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Second, while there are serial dependencies over time, the state of a system depends only on its state at the previous point in the time series, but not on any earlier states.
Many machine learning (ML) algorithms iteratively transform some global state (e.g., model parameters or variable assignment) giving the illusion of serial dependencies between each operation.
The deterministic operations of sort 1 (single split point) are used in the analysis of non-peripheral extraction, discontinuous idioms, gapping and ellipsis, quantifier scope construal, reflexivisation, pied-piping and the Dutch cross- serial dependencies, among others.
These models of premotor function are mostly based on studies dealing with individual movements, that is, movements aimed at a given goal without consideration for serial dependencies between multiple motor events.
The standard errors of these beta estimates were computed nonparametrically using a bootstrap procedure designed to operate on time series data, containing serial dependencies, with repeated deterministic (experimentally determined) effects.
All such time series methods enable the effect of the event to be separated from general trends and serial dependencies in time, thereby enabling valid statistical inferences to be made about whether an intervention has had an effect on a time series.
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It furthermore is shown that model performance evaluation procedures that account for the flow residual serial dependency and homoscedasticity are preferred.
Time-series analysis is appropriate when there is serial dependency in the data (i.e. successively measured data are significantly correlated).
According to RECIST guidelines, three measurements were performed within each patient at different time points implying serial dependency of the data.
At the same time it should be noted that at least some natural languages have been shown to be mildly context-sensitive (e.g., Dutch and Swiss German exhibit cross-serial dependencies where a series of nominals "NP1 NP2 NP3 …" need to be matched, in the same order, with a subsequent series of verbs, "V1 V2 V3 …").
Serialization dependencies specify whether tasks in the application require a serial execution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com