# Generalized Regularized Evidential Deep Learning Models: Theory and Comprehensive Evaluation

Source: [Generalized Regularized Evidential Deep Learning Models: Theory and Comprehensive Evaluation](<https://www.sota2.com/research/paper/6955ff7c53fdd5c36173df09>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-01-02T05:00:04.167Z

Authors: Deep Shankar Pandey, Hyomin Choi, Qi Yu

Published: 2025-12-27T11:26:18.000Z

## Abstract

Evidential deep learning (EDL) models, based on Subjective Logic, introduce a principled and computationally efficient way to make deterministic neural networks uncertainty-aware. The resulting evidential models can quantify fine-grained uncertainty using learned evidence. However, the Subjective-Logic framework constrains evidence to be non-negative, requiring specific activation functions whose geometric properties can induce activation-dependent learning-freeze behavior: a regime where gradients become extremely small for samples mapped into low-evidence regions. We theoretically characterize this behavior and analyze how different evidential activations influence learning dynamics. Building on this analysis, we design a general family of activation functions and corresponding evidential regularizers that provide an alternative pathway for consistent evidence updates across activation regimes. Extensive experiments on four benchmark classification problems (MNIST, CIFAR-10, CIFAR-100, and Tiny-ImageNet), two few-shot classification problems, and blind face restoration problem empirically validate the developed theory and demonstrate the effectiveness of the proposed generalized regularized evidential models.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

- [Blind Face Restoration on CelebA](<https://www.sota2.com/research/sota/blind-face-restoration-on-celeba.md>): Blind Face Restoration; CelebA; PSNR: 22.33.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2512.23753>)

[PDF](<https://arxiv.org/pdf/2512.23753.pdf>)
