Cited by 0Machine Learning and Data ClassificationMobile Crowdsensing and CrowdsourcingReliability and Agreement in Measurement

NUTMEG: Separating Signal From Noise in Annotator Disagreement

Open access
Ivey, Jonathan, Gauch, Susan, Jurgens, David·2025·Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing

Abstract

NLP models often rely on human-labeled data for training and evaluation.Many approaches crowdsource this data from a large number of annotators with varying skills, backgrounds, and motivations, resulting in conflicting annotations.These conflicts have traditionally been resolved by aggregation methods that assume disagreements are errors.Recent work has argued that for many tasks annotators may have genuine disagreements and that variation should be treated as signal rather than noise.However, few models separate signal and noise in annotator disagreement.In this work, we introduce NUTMEG, a new Bayesian model that incorporates information about annotator backgrounds to remove noisy annotations from human-labeled training data while preserving systematic disagreements.Using synthetic and real-world data, we show that NUTMEG is more effective at recovering ground-truth from annotations with systematic disagreement than traditional aggregation methods, and we demonstrate that downstream models trained on NUT-MEG-aggregated data significantly outperform models trained on data from traditionally aggregation methods.We provide further analysis characterizing how differences in subpopulation sizes, rates of disagreement, and rates of spam affect the performance of our model.Our results highlight the importance of accounting for both annotator competence and systematic disagreements when training on human-labeled data.

AI snapshot

Written from the paper’s full text.

TL;DR

NUTMEG is a Bayesian annotation model that estimates annotator competence while inferring separate ground-truth labels per annotator subpopulation, aiming to remove spam while preserving systematic disagreement. Across synthetic and POPQUORN experiments, it recovers minority subpopulation labels better than traditional aggregation and improves downstream politeness modeling, though not offensiveness.

Key findings

  • In synthetic data, NUTMEG correctly identifies true labels for both majority and minority subpopulations as systematic disagreement increases, while other methods remain accurate for the majority but become increasingly inaccurate for the minority. NUTMEG’s average Pearson correlation between estimated and true annotator competence is 0.81, versus 0.58 for MACE.
  • As spam rates increase from 0 to 25%, NUTMEG shows an average 4.22% drop in minority accuracy; it can differentiate genuine disagreement from spam, though its disagreement-rate estimates diverge at high and low extremes.
  • With a subpopulation proportion of 0.3 (45 annotators), NUTMEG requires 5 annotations to achieve 92% accuracy; for a proportion of 0.1 (15 annotators), it would need more than 15 annotations per item to achieve the same performance.
  • On POPQUORN politeness, models trained on NUTMEG-aggregated labels outperform both traditional aggregation and disaggregated-annotation baselines (p < 0.05) for all subpopulation splits except race; on offensiveness, there are no significant differences, but NUTMEG does as well as or better than no aggregation.

Methods

  • NUTMEG extends item-response models: for each item and subpopulation it samples a true subpopulation label; each annotator either uses that label or spams according to a Bernoulli competence parameter, with spam labels drawn from an annotator-specific multinomial. It is fit with Variational-Bayes training using symmetric Beta(0.5) priors on competence and symmetric Dirichlet priors on spam behavior.
  • Synthetic experiments use 150 annotators, 500 items, two labels, and an 80/20 majority/minority split, varying divisiveness from 0 to 1 and global spam from 0 to 0.25; comparisons include majority vote, Dawid & Skene, MACE, LFC, and BCC. A second synthetic experiment fixes spam at 0.1 and divisiveness at 0.2, varying minority subpopulation size from 10% to 50% and annotations per item from 3 to 15.
  • Real-data experiments use POPQUORN offensiveness and politeness annotations, binarizing 1–5 Likert ratings at ≥3 and removing subpopulations with ≤5% of annotations. Multi-task ModernBERT models with per-subpopulation heads are trained on NUTMEG outputs and evaluated with Jensen-Shannon divergence against test-set subpopulation label distributions.

Limitations

  • The paper states NUTMEG is not a universal fix for noisy annotations and does not always improve downstream performance, as in the offensiveness task; other sources of label variation may dominate, most NLP still uses single-label models, and NUTMEG treats truth variables as nominal.
  • The paper states experiments used known, discrete subpopulation labels and did not evaluate inferred clustering for subpopulations, and that real-world evaluation is limited to the POPQUORN dataset. It also notes that imputing unobserved subpopulation labels assumes observed labels from different subpopulations are independent.
  • Evident from the text: synthetic results rely on simplified assumptions such as two subpopulations, binary labels, and a known spam process, and the real-data evaluation covers only two tasks from one dataset with demographic splits, so generalization to other tasks, label types, and subpopulation definitions is not established.

Model-written summary. Check it against the paper before relying on it.

Integrity signals

Registry

Crossref · 10.18653/v1/2025.emnlp-main.144

Cites

0 citation errors · 0 not checkable

Statistics

Nothing to recompute.

Claims the paper makes

2 of 24 cited sources checked · 0 supported · 0 flagged · accuracy not yet measured

  • Findingown data

    NUTMEG is effective at assessing annotator competence.

    “We further find that NUTMEG is effective at as-sessing annotator competence.”
    Quote in the paperSubstantial claim
  • Findingown data

    NUTMEG can effectively differentiate genuine disagreement from spam annotations.

    “We find that NUTMEG can effectively differentiate genuine disagreement from spam annotations, as shown in Figure 5.”
    Quote in the paperSubstantial claim
  • Findingown data

    NUTMEG does not always improve performance.

    “Though we consider these compelling use cases for NUTMEG, we also find that it does not always improve performance.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Annotator demographics (gender, age, race, and education) capture relevant subpopulation-level variation in judgments for the tasks studied.
  • Findingown data

    Among the aggregation steps, NUTMEG does as well as or better than no-aggregation for offensiveness detection.

    “However, among the aggregation steps NUTMEG does as well as or better than no-aggregation.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Annotator demographics (gender, age, race, and education) capture relevant subpopulation-level variation in judgments for the tasks studied.
  • Findingown data

    Through real-world experiments, NUTMEG's ability to distinguish systematic disagreement can be combined with Learning from Disagreement models to improve performance on subjective classification tasks.

    “Then, through real-world experiments, we demonstrate that NUTMEG's ability to distinguish systematic disagreement can be combined with Learning from Disagreement models to improve performance on subjective classification tasks.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Annotator demographics (gender, age, race, and education) capture relevant subpopulation-level variation in judgments for the tasks studied.
  • Classified as probably not a substantial claim. 18
  • May combine two claims. 12
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Premisecitation

    Past work in NLP has found a mixed trend: for some datasets, demographics explain little variation, while for others, demographics explain substantial variation.

    “indeed, past work in NLP has found a mixed trend, where for some datasets, demographics explain little variation (Orlikowski et al., 2023), while for others, demographics explain substantial variation (Larimore et al., 2021;Sap et al., 2022;Pei and Jurgens, 2023;Wan et al., 2023).”
    Quote in the paperNot a substantial claim1 of 3 sources checked
    • cites Orlikowski et al., 2023 source

      The Results (§5) find no statistically significant predictive gain from adding sociodemographic information in the dataset studied, supporting the cited clause’s general direction. But the paper does not measure how much label variation demographics explain; its finding is narrower and specific to adding group-specific layers to multi-annotator models. (LLM, conf=0.82)

      Experimental — accuracy not yet measured
    • cites Larimore et al., 2021

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

    • cites Sap et al., 2022

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • Probably not a substantial claim: may not pass S2 (checkable).

    Interpretationcitation

    Subpopulation modeling is a promising direction for improving the representation and evaluation for the diverse stakeholders of NLP models.

    “However, our results show subpopulation modeling is a promising direction for improving the representation and evaluation for the diverse stakeholders of NLP models (Cabitza et al., 2023).”
    Quote in the paperNot a substantial claim1 of 1 sources checked
    • cites Cabitza et al., 2023 source

      The Motivations and Background section advocates modeling diverse human perspectives, and Related work describes clustering raters by affinity in an NLP hate-speech corpus. The paper also argues for evaluation that accounts for differing annotations. It supports the broader direction, but does not specifically identify subpopulation modeling as a way to improve both representation and evaluation for NLP stakeholders. The citing authors’ phrase “our results show” describes their own findings, not this source’s. (LLM, conf=0.78)

      Experimental — accuracy not yet measured
    • Rests on an assumption: Annotator demographics (gender, age, race, and education) capture relevant subpopulation-level variation in judgments for the tasks studied.
  • May combine two claims.

    Findingreasoning

    As the rate of disagreement approaches the high and low extremes, NUTMEG's estimate of the rate of disagreement diverges from the true rate; at high rates it underestimates and at low rates it overestimates.

    “However, as the rate of disagreement approaches the high and low extremes, NUTMEG's estimate of the rate of disagreement diverges from the true rate.At especially high rates of disagreement, the model underestimates and at especially low rates of disagreement, the model overestimates.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data

    NUTMEG's accuracy for the minority subpopulation is lower than for the majority, primarily due to data sparsity.

    “Note that while NUTMEG is able to recover most of the true labels, the accuracy for the minority subpopulation is still lower.This gap is primarily due to data sparsity.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data

    NUTMEG is effective even for small numbers of annotations per subpopulation, making it readily amenable to use with crowdsourcing.

    “(ii) NUTMEG is effective even for small numbers of annotations per subpopulation, making it readily amenable to use with crowdsourcing.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    Aggregation generally helps, with even majority voting often reducing noise in the data.

    “Our results show aggregation generally helps, with even the naive but commonly-used majority voting often reducing noise in the data.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Annotator demographics (gender, age, race, and education) capture relevant subpopulation-level variation in judgments for the tasks studied.
  • May combine two claims.

    Findingown data

    In experiments on synthetic data, NUTMEG can accurately recover distinct labels for each subpopulation when they differ, while still recognizing when annotators are spamming.

    “In experiments on synthetic data, we demonstrate that (i) NUTMEG can accurately recover distinct labels for each subpopulation when they differ, while still recognizing when annotators are spammingfoot_1”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Interpretationcitation

    NUTMEG does not require that subpopulations be derived from additional annotator data; it can be combined with any unsupervised method for grouping annotators based on behavior.

    “However, we note that NUTMEG does not require that subpopulations be derived from additional annotator data, like those collected from questionnaires.Instead, it can be combined with any unsupervised method for grouping annotators based on behavior (e.g., Vitsakis et al., 2024), and the subpopulations can be derived from the resultant inferred groups.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Vitsakis et al., 2024

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Study design and conductreasoning

    We have not evaluated the strategy of clustering annotators to create inferred subpopulations.

    “While we note that recent work has pointed to the ability to cluster annotators to create inferred subpopulations (Vitsakis et al., 2024), we have not evaluated that strategy here in favor of first demonstrating that the method works with known demographics.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Vitsakis et al., 2024

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • May combine two claims.

    Interpretationreasoning

    NUTMEG is at least not introducing additional noise, unlike majority vote which generally has higher JSD.

    “This neutral behavior highlights it is at least not introducing additional noise, unlike majority vote which generally has higher JSD.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Annotator demographics (gender, age, race, and education) capture relevant subpopulation-level variation in judgments for the tasks studied.
  • May combine two claims.

    Interpretationown data

    Learning directly from disaggregated annotations can introduce noise, and NUTMEG's noise reduction improves performance on downstream tasks.

    “This trend supports our hypothesis that learning directly from disaggregated annotations can introduce noise and NUTMEG's noise reduction improves performance on downstream tasks.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Annotator demographics (gender, age, race, and education) capture relevant subpopulation-level variation in judgments for the tasks studied.
  • May combine two claims.

    Interpretationnone given

    NUTMEG estimates annotator competence and infers per-subpopulation labels for each item.

    “Our approach, NUTMEG (Nuanced Understanding of annoTation by MultiplE Groups) estimates annotator competence and infers persubpopulation labels for each item.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S2 (checkable).

    Interpretationown data

    Intentional data collection methods are important when representing the opinions of small subpopulations.

    “This result shows the importance of intentional data collection methods when representing the opinions of small subpopulations.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    NUTMEG most closely resembles MACE, which attempts to simultaneously learn the spamming rates of annotators and the item's likely label.

    “NUTMEG most closely resembles MACE (Hovy et al., 2013) which attempts to simultaneously learn the spamming rates of annotators and the item's likely label.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Hovy et al., 2013

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    In real scenarios, annotators may disagree for a variety of reasons, not all of which relate to a subpopulation identity.

    “In real scenarios, annotators may disagree for a variety of reasons (Sandri et al., 2023), not all of which relate to a subpopulation identity.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Sandri et al., 2023 source

      Checked before — its earlier verdict is held back until a new check runs.

  • Probably not a substantial claim: may not pass S4 (based).

    Premisenone given

    NUTMEG requires that annotators be associated with a particular subpopulation.

    “NUTMEG requires that annotators be associated with a particular subpopulation.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Study design and conductreasoning

    Our experimental design limits the potential confounding influence of the clustering model on the potential benefits of NUTMEG.

    “Our experimental design limits the potential confounding influence of the clustering model on the potential benefits of NUTMEG.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Interpretationreasoning

    Current models of annotator competence treat consensus as correct and disagreement as error, and as a result, valid label disagreements by minority subpopulations risk being omitted.

    “This relationship is particularly important because current models of annotator competence treat consensus as correct-and disagreement as error-and as a result, valid label disagreements by minority subpopulations risk being omitted.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Study design and conductnone given

    Our experiments used a limited number of real-world datasets to demonstrate effectiveness.

    “Finally, our experiments used a limited number of real-world datasets to demonstrate effectiveness.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Premisecitation

    Prior work has identified differences in annotator labels as label noise and attempted to reduce it prior to model training.

    “Prior work has identified differences in annotator labels as labelnoise and attempted to reduce it prior to model training (Dawid and Skene, 1979).”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Dawid and Skene, 1979 source
  • Probably not a substantial claim: may not pass S4 (based).

    Premisenone given

    One key assumption of prior Bayesian models is that there exists a single correct label for each item agreed upon by annotators.

    “One key assumption of prior Bayesian models is that there exists a single correct label for each item agreed upon by annotators.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    Many methods use unsupervised probabilistic models of annotator behavior to identify incorrect labels (spam) and estimate annotator competence.

    “Many of these methods use unsupervised probabilistic models of annotator behavior to identify incorrect labels, also known as spam, and estimate annotator competence (Whitehill et al., 2009;Liu et al., 2012;Hovy et al., 2013;Paun et al., 2018).”
    Quote in the paperNot a substantial claim0 of 3 sources checked
    • cites Whitehill et al., 2009

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

    • cites Liu et al., 2012

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

    • cites Hovy et al., 2013

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    Multiple works have noted meaningful variation by race and gender.

    “Multiple works have noted meaningful variation by race and gender (Larimore et al., 2021;Sap et al., 2022;Pei and Jurgens, 2023;Wan et al., 2023).”
    Quote in the paperNot a substantial claim0 of 3 sources checked
    • cites Larimore et al., 2021

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

    • cites Sap et al., 2022

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

    • cites Pei and Jurgens, 2023

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    Conservative annotators are less likely to rate anti-Black language as toxic.

    “for example, showing that conservative annotators are less likely to rate anti-Black language as toxic (Sap et al., 2022).”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Sap et al., 2022

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • Classified as probably not a substantial claim.

    Interpretationnone given

    NUTMEG's data efficiency makes it well-suited for crowdsourcing settings.

    “Its data efficiency makes it well-suited for crowdsourcing settings, and its ability to model annotator variation contributes to more representative NLP models.”
    Quote in the paperSubstantial claim
  • Classified as probably not a substantial claim.

    Study design and conductnone given

    Our experiments with synthetic and real data used a known, discrete subpopulation label for each annotator.

    “Our experiments with synthetic and real data used a known, discrete subpopulation label for each annotator.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Study design and conductreasoning

    All random seeds in Python were set to 42 to ensure reproducibility.

    “To ensure reproducibility, we set all random seeds in Python to be 42.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Interpretationreasoning

    NUTMEG could potentially increase the collection of personal data.

    “As a result, NUTMEG could potentially increase the collection of personal data, which needs to be responsibly stored.”
    Quote in the paperNot a substantial claim
28 of 28
  • The authors state this as an assumption.

    In NUTMEG, there exists a single correct label for each subpopulation that is always given by an annotator in that subpopulation when they try to.

    “In NUTMEG, we relax this assumption so that there exists a single correct label for each subpopulation that is always given by an annotator in that subpopulation when they try to.”
  • The authors state this as an assumption.

    Observed labels from different subpopulations are independent.

    “For this process, we make the simplifying assumption that observed labels from different subpopulations are independent.”
  • The paper relies on this without support.

    Annotator demographics (gender, age, race, and education) capture relevant subpopulation-level variation in judgments for the tasks studied.

    “we choose to evaluate on data using annotator demographics to split subpopulations”
    “Our experiments with synthetic and real data used a known, discrete subpopulation label for each annotator.”
  • The paper relies on this without support.

    Most real data contains label variation beyond that due to subpopulations.

    “most real data contains label variation beyond that due to subpopulations”
  • The paper relies on this without support.

    The full, disaggregated label distribution of a subpopulation in the test set represents the true label distribution for that subpopulation.

    “we score using the label distribution of the full, disaggregated labels in the test set”
5 of 5

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

Each contradiction between two passages listed here was confirmed by an independent check.

  • Per-annotator minimum exceeds the stated average

    Minor

    The paper says every annotator labels more than 20 items, but gives an average of 16.67 items per annotator. An average cannot be below the minimum for every annotator.

1 of 1

Cites

The publisher hasn’t deposited this paper’s reference list.

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Authors
Ivey, J., Gauch, S., & Jurgens, D.
Affiliations
  • Johns Hopkins University (US)
  • University of Arkansas at Fayetteville (US)
  • University of Michigan (US)
Venue
Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing
Published
2025
Pages
2874-2887
OpenAlex
W4416037083
Cited by
0
References
0
FWCI
0.00
Type
conference paper
Language
en
Open access
Licence
cc-by
Locations
  • Conference on Empirical Methods in Natural Language Processing (EMNLP) (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • Journal of the Arkansas Academy of Science (submittedVersion, cc-by-nd)
  • arXiv (Cornell University) (cc-by)
Funders
National Science Foundation (2143529, 1946391)
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Machine Learning and Data Classification
  • Physical Sciences › Computer Science › Computer Science Applications › Mobile Crowdsensing and Crowdsourcing
  • Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Reliability and Agreement in Measurement
Keywords
annotator disagreement, noisy annotations, Bayesian model, annotation aggregation, nutmeg

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Claims read by deepseek-v4.1-flash under definition version 3 (extract-v3) on 2026-10-29.

Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-29.

Cited sources are checked by gpt-6-sol.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

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