An inverse-linear logistic model of the main sequence
A model of the main sequence is proposed based on the logistic function. The model’s fit to the peak velocity-amplitude relation resembles an S curve, simulta- neously allowing control of the curve’s asymptotes at very small and very large amplitudes, as well as its slope over the mid amplitude rang...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Bern Open Publishing
2017-05-01
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| Series: | Journal of Eye Movement Research |
| Subjects: | |
| Online Access: | https://bop.unibe.ch/JEMR/article/view/3603 |
| _version_ | 1818885820236431360 |
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| author | Andrew Duchowski Krzysztof Krejtz Cezary Biele Anna Niedzielska Peter Kiefer Ioannis Giannopoulos Nina Gehrer Michael Schönenberg |
| author_facet | Andrew Duchowski Krzysztof Krejtz Cezary Biele Anna Niedzielska Peter Kiefer Ioannis Giannopoulos Nina Gehrer Michael Schönenberg |
| author_sort | Andrew Duchowski |
| collection | DOAJ |
| description | A model of the main sequence is proposed based on the logistic function. The model’s fit to the peak velocity-amplitude relation resembles an S curve, simulta- neously allowing control of the curve’s asymptotes at very small and very large amplitudes, as well as its slope over the mid amplitude range. The proposed inverse-linear logistic model is also able to express the linear relation of duration and amplitude. We demonstrate the utility and robustness of the model when fit to aggregate data at the small- and mid-amplitude ranges, namely when fitting microsaccades, saccades, and superposition of both. We are confident the model will suitably extend to the large-amplitude range of eye movements. |
| first_indexed | 2024-12-19T16:11:31Z |
| format | Article |
| id | doaj.art-b21f6ebffc2d4959a4bab3eb22a20db3 |
| institution | Directory Open Access Journal |
| issn | 1995-8692 |
| language | English |
| last_indexed | 2024-12-19T16:11:31Z |
| publishDate | 2017-05-01 |
| publisher | Bern Open Publishing |
| record_format | Article |
| series | Journal of Eye Movement Research |
| spelling | doaj.art-b21f6ebffc2d4959a4bab3eb22a20db32022-12-21T20:14:44ZengBern Open PublishingJournal of Eye Movement Research1995-86922017-05-0110310.16910/jemr.10.3.4An inverse-linear logistic model of the main sequenceAndrew Duchowski0Krzysztof Krejtz1Cezary Biele2Anna Niedzielska3Peter Kiefer4Ioannis Giannopoulos5Nina Gehrer6Michael Schönenberg7Clemson UniversitySWPS University of PsychologyNational Information Processing InstituteNational Information Processing InstituteETH ZürichETH ZürichUniversity of TübingenUniversity of TübingenA model of the main sequence is proposed based on the logistic function. The model’s fit to the peak velocity-amplitude relation resembles an S curve, simulta- neously allowing control of the curve’s asymptotes at very small and very large amplitudes, as well as its slope over the mid amplitude range. The proposed inverse-linear logistic model is also able to express the linear relation of duration and amplitude. We demonstrate the utility and robustness of the model when fit to aggregate data at the small- and mid-amplitude ranges, namely when fitting microsaccades, saccades, and superposition of both. We are confident the model will suitably extend to the large-amplitude range of eye movements.https://bop.unibe.ch/JEMR/article/view/3603saccadesmicrosaccadesmain sequencenon-linear modeling |
| spellingShingle | Andrew Duchowski Krzysztof Krejtz Cezary Biele Anna Niedzielska Peter Kiefer Ioannis Giannopoulos Nina Gehrer Michael Schönenberg An inverse-linear logistic model of the main sequence Journal of Eye Movement Research saccades microsaccades main sequence non-linear modeling |
| title | An inverse-linear logistic model of the main sequence |
| title_full | An inverse-linear logistic model of the main sequence |
| title_fullStr | An inverse-linear logistic model of the main sequence |
| title_full_unstemmed | An inverse-linear logistic model of the main sequence |
| title_short | An inverse-linear logistic model of the main sequence |
| title_sort | inverse linear logistic model of the main sequence |
| topic | saccades microsaccades main sequence non-linear modeling |
| url | https://bop.unibe.ch/JEMR/article/view/3603 |
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