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Robustness certification, which aims to formally certify the predictions of neural networks against adversarial inputs, has become an integral part of important tool for safety-critical applications. Despite considerable progress, existing…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Daqian Shao , Lukas Fesser , Marta Kwiatkowska

Formal verification is only as good as the specification of a system, which is also true for neural network verification. Existing specifications follow the paradigm of data as specification, where the local neighborhood around a reference…

Machine Learning · Computer Science 2025-03-17 Chuqin Geng , Zhaoyue Wang , Haolin Ye , Xujie Si

As machine learning systems are increasingly used to make real world legal and financial decisions, it is of paramount importance that we develop algorithms to verify that these systems do not discriminate against minorities. We design a…

Artificial Intelligence · Computer Science 2020-01-01 Osbert Bastani , Xin Zhang , Armando Solar-Lezama

Adversarial examples pose a security risk as they can alter decisions of a machine learning classifier through slight input perturbations. Certified robustness has been proposed as a mitigation where given an input $\mathbf{x}$, a…

Cryptography and Security · Computer Science 2024-09-10 Jiankai Jin , Olga Ohrimenko , Benjamin I. P. Rubinstein

Machine learning methods are increasingly applied in medical imaging, yet many reported improvements lack statistical robustness: recent works have highlighted that small but significant performance gains are highly likely to be false…

Machine Learning · Computer Science 2025-11-05 Thomas Sanchez , Pedro M. Gordaliza , Meritxell Bach Cuadra

Convolutional image classifiers can achieve high predictive accuracy, but quantifying their uncertainty remains an unresolved challenge, hindering their deployment in consequential settings. Existing uncertainty quantification techniques,…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Anastasios Angelopoulos , Stephen Bates , Jitendra Malik , Michael I. Jordan

Autonomous systems -- such as self-driving cars, autonomous drones, and automated trains -- must come with strong safety guarantees. Over the past decade, techniques based on formal methods have enjoyed some success in providing strong…

Software Engineering · Computer Science 2020-06-17 Nathan Fulton , Nathan Hunt , Nghia Hoang , Subhro Das

Current deep neural networks are highly overparameterized (up to billions of connection weights) and nonlinear. Yet they can fit data almost perfectly through variants of gradient descent algorithms and achieve unexpected levels of…

Deep neural networks are behind many of the recent successes in machine learning applications. However, these models can produce overconfident decisions while encountering out-of-distribution (OOD) examples or making a wrong prediction.…

Machine Learning · Computer Science 2021-06-24 Navid Kardan , Ankit Sharma , Kenneth O. Stanley

In the context of neural network models, overparametrization refers to the phenomena whereby these models appear to generalize well on the unseen data, even though the number of parameters significantly exceeds the sample sizes, and the…

Machine Learning · Statistics 2020-03-25 Matt Emschwiller , David Gamarnik , Eren C. Kızıldağ , Ilias Zadik

Measurement error is a pervasive issue which renders the results of an analysis unreliable. The measurement error literature contains numerous correction techniques, which can be broadly divided into those which aim to produce exactly…

Methodology · Statistics 2021-11-08 Dylan Spicker , Michael P Wallace , Grace Y Yi

Formal verification of complex algorithms is challenging. Verifying their implementations goes beyond the state of the art of current automatic verification tools and usually involves intricate mathematical theorems. Certifying algorithms…

Logic in Computer Science · Computer Science 2013-02-01 Eyad Alkassar , Sascha Böhme , Kurt Mehlhorn , Christine Rizkallah

Intuitively, unfamiliarity should lead to lack of confidence. In reality, current algorithms often make highly confident yet wrong predictions when faced with relevant but unfamiliar examples. A classifier we trained to recognize gender is…

Computer Vision and Pattern Recognition · Computer Science 2020-09-09 Zhizhong Li , Derek Hoiem

Neural network verifiers aim to provide formal guarantees on model behavior, but existing verification benchmarks are fundamentally limited by their lack of ground-truth labels. As a result, verifier evaluation relies on indirect…

Machine Learning · Computer Science 2026-05-19 David Troxell , Yulia Alexandr , Sofia Hunt , Stephanie Lei , Guido Montúfar

Large-scale pre-trained models have achieved remarkable success in many applications, but how to leverage them to improve the prediction reliability of downstream models is undesirably under-explored. Moreover, modern neural networks have…

Machine Learning · Computer Science 2023-10-31 Peng Cui , Dan Zhang , Zhijie Deng , Yinpeng Dong , Jun Zhu

Local certification is a distributed mechanism enabling the nodes of a network to check the correctness of the current configuration, thanks to small pieces of information called certificates. For many classic global properties, like…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-27 Nicolas Bousquet , Laurent Feuilloley , Sébastien Zeitoun

Certifying the correct functioning of a unitary channel is a critical step toward reliable quantum information processing. In this work, we investigate the query complexity of the unitary channel certification task: testing whether a given…

Quantum Physics · Physics 2026-01-06 Sangwoo Jeon , Changhun Oh

Deep neural networks' remarkable ability to correctly fit training data when optimized by gradient-based algorithms is yet to be fully understood. Recent theoretical results explain the convergence for ReLU networks that are wider than…

Machine Learning · Computer Science 2021-02-09 Asaf Noy , Yi Xu , Yonathan Aflalo , Lihi Zelnik-Manor , Rong Jin

Trustworthiness in neural networks is crucial for their deployment in critical applications, where reliability, confidence, and uncertainty play pivotal roles in decision-making. Traditional performance metrics such as accuracy and…

Machine Learning · Computer Science 2025-09-05 Koffi Ismael Ouattara , Ioannis Krontiris , Theo Dimitrakos , Frank Kargl

While the evaluation of explanations is an important step towards trustworthy models, it needs to be done carefully, and the employed metrics need to be well-understood. Specifically model randomization testing is often overestimated and…