Neural Prior Estimation: Learning Class Priors from Latent Representations

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Hauptverfasser: Yavari, Masoud, Moallem, Payman
Format: Preprint
Veröffentlicht: 2026
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author Yavari, Masoud
Moallem, Payman
author_facet Yavari, Masoud
Moallem, Payman
contents Class imbalance induces systematic bias in deep neural networks by imposing a skewed effective class prior. This work introduces the Neural Prior Estimator (NPE), a framework that learns feature-conditioned log-prior estimates from latent representations. NPE employs one or more Prior Estimation Modules trained jointly with the backbone via a one-way logistic loss. Under the Neural Collapse regime, NPE is analytically shown to recover the class log-prior up to an additive constant, providing a theoretically grounded adaptive signal without requiring explicit class counts or distribution-specific hyperparameters. The learned estimate is incorporated into logit adjustment, forming NPE-LA, a principled mechanism for bias-aware prediction. Experiments on long-tailed CIFAR and imbalanced semantic segmentation benchmarks (STARE, ADE20K) demonstrate consistent improvements, particularly for underrepresented classes. NPE thus offers a lightweight and theoretically justified approach to learned prior estimation and imbalance-aware prediction.
format Preprint
id arxiv_https___arxiv_org_abs_2602_17853
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Neural Prior Estimation: Learning Class Priors from Latent Representations
Yavari, Masoud
Moallem, Payman
Machine Learning
Computer Vision and Pattern Recognition
Class imbalance induces systematic bias in deep neural networks by imposing a skewed effective class prior. This work introduces the Neural Prior Estimator (NPE), a framework that learns feature-conditioned log-prior estimates from latent representations. NPE employs one or more Prior Estimation Modules trained jointly with the backbone via a one-way logistic loss. Under the Neural Collapse regime, NPE is analytically shown to recover the class log-prior up to an additive constant, providing a theoretically grounded adaptive signal without requiring explicit class counts or distribution-specific hyperparameters. The learned estimate is incorporated into logit adjustment, forming NPE-LA, a principled mechanism for bias-aware prediction. Experiments on long-tailed CIFAR and imbalanced semantic segmentation benchmarks (STARE, ADE20K) demonstrate consistent improvements, particularly for underrepresented classes. NPE thus offers a lightweight and theoretically justified approach to learned prior estimation and imbalance-aware prediction.
title Neural Prior Estimation: Learning Class Priors from Latent Representations
topic Machine Learning
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2602.17853