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Extensive research on formal verification of machine learning (ML) systems indicates that learning from data alone often fails to capture underlying background knowledge. A variety of verifiers have been developed to ensure that a…

Logic in Computer Science · Computer Science 2023-11-17 Thomas Flinkow , Barak A. Pearlmutter , Rosemary Monahan

The rising popularity of neural networks (NNs) in recent years and their increasing prevalence in real-world applications have drawn attention to the importance of their verification. While verification is known to be computationally…

Artificial Intelligence · Computer Science 2022-07-15 Natalia Slusarz , Ekaterina Komendantskaya , Matthew L. Daggitt , Robert Stewart

In recent years, there has been an increasing interest in exploiting logically specified background knowledge in order to obtain neural models (i) with a better performance, (ii) able to learn from less data, and/or (iii) guaranteed to be…

Artificial Intelligence · Computer Science 2023-06-21 Eleonora Giunchiglia , Mihaela Catalina Stoian , Thomas Lukasiewicz

Neural networks have been shown to frequently fail to learn critical safety and correctness properties purely from data, highlighting the need for training methods that directly integrate logical specifications. While adversarial training…

Machine Learning · Computer Science 2025-06-25 Thomas Flinkow , Marco Casadio , Colin Kessler , Rosemary Monahan , Ekaterina Komendantskaya

The increased reliance of self-driving vehicles on neural networks opens up the challenge of their verification. In this paper we present an experience report, describing a case study which we undertook to explore the design and training of…

Logic in Computer Science · Computer Science 2024-11-22 Syed Ali Asadullah Bukhari , Thomas Flinkow , Medet Inkarbekov , Barak A. Pearlmutter , Rosemary Monahan

Neural networks are among the most accurate supervised learning methods in use today, but their opacity makes them difficult to trust in critical applications, especially when conditions in training differ from those in test. Recent work on…

Machine Learning · Computer Science 2017-11-15 Andrew Slavin Ross , Michael C. Hughes , Finale Doshi-Velez

Neural networks are among the most accurate supervised learning methods in use today. However, their opacity makes them difficult to trust in critical applications, especially when conditions in training may differ from those in practice.…

Machine Learning · Computer Science 2018-10-03 Andrew Slavin Ross

This paper proposes a new algorithmic framework, predictor-verifier training, to train neural networks that are verifiable, i.e., networks that provably satisfy some desired input-output properties. The key idea is to simultaneously train…

While neural models show remarkable accuracy on individual predictions, their internal beliefs can be inconsistent across examples. In this paper, we formalize such inconsistency as a generalization of prediction error. We propose a…

Artificial Intelligence · Computer Science 2019-09-16 Tao Li , Vivek Gupta , Maitrey Mehta , Vivek Srikumar

Classic algorithms and machine learning systems like neural networks are both abundant in everyday life. While classic computer science algorithms are suitable for precise execution of exactly defined tasks such as finding the shortest path…

Machine Learning · Computer Science 2022-09-02 Felix Petersen

Learning-based methods could provide solutions to many of the long-standing challenges in control. However, the neural networks (NNs) commonly used in modern learning approaches present substantial challenges for analyzing the resulting…

Machine Learning · Computer Science 2022-02-03 Michael Everett

Neural networks are one of the most investigated and widely used techniques in Machine Learning. In spite of their success, they still find limited application in safety- and security-related contexts, wherein assurance about networks'…

Artificial Intelligence · Computer Science 2018-05-28 Francesco Leofante , Nina Narodytska , Luca Pulina , Armando Tacchella

The problem of designing learners that provide guarantees that their predictions are provably correct is of increasing importance in machine learning. However, learning theoretic guarantees have only been considered in very specific…

Machine Learning · Computer Science 2023-10-31 Maria-Florina Balcan , Steve Hanneke , Rattana Pukdee , Dravyansh Sharma

Deep neural networks are powerful tools to detect hidden patterns in data and leverage them to make predictions, but they are not designed to understand uncertainty and estimate reliable probabilities. In particular, they tend to be…

Machine Learning · Statistics 2022-11-10 Bat-Sheva Einbinder , Yaniv Romano , Matteo Sesia , Yanfei Zhou

Fairness in machine learning is more important than ever as ethical concerns continue to grow. Individual fairness demands that individuals differing only in sensitive attributes receive the same outcomes. However, commonly used machine…

Machine Learning · Computer Science 2025-08-22 Ruihan Zhang , Jun Sun

As privacy concerns escalate in the realm of machine learning, data owners now have the option to utilize machine unlearning to remove their data from machine learning models, following recent legislation. To enhance transparency in machine…

Machine Learning · Computer Science 2026-04-23 Binchi Zhang , Zihan Chen , Cong Shen , Jundong Li

Chain-of-Thought reasoning has emerged as a powerful approach for solving complex mathematical and logical problems. However, it can often veer off track through incorrect or unsubstantiated inferences. Formal mathematical reasoning, which…

Machine Learning · Computer Science 2026-02-16 Maria-Florina Balcan , Avrim Blum , Zhiyuan Li , Dravyansh Sharma

In the past years, deep learning models have been successfully applied in several cognitive tasks. Originally inspired by neuroscience, these models are specific examples of differentiable programs. In this paper we define and motivate…

Machine Learning · Computer Science 2022-05-17 Adrián Hernández , Gilles Millerioux , José M. Amigó

A verification code is an automated test method used to distinguish between humans and computers. Humans can easily identify verification codes, whereas machines cannot. With the development of convolutional neural networks, automatically…

Cryptography and Security · Computer Science 2019-02-13 Dongliang Xu , Bailing Wang , XiaoJiang Du , Xiaoyan Zhu , zhitao Guan , Xiaoyan Yu , Jingyu Liu

AI Safety is a major concern in many deep learning applications such as autonomous driving. Given a trained deep learning model, an important natural problem is how to reliably verify the model's prediction. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Tong Che , Xiaofeng Liu , Site Li , Yubin Ge , Ruixiang Zhang , Caiming Xiong , Yoshua Bengio
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