SAFER: A Structure-free Approach for Certified Robustness to Adversarial Word Substitutions
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Abstract (arXiv)
State-of-the-art NLP models can often be fooled by human-unaware transformations such as synonymous word substitution. For security reasons, it is of critical importance to develop models with certified robustness that can provably guarantee that the prediction is can not be altered by any possible synonymous word substitution. In this work, we propose a certified robust method based on a new randomized smoothing technique, which constructs a stochastic ensemble by applying random word substitutions on the input sentences, and leverage the statistical properties of the ensemble to provably certify the robustness. Our method is simple and structure-free in that it only requires the black-box queries of the model outputs, and hence can be applied to any pre-trained models (such as BERT) and any types of models (world-level or subword-level). Our method significantly outperforms recent state-of-the-art methods for certified robustness on both IMDB and Amazon text classification tasks. To the best of our knowledge, we are the first work to achieve certified robustness on large systems such as BERT with practically meaningful certified accuracy.
Key facts. Cited by 72 papers in the map (data through 7 Oct 2026). First posted on arXiv 29 May 2020.
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Citing papers per year: 2021: 11; 2022: 17; 2023: 12; 2024: 15; 2025: 10; 2026: 7.
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- 2023Certifying LLM Safety against Adversarial Promptingcited by 248
- 2021Adversarial GLUE: A Multi-Task Benchmark for Robustness Evaluation of Language Modelscited by 227
- 2021On the Adversarial Robustness of Vision Transformerscited by 104
- 2022Why Should Adversarial Perturbations be Imperceptible? Rethink the Research Paradigm in Adversarial NLPcited by 99
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- 2021Certified Robustness to Text Adversarial Attacks by Randomized [MASK]cited by 57
- 2021Searching for an Effective Defender: Benchmarking Defense against Adversarial Word Substitutioncited by 55
- 2024Operationalizing a Threat Model for Red-Teaming Large Language Models (LLMs)cited by 44
- 2023Text-CRS: A Generalized Certified Robustness Framework against Textual Adversarial Attackscited by 32
- 2021Defending Pre-trained Language Models from Adversarial Word Substitutions Without Performance Sacrificecited by 30
- 2022Certified Robustness Against Natural Language Attacks by Causal Interventioncited by 23
38 more
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- 2021Improving Zero-Shot Cross-Lingual Transfer Learning via Robust Trainingcited by 21
- 2021Does Robustness Improve Fairness? Approaching Fairness with Word Substitution Robustness Methods for Text Classificationcited by 20
- 2022Textual Manifold-based Defense Against Natural Language Adversarial Examplescited by 19
- 2021Certified Robustness to Programmable Transformations in LSTMscited by 18
- 2021On the Robustness of Reading Comprehension Models to Entity Renamingcited by 17
- 2023RS-Del: Edit Distance Robustness Certificates for Sequence Classifiers via Randomized Deletioncited by 17
- 2022On Robust Prefix-Tuning for Text Classificationcited by 15
- 2024Advancing the Robustness of Large Language Models through Self-Denoised Smoothingcited by 15
- 2024NLP Verification: Towards a General Methodology for Certifying Robustnesscited by 14
- 2022Adversarial Training for Improving Model Robustness? Look at Both Prediction and Interpretationcited by 12
- 2023Randomized Smoothing with Masked Inference for Adversarially Robust Text Classificationscited by 11
- 2022Robust Natural Language Processing: Recent Advances, Challenges, and Future Directionscited by 9
- 2022Impact of Adversarial Training on Robustness and Generalizability of Language Modelscited by 9
- 2023Less is More: Understanding Word-level Textual Adversarial Attack via n-gram Frequency Descendcited by 9
- 2023Don't Retrain, Just Rewrite: Countering Adversarial Perturbations by Rewriting Textcited by 8
- 2021Integer-arithmetic-only Certified Robustness for Quantized Neural Networkscited by 7
- 2023Perturbation-Invariant Adversarial Training for Neural Ranking Models: Improving the Effectiveness-Robustness Trade-Offcited by 7
- 2024Fast Adversarial Training against Textual Adversarial Attackscited by 7
- 2025Towards the Worst-case Robustness of Large Language Modelscited by 7
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- 2025CluCERT: Certifying LLM Robustness via Clustering-Guided Denoising Smoothingcited by 6
- 2022Rethinking Textual Adversarial Defense for Pre-trained Language Modelscited by 5
- 2023Masked Language Model Based Textual Adversarial Example Detectioncited by 5
- 2024ProTransformer: Robustify Transformers via Plug-and-Play Paradigmcited by 5
- 2022Identifying Adversarial Attacks on Text Classifierscited by 4
- 2022Improving robustness of language models from a geometry-aware perspectivecited by 4
- 2024MMCert: Provable Defense against Adversarial Attacks to Multi-modal Modelscited by 4
- 2022Distinguishing Non-natural from Natural Adversarial Samples for More Robust Pre-trained Language Modelcited by 3
- 2022Balanced Adversarial Training: Balancing Tradeoffs between Fickleness and Obstinacy in NLP Modelscited by 3
- 2024SemRoDe: Macro Adversarial Training to Learn Representations That are Robust to Word-Level Attackscited by 3
- 2022Quantifying Robustness to Adversarial Word Substitutionscited by 2
- 2022Sibylvariant Transformations for Robust Text Classificationcited by 2
- 2022ADDMU: Detection of Far-Boundary Adversarial Examples with Data and Model Uncertainty Estimationcited by 2
- 2024The Impact of Quantization on the Robustness of Transformer-based Text Classifierscited by 2
- 2024Explaining the role of Intrinsic Dimensionality in Adversarial Trainingcited by 2
- 2024MaskPure: Improving Defense Against Text Adversaries with Stochastic Purificationcited by 2
50 most cited of 72 All 72 (JSON)
- 2026SoK: Formal Methods for Fact-Checking and Information Integrity19 Sep 2026
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- 2026S-GBT: Smooth Growth Bound Tensor for Certified Robustness Against Word Substitution Attacks in NLP11 Jun 2026
- 2026When Efficiency Backfires: Cascading LLMs Trigger Cascade Failure under Adversarial Attack17 May 2026
- 2026Certified Robustness under Heterogeneous Perturbations via Hybrid Randomized Smoothing13 May 2026
- 2026Agentic Adversarial Rewriting Exposes Architectural Vulnerabilities in Black-Box NLP Pipelines26 Apr 2026
- 2025RobustMask: Certified Robustness against Adversarial Neural Ranking Attack via Randomized Masking29 Dec 2025
- 2025Adversarially Robust Detection of Harmful Online Content: A Computational Design Science Approach19 Dec 2025
- 2025CluCERT: Certifying LLM Robustness via Clustering-Guided Denoising Smoothing1 Dec 2025
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- 2025DSSmoothing: Toward Certified Dataset Ownership Verification for Pre-trained Language Models via Dual-Space Smoothing17 Oct 2025
38 more
- 2025Guided Perturbation Sensitivity (GPS): Detecting Adversarial Text via Embedding Stability and Word Importance6 Aug 2025
- 2025Adversarial Defence without Adversarial Defence: Enhancing Language Model Robustness via Instance-level Principal Component Removal29 Jul 2025
- 2025Bridging Robustness and Generalization Against Word Substitution Attacks in NLP via the Growth Bound Matrix Approach14 Jul 2025
- 2025GenoArmory: A Unified Evaluation Framework for Adversarial Attacks on Genomic Foundation Models16 May 2025
- 2025Towards the Worst-case Robustness of Large Language Models31 Jan 2025
- 2024ProTransformer: Robustify Transformers via Plug-and-Play Paradigm30 Oct 2024
- 2024CERT-ED: Certifiably Robust Text Classification for Edit Distance1 Aug 2024
- 2024Operationalizing a Threat Model for Red-Teaming Large Language Models (LLMs)20 Jul 2024
- 2024DiffuseDef: Improved Robustness to Adversarial Attacks via Iterative Denoising28 Jun 2024
- 2024MaskPure: Improving Defense Against Text Adversaries with Stochastic Purification18 Jun 2024
- 2024CR-UTP: Certified Robustness against Universal Text Perturbations on Large Language Models4 Jun 2024
- 2024Explaining the role of Intrinsic Dimensionality in Adversarial Training27 May 2024
- 2024Advancing the Robustness of Large Language Models through Self-Denoised Smoothing18 Apr 2024
- 2024GenFighter: A Generative and Evolutive Textual Attack Removal17 Apr 2024
- 2024MMCert: Provable Defense against Adversarial Attacks to Multi-modal Models28 Mar 2024
- 2024SemRoDe: Macro Adversarial Training to Learn Representations That are Robust to Word-Level Attacks27 Mar 2024
- 2024NLP Verification: Towards a General Methodology for Certifying Robustness15 Mar 2024
- 2024The Impact of Quantization on the Robustness of Transformer-based Text Classifiers8 Mar 2024
- 2024Defending Large Language Models against Jailbreak Attacks via Semantic Smoothing25 Feb 2024
- 2024Fast Adversarial Training against Textual Adversarial Attacks23 Jan 2024
- 2023Perturbation-Invariant Adversarial Training for Neural Ranking Models: Improving the Effectiveness-Robustness Trade-Off16 Dec 2023
- 2023Fooling the Textual Fooler via Randomizing Latent Representations2 Oct 2023
- 2023Certifying LLM Safety against Adversarial Prompting6 Sep 2023
- 2023Text-CRS: A Generalized Certified Robustness Framework against Textual Adversarial Attacks31 Jul 2023
- 2023Certified Robustness for Large Language Models with Self-Denoising14 Jul 2023
- 2023Don't Retrain, Just Rewrite: Countering Adversarial Perturbations by Rewriting Text25 May 2023
- 2023A Survey of Safety and Trustworthiness of Large Language Models through the Lens of Verification and Validation19 May 2023
- 2023Randomized Smoothing with Masked Inference for Adversarially Robust Text Classifications11 May 2023
- 2023ANTONIO: Towards a Systematic Method of Generating NLP Benchmarks for Verification6 May 2023
- 2023Masked Language Model Based Textual Adversarial Example Detection18 Apr 2023
- 2023Less is More: Understanding Word-level Textual Adversarial Attack via n-gram Frequency Descend6 Feb 2023
- 2023RS-Del: Edit Distance Robustness Certificates for Sequence Classifiers via Randomized Deletion31 Jan 2023
- 2022Impact of Adversarial Training on Robustness and Generalizability of Language Models10 Nov 2022
- 2022Textual Manifold-based Defense Against Natural Language Adversarial Examples5 Nov 2022
- 2022ADDMU: Detection of Far-Boundary Adversarial Examples with Data and Model Uncertainty Estimation22 Oct 2022
- 2022Balanced Adversarial Training: Balancing Tradeoffs between Fickleness and Obstinacy in NLP Models20 Oct 2022
- 2022Why Should Adversarial Perturbations be Imperceptible? Rethink the Research Paradigm in Adversarial NLP19 Oct 2022
- 2022Rethinking Textual Adversarial Defense for Pre-trained Language Models21 Jul 2022
50 newest of 72 All 72 (JSON)
- 2023Certifying LLM Safety against Adversarial Promptingcited by 248
- 2024Operationalizing a Threat Model for Red-Teaming Large Language Models (LLMs)cited by 44
- 2024Advancing the Robustness of Large Language Models through Self-Denoised Smoothingcited by 15
- 2025CluCERT: Certifying LLM Robustness via Clustering-Guided Denoising Smoothingcited by 6
- 2025DSSmoothing: Toward Certified Dataset Ownership Verification for Pre-trained Language Models via Dual-Space Smoothingcited by 2
- 2025Adversarially Robust Detection of Harmful Online Content: A Computational Design Science Approachcited by 0
- 2026Certified Multi-Turn Robustness for LLM Safety via Compositional Bounds and Safety Persistencecited by 0
- 2026Certified Multi-Turn Robustness for LLM Safety via Compositional Bounds and Safety Persistence21 Aug 2026
- 2025Adversarially Robust Detection of Harmful Online Content: A Computational Design Science Approach19 Dec 2025
- 2025CluCERT: Certifying LLM Robustness via Clustering-Guided Denoising Smoothing1 Dec 2025
- 2025DSSmoothing: Toward Certified Dataset Ownership Verification for Pre-trained Language Models via Dual-Space Smoothing17 Oct 2025
- 2024Operationalizing a Threat Model for Red-Teaming Large Language Models (LLMs)20 Jul 2024
- 2024Advancing the Robustness of Large Language Models through Self-Denoised Smoothing18 Apr 2024
- 2023Certifying LLM Safety against Adversarial Prompting6 Sep 2023
- 2021Adversarial GLUE: A Multi-Task Benchmark for Robustness Evaluation of Language Modelscited by 227
- 2021On the Adversarial Robustness of Vision Transformerscited by 104
- 2022Why Should Adversarial Perturbations be Imperceptible? Rethink the Research Paradigm in Adversarial NLPcited by 99
- 2023A Survey of Safety and Trustworthiness of Large Language Models through the Lens of Verification and Validationcited by 91
- 2021Certified Robustness to Text Adversarial Attacks by Randomized [MASK]cited by 57
- 2021Searching for an Effective Defender: Benchmarking Defense against Adversarial Word Substitutioncited by 55
- 2023Text-CRS: A Generalized Certified Robustness Framework against Textual Adversarial Attackscited by 32
- 2021Defending Pre-trained Language Models from Adversarial Word Substitutions Without Performance Sacrificecited by 30
- 2022Certified Robustness Against Natural Language Attacks by Causal Interventioncited by 23
- 2023Certified Robustness for Large Language Models with Self-Denoisingcited by 23
- 2022A Survey of Adversarial Defences and Robustness in NLPcited by 22
- 2021Improving Zero-Shot Cross-Lingual Transfer Learning via Robust Trainingcited by 21
12 most cited of 61 All 61 (JSON)
- 2026SoK: Formal Methods for Fact-Checking and Information Integrity19 Sep 2026
- 2026S-GBT: Smooth Growth Bound Tensor for Certified Robustness Against Word Substitution Attacks in NLP11 Jun 2026
- 2026When Efficiency Backfires: Cascading LLMs Trigger Cascade Failure under Adversarial Attack17 May 2026
- 2026Certified Robustness under Heterogeneous Perturbations via Hybrid Randomized Smoothing13 May 2026
- 2025AdaptDel: Adaptable Deletion Rate Randomized Smoothing for Certified Robustness12 Nov 2025
- 2025Guided Perturbation Sensitivity (GPS): Detecting Adversarial Text via Embedding Stability and Word Importance6 Aug 2025
- 2025Adversarial Defence without Adversarial Defence: Enhancing Language Model Robustness via Instance-level Principal Component Removal29 Jul 2025
- 2025Bridging Robustness and Generalization Against Word Substitution Attacks in NLP via the Growth Bound Matrix Approach14 Jul 2025
- 2025GenoArmory: A Unified Evaluation Framework for Adversarial Attacks on Genomic Foundation Models16 May 2025
- 2025Towards the Worst-case Robustness of Large Language Models31 Jan 2025
- 2024ProTransformer: Robustify Transformers via Plug-and-Play Paradigm30 Oct 2024
- 2024CERT-ED: Certifiably Robust Text Classification for Edit Distance1 Aug 2024
12 newest of 61 All 61 (JSON)