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Contraction metrics are crucial in control theory because they provide a powerful framework for analyzing stability, robustness, and convergence of various dynamical systems. However, identifying these metrics for complex nonlinear systems…

Optimization and Control · Mathematics 2025-04-25 Haoyu Li , Xiangru Zhong , Bin Hu , Huan Zhang

Image representations, from SIFT and bag of visual words to Convolutional Neural Networks (CNNs) are a crucial component of almost all computer vision systems. However, our understanding of them remains limited. In this paper we study…

Computer Vision and Pattern Recognition · Computer Science 2016-05-24 Aravindh Mahendran , Andrea Vedaldi

Nowadays, the Convolutional Neural Networks (CNNs) have achieved impressive performance on many computer vision related tasks, such as object detection, image recognition, image retrieval, etc. These achievements benefit from the CNNs…

Computer Vision and Pattern Recognition · Computer Science 2018-06-04 Zhuwei Qin , Fuxun Yu , Chenchen Liu , Xiang Chen

Modern convolutional neural networks (CNNs) are known to be overconfident in terms of their calibration on unseen input data. That is to say, they are more confident than they are accurate. This is undesirable if the probabilities predicted…

Machine Learning · Computer Science 2021-12-03 Guoxuan Xia , Sangwon Ha , Tiago Azevedo , Partha Maji

Convolutional Neural Networks (CNNs) have achieved state-of-the-art performance on a variety of computer vision tasks, particularly visual classification problems, where new algorithms reported to achieve or even surpass the human…

Computer Vision and Pattern Recognition · Computer Science 2017-08-09 Hossein Hosseini , Baicen Xiao , Mayoore Jaiswal , Radha Poovendran

While deep learning surpasses human-level performance in narrow and specific vision tasks, it is fragile and over-confident in classification. For example, minor transformations in perspective, illumination, or object deformation in the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-15 Maryam Daniali , Edward Kim

Convolutional Neural Networks (CNNs) are a standard approach for visual recognition due to their capacity to learn hierarchical representations from raw pixels. In practice, practitioners often choose among (i) training a compact custom CNN…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Annoor Sharara Akhand

Important insights towards the explainability of neural networks reside in the characteristics of their decision boundaries. In this work, we borrow tools from the field of adversarial robustness, and propose a new perspective that relates…

Machine Learning · Computer Science 2020-10-16 Guillermo Ortiz-Jimenez , Apostolos Modas , Seyed-Mohsen Moosavi-Dezfooli , Pascal Frossard

Convolutional Neural Networks (CNNs) define an exceptionally powerful class of models for image classification, but the theoretical background and the understanding of how invariances to certain transformations are learned is limited. In a…

Computer Vision and Pattern Recognition · Computer Science 2018-03-19 Charlotte Bunne , Lukas Rahmann , Thomas Wolf

This paper studies the reliability of a real-world learning-enabled system, which conducts dynamic vehicle tracking based on a high-resolution wide-area motion imagery input. The system consists of multiple neural network components -- to…

Computer Vision and Pattern Recognition · Computer Science 2020-02-07 Youcheng Sun , Yifan Zhou , Simon Maskell , James Sharp , Xiaowei Huang

Currently, many theoretical as well as practically relevant questions towards the transferability and robustness of Convolutional Neural Networks (CNNs) remain unsolved. While ongoing research efforts are engaging these problems from…

Computer Vision and Pattern Recognition · Computer Science 2022-10-26 Paul Gavrikov , Janis Keuper

Neural networks are part of many contemporary NLP systems, yet their empirical successes come at the price of vulnerability to adversarial attacks. Previous work has used adversarial training and data augmentation to partially mitigate such…

Computation and Language · Computer Science 2019-12-23 Po-Sen Huang , Robert Stanforth , Johannes Welbl , Chris Dyer , Dani Yogatama , Sven Gowal , Krishnamurthy Dvijotham , Pushmeet Kohli

Convolutional Neural Networks, as most artificial neural networks, are commonly viewed as methods different in essence from kernel-based methods. We provide a systematic translation of Convolutional Neural Networks (ConvNets) into their…

Machine Learning · Statistics 2019-03-20 Corinne Jones , Vincent Roulet , Zaid Harchaoui

This work in progress paper introduces robustness verification for autoencoder-based regression neural network (NN) models, following state-of-the-art approaches for robustness verification of image classification NNs. Despite the ongoing…

Machine Learning · Computer Science 2022-07-15 Neelanjana Pal , Taylor T Johnson

Deep Convolutional Neural Network (CNN) features have been demonstrated to be effective perceptual quality features. The perceptual loss, based on feature maps of pre-trained CNN's has proven to be remarkably effective for CNN based…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Taimoor Tariq , Juan Luis Gonzalez , Munchurl Kim

The convolution neural nets (conv nets) have achieved a state-of-the-art performance in many applications of image and video processing. The most recent studies illustrate that the conv nets are fragile in terms of recognition accuracy to…

Computer Vision and Pattern Recognition · Computer Science 2019-10-25 Sergey Tarasenko , Fumihiko Takahashi

Deep convolutional neural networks have been widely employed as an effective technique to handle complex and practical problems. However, one of the fundamental problems is the lack of formal methods to analyze their behavior. To address…

Computer Vision and Pattern Recognition · Computer Science 2021-06-24 Xiaodong Yang , Tomoya Yamaguchi , Hoang-Dung Tran , Bardh Hoxha , Taylor T Johnson , Danil Prokhorov

Network controllability measures how well a networked system can be controlled to a target state, and its robustness reflects how well the system can maintain the controllability against malicious attacks by means of node-removals or…

Systems and Control · Electrical Eng. & Systems 2022-06-02 Yang Lou , Yaodong He , Lin Wang , Guanrong Chen

Quantization, a commonly used technique to reduce the memory footprint of a neural network for edge computing, entails reducing the precision of the floating-point representation used for the parameters of the network. The impact of such…

Machine Learning · Computer Science 2019-03-27 Abhishek Murthy , Himel Das , Md Ariful Islam

Convolutional neural networks have been successfully applied to various NLP tasks. However, it is not obvious whether they model different linguistic patterns such as negation, intensification, and clause compositionality to help the…

Computation and Language · Computer Science 2018-10-23 Mahnaz Koupaee , William Yang Wang