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- ...e 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing |chapter=Persistence barcodes for shapes |date=2004-07-08 |chapter-url=https://dl.acm.org/doi/10 ...module is intimately linked to the notion of a filtered chain complex. A [[persistence module]] <math>M</math> indexed over <math>\mathbb R</math> consists of a f ...8 KB (1,236 words) - 16:39, 16 February 2024
- ...st=Leonid |url=https://www.worldcat.org/oclc/1142009348 |title=Topological persistence in geometry and analysis |date=2020 |others=Daniel Rosen, Karina Samvelyan, === Single Parameter Persistence Modules === ...22 KB (3,298 words) - 23:36, 3 February 2025
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- {{Short description|Measure of distance between persistence modules}} ...humb|400x400px|A 1-interleaving between two <math>\mathbb Z</math>-indexed persistence modules M and N, represented as a diagram of vector spaces and linear maps ...8 KB (1,152 words) - 17:40, 7 August 2023
- ...e 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing |chapter=Persistence barcodes for shapes |date=2004-07-08 |chapter-url=https://dl.acm.org/doi/10 ...module is intimately linked to the notion of a filtered chain complex. A [[persistence module]] <math>M</math> indexed over <math>\mathbb R</math> consists of a f ...8 KB (1,236 words) - 16:39, 16 February 2024
- ...ccess=free }}</ref> based largely on the [[persistence barcode]]s and the persistence algorithm, that were first described by Serguei Barannikov in the 1994 pape ...], we get a sequence of [[vector space]]s and [[linear map]]s known as a [[persistence module]]. ...10 KB (1,574 words) - 08:48, 24 February 2024
- ...elsbrunner |last2=Letscher |last3=Zomorodian |date=2002 |title=Topological Persistence and Simplification |journal=Discrete & Computational Geometry |language=en ...space|vector spaces]] and [[Linear map|linear maps]] commonly known as a [[persistence module]]. ...6 KB (873 words) - 15:55, 28 October 2023
- ...ill scores]], are nonetheless naive. A [[Weather forecasting#Persistence|"persistence" forecast]] can still rival even those of the most sophisticated models. A ...nge weather prediction. Previous computer models of weather were based on persistence alone and reliable to only 5–7 days into the future. Long range forecastin ...5 KB (705 words) - 17:31, 8 November 2023
- ...irst=Rene |date=2020 |title=Improvements to the Pipeline of Multiparameter Persistence |url=https://diglib.tugraz.at/download.php?id=5f901701ae9f0&location=aleph} ...5 KB (752 words) - 11:55, 21 March 2024
- ...o reach a fixed point is the Meertens function's [[persistence of a number|persistence]] of <math>n</math>, and undefined if it never reaches a fixed point. ...4 KB (632 words) - 01:52, 13 December 2024
- ...st=Leonid |url=https://www.worldcat.org/oclc/1142009348 |title=Topological persistence in geometry and analysis |date=2020 |others=Daniel Rosen, Karina Samvelyan, === Single Parameter Persistence Modules === ...22 KB (3,298 words) - 23:36, 3 February 2025
- ...t |first2=Matthew |date=2015-12-01 |title=Interactive Visualization of 2-D Persistence Modules |class=math.AT |eprint=1512.00180 }}</ref> ...ested [[simplicial complex]]es to a finite data set in order to detect the persistence of [[topological]] features over a range of scale parameters. One way to do ...11 KB (1,550 words) - 17:37, 7 June 2024
- ...efinul | title=Degree distribution, rank-size distribution, and leadership persistence in mediation-driven attachment networks | journal=Physica A: Statistical Me ==Leadership persistence probability== ...13 KB (1,989 words) - 21:47, 29 November 2024
- ...s=free }}</ref><ref>{{cite journal | doi=10.1007/s10711-013-9937-z | title=Persistence stability for geometric complexes | year=2014 | last1=Chazal | first1=Frédé ...hael |date=11 March 2023 |title=Lecture notes for AMAT 840: Multiparameter Persistence |url=https://www.albany.edu/~ML644186/840_2022/Math840_Notes_22.pdf |access ...9 KB (1,303 words) - 13:33, 28 February 2024
- ...19-01-30 |title=SimBa: An Efficient Tool for Approximating Rips-filtration Persistence via Simplicial Batch Collapse |journal=ACM Journal of Experimental Algorith ...dule (mathematics)|<math>R</math>-modules]]). There is a classification of persistence modules over a field <math>F</math> indexed by <math>\mathbb{N}</math>: ...16 KB (2,273 words) - 05:23, 3 February 2025
- ===Node persistence=== ...8 KB (1,274 words) - 19:56, 27 February 2025
- === Lactase persistence === ...d JK, Wray GA, Deloukas P | title = Convergent adaptation of human lactase persistence in Africa and Europe | language = En | journal = Nature Genetics | volume = ...12 KB (1,686 words) - 12:36, 4 April 2024
- ...elsbrunner |last2=Letscher |last3=Zomorodian |date=2002 |title=Topological Persistence and Simplification |journal=Discrete & Computational Geometry |language=en ...nty-fifth annual symposium on Computational geometry |chapter=Proximity of persistence modules and their diagrams |date=2009-06-08 |chapter-url=https://dl.acm.org ...14 KB (1,984 words) - 06:37, 25 November 2024
- ...ibe an invariant that every reachable state of a model must satisfy, while persistence properties are of the form "eventually forever some invariant holds". ====Persistence properties==== ...13 KB (2,019 words) - 11:44, 21 November 2024
- ...s (Li and Boufadel 2010).<ref>Li, H. and M. C. Boufadel (2010). "Long-term persistence of oil from the Exxon Valdez spill in two-layer beaches." Nature Geoscience ...6 KB (936 words) - 00:18, 13 July 2024
- ...> [[Calvo (staggered) contracts|Calvo models]] appear to do this with more persistence that the comparable Taylor models<ref>Kiley, Michael (2002). "Price adjustm ...urvey by Guido Ascari.<ref>Guido Ascari (2003), "Price/Wage Staggering and Persistence: a Unifying Framework", ''The Journal of Economic Surveys'', 17 (4), pp. 51 ...13 KB (2,024 words) - 12:48, 16 April 2023
- ...point is the <math>b</math>-factorion function's [[persistence of a number|persistence]] of <math>n</math>, and undefined if it never reaches a fixed point. ...9 KB (1,170 words) - 06:21, 25 May 2024
- ...IMs were introduced by [[Neil Fenichel]] in 1972.<ref>{{cite journal|title=Persistence and Smoothness of Invariant Manifolds for Flows|journal=Indiana Univ. Math. ...4 KB (536 words) - 12:14, 9 August 2023