Dominance-Relative Bayesian Self-Correction A Pattern-Level Error Correction Mechanism for Neural Classifiers

We present a Bayesian self-correction layer that operates on the output distributionof a neural classifier. Rather than applying a global correction, the mechanism treatsthe dominant pattern as a hypothesis and the remaining probability mass as the opposingevidence. A Bayes-style update re-weights the dominant pattern relative to this opposition,then redistributes the residual probability to non-dominant patterns according to learnedpriors. An adaptive bias term — piecewise linear for small errors and logarithmicallydampened for large ones — is accumulated over training to reduce the mean absolute errorbetween the raw and corrected distributions. Experiments on a 16-class Geometric MLPshow a post-training MAE of 0.0079, average confidence of 0.999, and a reduction oflinear-mode MAE from 0.0088 to 0.0051, while log-mode MAE converges stably.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-23
DOI
https://doi.org/10.5281/zenodo.18743279
Primary Topic
Gaussian Processes and Bayesian Inference
Type
article
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article

Dominance-Relative Bayesian Self-Correction A Pattern-Level Error Correction Mechanism for Neural Classifiers

Furkan Nar
Zenodo (CERN European Organization for Nuclear Research)
Gaussian Processes and Bayesian Inference
article

Dominance-Relative Bayesian Self-Correction A Pattern-Level Error Correction Mechanism for Neural Classifiers

Furkan Nar
article en

Abstract

We present a Bayesian self-correction layer that operates on the output distributionof a neural classifier. Rather than applying a global correction, the mechanism treatsthe dominant pattern as a hypothesis and the remaining probability mass as the opposingevidence. A Bayes-style update re-weights the dominant pattern relative to this opposition,then redistributes the residual probability to non-dominant patterns according to learnedpriors. An adaptive bias term — piecewise linear for small errors and logarithmicallydampened for large ones — is accumulated over training to reduce the mean absolute errorbetween the raw and corrected distributions. Experiments on a 16-class Geometric MLPshow a post-training MAE of 0.0079, average confidence of 0.999, and a reduction oflinear-mode MAE from 0.0088 to 0.0051, while log-mode MAE converges stably.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 49%
Gaussian Processes and Bayesian Inference
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