Analytical calculation of errors in time and value perception due to a subjective time accumulator: A mechanistic model and the generation of Weber's law

Vijay Mohan K Namboodiri, Stefan Mihalas, Marshall Shuler

Research output: Contribution to journalArticle

Abstract

It has been previously shown (Namboodiri, Mihalas, Marton, & Hussain Shuler, 2014) that an evolutionary theory of decision making and time perception is capable of explaining numerous behavioral observations regarding how humans and animals decide between differently delayed rewards of differing magnitudes and how they perceive time. An implementation of this theory using a stochastic drift-diffusion accumulator model (Namboodiri, Mihalas, & Hussain Shuler, 2014a) showed that errors in time perception and decision making approximately obey Weber's law for a range of parameters. However, prior calculations did not have a clear mechanistic underpinning. Further, these calculations were only approximate, with the range of parameters being limited. In this letter, we provide a full analytical treatment of such an accumulator model, along with a mechanistic implementation, to calculate the expression of these errors for the entirety of the parameter space. In our mechanistic model, Weber's law results from synaptic facilitation and depression within the feedback synapses of the accumulator. Our theory also makes the prediction that the steepness of temporal discounting can be affected by requiring the precise timing of temporal intervals. Thus, by presenting exact quantitative calculations, this work provides falsifiable predictions for future experimental testing.

Original languageEnglish (US)
Pages (from-to)89-117
Number of pages29
JournalNeural Computation
Volume28
Issue number1
DOIs
StatePublished - Jan 1 2016

Fingerprint

Time Perception
Decision Making
Reward
Synapses
Depression
Subjective Time
Weber's Law
Prediction
Delay Discounting
Behavior Observation Techniques

ASJC Scopus subject areas

  • Cognitive Neuroscience
  • Arts and Humanities (miscellaneous)

Cite this

Analytical calculation of errors in time and value perception due to a subjective time accumulator : A mechanistic model and the generation of Weber's law. / Namboodiri, Vijay Mohan K; Mihalas, Stefan; Shuler, Marshall.

In: Neural Computation, Vol. 28, No. 1, 01.01.2016, p. 89-117.

Research output: Contribution to journalArticle

@article{f3573bf6b1894b4b904d50e1d94cfaf1,
title = "Analytical calculation of errors in time and value perception due to a subjective time accumulator: A mechanistic model and the generation of Weber's law",
abstract = "It has been previously shown (Namboodiri, Mihalas, Marton, & Hussain Shuler, 2014) that an evolutionary theory of decision making and time perception is capable of explaining numerous behavioral observations regarding how humans and animals decide between differently delayed rewards of differing magnitudes and how they perceive time. An implementation of this theory using a stochastic drift-diffusion accumulator model (Namboodiri, Mihalas, & Hussain Shuler, 2014a) showed that errors in time perception and decision making approximately obey Weber's law for a range of parameters. However, prior calculations did not have a clear mechanistic underpinning. Further, these calculations were only approximate, with the range of parameters being limited. In this letter, we provide a full analytical treatment of such an accumulator model, along with a mechanistic implementation, to calculate the expression of these errors for the entirety of the parameter space. In our mechanistic model, Weber's law results from synaptic facilitation and depression within the feedback synapses of the accumulator. Our theory also makes the prediction that the steepness of temporal discounting can be affected by requiring the precise timing of temporal intervals. Thus, by presenting exact quantitative calculations, this work provides falsifiable predictions for future experimental testing.",
author = "Namboodiri, {Vijay Mohan K} and Stefan Mihalas and Marshall Shuler",
year = "2016",
month = "1",
day = "1",
doi = "10.1162/NECO_a_00792",
language = "English (US)",
volume = "28",
pages = "89--117",
journal = "Neural Computation",
issn = "0899-7667",
publisher = "MIT Press Journals",
number = "1",

}

TY - JOUR

T1 - Analytical calculation of errors in time and value perception due to a subjective time accumulator

T2 - A mechanistic model and the generation of Weber's law

AU - Namboodiri, Vijay Mohan K

AU - Mihalas, Stefan

AU - Shuler, Marshall

PY - 2016/1/1

Y1 - 2016/1/1

N2 - It has been previously shown (Namboodiri, Mihalas, Marton, & Hussain Shuler, 2014) that an evolutionary theory of decision making and time perception is capable of explaining numerous behavioral observations regarding how humans and animals decide between differently delayed rewards of differing magnitudes and how they perceive time. An implementation of this theory using a stochastic drift-diffusion accumulator model (Namboodiri, Mihalas, & Hussain Shuler, 2014a) showed that errors in time perception and decision making approximately obey Weber's law for a range of parameters. However, prior calculations did not have a clear mechanistic underpinning. Further, these calculations were only approximate, with the range of parameters being limited. In this letter, we provide a full analytical treatment of such an accumulator model, along with a mechanistic implementation, to calculate the expression of these errors for the entirety of the parameter space. In our mechanistic model, Weber's law results from synaptic facilitation and depression within the feedback synapses of the accumulator. Our theory also makes the prediction that the steepness of temporal discounting can be affected by requiring the precise timing of temporal intervals. Thus, by presenting exact quantitative calculations, this work provides falsifiable predictions for future experimental testing.

AB - It has been previously shown (Namboodiri, Mihalas, Marton, & Hussain Shuler, 2014) that an evolutionary theory of decision making and time perception is capable of explaining numerous behavioral observations regarding how humans and animals decide between differently delayed rewards of differing magnitudes and how they perceive time. An implementation of this theory using a stochastic drift-diffusion accumulator model (Namboodiri, Mihalas, & Hussain Shuler, 2014a) showed that errors in time perception and decision making approximately obey Weber's law for a range of parameters. However, prior calculations did not have a clear mechanistic underpinning. Further, these calculations were only approximate, with the range of parameters being limited. In this letter, we provide a full analytical treatment of such an accumulator model, along with a mechanistic implementation, to calculate the expression of these errors for the entirety of the parameter space. In our mechanistic model, Weber's law results from synaptic facilitation and depression within the feedback synapses of the accumulator. Our theory also makes the prediction that the steepness of temporal discounting can be affected by requiring the precise timing of temporal intervals. Thus, by presenting exact quantitative calculations, this work provides falsifiable predictions for future experimental testing.

UR - http://www.scopus.com/inward/record.url?scp=84951991987&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84951991987&partnerID=8YFLogxK

U2 - 10.1162/NECO_a_00792

DO - 10.1162/NECO_a_00792

M3 - Article

C2 - 26599714

AN - SCOPUS:84951991987

VL - 28

SP - 89

EP - 117

JO - Neural Computation

JF - Neural Computation

SN - 0899-7667

IS - 1

ER -