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Due to their increasing spread, confidence in neural network predictions became more and more important. However, basic neural networks do not deliver certainty estimates or suffer from over or under confidence. Many researchers have been…

Neural networks are often susceptible to minor perturbations in input that cause them to misclassify. A recent solution to this problem is the use of globally-robust neural networks, which employ a function to certify that the…

Programming Languages · Computer Science 2025-05-13 James Tobler , Hira Taqdees Syeda , Toby Murray

Deep learning relies on a very specific kind of neural networks: those superposing several neural layers. In the last few years, deep learning achieved major breakthroughs in many tasks such as image analysis, speech recognition, natural…

Artificial Intelligence · Computer Science 2018-02-01 Lê Nguyên Hoang , Rachid Guerraoui

The optimization foundations of deep linear networks have recently received significant attention. However, due to their inherent non-convexity and hierarchical structure, analyzing the loss functions of deep linear networks remains a…

Optimization and Control · Mathematics 2025-09-24 Po Chen , Rujun Jiang , Peng Wang

Deep neural networks (DNNs) have become one of the enabling technologies in many safety-critical applications, e.g., autonomous driving and medical image analysis. DNN systems, however, suffer from various kinds of threats, such as…

Machine Learning · Computer Science 2020-10-19 Yu Li , Min Li , Bo Luo , Ye Tian , Qiang Xu

Neural networks are increasingly relied upon as components of complex safety-critical systems such as autonomous vehicles. There is high demand for tools and methods that embed neural network verification in a larger verification cycle.…

Logic in Computer Science · Computer Science 2022-08-01 Remi Desmartin , Grant Passmore , Ekaterina Komendantskaya , Matthew Daggitt

Language models (LMs) built upon deep neural networks (DNNs) have recently demonstrated breakthrough effectiveness in software engineering tasks such as code generation, completion, and repair. This has paved the way for the emergence of…

Software Engineering · Computer Science 2025-01-06 Jingzhi Gong , Vardan Voskanyan , Paul Brookes , Fan Wu , Wei Jie , Jie Xu , Rafail Giavrimis , Mike Basios , Leslie Kanthan , Zheng Wang

Deep neural networks (DNNs) are currently widely used for many artificial intelligence (AI) applications including computer vision, speech recognition, and robotics. While DNNs deliver state-of-the-art accuracy on many AI tasks, it comes at…

Computer Vision and Pattern Recognition · Computer Science 2017-08-15 Vivienne Sze , Yu-Hsin Chen , Tien-Ju Yang , Joel Emer

Deep learning is transforming many areas in science, and it has great potential in modeling molecular systems. However, unlike the mature deployment of deep learning in computer vision and natural language processing, its development in…

Computational Physics · Physics 2021-03-19 Jun Zhang , Yao-Kun Lei , Zhen Zhang , Junhan Chang , Maodong Li , Xu Han , Lijiang Yang , Yi Isaac Yang , Yi Qin Gao

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

In traditional software programs, it is easy to trace program logic from variables back to input, apply assertion statements to block erroneous behavior, and compose programs together. Although deep learning programs have demonstrated…

Machine Learning · Computer Science 2021-10-27 Mike Wu , Noah Goodman , Stefano Ermon

Extensive research on formal verification of machine learning systems indicates that learning from data alone often fails to capture underlying background knowledge, such as specifications implicitly available in the data. Various neural…

Logic in Computer Science · Computer Science 2025-03-17 Thomas Flinkow , Barak A. Pearlmutter , Rosemary Monahan

Deep learning has recently become one of the most popular sub-fields of machine learning owing to its distributed data representation with multiple levels of abstraction. A diverse range of deep learning algorithms are being employed to…

Computer Vision and Pattern Recognition · Computer Science 2018-04-12 Rajat Kumar Sinha , Ruchi Pandey , Rohan Pattnaik

Deep Neural Networks (DNNs) are increasingly deployed in safety-critical applications including autonomous vehicles and medical diagnostics. To reduce the residual risk for unexpected DNN behaviour and provide evidence for their trustworthy…

Software Engineering · Computer Science 2019-02-19 Hasan Ferit Eniser , Simos Gerasimou , Alper Sen

Deep learning techniques have revolutionized the field of machine learning and were recently successfully applied to various classification problems in noninvasive electroencephalography (EEG). However, these methods were so far only rarely…

People believe that depth plays an important role in success of deep neural networks (DNN). However, this belief lacks solid theoretical justifications as far as we know. We investigate role of depth from perspective of margin bound. In…

Machine Learning · Computer Science 2015-12-01 Shizhao Sun , Wei Chen , Liwei Wang , Xiaoguang Liu , Tie-Yan Liu

With the proliferation of Deep Machine Learning into real-life applications, a particular property of this technology has been brought to attention: robustness Neural Networks notoriously present low robustness and can be highly sensitive…

Computation and Language · Computer Science 2022-07-14 Marco Casadio , Ekaterina Komendantskaya , Verena Rieser , Matthew L. Daggitt , Daniel Kienitz , Luca Arnaboldi , Wen Kokke

The growing use of deep neural networks (DNNs) in safety- and security-critical areas like autonomous driving raises the need for their systematic testing. Coverage-guided testing (CGT) is an approach that applies mutation or fuzzing…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Svetlana Pavlitskaya , Şiyar Yıkmış , J. Marius Zöllner

Despite the power of deep neural networks for a wide range of tasks, an overconfident prediction issue has limited their practical use in many safety-critical applications. Many recent works have been proposed to mitigate this issue, but…

Machine Learning · Computer Science 2020-08-14 Jooyoung Moon , Jihyo Kim , Younghak Shin , Sangheum Hwang

Although neural networks are widely used, it remains challenging to formally verify the safety and robustness of neural networks in real-world applications. Existing methods are designed to verify the network before deployment, which are…

Machine Learning · Computer Science 2023-02-06 Tianhao Wei , Changliu Liu