2016
DOI: 10.1016/j.spasta.2016.03.005
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Deducing self-interaction in eye movement data using sequential spatial point processes

Abstract: Eye movement data are outputs of an analyser tracking the gaze when a person is inspecting a scene. These kind of data are of increasing importance in scientific research as well as in applications, e.g. in marketing and man-machine interface planning. Thus the new areas of application call for advanced analysis tools. Our research objective is to suggest statistical modelling of eye movement sequences using sequential spatial point processes, which decomposes the variation in data into structural components h… Show more

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Cited by 11 publications
(35 citation statements)
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“…Algorithm optimization: researchers have proposed using algorithm optimization to improve the accuracy of eye control and smoothen the track of sight movement (Kotani et al, 2012;Lin & Majumder, 2016;Penttinen & Ylitalo, 2016;Velloso et al, 2017).…”
mentioning
confidence: 99%
“…Algorithm optimization: researchers have proposed using algorithm optimization to improve the accuracy of eye control and smoothen the track of sight movement (Kotani et al, 2012;Lin & Majumder, 2016;Penttinen & Ylitalo, 2016;Velloso et al, 2017).…”
mentioning
confidence: 99%
“…Points are added until the observed number of points in the pattern has been reached and the main focus here is to make inference on the arrival density. Below, we first recall the general sequential model 28 (Section 3.1) and specify it in our case without (Section 3.2) and with noise (3.4). Further, we discuss efficient inference for the sequential models (Section 3.3) and, finally, fit the sequential model with noise to the sweat gland data (Section 3.5).…”
Section: Sequential Point Process Modelmentioning
confidence: 99%
“…The density function for the whole point pattern ( x 1 , … , x N ) is then trueboldxn1false|Wfalse|truek=2nffalse(xk;trueboldxkprefix−1false), where 1/| W | is the contribution of the first point. A nice feature of the sequential point process models is that they have a tractable likelihood even though it can be costly to compute 28 …”
Section: Sequential Point Process Modelmentioning
confidence: 99%
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“…The fixation process could be regarded as a realization of a sequential point process which can be used to access the non-stationarity of the fixation process. The first author of this paper is currently working on that issue (see preprint Penttinen and Ylitalo [2016]).…”
Section: Summary Statisticsmentioning
confidence: 99%