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Deep convolutional neural networks (DCNNs) are a class of artificial neural networks, primarily for computer vision tasks such as segmentation and classification. Many nonlinear operations, such as activation functions and pooling…

Computer Vision and Pattern Recognition · Computer Science 2024-04-26 Zuocheng Wen , Lingzhong Guo

We propose a deep structure encoder using the recently introduced Volterra Neural Networks (VNNs) to seek a latent representation of multi-modal data whose features are jointly captured by a union of subspaces. The so-called…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Sally Ghanem , Siddharth Roheda , Hamid Krim

We propose a novel approach to image classification inspired by complex nonlinear biological visual processing, whereby classical convolutional neural networks (CNNs) are equipped with learnable higher-order convolutions. Our model…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Simone Azeglio , Olivier Marre , Peter Neri , Ulisse Ferrari

The importance of inference in Machine Learning (ML) has led to an explosive number of different proposals in ML, and particularly in Deep Learning. In an attempt to reduce the complexity of Convolutional Neural Networks, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Siddharth Roheda , Hamid Krim

Deep kernel learning aims at designing nonlinear combinations of multiple standard elementary kernels by training deep networks. This scheme has proven to be effective, but intractable when handling large-scale datasets especially when the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-01 Mingyuan Jiu , Hichem Sahbi

In this paper, we introduce a new image representation based on a multilayer kernel machine. Unlike traditional kernel methods where data representation is decoupled from the prediction task, we learn how to shape the kernel with…

Machine Learning · Statistics 2016-10-26 Julien Mairal

An important goal in visual recognition is to devise image representations that are invariant to particular transformations. In this paper, we address this goal with a new type of convolutional neural network (CNN) whose invariance is…

Computer Vision and Pattern Recognition · Computer Science 2015-01-08 Julien Mairal , Piotr Koniusz , Zaid Harchaoui , Cordelia Schmid

Convolutional neural networks have been highly successful in image-based learning tasks due to their translation equivariance property. Recent work has generalized the traditional convolutional layer of a convolutional neural network to…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Monami Banerjee , Rudrasis Chakraborty , Jose Bouza , Baba C. Vemuri

Deep learning has shown promising results in many machine learning applications. The hierarchical feature representation built by deep networks enable compact and precise encoding of the data. A kernel analysis of the trained deep networks…

Machine Learning · Computer Science 2017-03-22 Mandar Kulkarni , Shirish Karande

Complex-valued neural networks (CVNNs) are an emerging field of research in neural networks due to their potential representational properties for audio, image, and physiological signals. It is common in signal processing to transform…

Machine Learning · Computer Science 2015-11-20 Andy M. Sarroff , Victor Shepardson , Michael A. Casey

We make an attempt to understanding convolutional neural network by exploring the relationship between (deep) convolutional neural networks and Volterra convolutions. We propose a novel approach to explain and study the overall…

Machine Learning · Computer Science 2025-11-12 Tenghui Li , Guoxu Zhou , Yuning Qiu , Qibin Zhao

Machine learning is evolving towards high-order models that necessitate pre-training on extensive datasets, a process associated with significant overheads. Traditional models, despite having pre-trained weights, are becoming obsolete due…

Machine Learning · Computer Science 2024-05-10 Chenhui Xu , Xinyao Wang , Fuxun Yu , Jinjun Xiong , Xiang Chen

We present a novel approach to neural response prediction that incorporates higher-order operations directly within convolutional neural networks (CNNs). Our model extends traditional 3D CNNs by embedding higher-order operations within the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Simone Azeglio , Victor Calbiague Garcia , Guilhem Glaziou , Peter Neri , Olivier Marre , Ulisse Ferrari

Deep learning methods have predominantly been applied to large artificial neural networks. Despite their state-of-the-art performance, these large networks typically do not generalize well to datasets with limited sample sizes. In this…

Machine Learning · Statistics 2016-11-17 Eric Strobl , Shyam Visweswaran

Despite the effectiveness of Convolutional Neural Networks (CNNs) for image classification, our understanding of the relationship between shape of convolution kernels and learned representations is limited. In this work, we explore and…

Computer Vision and Pattern Recognition · Computer Science 2016-11-30 Zhun Sun , Mete Ozay , Takayuki Okatani

Knowledge representation learning has been commonly adopted to incorporate knowledge graph (KG) into various online services. Although existing knowledge representation learning methods have achieved considerable performance improvement,…

Machine Learning · Computer Science 2022-05-18 Binbin Hu , Zhiyang Hu , Zhiqiang Zhang , Jun Zhou , Chuan Shi

The design, analysis and application of a volumetric convolutional neural network (VCNN) are studied in this work. Although many CNNs have been proposed in the literature, their design is empirical. In the design of the VCNN, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2017-02-02 Xiaqing Pan , Yueru Chen , C. -C. Jay Kuo

Modern neural network architectures for large-scale learning tasks have substantially higher model complexities, which makes understanding, visualizing and training these architectures difficult. Recent contributions to deep learning…

Machine Learning · Computer Science 2024-10-30 Jayadeva , Himanshu Pant , Mayank Sharma , Abhimanyu Dubey , Sumit Soman , Suraj Tripathi , Sai Guruju , Nihal Goalla

Recent progress in computer vision-oriented neural network designs is mostly driven by capturing high-order neural interactions among inputs and features. And there emerged a variety of approaches to accomplish this, such as Transformers…

Machine Learning · Computer Science 2023-12-01 Chenhui Xu , Fuxun Yu , Zirui Xu , Chenchen Liu , Jinjun Xiong , Xiang Chen

With the impressive capability to capture visual content, deep convolutional neural networks (CNN) have demon- strated promising performance in various vision-based ap- plications, such as classification, recognition, and objec- t…

Computer Vision and Pattern Recognition · Computer Science 2015-09-16 Zhen Liu
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