OSCR

HRL-Det: Hierarchical Reinforcement Learning for Sequential Object Detection in Aerial Imagery.

Overview

Authors: Meng Li1, Yaowen Hu2
ORCID iDs: Yaowen Hu
  1. College of Geography and Environment, Xianyang Normal University, Xianyang 712000, China
  2. School of Computer Science, National University of Defense Technology (NUDT), Changsha 410073, China
Journal: Sensors (Basel, Switzerland), volume 26, issue 13, article 4232
Dates: received 24 May 2026; accepted 24 June 2026; published online 3 July 2026
Type: Research article · Language: English
License: CC BY
Identifiers: DOI 10.3390/s26134232 · PMID 42451476 · PMCID PMC13364298 · OpenAlex W7167223521
Open access: gold, a free copy (OpenAlex)
Status: data only
Categories: computational (subfield)
Methods: Statistics, fMRI & imaging, Smoothing, state filtering, decompositions, Machine learning
Keywords: object detection, unmanned aerial vehicle, reinforcement learning, hierarchical reinforcement learning, neural ordinary differential equation, Lyapunov stability, reward shaping, deep Q-network
Topic: Advanced Neural Network Applications (Computer Vision and Pattern Recognition, Computer Science), according to OpenAlex
Citations: not cited yet (Europe PMC); 44 references in the paper

Abstract

Object detection in unmanned aerial vehicle (UAV) imagery suffers from severe scale variation, dense object packing, and prohibitive computational cost when conventional detectors exhaustively evaluate high-resolution frames. Reinforcement learning (RL)-based sequential detectors offer a promising alternative by formulating localization as an active search process, yet existing methods are limited by discrete-time state transitions, sparse reward signals, and premature policy collapse. In this paper, we propose HRL-Det, a hierarchical reinforcement learning framework that addresses these challenges through two tightly coupled innovations. First, a Neural ODE-driven Continuous-Time Bellman State Evolution module models the agent’s state dynamics as a stochastic differential equation governed by the Hamilton–Jacobi–Bellman equation, enabling fine-grained temporal reasoning with memory-efficient adjoint-based backpropagation. Second, a Lyapunov-Guided Entropy-Regularized Reward Shaping mechanism constructs convergence-promoting dense rewards informed by Lyapunov stability analysis while maintaining exploration diversity through maximum entropy optimization. Extensive experiments on VisDrone2019, DroneVehicle, and MS COCO 2017 show that HRL-Det achieves of 0.412, 0.812, and 0.735, respectively, outperforming existing RL-based detectors and achieving competitive accuracy relative to representative non-RL detectors under the same COCO metric, while requiring only 17.3 M parameters and an average of 6.3 search steps per object.

Reproduced under the paper's license (CC BY), from the paper cited above.

Code

The paper links to its data, not to its authors' code: see the Data section.

The paper's code and data availability statement is in the Data section.

Tracing map

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Data

Datasets cited

Data Availability Statement

All datasets used in this study are publicly available. VisDrone2019 is available at https://github.com/VisDrone/VisDrone-Dataset (accessed on 23 June 2026). DroneVehicle is available at https://github.com/VisDrone/DroneVehicle (accessed on 23 June 2026). MS COCO 2017 is available at https://cocodataset.org (accessed on 23 June 2026).

Reproduced under the paper's license (CC BY), from the paper cited above.

Versions

The history of this record: each version stored by the harvester or made by a correction of its authors or of the maintainers of its code, and what changed in its facts. The texts of the paper (its abstract, its availability statements) are not part of it; versions that changed only those are not listed.

Version 1, 27 September 2026: the first record

Recorded: type, language, journal, volume, issue, pages, dates, 2 authors, 8 keywords, 13 references.

Cite

This paper

Li, M., & Hu, Y. (2026). HRL-Det: Hierarchical Reinforcement Learning for Sequential Object Detection in Aerial Imagery. Sensors (Basel, Switzerland), 26(13), 4232. https://doi.org/10.3390/s26134232

BibTeX

@article{li2026hrl,
author = {Li, Meng and Hu, Yaowen},
title = {{HRL-Det: Hierarchical Reinforcement Learning for Sequential Object Detection in Aerial Imagery}},
journal = {Sensors (Basel, Switzerland)},
year = {2026},
month = jul,
volume = {26},
number = {13},
pages = {4232},
publisher = {Multidisciplinary Digital Publishing Institute (MDPI)},
issn = {1424-8220},
doi = {10.3390/s26134232},
url = {https://doi.org/10.3390/s26134232},
pmid = {42451476},
pmcid = {PMC13364298}
}

RIS

TY - JOUR
AU - Li, Meng
AU - Hu, Yaowen
TI - HRL-Det: Hierarchical Reinforcement Learning for Sequential Object Detection in Aerial Imagery
T2 - Sensors (Basel, Switzerland)
J2 - Sensors (Basel)
PY - 2026
DA - 2026/07/03
VL - 26
IS - 13
SP - 4232
SN - 1424-8220
PB - Multidisciplinary Digital Publishing Institute (MDPI)
DO - 10.3390/s26134232
UR - https://doi.org/10.3390/s26134232
LA - en
ER -

CSL-JSON

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