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Research Article | Open Access

Hiding Functions within Functions: Steganography by Implicit Neural Representations

School of Cybersecurity, Northwestern Polytechnical University, Xi’an 710072, China, and also with School of Cryptography Engineering, Engineering University of PAP, Xi’an 710086, China
School of Cryptography Engineering, Engineering University of PAP, Xi’an 710086, China
School of Cybersecurity, Northwestern Polytechnical University, Xi’an 710072, China
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Abstract

Deep steganography utilizes the powerful capabilities of deep neural networks to embed and extract messages, but its reliance on an additional message extractor limits its practical use due to the added suspicion it can raise from steganalyzers. To address this problem, we propose StegaINR, which utilizes Implicit Neural Representation (INR) to implement steganography. StegaINR embeds a secret function into a stego function, which serves as both the message extractor and the stego medium for secure transmission on a public channel. Recipients only need to use a shared key to recover the secret function from the stego function, allowing them to obtain the secret message. Our approach employs continuous functions, enabling it to handle various types of messages. To our knowledge, this is the first work to introduce INR into steganography. We perform evaluations on image, climate data, and Neural Radiance Field (NeRF) synthetic dataset to test our method in different deployment contexts.

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Tsinghua Science and Technology
Pages 1058-1074

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Cite this article:
Luo P, Liu J, Ke Y, et al. Hiding Functions within Functions: Steganography by Implicit Neural Representations. Tsinghua Science and Technology, 2026, 31(2): 1058-1074. https://doi.org/10.26599/TST.2025.9010030

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Received: 14 May 2024
Revised: 11 October 2024
Accepted: 27 February 2025
Published: 21 October 2025
© The author(s) 2026.

The articles published in this open access journal are distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/).