Quantifying effects of stochasticity in reference frame transformations on posterior distributions
Reference frame transformations are usually considered to be deterministic. However, translations, scaling or rotation angles could be stochastic. Indeed, variability of these entities often originates from noisy estimation processes. The impact of transformation noise on the statistics of the trans...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2015-07-01
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| Series: | Frontiers in Computational Neuroscience |
| Subjects: | |
| Online Access: | http://journal.frontiersin.org/Journal/10.3389/fncom.2015.00082/full |
| _version_ | 1819241600325255168 |
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| author | Hooman eAlikhanian Schubert Ribeiro De Carvalho Gunnar eBlohm |
| author_facet | Hooman eAlikhanian Schubert Ribeiro De Carvalho Gunnar eBlohm |
| author_sort | Hooman eAlikhanian |
| collection | DOAJ |
| description | Reference frame transformations are usually considered to be deterministic. However, translations, scaling or rotation angles could be stochastic. Indeed, variability of these entities often originates from noisy estimation processes. The impact of transformation noise on the statistics of the transformed signals is unknown and a quantification of these effects is the goal of this study. We first quantify analytically and numerically how stochastic reference frame transformations alter the posterior distribution of the transformed signals. We then propose an new empirical measure to quantify deviations from a given distribution when only limited data is available. We apply this empirical measure to an example in sensory-motor neuroscience to quantify how different head roll angles change the distribution of reach endpoints away from the normal distribution. |
| first_indexed | 2024-12-23T14:26:29Z |
| format | Article |
| id | doaj.art-bb70886700af4d769a0b1e0542bda1b6 |
| institution | Directory Open Access Journal |
| issn | 1662-5188 |
| language | English |
| last_indexed | 2024-12-23T14:26:29Z |
| publishDate | 2015-07-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Computational Neuroscience |
| spelling | doaj.art-bb70886700af4d769a0b1e0542bda1b62022-12-21T17:43:39ZengFrontiers Media S.A.Frontiers in Computational Neuroscience1662-51882015-07-01910.3389/fncom.2015.00082130100Quantifying effects of stochasticity in reference frame transformations on posterior distributionsHooman eAlikhanian0Schubert Ribeiro De Carvalho1Gunnar eBlohm2Queen's UniversityQueen's UniversityQueen's UniversityReference frame transformations are usually considered to be deterministic. However, translations, scaling or rotation angles could be stochastic. Indeed, variability of these entities often originates from noisy estimation processes. The impact of transformation noise on the statistics of the transformed signals is unknown and a quantification of these effects is the goal of this study. We first quantify analytically and numerically how stochastic reference frame transformations alter the posterior distribution of the transformed signals. We then propose an new empirical measure to quantify deviations from a given distribution when only limited data is available. We apply this empirical measure to an example in sensory-motor neuroscience to quantify how different head roll angles change the distribution of reach endpoints away from the normal distribution.http://journal.frontiersin.org/Journal/10.3389/fncom.2015.00082/fullreachingsensory-motor transformationStochastic noisereference frame transformationdeviation from normality |
| spellingShingle | Hooman eAlikhanian Schubert Ribeiro De Carvalho Gunnar eBlohm Quantifying effects of stochasticity in reference frame transformations on posterior distributions Frontiers in Computational Neuroscience reaching sensory-motor transformation Stochastic noise reference frame transformation deviation from normality |
| title | Quantifying effects of stochasticity in reference frame transformations on posterior distributions |
| title_full | Quantifying effects of stochasticity in reference frame transformations on posterior distributions |
| title_fullStr | Quantifying effects of stochasticity in reference frame transformations on posterior distributions |
| title_full_unstemmed | Quantifying effects of stochasticity in reference frame transformations on posterior distributions |
| title_short | Quantifying effects of stochasticity in reference frame transformations on posterior distributions |
| title_sort | quantifying effects of stochasticity in reference frame transformations on posterior distributions |
| topic | reaching sensory-motor transformation Stochastic noise reference frame transformation deviation from normality |
| url | http://journal.frontiersin.org/Journal/10.3389/fncom.2015.00082/full |
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