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For deep learning problems on graph-structured data, pooling layers are important for down sampling, reducing computational cost, and to minimize overfitting. We define a pooling layer, nervePool, for data structured as simplicial…

Computational Geometry · Computer Science 2025-11-17 Sarah McGuire Scullen , Ernst Röell , Elizabeth Munch , Bastian Rieck , Matthew Hirn

A fully tensorial theoretical framework for hypercomplex-valued neural networks is presented. The proposed approach enables neural network architectures to operate on data defined over arbitrary finite-dimensional algebras. The central…

Machine Learning · Computer Science 2026-01-27 Agnieszka Niemczynowicz , Radosław Antoni Kycia

In this paper, we challenge the common assumption that collapsing the spatial dimensions of a 3D (spatial-channel) tensor in a convolutional neural network (CNN) into a vector via global pooling removes all spatial information.…

Computer Vision and Pattern Recognition · Computer Science 2021-08-19 Md Amirul Islam , Matthew Kowal , Sen Jia , Konstantinos G. Derpanis , Neil D. B. Bruce

Trainable layers such as convolutional building blocks are the standard network design choices by learning parameters to capture the global context through successive spatial operations. When designing an efficient network, trainable layers…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Dongyoon Han , YoungJoon Yoo , Beomyoung Kim , Byeongho Heo

We introduce a simple and effective method for regularizing large convolutional neural networks. We replace the conventional deterministic pooling operations with a stochastic procedure, randomly picking the activation within each pooling…

Machine Learning · Computer Science 2013-01-17 Matthew D. Zeiler , Rob Fergus

Residual Networks with convolutional layers are widely used in the field of machine learning. Since they effectively extract features from input data by stacking multiple layers, they can achieve high accuracy in many applications. However,…

Machine Learning · Computer Science 2019-06-11 Yasutoshi Ida , Yasuhiro Fujiwara

Convolutional neural networks show outstanding results in a variety of computer vision tasks. However, a neural network architecture design usually faces a trade-off between model performance and computational/memory complexity. For some…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Pavel Kaloshin

Multilayer neural networks set the current state of the art for many technical classification problems. But, these networks are still, essentially, black boxes in terms of analyzing them and predicting their performance. Here, we develop a…

Machine Learning · Computer Science 2023-07-21 Denis Kleyko , Antonello Rosato , E. Paxon Frady , Massimo Panella , Friedrich T. Sommer

Convolutional networks almost always incorporate some form of spatial pooling, and very often it is alpha times alpha max-pooling with alpha=2. Max-pooling act on the hidden layers of the network, reducing their size by an integer…

Computer Vision and Pattern Recognition · Computer Science 2015-05-13 Benjamin Graham

Recurrent Neural Network (RNN) is one of the most popular architectures used in Natural Language Processsing (NLP) tasks because its recurrent structure is very suitable to process variable-length text. RNN can utilize distributed…

Computation and Language · Computer Science 2016-11-22 Peng Zhou , Zhenyu Qi , Suncong Zheng , Jiaming Xu , Hongyun Bao , Bo Xu

In this work, we evaluate the use of superpixel pooling layers in deep network architectures for semantic segmentation. Superpixel pooling is a flexible and efficient replacement for other pooling strategies that incorporates spatial prior…

Computer Vision and Pattern Recognition · Computer Science 2018-06-08 Mathijs Schuurmans , Maxim Berman , Matthew B. Blaschko

Network in Netwrok (NiN) is an effective instance and an important extension of Convolutional Neural Network (CNN) consisting of alternating convolutional layers and pooling layers. Instead of using a linear filter for convolution, NiN…

Computer Vision and Pattern Recognition · Computer Science 2016-03-23 Yanwei Pang , Manli Sun , Xiaoheng Jiang , Xuelong Li

Brain surface analysis is essential to neuroscience, however, the complex geometry of the brain cortex hinders computational methods for this task. The difficulty arises from a discrepancy between 3D imaging data, which is represented in…

Computer Vision and Pattern Recognition · Computer Science 2019-11-25 Karthik Gopinath , Christian Desrosiers , Herve Lombaert

Pooling is a simple but essential layer in modern deep CNN architectures for feature aggregation and extraction. Typical CNN design focuses on the conv layers and activation functions, while leaving the pooling layers with fewer options. We…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Bor-Shiun Wang , Jun-Wei Hsieh , Ming-Ching Chang , Ping-Yang Chen , Lipeng Ke , Siwei Lyu

Convolutional Neural Networks (CNNs) have demonstrated state-of-the-art performance on many visual recognition tasks. However, the combination of convolution and pooling operations only shows invariance to small local location changes in…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Xu Shen , Xinmei Tian , Shaoyan Sun , Dacheng Tao

With the development of graph convolutional networks (GCN), deep learning methods have started to be used on graph data. In additional to convolutional layers, pooling layers are another important components of deep learning. However, no…

Artificial Intelligence · Computer Science 2019-03-12 Hongyang Gao , Yongjun Chen , Shuiwang Ji

Tensors offer a natural representation for many kinds of data frequently encountered in machine learning. Images, for example, are naturally represented as third order tensors, where the modes correspond to height, width, and channels.…

Machine Learning · Computer Science 2017-06-05 Jean Kossaifi , Aran Khanna , Zachary C. Lipton , Tommaso Furlanello , Anima Anandkumar

Neural networks are known to give better performance with increased depth due to their ability to learn more abstract features. Although the deepening of networks has been well established, there is still room for efficient feature…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Dumindu Tissera , Rukshan Wijessinghe , Kasun Vithanage , Alex Xavier , Subha Fernando , Ranga Rodrigo

Modern convolutional networks are not shift-invariant, as small input shifts or translations can cause drastic changes in the output. Commonly used downsampling methods, such as max-pooling, strided-convolution, and average-pooling, ignore…

Computer Vision and Pattern Recognition · Computer Science 2019-06-11 Richard Zhang

Pooling is a crucial operation in computer vision, yet the unique structure of skeletons hinders the application of existing pooling strategies to skeleton graph modelling. In this paper, we propose an Improved Graph Pooling Network,…

Computer Vision and Pattern Recognition · Computer Science 2024-04-26 Cong Wu , Xiao-Jun Wu , Tianyang Xu , Josef Kittler