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The study of provable adversarial robustness has mostly been limited to classification tasks and models with one-dimensional real-valued outputs. We extend the scope of certifiable robustness to problems with more general and structured…

Machine Learning · Computer Science 2022-01-13 Aounon Kumar , Tom Goldstein

Output reachability and adversarial robustness are among the most relevant safety properties of neural networks. We show that in the context of Message Passing Neural Networks (MPNN), a common Graph Neural Network (GNN) model, formal…

Machine Learning · Computer Science 2022-10-05 Marco Sälzer , Martin Lange

The topic of provable deep neural network robustness has raised considerable interest in recent years. Most research has focused on adversarial robustness, which studies the robustness of perceptive models in the neighbourhood of particular…

Machine Learning · Computer Science 2019-11-26 Julien Girard-Satabin , Guillaume Charpiat , Zakaria Chihani , Marc Schoenauer

Formally verifying properties of software code has been a highly desirable task, especially with the emergence of LLM-generated code. In the same vein, they provide an interesting avenue for the exploration of formal verification and…

Artificial Intelligence · Computer Science 2025-10-02 Balaji Rao , William Eiers , Carlo Lipizzi

The robustness of neural networks is crucial in safety-critical applications, where identifying a reliable input space is essential for effective model selection, robustness evaluation, and the development of reliable control strategies.…

Machine Learning · Computer Science 2025-06-04 Mohamad Fares El Hajj Chehade , Wenting Li , Brian W. Bell , Russell Bent , Saif R. Kazi , Hao Zhu

Limited labeled data are available for the research of estimating facial expression intensities. For instance, the ability to train deep networks for automated pain assessment is limited by small datasets with labels of patient-reported…

Computer Vision and Pattern Recognition · Computer Science 2017-06-02 Feng Wang , Xiang Xiang , Chang Liu , Trac D. Tran , Austin Reiter , Gregory D. Hager , Harry Quon , Jian Cheng , Alan L. Yuille

Deep neural networks are widely used for nonlinear function approximation with applications ranging from computer vision to control. Although these networks involve the composition of simple arithmetic operations, it can be very challenging…

Machine Learning · Computer Science 2020-12-02 Changliu Liu , Tomer Arnon , Christopher Lazarus , Christopher Strong , Clark Barrett , Mykel J. Kochenderfer

Certifying neural network robustness against adversarial examples is challenging, as formal guarantees often require solving non-convex problems. Hence, incomplete verifiers are widely used because they scale efficiently and substantially…

Machine Learning · Computer Science 2026-02-05 Mohammadreza Maleki , Rushendra Sidibomma , Arman Adibi , Reza Samavi

Visual reasoning is challenging, requiring both precise object grounding and understanding complex spatial relationships. Existing methods fall into two camps: language-only chain-of-thought approaches, which demand large-scale (image,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Damiano Marsili , Georgia Gkioxari

Recent studies in deep learning have shown significant progress in named entity recognition (NER). Most existing works assume clean data annotation, yet a fundamental challenge in real-world scenarios is the large amount of noise from a…

Computation and Language · Computer Science 2021-04-13 Kun Liu , Yao Fu , Chuanqi Tan , Mosha Chen , Ningyu Zhang , Songfang Huang , Sheng Gao

Sensitivity of deep-neural models to input noise is known to be a challenging problem. In NLP, model performance often deteriorates with naturally occurring noise, such as spelling errors. To mitigate this issue, models may leverage…

Computation and Language · Computer Science 2021-11-18 Jakub Náplava , Martin Popel , Milan Straka , Jana Straková

We propose and investigate probabilistic guarantees for the adversarial robustness of classification algorithms. While traditional formal verification approaches for robustness are intractable and sampling-based approaches do not provide…

Machine Learning · Computer Science 2025-11-11 Peter Blohm , Patrick Indri , Thomas Gärtner , Sagar Malhotra

This work examines the challenges of training neural networks using vector quantization using straight-through estimation. We find that a primary cause of training instability is the discrepancy between the model embedding and the…

Machine Learning · Computer Science 2023-05-16 Minyoung Huh , Brian Cheung , Pulkit Agrawal , Phillip Isola

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

Methodology · Statistics 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

Verifiers can improve language model capabilities by scoring and ranking responses from generated candidates. Currently, high-quality verifiers are either unscalable (e.g., humans) or limited in utility (e.g., tools like Lean). While LM…

Great advances in deep neural networks (DNNs) have led to state-of-the-art performance on a wide range of tasks. However, recent studies have shown that DNNs are vulnerable to adversarial attacks, which have brought great concerns when…

Machine Learning · Computer Science 2023-04-13 Linyi Li , Tao Xie , Bo Li

The reliability of supervised machine learning systems depends on the accuracy and availability of ground truth labels. However, the process of human annotation, being prone to error, introduces the potential for noisy labels, which can…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 David Tschirschwitz , Christian Benz , Morris Florek , Henrik Norderhus , Benno Stein , Volker Rodehorst

Testing deep learning-based systems is crucial but challenging due to the required time and labor for labeling collected raw data. To alleviate the labeling effort, multiple test selection methods have been proposed where only a subset of…

Machine Learning · Computer Science 2023-08-03 Qiang Hu , Yuejun Guo , Xiaofei Xie , Maxime Cordy , Wei Ma , Mike Papadakis , Yves Le Traon

Theorem proving is fundamental to program verification, where the automated proof of Verification Conditions (VCs) remains a primary bottleneck. Real-world program verification frequently encounters hard VCs that existing Automated Theorem…

Artificial Intelligence · Computer Science 2026-01-29 Qiyuan Xu , Xiaokun Luan , Renxi Wang , Joshua Ong Jun Leang , Peixin Wang , Haonan Li , Wenda Li , Conrad Watt

Recent advances have shown that scaling test-time computation enables large language models (LLMs) to solve increasingly complex problems across diverse domains. One effective paradigm for test-time scaling (TTS) involves LLM generators…

Computation and Language · Computer Science 2026-04-15 Yefan Zhou , Austin Xu , Yilun Zhou , Janvijay Singh , Jiang Gui , Shafiq Joty