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Formal verification of neural networks is essential before their deployment in safety-critical applications. However, existing methods for formally verifying neural networks are not yet scalable enough to handle practical problems under…

Machine Learning · Computer Science 2025-07-08 Tobias Ladner , Matthias Althoff

Deep neural networks possess strong representational capacity yet remain vulnerable to overfitting, primarily because neurons tend to co-adapt in ways that, while capturing complex and fine-grained feature interactions, also reinforce…

Machine Learning · Computer Science 2025-12-16 Gelesh G Omathil , Sreeja CS

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

There has recently been an increasing desire to evaluate neural networks locally on computationally-limited devices in order to exploit their recent effectiveness for several applications; such effectiveness has nevertheless come together…

Machine Learning · Computer Science 2019-10-25 Hossein Baktash , Emanuele Natale , Laurent Viennot

A plethora of recent research has focused on improving the memory footprint and inference speed of deep networks by reducing the complexity of (i) numerical representations (for example, by deterministic or stochastic quantization) and (ii)…

Machine Learning · Computer Science 2019-04-05 David Hartmann , Michael Wand

Neural networks offer high-accuracy solutions to a range of problems, but are costly to run in production systems because of computational and memory requirements during a forward pass. Given a trained network, we propose a techique called…

Computer Vision and Pattern Recognition · Computer Science 2018-06-18 Michele Pratusevich

Neural network verification aims at providing formal guarantees on the output of trained neural networks, to ensure their robustness against adversarial examples and enable their deployment in safety-critical applications. This paper…

Optimization and Control · Mathematics 2024-04-02 Haoruo Zhao , Hassan Hijazi , Haydn Jones , Juston Moore , Mathieu Tanneau , Pascal Van Hentenryck

Neural networks have been extensively applied to a variety of tasks, achieving astounding results. Applying neural networks in the scientific field is an important research direction that is gaining increasing attention. In scientific…

Machine Learning · Computer Science 2024-07-02 Tianyi Chen , Zhi-Qin John Xu

Deep neural networks (DNNs) are being utilized in various aspects of our daily lives, including high-stakes decision-making applications that impact individuals. However, these systems reflect and amplify bias from the data used during…

Machine Learning · Computer Science 2025-08-12 Moses Openja , Paolo Arcaini , Foutse Khomh , Fuyuki Ishikawa

In this paper, we propose a method of repairing compressed Feedforward Neural Networks (FNNs) based on equivalence evaluation of two neural networks. In the repairing framework, a novel neural network equivalence evaluation method is…

Machine Learning · Computer Science 2024-02-20 Zihao Mo , Yejiang Yang , Shuaizheng Lu , Weiming Xiang

Neural networks, a central tool in machine learning, have demonstrated remarkable, high fidelity performance on image recognition and classification tasks. These successes evince an ability to accurately represent high dimensional…

Machine Learning · Statistics 2023-02-08 Grant M. Rotskoff , Eric Vanden-Eijnden

Neural networks (NNs) can achieved high performance in various fields such as computer vision, and natural language processing. However, deploying NNs in resource-constrained safety-critical systems has challenges due to uncertainty in the…

Machine Learning · Computer Science 2024-01-17 Soyed Tuhin Ahmed

Deep neural networks are state-of-the-art models for understanding the content of images, video and raw input data. However, implementing a deep neural network in embedded systems is a challenging task, because a typical deep neural…

Machine Learning · Computer Science 2016-04-22 Xichuan Zhou , Shengli Li , Kai Qin , Kunping Li , Fang Tang , Shengdong Hu , Shujun Liu , Zhi Lin

Recently, formal verification of deep neural networks (DNNs) has garnered considerable attention, and over-approximation based methods have become popular due to their effectiveness and efficiency. However, these strategies face challenges…

Artificial Intelligence · Computer Science 2024-01-24 Zhen Liang , Taoran Wu , Ran Zhao , Bai Xue , Ji Wang , Wenjing Yang , Shaojun Deng , Wanwei Liu

The increasing use of deep neural networks for safety-critical applications, such as autonomous driving and flight control, raises concerns about their safety and reliability. Formal verification can address these concerns by guaranteeing…

Artificial Intelligence · Computer Science 2018-02-06 Lindsey Kuper , Guy Katz , Justin Gottschlich , Kyle Julian , Clark Barrett , Mykel Kochenderfer

Deep neural networks (DNNs) have shown their success as high-dimensional function approximators in many applications; however, training DNNs can be challenging in general. DNN training is commonly phrased as a stochastic optimization…

Machine Learning · Computer Science 2021-09-30 Elizabeth Newman , Julianne Chung , Matthias Chung , Lars Ruthotto

Making neural networks robust against adversarial inputs has resulted in an arms race between new defenses and attacks. The most promising defenses, adversarially robust training and verifiably robust training, have limitations that…

Machine Learning · Computer Science 2018-12-04 Shiqi Wang , Yizheng Chen , Ahmed Abdou , Suman Jana

Though performed almost effortlessly by humans, segmenting 2D gray-scale or color images into respective regions of interest (e.g.~background, objects, or portions of objects) constitutes one of the greatest challenges in science and…

Computer Vision and Pattern Recognition · Computer Science 2023-08-23 Alexandre Benatti , Luciano da F. Costa

Formal verification of neural networks is essential for their deployment in safety-critical areas. Many available formal verification methods have been shown to be instances of a unified Branch and Bound (BaB) formulation. We propose a…

Machine Learning · Computer Science 2019-12-04 Jingyue Lu , M. Pawan Kumar

Deep neural networks (DNNs) have achieved remarkable success in object detection tasks, but their increasing complexity poses significant challenges for deployment on resource-constrained platforms. While model compression techniques such…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Abhinav Shukla , Nachiket Tapas
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