# Invisible Backdoor Attack Through Singular Value Decomposition

arXiv: https://arxiv.org/abs/2403.13018 · HTML: https://mlsanity.com/paper/2403.13018/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- Builds on 27 of its 41 references that are in the map.
- First posted on arXiv 18 Mar 2024.

## Builds on (most cited first, 27 of 27)

- [Deep Residual Learning for Image Recognition](https://mlsanity.com/paper/1512.03385/) (2015)
- [The Unreasonable Effectiveness of Deep Features as a Perceptual Metric](https://mlsanity.com/paper/1801.03924/) (2018)
- [Grad-CAM: Visual Explanations from Deep Networks via Gradient-based Localization](https://mlsanity.com/paper/1610.02391/) (2016)
- [Densely Connected Convolutional Networks](https://mlsanity.com/paper/1608.06993/) (2016)
- [Targeted Backdoor Attacks on Deep Learning Systems Using Data Poisoning](https://mlsanity.com/paper/1712.05526/) (2017)
- [Fine-Pruning: Defending Against Backdooring Attacks on Deep Neural Networks](https://mlsanity.com/paper/1805.12185/) (2018)
- [Poison Frogs! Targeted Clean-Label Poisoning Attacks on Neural Networks](https://mlsanity.com/paper/1804.00792/) (2018)
- [STRIP: A Defence Against Trojan Attacks on Deep Neural Networks](https://mlsanity.com/paper/1902.06531/) (2019)
- [Invisible Backdoor Attack with Sample-Specific Triggers](https://mlsanity.com/paper/2012.03816/) (2020)
- [Reflection Backdoor: A Natural Backdoor Attack on Deep Neural Networks](https://mlsanity.com/paper/2007.02343/) (2020)
- [Neural Attention Distillation: Erasing Backdoor Triggers from Deep Neural Networks](https://mlsanity.com/paper/2101.05930/) (2021)
- [Label-Consistent Backdoor Attacks](https://mlsanity.com/paper/1912.02771/) (2019)
- [A new Backdoor Attack in CNNs by training set corruption without label poisoning](https://mlsanity.com/paper/1902.11237/) (2019)
- [Conformer: Local Features Coupling Global Representations for Visual Recognition](https://mlsanity.com/paper/2105.03889/) (2021)
- [Rethinking the Backdoor Attacks' Triggers: A Frequency Perspective](https://mlsanity.com/paper/2104.03413/) (2021)
- [Backdoor Attacks Against Deep Learning Systems in the Physical World](https://mlsanity.com/paper/2006.14580/) (2020)
- [Bridging Mode Connectivity in Loss Landscapes and Adversarial Robustness](https://mlsanity.com/paper/2005.00060/) (2020)
- [Backdoor Attack in the Physical World](https://mlsanity.com/paper/2104.02361/) (2021)
- [Data-free Backdoor Removal based on Channel Lipschitzness](https://mlsanity.com/paper/2208.03111/) (2022)
- [FIBA: Frequency-Injection based Backdoor Attack in Medical Image Analysis](https://mlsanity.com/paper/2112.01148/) (2021)
- [Poison Ink: Robust and Invisible Backdoor Attack](https://mlsanity.com/paper/2108.02488/) (2021)
- [One-pixel Signature: Characterizing CNN Models for Backdoor Detection](https://mlsanity.com/paper/2008.07711/) (2020)
- [Robust Registration of Multimodal Remote Sensing Images Based on Structural Similarity](https://mlsanity.com/paper/2103.16871/) (2021)
- [Eliminating Backdoor Triggers for Deep Neural Networks Using Attention Relation Graph Distillation](https://mlsanity.com/paper/2204.09975/) (2022)
- [DenseNet Models for Tiny ImageNet Classification](https://mlsanity.com/paper/1904.10429/) (2019)
- [Support Vector Machines under Adversarial Label Contamination](https://mlsanity.com/paper/2206.00352/) (2022)
- [Backdoor Attacks for Remote Sensing Data with Wavelet Transform](https://mlsanity.com/paper/2211.08044/) (2022)

## Built on by (most cited first, 1 of 1)

- [LFA applied to CNNs: Efficient Singular Value Decomposition of Convolutional Mappings by Local Fourier Analysis](https://mlsanity.com/paper/2506.05617/) (2025)

## Abstract (arXiv)

With the widespread application of deep learning across various domains, concerns about its security have grown significantly. Among these, backdoor attacks pose a serious security threat to deep neural networks (DNNs). In recent years, backdoor attacks on neural networks have become increasingly sophisticated, aiming to compromise the security and trustworthiness of models by implanting hidden, unauthorized functionalities or triggers, leading to misleading predictions or behaviors. To make triggers less perceptible and imperceptible, various invisible backdoor attacks have been proposed. However, most of them only consider invisibility in the spatial domain, making it easy for recent defense methods to detect the generated toxic images.To address these challenges, this paper proposes an invisible backdoor attack called DEBA. DEBA leverages the mathematical properties of Singular Value Decomposition (SVD) to embed imperceptible backdoors into models during the training phase, thereby causing them to exhibit predefined malicious behavior under specific trigger conditions. Specifically, we first perform SVD on images, and then replace the minor features of trigger images with those of clean images, using them as triggers to ensure the effectiveness of the attack. As minor features are scattered throughout the entire image, the major features of clean images are preserved, making poisoned images visually indistinguishable from clean ones. Extensive experimental evaluations demonstrate that DEBA is highly effective, maintaining high perceptual quality and a high attack success rate for poisoned images. Furthermore, we assess the performance of DEBA under existing defense measures, showing that it is robust and capable of significantly evading and resisting the effects of these defense measures.