# DELP-Net: A Differentiable Entropy Layer Pyramid Network for End-to-End Low-Rate DoS Detection

**Authors:** Jinyi Wang, Congyuan Xu, Jun Yang

PMC · DOI: 10.3390/e28030328 · 2026-03-15

## TL;DR

DELP-Net is a new network designed to detect stealthy low-rate denial-of-service attacks by analyzing traffic patterns using entropy-based methods.

## Contribution

The novel DELP-Net uses a differentiable entropy layer pyramid and attention mechanism for effective low-rate DoS detection.

## Key findings

- DELP-Net achieved an average F1 score of 0.9877 across six LDoS attack types.
- The model demonstrated a detection rate of 98.69% and a false-positive rate of 1.15%.
- It effectively captures weak repetitive patterns in LDoS traffic using entropy-driven methods.

## Abstract

Low-rate Denial-of-Service (LDoS) attacks exploit periodic traffic pulses to trigger congestion while maintaining a low average rate, making them highly stealthy and difficult to distinguish from legitimate bursty traffic using threshold-based or simple statistical detectors. To address this challenge, this paper proposes DELP-Net, an end-to-end Differentiable Entropy Layer Pyramid Network for window-level online LDoS detection directly from raw traffic. DELP-Net combines a multi-scale one-dimensional convolutional pyramid with a differentiable Rényi-entropy-driven attention mechanism to capture distributional regularity and weak repetitive patterns characteristic of LDoS traffic. In addition, an entropy-conditioned temporal convolutional network is employed to model cross-window periodic dependencies in a lightweight manner, together with an entropy-regularized hybrid loss to enhance robustness under complex background traffic. Experiments on the low-rate DoS dataset show that DELP-Net achieves an average F1 score of 0.9877 across six LDoS attack types, with a detection rate of 98.69% and a false-positive rate of 1.15%, demonstrating its effectiveness and suitability for practical online intrusion detection deployments.

## Full-text entities

- **Diseases:** DoS (MESH:C537495)

## Figures

8 figures with captions in the complete paper: https://tomesphere.com/paper/PMC13025764/full.md

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Source: https://tomesphere.com/paper/PMC13025764