Results 71 to 80 of about 1,143,028 (268)

Persistent homology of collider observations: When (w)hole matters

Physics Letters B, 2023
Topological invariants have played a fundamental role in the advancement of theoretical high energy physics. Physicists have used several kinematic techniques to distinguish new physics predictions from the Standard Model (SM) of particle physics at ...
Jyotiranjan Beuria
doaj   +1 more source

BPS Spectra, Barcodes and Walls [PDF]

, 2019
BPS spectra give important insights into the non-perturbative regimes of supersymmetric theories. Often from the study of BPS states one can infer properties of the geometrical or algebraic structures underlying such theories.
Cirafici, Michele
core   +4 more sources

Multiparameter persistent homology landscapes identify immune cell spatial patterns in tumors

Proceedings of the National Academy of Sciences of the United States of America, 2021
Significance Quantifying and comparing complex spatial biological datasets is crucial for medical applications and remains an active area of research. As datasets become more heterogeneous and complicated, so must the methods that are used to understand ...
Oliver Vipond, J. Bull, P. Macklin, U. Tillmann, C. Pugh, H. Byrne, H. Harrington   +6 more
semanticscholar   +1 more source

Harmonic Persistent Homology

SIAM Journal on Applied Algebra and Geometry
Final ...
Saugata Basu, Nathanael Cox
openaire   +2 more sources

Approximating Local Homology from Samples [PDF]

, 2013
Recently, multi-scale notions of local homology (a variant of persistent homology) have been used to study the local structure of spaces around a given point from a point cloud sample.
Skraba, Primoz, Wang, Bei
core   +3 more sources

Parametrized homology via zigzag persistence [PDF]

Algebraic & Geometric Topology, 2019
This paper develops the idea of homology for 1-parameter families of topological spaces. We express parametrized homology as a collection of real intervals with each corresponding to a homological feature supported over that interval or, equivalently, as a persistence diagram.
Carlsson, Gunnar, de Silva, Vin, Kališnik, Sara, Morozov, Dmitriy   +3 more
openaire   +5 more sources

Implementation of Persistent Homology in Survival Analysis for Correlated and Longitudinal Data: A case study of COVID-19 Spread in Indonesia [PDF]

ITM Web of Conferences
Most survival models assume no autocorrelation between objects and time-independence. However, in many cases of disease spread, an object can potentially affect its neighbors, and the feature may change over time.
Amartiwi Utih, Kholodov Yaroslav A.
doaj   +1 more source

Topological Regularization for Representation Learning via Persistent Homology

Mathematics, 2023
Generalization is challenging in small-sample-size regimes with over-parameterized deep neural networks, and a better representation is generally beneficial for generalization.
Muyi Chen, Daling Wang, Shi Feng, Yifei Zhang   +3 more
doaj   +1 more source

A Survey on the High-Performance Computation of Persistent Homology

IEEE Transactions on Knowledge and Data Engineering, 2023
Persistent Homology is a computational method of data mining in the field of Topological Data Analysis. Large-scale data analysis with persistent homology is computationally expensive and memory intensive.
Nicholas O. Malott, Shang Chen, P. Wilsey   +2 more
semanticscholar   +1 more source

Quantum persistent homology

Journal of Applied and Computational Topology
17 pages, 4 ...
Bernardo Ameneyro, Vasileios Maroulas, George Siopsis   +2 more
openaire   +3 more sources