Instance-based generalization for human judgments about uncertainty.

While previous studies have shown that human behavior adjusts in response to uncertainty, it is still not well understood how uncertainty is estimated and represented. As probability distributions are high dimensional objects, only constrained families of distributions with a low number of parameter...

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Main Authors: Philipp Schustek, Rubén Moreno-Bote
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2018-06-01
Series:PLoS Computational Biology
Online Access:https://storage.googleapis.com/plos-corpus-prod/10.1371/journal.pcbi.1006205/2/pcbi.1006205.pdf?X-Goog-Algorithm=GOOG4-RSA-SHA256&X-Goog-Credential=wombat-sa%40plos-prod.iam.gserviceaccount.com%2F20210223%2Fauto%2Fstorage%2Fgoog4_request&X-Goog-Date=20210223T112002Z&X-Goog-Expires=3600&X-Goog-SignedHeaders=host&X-Goog-Signature=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author Philipp Schustek
Rubén Moreno-Bote
author_facet Philipp Schustek
Rubén Moreno-Bote
author_sort Philipp Schustek
collection DOAJ
description While previous studies have shown that human behavior adjusts in response to uncertainty, it is still not well understood how uncertainty is estimated and represented. As probability distributions are high dimensional objects, only constrained families of distributions with a low number of parameters can be specified from finite data. However, it is unknown what the structural assumptions are that the brain uses to estimate them. We introduce a novel paradigm that requires human participants of either sex to explicitly estimate the dispersion of a distribution over future observations. Judgments are based on a very small sample from a centered, normally distributed random variable that was suggested by the framing of the task. This probability density estimation task could optimally be solved by inferring the dispersion parameter of a normal distribution. We find that although behavior closely tracks uncertainty on a trial-by-trial basis and resists an explanation with simple heuristics, it is hardly consistent with parametric inference of a normal distribution. Despite the transparency of the simple generating process, participants estimate a distribution biased towards the observed instances while still strongly generalizing beyond the sample. The inferred internal distributions can be well approximated by a nonparametric mixture of spatially extended basis distributions. Thus, our results suggest that fluctuations have an excessive effect on human uncertainty judgments because of representations that can adapt overly flexibly to the sample. This might be of greater utility in more general conditions in structurally uncertain environments.
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spelling doaj-art-049a791435d7467ca34311ea1dc3e8b12025-08-20T02:03:57ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582018-06-01146e100620510.1371/journal.pcbi.1006205Instance-based generalization for human judgments about uncertainty.Philipp SchustekRubén Moreno-BoteWhile previous studies have shown that human behavior adjusts in response to uncertainty, it is still not well understood how uncertainty is estimated and represented. As probability distributions are high dimensional objects, only constrained families of distributions with a low number of parameters can be specified from finite data. However, it is unknown what the structural assumptions are that the brain uses to estimate them. We introduce a novel paradigm that requires human participants of either sex to explicitly estimate the dispersion of a distribution over future observations. Judgments are based on a very small sample from a centered, normally distributed random variable that was suggested by the framing of the task. This probability density estimation task could optimally be solved by inferring the dispersion parameter of a normal distribution. We find that although behavior closely tracks uncertainty on a trial-by-trial basis and resists an explanation with simple heuristics, it is hardly consistent with parametric inference of a normal distribution. Despite the transparency of the simple generating process, participants estimate a distribution biased towards the observed instances while still strongly generalizing beyond the sample. The inferred internal distributions can be well approximated by a nonparametric mixture of spatially extended basis distributions. Thus, our results suggest that fluctuations have an excessive effect on human uncertainty judgments because of representations that can adapt overly flexibly to the sample. This might be of greater utility in more general conditions in structurally uncertain environments.https://storage.googleapis.com/plos-corpus-prod/10.1371/journal.pcbi.1006205/2/pcbi.1006205.pdf?X-Goog-Algorithm=GOOG4-RSA-SHA256&X-Goog-Credential=wombat-sa%40plos-prod.iam.gserviceaccount.com%2F20210223%2Fauto%2Fstorage%2Fgoog4_request&X-Goog-Date=20210223T112002Z&X-Goog-Expires=3600&X-Goog-SignedHeaders=host&X-Goog-Signature=48b3e3216a9ff4984129b7bebba42d66eb6f7e7ee6e67a2d42d5e3dadbe724d8c5138cc154960c0d4056e1efa45b957a7c7bc6ef59b5d30ae3c7f2d020f5ab7f17ea38345a0eea7cce00a9955263e12a14b6e8898027b62d1c558798faf89864ce7787796ddd67f003c306d9df1cc2b949c2f6804153437794e7bc1f3226ea5c947a59d3829e91248d477c3f6783da1dc80b514fd1c1f56d5dac75df234cf505b2d56c04039de8be6ffebecebf36de2935001ba8f1eb29b6d8d9bc936eeb2b2788c2284dc6fbe70a4eb55533972e1856880815f020273f01f4e87954c1d7856aca0b33f55cf6d0e716a75896cc8b337685ccbec5ae59944c019a6a694ff95f64
spellingShingle Philipp Schustek
Rubén Moreno-Bote
Instance-based generalization for human judgments about uncertainty.
PLoS Computational Biology
title Instance-based generalization for human judgments about uncertainty.
title_full Instance-based generalization for human judgments about uncertainty.
title_fullStr Instance-based generalization for human judgments about uncertainty.
title_full_unstemmed Instance-based generalization for human judgments about uncertainty.
title_short Instance-based generalization for human judgments about uncertainty.
title_sort instance based generalization for human judgments about uncertainty
url https://storage.googleapis.com/plos-corpus-prod/10.1371/journal.pcbi.1006205/2/pcbi.1006205.pdf?X-Goog-Algorithm=GOOG4-RSA-SHA256&X-Goog-Credential=wombat-sa%40plos-prod.iam.gserviceaccount.com%2F20210223%2Fauto%2Fstorage%2Fgoog4_request&X-Goog-Date=20210223T112002Z&X-Goog-Expires=3600&X-Goog-SignedHeaders=host&X-Goog-Signature=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