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Filters in a Convolutional Neural Network (CNN) contain model parameters learned from enormous amounts of data. In this paper, we suggest to decompose convolutional filters in CNN as a truncated expansion with pre-fixed bases, namely the…

Machine Learning · Statistics 2018-07-31 Qiang Qiu , Xiuyuan Cheng , Robert Calderbank , Guillermo Sapiro

The fractal dimension provides a statistical index of object complexity by studying how the pattern changes with the measuring scale. Although useful in several classification tasks, the fractal dimension is under-explored in deep learning…

Machine Learning · Computer Science 2024-01-10 Julia El Zini , Bassel Musharrafieh , Mariette Awad

The Deep Convolutional Neural Networks (CNNs) have obtained a great success for pattern recognition, such as recognizing the texts in images. But existing CNNs based frameworks still have several drawbacks: 1) the traditaional pooling…

Computer Vision and Pattern Recognition · Computer Science 2020-01-20 Zhao Zhang , Zemin Tang , Zheng Zhang , Yang Wang , Jie Qin , Meng Wang

In recent years, state-of-the-art methods in computer vision have utilized increasingly deep convolutional neural network architectures (CNNs), with some of the most successful models employing hundreds or even thousands of layers. A…

Machine Learning · Statistics 2018-07-11 Lechao Xiao , Yasaman Bahri , Jascha Sohl-Dickstein , Samuel S. Schoenholz , Jeffrey Pennington

Redundancy in deep neural network (DNN) models has always been one of their most intriguing and important properties. DNNs have been shown to overparameterize, or extract a lot of redundant features. In this work, we explore the impact of…

Machine Learning · Computer Science 2019-01-31 Babajide O. Ayinde , Tamer Inanc , Jacek M. Zurada

Deep convolutional neural networks (CNNs) are usually over-parameterized, which cannot be easily deployed on edge devices such as mobile phones and smart cameras. Existing works used to decrease the number or size of requested convolution…

Computer Vision and Pattern Recognition · Computer Science 2019-08-07 Kai Han , Yunhe Wang , Yixing Xu , Chunjing Xu , Dacheng Tao , Chang Xu

Convolutional Neural Networks (CNNs) have become indispensable for solving machine learning tasks in speech recognition, computer vision, and other areas that involve high-dimensional data. A CNN filters the input feature using a network…

Machine Learning · Computer Science 2020-02-13 Jonathan Ephrath , Moshe Eliasof , Lars Ruthotto , Eldad Haber , Eran Treister

Conventional Convolutional Neural Networks (CNNs) use either a linear or non-linear filter to extract features from an image patch (region) of spatial size $ H\times W $ (Typically, $ H $ is small and is equal to $ W$, e.g., $ H $ is 5 or…

Computer Vision and Pattern Recognition · Computer Science 2016-03-02 Xiaoheng Jiang , Yanwei Pang , Manli Sun , Xuelong Li

Recent efforts have shown machine learning to be useful for the prediction of nonlinear fluid dynamics. Predictive accuracy is often a central motivation for employing neural networks, but the pattern recognition central to the network…

Fluid Dynamics · Physics 2022-08-23 Shizheng Wen , Michael W. Lee , Kai M. Kruger Bastos , Earl H. Dowell

Convolutional Neural Networks (CNNs) are generally prone to noise interruptions, i.e., small image noise can cause drastic changes in the output. To suppress the noise effect to the final predication, we enhance CNNs by replacing…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Qiufu Li , Linlin Shen , Sheng Guo , Zhihui Lai

To compress deep convolutional neural networks (CNNs) with large memory footprint and long inference time, this paper proposes a novel pruning criterion using layer-wised Ln-norm of feature maps. Different from existing pruning criteria,…

Neural and Evolutionary Computing · Computer Science 2018-12-11 Wei Wang , Liqiang Zhu

Deep learning has established many new state of the art solutions in the last decade in areas such as object, scene and speech recognition. In particular Convolutional Neural Network (CNN) is a category of deep learning which obtains…

Computer Vision and Pattern Recognition · Computer Science 2016-09-26 Vincent Andrearczyk , Paul F. Whelan

The topological analysis of four-dimensional (4D) image-type data is challenged by the immense size that these datasets can reach. This can render the direct application of methods, like persistent homology and convolutional neural networks…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Khalil Mathieu Hannouch , Stephan Chalup

This work introduces the Topological CNN (TCNN), which encompasses several topologically defined convolutional methods. Manifolds with important relationships to the natural image space are used to parameterize image filters which are used…

Machine Learning · Computer Science 2021-03-05 Ephy R. Love , Benjamin Filippenko , Vasileios Maroulas , Gunnar Carlsson

Convolutional Neural Networks (CNNs) are powerful models that achieve impressive results for image classification. In addition, pre-trained CNNs are also useful for other computer vision tasks as generic feature extractors. This paper aims…

Computer Vision and Pattern Recognition · Computer Science 2015-07-10 Ben Athiwaratkun , Keegan Kang

Machine learning models have been employed to perform either physics-free data-driven or hybrid dynamical downscaling of climate data. Most of these implementations operate over relatively small downscaling factors because of the challenge…

Atmospheric and Oceanic Physics · Physics 2023-02-24 Daniel Getter , Julie Bessac , Johann Rudi , Yan Feng

Convolutional Neural Networks (CNNs) are known for requiring extensive computational resources, and quantization is among the best and most common methods for compressing them. While aggressive quantization (i.e., less than 4-bits) performs…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Shahaf E. Finder , Yair Zohav , Maor Ashkenazi , Eran Treister

This paper proposes a new topology optimization method that applies a convolutional neural network (CNN), which is one deep learning technique for topology optimization problems. Using this method, we acquire a structure with a little…

Machine Learning · Computer Science 2020-01-06 Yusuke Takahashi , Yoshiro Suzuki , Akira Todoroki

Within the world of machine learning there exists a wide range of different methods with respective advantages and applications. This paper seeks to present and discuss one such method, namely Convolutional Neural Networks (CNNs). CNNs are…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Lars Lien Ankile , Morgan Feet Heggland , Kjartan Krange

Conventional Convolutional neural networks (CNN) are trained on large domain datasets and are hence typically over-represented and inefficient in limited class applications. An efficient way to convert such large many-class pre-trained…

Computer Vision and Pattern Recognition · Computer Science 2020-08-06 K. Sai Ram , Jayanta Mukherjee , Amit Patra , Partha Pratim Das