Shigeru Takano, Yutaka Arakawa, "人流評価装置、人流評価方法、及び人流評価プログラム", 特許第7050356号, 31 Mar. 2022, (特願2020-204436, filed on 9 Dec. 2020).
The contents of the patent are also published in

• Mohamed A. Abdelwahab, Shizuo Kaji(corresponding), Maiya Hori, Shigeru Takano, Yutaka Arakawa, and Rin-ichiro Taniguchi, Measuring “Nigiwai” from Pedestrian Movement, IEEE Access, vol 9 (2021), 24859--24871

Shizuo Kaji, Hyeongki Park, Maiya Hori, and Shigeru Takano, "歩行者の行動評価装置、歩行者の行動評価方法、及び、歩行者の行動評価プログラム", 特許第7099771号, 4 Jul. 2022, (特願2021-200374, filed on 9 Dec. 2021)

池祐一，E.G. エスカラ，大林一平，鍛冶静雄，位相的データ解析から構造発見へ -- パーシステントホモロジーを中心に，AI/データサイエンス ライブラリ “基礎から応用へ”  4，サイエンス社，ISBN: 978-4-7819-1580-7，2023年9月