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The rise of deep learning has led to various successful attempts to apply deep neural networks (DNNs) for important networking tasks such as intrusion detection. Yet, running DNNs in the network control plane, as typically done in existing…

Cryptography and Security · Computer Science 2024-07-01 Kamran Razavi , Shayan Davari Fard , George Karlos , Vinod Nigade , Max Mühlhäuser , Lin Wang

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

In this article we address the problem of automatic answer checking in interactive learning systems that support mathematical notation. This problem consists of the problem of establishing identities in formal mathematical systems and hence…

Other Computer Science · Computer Science 2016-02-02 Vladimir G. Danilov , Ilya S. Turuntaev

With the widespread deployment of deep neural networks (DNNs), ensuring the reliability of DNN-based systems is of great importance. Serious reliability issues such as system failures can be caused by numerical defects, one of the most…

Software Engineering · Computer Science 2023-04-25 Linyi Li , Yuhao Zhang , Luyao Ren , Yingfei Xiong , Tao Xie

Deep Neural Networks (DNNs) have emerged as a powerful mechanism and are being increasingly deployed in real-world safety-critical domains. Despite the widespread success, their complex architecture makes proving any formal guarantees about…

Machine Learning · Computer Science 2020-03-26 Saket Dingliwal , Divyansh Pareek , Jatin Arora

Complex machine learning (ML) inference algorithms like recurrent neural networks (RNNs) use standard functions from math libraries like exponentiation, sigmoid, tanh, and reciprocal of square root. Although prior work on secure 2-party…

Cryptography and Security · Computer Science 2021-05-11 Deevashwer Rathee , Mayank Rathee , Rahul Kranti Kiran Goli , Divya Gupta , Rahul Sharma , Nishanth Chandran , Aseem Rastogi

Semidefinite programming (SDP) relaxation has emerged as a promising approach for neural network verification, offering tighter bounds than other convex relaxation methods for deep neural networks (DNNs) with ReLU activations. However, we…

Machine Learning · Computer Science 2025-06-13 Ryota Ueda , Takami Sato , Ken Kobayashi , Kazuhide Nakata

Polynomial Networks (PNs) have demonstrated promising performance on face and image recognition recently. However, robustness of PNs is unclear and thus obtaining certificates becomes imperative for enabling their adoption in real-world…

Machine Learning · Computer Science 2022-10-25 Elias Abad Rocamora , Mehmet Fatih Sahin , Fanghui Liu , Grigorios G Chrysos , Volkan Cevher

Existing methods for testing DNNs solve the oracle problem by constraining the raw features (e.g. image pixel values) to be within a small distance of a dataset example for which the desired DNN output is known. But this limits the kinds of…

Machine Learning · Computer Science 2021-06-02 Isaac Dunn , Hadrien Pouget , Daniel Kroening , Tom Melham

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

We study the problem of formal verification of Binarized Neural Networks (BNN), which have recently been proposed as a energy-efficient alternative to traditional learning networks. The verification of BNNs, using the reduction to hardware…

Software Engineering · Computer Science 2018-01-22 Chih-Hong Cheng , Georg Nührenberg , Chung-Hao Huang , Harald Ruess

Since training a deep neural network (DNN) is costly, the well-trained deep models can be regarded as valuable intellectual property (IP) assets. The IP protection associated with deep models has been receiving increasing attentions in…

Cryptography and Security · Computer Science 2023-03-22 Yiming Chen , Jinyu Tian , Xiangyu Chen , Jiantao Zhou

Neural networks offer a computationally efficient approximation of model predictive control, but they lack guarantees on the resulting controlled system's properties. Formal certification of neural networks is crucial for ensuring safety,…

Optimization and Control · Mathematics 2025-02-05 Philip Sosnin , Calvin Tsay

Deep Neural Networks (DNNs) have become key components of many safety-critical applications such as autonomous driving and medical diagnosis. However, DNNs have been shown suffering from poor robustness because of their susceptibility to…

Machine Learning · Computer Science 2020-07-28 Wenjie Wan , Zhaodi Zhang , Yiwei Zhu , Min Zhang , Fu Song

In the field of machine unlearning, certified unlearning has been extensively studied in convex machine learning models due to its high efficiency and strong theoretical guarantees. However, its application to deep neural networks (DNNs),…

Machine Learning · Computer Science 2026-04-23 Binchi Zhang , Yushun Dong , Tianhao Wang , Jundong Li

With the increasing extent of malware attacks in the present day along with the difficulty in detecting modern malware, it is necessary to evaluate the effectiveness and performance of Deep Neural Networks (DNNs) for malware classification.…

Cryptography and Security · Computer Science 2023-10-12 Akhil M R , Adithya Krishna V Sharma , Harivardhan Swamy , Pavan A , Ashray Shetty , Anirudh B Sathyanarayana

Image classifiers are an important component of today's software, from consumer and business applications to safety-critical domains. The advent of Deep Neural Networks (DNNs) is the key catalyst behind such wide-spread success. However,…

Software Engineering · Computer Science 2020-02-13 Yuchi Tian , Ziyuan Zhong , Vicente Ordonez , Gail Kaiser , Baishakhi Ray

The behaviour of neural network components must be proven correct before deployment in safety-critical systems. Unfortunately, existing neural network verification techniques cannot certify the absence of faults at the software level. In…

Software Engineering · Computer Science 2025-10-28 Edoardo Manino , Bruno Farias , Rafael Sá Menezes , Fedor Shmarov , Lucas C. Cordeiro

Neural network methods for PDEs require reliable error control in function space norms. However, trained neural networks can typically only be probed at a finite number of point values. Without strong assumptions, point evaluations alone do…

Numerical Analysis · Mathematics 2026-04-17 Johannes Gründler , Moritz Maibaum , Philipp Petersen

Despite the remarkable performance, Deep Neural Networks (DNNs) behave as black-boxes hindering user trust in Artificial Intelligence (AI) systems. Research on opening black-box DNN can be broadly categorized into post-hoc methods and…

Machine Learning · Computer Science 2021-06-25 Sandareka Wickramanayake , Wynne Hsu , Mong Li Lee
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