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Emerson G. Escolar
Emerson G. Escolar
Kobe University, Graduate School of Human Development and Environment
Verified email at people.kobe-u.ac.jp - Homepage
Title
Cited by
Cited by
Year
Hierarchical structures of amorphous solids characterized by persistent homology
Y Hiraoka, T Nakamura, A Hirata, EG Escolar, K Matsue, Y Nishiura
Proceedings of the National Academy of Sciences 113 (26), 7035-7040, 2016
3832016
Persistent homology and many-body atomic structure for medium-range order in the glass
T Nakamura, Y Hiraoka, A Hirata, EG Escolar, Y Nishiura
Nanotechnology 26 (30), 304001, 2015
1352015
Persistence modules on commutative ladders of finite type
EG Escolar, Y Hiraoka
Discrete & Computational Geometry 55, 100-157, 2016
772016
On interval decomposability of 2D persistence modules
H Asashiba, M Buchet, EG Escolar, K Nakashima, M Yoshiwaki
Computational Geometry 105, 101879, 2022
34*2022
On Approximation of D Persistence Modules by Interval-decomposables
H Asashiba, EG Escolar, K Nakashima, M Yoshiwaki
arXiv preprint arXiv:1911.01637, 2019
33*2019
Realizations of indecomposable persistence modules of arbitrarily large dimensions
M Buchet, E Escolar
Journal of Computational Geometry 13 (1), 298–326-298–326, 2022
31*2022
Optimal cycles for persistent homology via linear programming
EG Escolar, Y Hiraoka
Optimization in the Real World: Toward Solving Real-World Optimization†…, 2016
312016
Approximation by interval-decomposables and interval resolutions of persistence modules
H Asashiba, EG Escolar, K Nakashima, M Yoshiwaki
Journal of Pure and Applied Algebra 227 (10), 107397, 2023
172023
Every 1D persistence module is a restriction of some indecomposable 2D persistence module
M Buchet, EG Escolar
Journal of Applied and Computational Topology 4 (3), 387-424, 2020
162020
Matrix method for persistence modules on commutative ladders of finite type
H Asashiba, EG Escolar, Y Hiraoka, H Takeuchi
Japan Journal of Industrial and Applied Mathematics 36, 97-130, 2019
142019
Resolution of the curse of dimensionality in single-cell RNA sequencing data analysis
Y Imoto, T Nakamura, EG Escolar, M Yoshiwaki, Y Kojima, Y Yabuta, ...
Life Science Alliance 5 (12), 2022
132022
Description of medium-range order in amorphous structures by persistent homology
T Nakamura, Y Hiraoka, A Hirata, EG Escolar, K Matsue, Y Nishiura
arXiv preprint arXiv:1501.03611, 2015
132015
Mapping firms’ locations in technological space: A topological analysis of patent statistics
EG Escolar, Y Hiraoka, M Igami, Y Ozcan
Research Policy 52 (8), 104821, 2023
122023
Computing persistence modules on commutative ladders of finite type
EG Escolar, Y Hiraoka
International Congress on Mathematical Software, 144-151, 2014
62014
Morse reduction for zigzag complexes
E Escolar, Y Hiraoka
Journal of the Indonesian Mathematical Society, 47-75, 2014
62014
Computing optimal cycles of homology groups
EG Escolar, Y Hiraoka
A Mathematical Approach to Research Problems of Science and Technology†…, 2014
52014
Interleavings and matchings as representations
EG Escolar, K Meehan, M Yoshiwaki
Applicable Algebra in Engineering, Communication and Computing 34 (6), 965-993, 2023
12023
Summand-injectivity of interval covers and monotonicity of interval resolution global dimensions
T Aoki, EG Escolar, S Tada
arXiv preprint arXiv:2308.14979, 2023
12023
The Whole in the Parts: Putting D Persistence Modules Inside Indecomposable D Ones
M Buchet, EG Escolar
arXiv preprint arXiv:2012.02467, 2020
12020
Persistence of Common Topological Structures by Commutative Triple Ladder Quiver
EG Escolar, Y Hiraoka
Mathematical Challenges in a New Phase of Materials Science: Kyoto, Japan†…, 2016
12016
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