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Deep neural networks are among the most widely applied machine learning tools showing outstanding performance in a broad range of tasks. We present a method for folding a deep neural network of arbitrary size into a single neuron with…

Machine Learning · Computer Science 2021-09-15 Florian Stelzer , André Röhm , Raul Vicente , Ingo Fischer , Serhiy Yanchuk

Understanding what kinds of cooperative structures deep neural networks (DNNs) can represent remains a fundamental yet insufficiently understood problem. In this work, we treat interactions as the fundamental units of such structure and…

Machine Learning · Computer Science 2025-12-23 Huiqi Deng , Qihan Ren , Zhuofan Chen , Zhenyuan Cui , Wen Shen , Peng Zhang , Hongbin Pei , Quanshi Zhang

Deep Learning (DL) applications are being used to solve problems in critical domains (e.g., autonomous driving or medical diagnosis systems). Thus, developers need to debug their systems to ensure that the expected behavior is delivered.…

Software Engineering · Computer Science 2023-07-19 Mohammad Wardat , Breno Dantas Cruz , Wei Le , Hridesh Rajan

Deep Feedback Models (DFMs) are a new class of stateful neural networks that combine bottom up input with high level representations over time. This feedback mechanism introduces dynamics into otherwise static architectures, enabling DFMs…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 David Calhas , Arlindo L. Oliveira

Continual learning (CL), which aims to learn a sequence of tasks, has attracted significant recent attention. However, most work has focused on the experimental performance of CL, and theoretical studies of CL are still limited. In…

Machine Learning · Computer Science 2023-02-14 Sen Lin , Peizhong Ju , Yingbin Liang , Ness Shroff

Compared with avid research activities of deep convolutional neural networks (DCNNs) in practice, the study of theoretical behaviors of DCNNs lags heavily behind. In particular, the universal consistency of DCNNs remains open. In this…

Machine Learning · Computer Science 2021-06-24 Shao-Bo Lin , Kaidong Wang , Yao Wang , Ding-Xuan Zhou

Deep neural network architectures often consist of repetitive structural elements. We introduce an approach that reveals these patterns and can be broadly applied to the study of deep learning. Similarly to how a power strip helps untangle…

Statistical Mechanics · Physics 2025-07-03 Donghee Lee , Hye-Sung Lee , Jaeok Yi

Despite their unprecedented success, DNNs are notoriously fragile to small shifts in data distribution, demanding effective testing techniques that can assess their dependability. Despite recent advances in DNN testing, there is a lack of…

Machine Learning · Computer Science 2024-03-26 Sondess Missaoui , Simos Gerasimou , Nikolaos Matragkas

This paper focuses on the domain generalization task where domain knowledge is unavailable, and even worse, only samples from a single domain can be utilized during training. Our motivation originates from the recent progresses in deep…

Machine Learning · Computer Science 2022-03-08 Chris Xing Tian , Haoliang Li , Xiaofei Xie , Yang Liu , Shiqi Wang

Deep Learning (DL) powered by Deep Neural Networks (DNNs) has revolutionized various domains, yet understanding the intricacies of DNN decision-making and learning processes remains a significant challenge. Recent investigations have…

Machine Learning · Computer Science 2024-06-07 Jiaheng Wei , Yanjun Zhang , Leo Yu Zhang , Ming Ding , Chao Chen , Kok-Leong Ong , Jun Zhang , Yang Xiang

Recent studies have noted an intriguing phenomenon termed Neural Collapse, that is, when the neural networks establish the right correlation between feature spaces and the training targets, their last-layer features, together with the…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Yining Wang , Junjie Sun , Chenyue Wang , Mi Zhang , Min Yang

In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the…

Numerical Analysis · Mathematics 2021-04-15 Babak Maboudi Afkham , Julianne Chung , Matthias Chung

The success of deep learning has been due, in no small part, to the availability of large annotated datasets. Thus, a major bottleneck in current learning pipelines is the time-consuming human annotation of data. In scenarios where such…

Machine Learning · Computer Science 2021-01-29 Alona Golts , Daniel Freedman , Michael Elad

We propose that learning in deep neural networks proceeds in two phases: a rapid curve fitting phase followed by a slower compression or coarse graining phase. This view is supported by the shared temporal structure of three phenomena:…

High Energy Physics - Theory · Physics 2025-07-28 Robert de Mello Koch , Animik Ghosh

Deep neural networks (DNNs) have been widely used in many fields such as images processing, speech recognition; however, they are vulnerable to adversarial examples, and this is a security issue worthy of attention. Because the training…

Cryptography and Security · Computer Science 2019-08-08 Wenjian Luo , Chenwang Wu , Nan Zhou , Li Ni

Deep neural networks (DNNs) are powerful learning machines that have enabled breakthroughs in several domains. In this work, we introduce a new retrospective loss to improve the training of deep neural network models by utilizing the prior…

Computer Vision and Pattern Recognition · Computer Science 2020-06-25 Surgan Jandial , Ayush Chopra , Mausoom Sarkar , Piyush Gupta , Balaji Krishnamurthy , Vineeth Balasubramanian

Deep Neural Networks (DNNs) have been successfully applied to a wide range of problems. However, two main limitations are commonly pointed out. The first one is that they require long time to design. The other is that they heavily rely on…

Neural and Evolutionary Computing · Computer Science 2024-06-21 Adriano Vinhas , João Correia , Penousal Machado

Not only are Deep Neural Networks (DNNs) black box models, but also we frequently conceptualize them as such. We lack good interpretations of the mechanisms linking inputs to outputs. Therefore, we find it difficult to analyze in…

Machine Learning · Computer Science 2020-06-29 Christopher Snyder , Sriram Vishwanath

In recent years neural networks have achieved impressive results on many technological and scientific tasks. Yet, the mechanism through which these models automatically select features, or patterns in data, for prediction remains unclear.…

Machine Learning · Computer Science 2023-05-11 Adityanarayanan Radhakrishnan , Daniel Beaglehole , Parthe Pandit , Mikhail Belkin

The capability of Deep Neural Networks (DNNs) to recognize objects in orientations outside the distribution of the training data is not well understood. We present evidence that DNNs are capable of generalizing to objects in novel…

Computer Vision and Pattern Recognition · Computer Science 2023-07-14 Avi Cooper , Xavier Boix , Daniel Harari , Spandan Madan , Hanspeter Pfister , Tomotake Sasaki , Pawan Sinha
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