2012
DOI: 10.1162/neco_a_00212
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A Scale-Invariant Internal Representation of Time

Abstract: We propose a principled way to construct an internal representation of the temporal stimulus history leading up to the present moment. A set of leaky integrators performs a Laplace transform on the stimulus function, and a linear operator approximates the inversion of the Laplace transform. The result is a representation of stimulus history that retains information about the temporal sequence of stimuli. This procedure naturally represents more recent stimuli more accurately than less recent stimuli; the decre… Show more

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Cited by 134 publications
(195 citation statements)
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References 73 publications
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“…Recent works have provided direct evidence for a representation of time in the striatum that is distributed over a set of neurons (49,50) and that DA neurons may directly modulate timing (47). The specific set of functions adopted in our work (43,51) is a possible realization of these findings. Although there are alternative temporal representations (45) and approaches (52), our choice was dictated for the sake of simplicity and because there exist detailed studies of this internal representation that make its use attractive (53).…”
Section: Discussionsupporting
confidence: 53%
See 1 more Smart Citation
“…Recent works have provided direct evidence for a representation of time in the striatum that is distributed over a set of neurons (49,50) and that DA neurons may directly modulate timing (47). The specific set of functions adopted in our work (43,51) is a possible realization of these findings. Although there are alternative temporal representations (45) and approaches (52), our choice was dictated for the sake of simplicity and because there exist detailed studies of this internal representation that make its use attractive (53).…”
Section: Discussionsupporting
confidence: 53%
“…(B) Each task event was represented across time via a set of functions reproducing the event at different latencies from its onset. Importantly, the resolution of the representation degraded with the passage of time (43).…”
Section: Resultsmentioning
confidence: 99%
“…Operators are commonly used to describe input/output transformation of neuronal signals. Typical examples are those used to model the receptive field of retinal ganglion cells (17), representation of time (18), auditory stimuli (19), and extracellular neural signals (20). In our case, this seems to be a promising approach that allows one to make general predictions about the properties, number, and structure of the operators representing the odor stimuli.…”
Section: Discussionmentioning
confidence: 99%
“…An alternative approach is to assume that different context features change at different temporal rates, directly encoding a representa tion of the time of occurrence of each item. This approach was taken by Howard, Shankar, Aue, and Criss (2015), who showed how such a scale invariant representation of temporal context could simultaneously account for both within-list and across-list recency and contiguity effects (see also Shankar & Howard, 2012).…”
Section: Comparison To Other Models Of Free Recallmentioning
confidence: 99%