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Understanding the learning dynamics of neural networks is one of the key issues for the improvement of optimization algorithms as well as for the theoretical comprehension of why deep neural nets work so well today. In this paper, we…

Machine Learning · Statistics 2021-03-18 Zhenyu Liao , Romain Couillet

Deep learning (DL) has been applied extensively in many computational imaging problems, often leading to superior performance over traditional iterative approaches. However, two important questions remain largely unanswered: first, how well…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Mo Deng , Shuai Li , Iksung Kang , Nicholas X. Fang , George Barbastathis

Overparameterized Neural Networks (NN) display state-of-the-art performance. However, there is a growing need for smaller, energy-efficient, neural networks tobe able to use machine learning applications on devices with limited…

Machine Learning · Statistics 2021-05-21 Soufiane Hayou , Jean-Francois Ton , Arnaud Doucet , Yee Whye Teh

Network representation learning (NRL) is an effective graph analytics technique and promotes users to deeply understand the hidden characteristics of graph data. It has been successfully applied in many real-world tasks related to network…

Social and Information Networks · Computer Science 2021-03-09 Ke Sun , Lei Wang , Bo Xu , Wenhong Zhao , Shyh Wei Teng , Feng Xia

Random projection (RP) is a powerful dimension reduction technique widely used in the analysis of high dimensional data. We demonstrate how this technique can be used to improve the computational efficiency of gravitational wave searches…

General Relativity and Quantum Cosmology · Physics 2019-06-11 Sumeet Kulkarni , Khun Sang Phukon , Amit Reza , Sukanta Bose , Anirban Dasgupta , Dilip Krishnaswamy , Anand S. Sengupta

We explore the robustness of recurrent neural networks when the computations within the network are noisy. One of the motivations for looking into this problem is to reduce the high power cost of conventional computing of neural network…

Machine Learning · Computer Science 2018-07-18 Minghai Qin , Dejan Vucinic

Recently, deep neural network (DNN) has been widely adopted in the design of intelligent communication systems thanks to its strong learning ability and low testing complexity. However, most current offline DNN-based methods still suffer…

Information Theory · Computer Science 2022-02-08 Jiabao Gao , Caijun Zhong , Geoffrey Ye Li , Zhaoyang Zhang

Despite the high performance achieved by deep neural networks on various tasks, extensive studies have demonstrated that small tweaks in the input could fail the model predictions. This issue of deep neural networks has led to a number of…

Machine Learning · Computer Science 2022-02-22 Ming-Chang Chiu , Xuezhe Ma

In this paper, we study deep diagonal circulant neural networks, that is deep neural networks in which weight matrices are the product of diagonal and circulant ones. Besides making a theoretical analysis of their expressivity, we…

Machine Learning · Computer Science 2019-11-22 Alexandre Araujo , Benjamin Negrevergne , Yann Chevaleyre , Jamal Atif

While successful for various computer vision tasks, deep neural networks have shown to be vulnerable to texture style shifts and small perturbations to which humans are robust. In this work, we show that the robustness of neural networks…

Computer Vision and Pattern Recognition · Computer Science 2021-05-04 Zhenlin Xu , Deyi Liu , Junlin Yang , Colin Raffel , Marc Niethammer

Low-rankness plays an important role in traditional machine learning, but is not so popular in deep learning. Most previous low-rank network compression methods compress networks by approximating pre-trained models and re-training. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-08-15 Kailing Guo , Zhenquan Lin , Canyang Chen , Xiaofen Xing , Fang Liu , Xiangmin Xu

In this paper, we study the problem of improving computational resource utilization of neural networks. Deep neural networks are usually over-parameterized for their tasks in order to achieve good performances, thus are likely to have…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Siyuan Qiao , Zhe Lin , Jianming Zhang , Alan Yuille

Neural network-based function approximation plays a pivotal role in the advancement of scientific computing and machine learning. Yet, training such models faces several challenges: (i) each target function often requires training a new…

Machine Learning · Computer Science 2025-10-13 Xinwen Hu , Yunqing Huang , Nianyu Yi , Peimeng Yin

Recent theoretical work has demonstrated that deep neural networks have superior performance over shallow networks, but their training is more difficult, e.g., they suffer from the vanishing gradient problem. This problem can be typically…

Machine Learning · Statistics 2021-11-03 Lu Lu , Yanhui Su , George Em Karniadakis

Reinforcement Learning (RL), bolstered by the expressive capabilities of Deep Neural Networks (DNNs) for function approximation, has demonstrated considerable success in numerous applications. However, its practicality in addressing various…

Machine Learning · Computer Science 2024-04-26 Aditya Mohan , Amy Zhang , Marius Lindauer

Training a deep neural network to maximize a target objective has become the standard recipe for successful machine learning over the last decade. These networks can be optimized with supervised learning, if the target objective is…

Machine Learning · Computer Science 2025-05-12 Bernhard Jaeger , Andreas Geiger

Unified understanding of neuro networks (NNs) gets the users into great trouble because they have been puzzled by what kind of rules should be obeyed to optimize the internal structure of NNs. Considering the potential capability of random…

Machine Learning · Computer Science 2022-01-03 Ruiqi Mao , Rongxin Cui

Deep neural networks (DNNs) have brought significant advancements in various applications in recent years, such as image recognition, speech recognition, and natural language processing. In particular, Vision Transformers (ViTs) have…

Machine Learning · Computer Science 2025-03-07 Leonid Berlyand , Theo Bourdais , Houman Owhadi , Yitzchak Shmalo

To have a superior generalization, a deep learning neural network often involves a large size of training sample. With increase of hidden layers in order to increase learning ability, neural network has potential degradation in accuracy.…

Machine Learning · Computer Science 2019-01-01 Lianfa Li , Ying Fang , Jun Wu , Jinfeng Wang

Deep neural networks (DNNs) have recently achieved great success in many visual recognition tasks. However, existing deep neural network models are computationally expensive and memory intensive, hindering their deployment in devices with…

Machine Learning · Computer Science 2020-06-16 Yu Cheng , Duo Wang , Pan Zhou , Tao Zhang