Data Poisoning Attacks on Regression Learning and Corresponding Defenses
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Abstract (arXiv)
Adversarial data poisoning is an effective attack against machine learning and threatens model integrity by introducing poisoned data into the training dataset. So far, it has been studied mostly for classification, even though regression learning is used in many mission critical systems (such as dosage of medication, control of cyber-physical systems and managing power supply). Therefore, in the present research, we aim to evaluate all aspects of data poisoning attacks on regression learning, exceeding previous work both in terms of breadth and depth. We present realistic scenarios in which data poisoning attacks threaten production systems and introduce a novel black-box attack, which is then applied to a real-word medical use-case. As a result, we observe that the mean squared error (MSE) of the regressor increases to 150 percent due to inserting only two percent of poison samples. Finally, we present a new defense strategy against the novel and previous attacks and evaluate it thoroughly on 26 datasets. As a result of the conducted experiments, we conclude that the proposed defence strategy effectively mitigates the considered attacks.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). First posted on arXiv 15 Sep 2020.
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Citing papers per year: 2022: 3; 2023: 1; 2024: 3; 2025: 1; 2026: 2.
10 papers.
- 2022Wild Patterns Reloaded: A Survey of Machine Learning Security against Training Data Poisoningcited by 93
- 2023The Dataset Multiplicity Problem: How Unreliable Data Impacts Predictionscited by 17
- 2022Certifying Data-Bias Robustness in Linear Regressioncited by 3
- 2024The poison of dimensionalitycited by 3
- 2025Evasion Attacks Against Bayesian Predictive Modelscited by 1
- 2026Safety-Efficacy Trade Off: Robustness against Data-Poisoningcited by 1
- 2022Testing the Robustness of Learned Index Structurescited by 0
- 2024Learning from Uncertain Data: From Possible Worlds to Possible Modelscited by 0
- 2024LOGSAFE: Logic-Guided Verification for Trustworthy Federated Time-Series Learningcited by 0
- 2026Stealthy Poisoning Attacks Bypass Defenses in Regression Settingscited by 0
- 2026Safety-Efficacy Trade Off: Robustness against Data-Poisoning31 Jan 2026
- 2026Stealthy Poisoning Attacks Bypass Defenses in Regression Settings29 Jan 2026
- 2025Evasion Attacks Against Bayesian Predictive Models11 Jun 2025
- 2024LOGSAFE: Logic-Guided Verification for Trustworthy Federated Time-Series Learning5 Nov 2024
- 2024The poison of dimensionality25 Sep 2024
- 2024Learning from Uncertain Data: From Possible Worlds to Possible Models28 May 2024
- 2023The Dataset Multiplicity Problem: How Unreliable Data Impacts Predictions20 Apr 2023
- 2022Testing the Robustness of Learned Index Structures23 Jul 2022
- 2022Certifying Data-Bias Robustness in Linear Regression7 Jun 2022
- 2022Wild Patterns Reloaded: A Survey of Machine Learning Security against Training Data Poisoning4 May 2022