PAPERS

PUBLISHED

Y. Asao, Y. Hiraoka and S. Kanazawa, Girth, magnitude homology, and phase transition of diagonality, (2021) to appear in Proceedings of the Royal Society of Edinburgh Section A, arXiv:2101.09044

Y. Asao, Magnitude homology and path homology,  Bulletin of the London Mathematical Society, 55-1 (2023), 375-398, arXiv:2201.08047. 

Y. Asao and K. Izumihara, Geometric approach to graph magnitude homology, Homology, Homotopy and Applications 23 ( 2021 ), no. 1, 297-310, arXiv:2003.08058

Y. Asao, Magnitude homology of geodesic metric spaces with an upper curvature bound, Algebraic and Geometric Topology 21 ( 2021 ), no. 2,  647–664, arXiv:1903.11794

Y. Asao and R.Sakamoto, On a Probabilistic Phase Transition Phenomenon of "Photogenicity" of Images, Research Letter on Mathematical Sciences Practice ( In Japanese ), 2019, LMSR2019-8

Y. Asao, Loop homology of some global quotient orbifolds, Algebraic and Geometric Topology 18 (2018), no. 1, 613 - 633, arXiv:1702.02710

Y. Asao, E. Demaine, M. Demaine, H. Hosaka, A. Kawamura, T. Tachi and K.  Takahashi, Folding and Punching Paper, Journal of Information Processing, 25, 590-600, 2017

PREPRINTS

Y. Asao and S. O. Ivanov, Magnitude homology is a derived functor, preprint (2024), arXiv:2402.14466

Y. Asao, Classification of metric fibrations, preprint (2023), arXiv:2307.04387

Y. Asao, Magnitude and magnitude homology of filtered sets enriched categories, preprint(2023), arXiv:2303.05677

Y. Asao and Y. Ike, Curvature of point clouds through principal component analysis, preprint (2021), arXiv:2106.09972

Y. Asao, J. Nagase, R. Sakamoto and S. Takagi, Image recognition via Vietoris-Rips complex, preprint (2021), arXiv:2109.02231

PROCEEDINGS

Y. Asao, J. Nagase and R. Sakamoto, On a Vietoris-Rips Complex and Its Persistent Homology, which Extracts Complexity of Images, The 34th Annual Conference of the Japanese Society for Artificial Intelligence, 2020, 4B2GS103-4B2GS103

Y. Asao and R. Sakamoto, On a Mathematical approach to ``Photo-likeness'' of Images, The 33th Annual Conference of the Japanese Society for Artificial Intelligence, 2019, 3K3J205- 3K3J205