Bias-Corrected Ceilings of Emotion Predictability from Human Label Variation Based on Instance-Level Fano Bounds
Organizations: Faculty of Business and Commerce, Kansai University
Abstract
Emotion recognition from text keeps improving on benchmarks, yet whether an accuracy ceiling has been reached is seldom asked with discipline. Our aim is not to pin this ceiling to a single number, but to quantify how far it depends on finite annotation, estimator choice, annotation noise, and the evaluation protocol, and thereby to discipline how confidently saturation can be claimed. We propose Bias-corrected Affective Ceiling Estimation (BACE), an analysis framework that estimates a bias-corrected ceiling, separates irreducible from reducible error, and disciplines the resulting claims. An anchored Dirichlet-mixture empirical Bayes estimator, bracketed between plug-in and NSB, recovers the human-consensus distribution; an annotator split, a noise deconvolution, and a fixed claim gate then attribute error without circularity. Methodologically, unconstrained point estimates place reachability anywhere from 0.38 to 1.03, so saturation cannot be decided by any single estimator. Substantively, the only assertion passing the claim gate is that at least about 33% of a representative classifier's error on GoEmotions is irreducible, with the same pattern recurring on offensiveness and irony.
Figures & tables
| Gran. | plug-in | NSB | dec. plug | ceiling | gap | cons. [CI] | |
|---|---|---|---|---|---|---|---|
| L2 ( ) | 0.258 | 0.391 | 0.197 | 0.388 | 0.150 | 0.238 | 0.386 [.368,.403] |
| L1 ( ) | 0.227 | 0.328 | 0.179 | 0.350 | 0.134 | 0.216 | 0.383 [.366,.402] |
| Classifier | [CI] | [CI] | |
|---|---|---|---|
| bhadresh-BERT | 0.382 | 0.392 [.375,.411] | 1.009 [.977,1.043] |
| ModernBERT-large | 0.386 | 0.388 [.371,.405] | 0.997 [.967,1.028] |
| SamLowe-RoBERTa | 0.388 | 0.386 [.368,.403] | 0.992 [.964,1.023] |
| monologg-BERT | 0.419 | 0.357 [.342,.372] | 0.918 [.891,.946] |
| GPT-4o-mini (fs) | 0.526 | 0.285 [.273,.297] | 0.732 [.714,.750] |
| Task | [CI] | ||||
|---|---|---|---|---|---|
| Offensiveness (MD-Ag.) | 0.332 | 0.137 | 0.413 [.404,.423] | 0.640 | 0.618 |
| Irony (EPIC) | 0.388 | 0.139 | 0.359 [.342,.375] | 0.672 | 0.603 |
| Emotion (BRIGHTER) | 0.275 | 0.116 | 0.422 [.416,.429] | 0.482 | 0.543 |
Appendix figures & tables7 assets
Supplementary material from the paper’s appendix.
Appendix
| Dataset | Inst. | Ann. | (mean/med.) | Labels |
|---|---|---|---|---|
| GoEmotions | 57,828 | 82 | 3.41 / 3 | multi-label 27+neutral |
| MD-Agreement | 10,753 | 819 | 5 / 5 | binary offensiveness |
| EPIC | 3,000 | 74 | 4.72 / 5 | binary irony |
| BRIGHTER eng | 5,655 | no ID | 8.52 / 8 | 6 emotions, ordinal |
| Block | Estimator | Value |
| Binary floor | Ishida direct ( Ishida et al., 2023 ) | 0.0274 |
| Binary floor | Ushio soft-label ( Ushio et al., 2026 ) | 0.0274 |
| Binary floor | BACE Beta-Binomial EB (point) | 0.0369 |
| Binary floor | BACE NSB (upper) | 0.1120 |
| L2 / ceil. | plug-in (informal) | 0.713 / 0.259 |
| L2 / ceil. | Chao–Shen ( Chao and Shen, 2003 ) | 1.062 / 0.205 |
| Estimator | Coverage | CI width | Bias | |
|---|---|---|---|---|
| plug-in | 3 | 0.00 | 0.028 | |
| mixture EB | 3 | 0.75 | 0.020 | |
| NSB | 3 | 0.00 | 0.023 | |
| plug-in | 5 | 0.00 | 0.027 | |
| mixture EB | 5 | 0.89 | 0.024 | |
| NSB | 5 | 0.00 | 0.027 |
| Label | Label | Label | Label | ||||
|---|---|---|---|---|---|---|---|
| grief | 0.0033 | desire | 0.0175 | sadness | 0.0296 | curiosity | 0.0407 |
| pride | 0.0063 | gratitude | 0.0220 | amusement | 0.0326 | realization | 0.0415 |
| relief | 0.0063 | surprise | 0.0242 | confusion | 0.0336 | disapproval | 0.0523 |
| nervousness | 0.0087 | disgust | 0.0243 | anger | 0.0358 | admiration | 0.0620 |
| remorse | 0.0106 | love | 0.0258 | joy | 0.0359 | annoyance | 0.0622 |
| embarrassment | 0.0114 | excitement | 0.0264 | optimism | 0.0393 | approval | 0.0827 |
Emotion Recognition
Emotion recognition uses language, voice, face, body movement, and physiological signals to infer emotional categories or dimensions such as valence and arousal.
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