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We study neural networks with trainable low-degree rational activation functions and show that they are more expressive and parameter-efficient than modern piecewise-linear and smooth activations such as ELU, LeakyReLU, LogSigmoid, PReLU,…

Machine Learning · Computer Science 2026-02-16 Maosen Tang , Alex Townsend

We consider deep feedforward neural networks with rectified linear units from a signal processing perspective. In this view, such representations mark the transition from using a single (data-driven) linear representation to utilizing a…

Machine Learning · Computer Science 2019-04-01 Andreas Heinecke , Wen-Liang Hwang

The term fine-grained visual classification (FGVC) refers to classification tasks where the classes are very similar and the classification model needs to be able to find subtle differences to make the correct prediction. State-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Harald Hanselmann , Hermann Ney

Recently, much attention has been devoted to finding highly efficient and powerful activation functions for CNN layers. Because activation functions inject different nonlinearities between layers that affect performance, varying them is one…

Computer Vision and Pattern Recognition · Computer Science 2021-04-05 Loris Nanni , Gianluca Maguolo , Sheryl Brahnam , Michelangelo Paci

Spatial optimization is often overlooked in many computer vision tasks. Filters should be able to recognize the features of an object regardless of where it is in the image. Similarity search is a crucial task where spatial features decide…

Computer Vision and Pattern Recognition · Computer Science 2024-04-11 Md. Farhadul Islam , Md. Tanzim Reza , Meem Arafat Manab , Mohammad Rakibul Hasan Mahin , Sarah Zabeen , Jannatun Noor

Fine-grained visual classification (FGVC) is much more challenging than traditional classification tasks due to the inherently subtle intra-class object variations. Recent works mainly tackle this problem by focusing on how to locate the…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Ruoyi Du , Dongliang Chang , Ayan Kumar Bhunia , Jiyang Xie , Zhanyu Ma , Yi-Zhe Song , Jun Guo

In the field of pattern recognition, achieving high accuracy is essential. While training a model to recognize different complex images, it is vital to fine-tune the model to achieve the highest accuracy possible. One strategy for…

We introduce the first active learning (AL) model for high-accuracy instance segmentation of moveable parts from RGB images of real indoor scenes. Specifically, our goal is to obtain fully validated segmentation results by humans while…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Ruiqi Wang , Akshay Gadi Patil , Fenggen Yu , Hao Zhang

The paper briefy reviews several recent results on hierarchical architectures for learning from examples, that may formally explain the conditions under which Deep Convolutional Neural Networks perform much better in function approximation…

Machine Learning · Computer Science 2016-08-12 Hrushikesh Mhaskar , Tomaso Poggio

Lipschitz-constrained neural networks have many applications in machine learning. Since designing and training expressive Lipschitz-constrained networks is very challenging, there is a need for improved methods and a better theoretical…

Machine Learning · Computer Science 2022-04-14 Sebastian Neumayer , Alexis Goujon , Pakshal Bohra , Michael Unser

Piecewise affine neural networks (PANNs) provide a principled geometric perspective on neural network expressivity by characterizing the input--output map as a continuous piecewise affine (CPA) function whose complexity is governed by the…

Machine Learning · Computer Science 2026-05-13 Yi Wei , Xuan Qi , Furao Shen , Jian Zhao , Vittorio Murino , Cigdem Beyan

In this work, we develop a novel input feature selection framework for ReLU-based deep neural networks (DNNs), which builds upon a mixed-integer optimization approach. While the method is generally applicable to various classification…

Optimization and Control · Mathematics 2023-02-22 Shudian Zhao , Calvin Tsay , Jan Kronqvist

Fine-grained categorization can benefit from part-based features which reveal subtle visual differences between object categories. Handcrafted features have been widely used for part detection and classification. Although a recent trend…

Computer Vision and Pattern Recognition · Computer Science 2017-06-23 Ting Sun , Lin Sun , Dit-Yan Yeung

Learning-based approaches for semantic segmentation have two inherent challenges. First, acquiring pixel-wise labels is expensive and time-consuming. Second, realistic segmentation datasets are highly unbalanced: some categories are much…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Arantxa Casanova , Pedro O. Pinheiro , Negar Rostamzadeh , Christopher J. Pal

Deep Learning has revolutionized machine learning, reaching unprecedented levels of accuracy, but at the cost of reduced interpretability. Especially in image processing systems, deep networks transform local pixel information into more…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Xinyi Zhang , Manuel Günther

Rectified linear units (ReLU) are well-known to be helpful in obtaining faster convergence and thus higher performance for many deep-learning-based applications. However, networks with ReLU tend to perform poorly when the number of filter…

Computer Vision and Pattern Recognition · Computer Science 2018-12-14 Jae-Seok Choi , Munchurl Kim

Convolutional Neural Network's (CNN's) performance disparity on clean and corrupted datasets has recently come under scrutiny. In this work, we analyse common corruptions in the frequency domain, i.e., High Frequency corruptions (HFc, e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Md Tahmid Hossain , Shyh Wei Teng , Ferdous Sohel , Guojun Lu

Sparse computation offers a compelling solution for the inference of Large Language Models (LLMs) in low-resource scenarios by dynamically skipping the computation of inactive neurons. While traditional approaches focus on ReLU-based LLMs,…

Machine Learning · Computer Science 2024-02-07 Zhengyan Zhang , Yixin Song , Guanghui Yu , Xu Han , Yankai Lin , Chaojun Xiao , Chenyang Song , Zhiyuan Liu , Zeyu Mi , Maosong Sun

Fine-grained visual categorization (FGVC) is challenging due in part to the fact that it is often difficult to acquire an enough number of training samples. To employ large models for FGVC without suffering from overfitting, existing…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Yabin Zhang , Hui Tang , Kui Jia

We establish a functional large deviation principle for fully connected multi-layer perceptrons with i.i.d. Gaussian weights (LeCun initialization) and general Lipschitz activation functions, including therefore the popular case of ReLU.…