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Related papers: Correctness Verification of Neural Networks

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Deep neural networks have proven remarkably effective at solving many classification problems, but have been criticized recently for two major weaknesses: the reasons behind their predictions are uninterpretable, and the predictions…

Machine Learning · Computer Science 2017-11-28 Andrew Slavin Ross , Finale Doshi-Velez

Neural networks (NNs) are increasingly applied in safety-critical systems such as autonomous vehicles. However, they are fragile and are often ill-behaved. Consequently, their behaviors should undergo rigorous guarantees before deployment…

Machine Learning · Computer Science 2023-06-28 Zhen Liang , Dejin Ren , Bai Xue , Ji Wang , Wenjing Yang , Wanwei Liu

The design of genetic networks with specific functions is one of the major goals of synthetic biology. However, constructing biological devices that work "as required" remains challenging, while the cost of uncovering flawed designs…

Systems and Control · Computer Science 2011-11-10 Boyan Yordanov , Calin Belta

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

Neural networks (NNs) are increasingly applied in safety-critical systems such as autonomous vehicles. However, they are fragile and are often ill-behaved. Consequently, their behaviors should undergo rigorous guarantees before deployment…

Artificial Intelligence · Computer Science 2022-10-11 Zhen Liang , Dejin Ren , Wanwei Liu , Ji Wang , Wenjing Yang , Bai Xue

Local robustness ensures that a model classifies all inputs within an $\ell_2$-ball consistently, which precludes various forms of adversarial inputs. In this paper, we present a fast procedure for checking local robustness in feed-forward…

Machine Learning · Computer Science 2021-02-19 Aymeric Fromherz , Klas Leino , Matt Fredrikson , Bryan Parno , Corina Păsăreanu

Implicit neural networks are a general class of learning models that replace the layers in traditional feedforward models with implicit algebraic equations. Compared to traditional learning models, implicit networks offer competitive…

Machine Learning · Computer Science 2021-12-13 Saber Jafarpour , Matthew Abate , Alexander Davydov , Francesco Bullo , Samuel Coogan

Neural Ordinary Differential Equations (NODEs) are a novel neural architecture, built around initial value problems with learned dynamics which are solved during inference. Thought to be inherently more robust against adversarial…

Machine Learning · Computer Science 2023-03-10 Mustafa Zeqiri , Mark Niklas Müller , Marc Fischer , Martin Vechev

A natural and informal approach to verifiable (or zero-knowledge) ML inference over floating-point data is: ``prove that each layer was computed correctly up to tolerance $\delta$; therefore the final output is a reasonable inference…

Cryptography and Security · Computer Science 2026-02-18 Or Zamir

QNNVerifier is the first open-source tool for verifying implementations of neural networks that takes into account the finite word-length (i.e. quantization) of their operands. The novel support for quantization is achieved by employing…

Artificial Intelligence · Computer Science 2021-11-29 Xidan Song , Edoardo Manino , Luiz Sena , Erickson Alves , Eddie de Lima Filho , Iury Bessa , Mikel Lujan , Lucas Cordeiro

This paper presents a specification-guided safety verification method for feedforward neural networks with general activation functions. As such feedforward networks are memoryless, they can be abstractly represented as mathematical…

Machine Learning · Computer Science 2018-12-18 Weiming Xiang , Hoang-Dung Tran , Taylor T. Johnson

Network reliability measures the probability that a target node is reachable from a source node in an uncertain graph, i.e., a graph where every edge is associated with a probability of existence. In this paper, we investigate the novel and…

Databases · Computer Science 2020-05-26 Xiangyu Ke , Arijit Khan , Mohammad Al Hasan , Rojin Rezvansangsari

Learning monotonic models with respect to a subset of the inputs is a desirable feature to effectively address the fairness, interpretability, and generalization issues in practice. Existing methods for learning monotonic neural networks…

Machine Learning · Computer Science 2022-12-16 Xingchao Liu , Xing Han , Na Zhang , Qiang Liu

Neural networks are increasingly deployed in scientific, safety critical, and mission critical pipelines, yet verification and analysis are often performed outside the programming environment that defines and runs the model. This creates a…

Mathematical Software · Computer Science 2026-05-26 Robert Joseph George , Jennifer Cruden , Will Adkisson , Xiangru Zhong , Huan Zhang , Anima Anandkumar

Current deep neural networks suffer from two problems; first, they are hard to interpret, and second, they suffer from overfitting. There have been many attempts to define interpretability in neural networks, but they typically lack…

Machine Learning · Computer Science 2019-08-15 Sean Tao

Robustness verification of neural networks, referring to formally proving that neural networks satisfy robustness properties, is of crucial importance in safety-critical applications, where model failures can result in loss of human life or…

Machine Learning · Computer Science 2026-04-06 Minh Le , Phuong Cao

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

To handle AI tasks that combine perception and logical reasoning, recent work introduces Neurosymbolic Deep Neural Networks (NS-DNNs), which contain -- in addition to traditional neural layers -- symbolic layers: symbolic expressions (e.g.,…

Machine Learning · Computer Science 2024-02-07 Aaron Bembenek , Toby Murray

Matrix completion problems arise in many applications including recommendation systems, computer vision, and genomics. Increasingly larger neural networks have been successful in many of these applications, but at considerable computational…

Machine Learning · Computer Science 2022-05-11 Adityanarayanan Radhakrishnan , George Stefanakis , Mikhail Belkin , Caroline Uhler

Efficient model selection for identifying a suitable pre-trained neural network to a downstream task is a fundamental yet challenging task in deep learning. Current practice requires expensive computational costs in model training for…

Machine Learning · Computer Science 2022-01-19 Chunheng Jiang , Tejaswini Pedapati , Pin-Yu Chen , Yizhou Sun , Jianxi Gao