Zobrazeno 1 - 10
of 519
pro vyhledávání: '"Emerson, G. A."'
Autor:
Escolar, Emerson G., Kim, Woojin
The persistence barcode (equivalently, the persistence diagram), which can be obtained from the interval decomposition of a persistence module, plays a pivotal role in applications of persistent homology. For multi-parameter persistent homology, whic
Externí odkaz:
http://arxiv.org/abs/2412.04995
In recent years, the use of data-driven methods has provided insights into underlying patterns and principles behind culinary recipes. In this exploratory work, we introduce the use of topological data analysis, especially persistent homology, in ord
Externí odkaz:
http://arxiv.org/abs/2406.09445
In persistent homology analysis, interval modules play a central role in describing the birth and death of topological features across a filtration. In this work, we extend this setting, and propose the use of bipath persistent homology, which can be
Externí odkaz:
http://arxiv.org/abs/2404.02536
Autor:
Emerson G. Gaylan, Suzette T. Elladora, John Kenneth B. Taneo, Collenn H. Callanga, Manilyn Piloton-Narca, Jonavie Becbec, Joje Mar P Sanchez
Publikováno v:
JPBI (Jurnal Pendidikan Biologi Indonesia), Vol 10, Iss 3, Pp 909-919 (2024)
Current biology assessments often lack a strong emphasis on conceptual understanding, which may limit students' ability to apply knowledge in real-world contexts. This study aimed to develop and validate a concept test to assess high school student's
Externí odkaz:
https://doaj.org/article/af08e3846d3545af9489efe48378460f
Recently, there is growing interest in the use of relative homology algebra to develop invariants using interval covers and interval resolutions (i.e., right minimal approximations and resolutions relative to interval-decomposable modules) for multi-
Externí odkaz:
http://arxiv.org/abs/2308.14979
Publikováno v:
Journal of Pure and Applied Algebra, Vol 227, no.10 (2023): 107397
In topological data analysis, two-parameter persistence can be studied using the representation theory of the 2d commutative grid, the tensor product of two Dynkin quivers of type A. In a previous work, we defined interval approximations using restri
Externí odkaz:
http://arxiv.org/abs/2207.03663
Autor:
Moraes, Flavio, de Aguiar, Gabriel H. M., de Melo, Emerson G., Wiederhecker, Gustavo S., Alegre, Thiago P. Mayer
Due to recent development of growing and processing techniques for high-quality single crystal diamond, the large scale production of diamond optomechanical crystal cavities becomes feasible, enabling optomechanical devices that can operate in higher
Externí odkaz:
http://arxiv.org/abs/2207.00951
Single solid-state quantum emitters offer considerable potential for the implementation of sources of indistinguishable single-photons, which are central to many photonic quantum information systems. Nanophotonic geometry optimization with multiple p
Externí odkaz:
http://arxiv.org/abs/2206.01043
Autor:
Domalanta, Marcel Roy B., Ferdousi, Sanjida, Delas Armas, Emerson G., Jiang, Yijie, Caldona, Eugene B.
Publikováno v:
In Chemical Engineering Journal 1 August 2024 493
Autor:
Buchet, Mickaël, Escolar, Emerson G.
Multidimensional persistence has been proposed to study the persistence of topological features in data indexed by multiple parameters. In this work, we further explore its algebraic complications from the point of view of higher dimensional indecomp
Externí odkaz:
http://arxiv.org/abs/2012.02467