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We show that the output of a (residual) convolutional neural network (CNN) with an appropriate prior over the weights and biases is a Gaussian process (GP) in the limit of infinitely many convolutional filters, extending similar results for…

Machine Learning · Statistics 2019-05-07 Adrià Garriga-Alonso , Carl Edward Rasmussen , Laurence Aitchison

Deep Neural Networks (DNNs) are generated by sequentially performing linear and non-linear processes. Using a combination of linear and non-linear procedures is critical for generating a sufficiently deep feature space. The majority of…

Computer Vision and Pattern Recognition · Computer Science 2022-07-29 Yufei Hu , Nacim Belkhir , Jesus Angulo , Angela Yao , Gianni Franchi

In this paper we review the mathematical foundations of convolutional neural nets (CNNs) with the goals of: i) highlighting connections with techniques from statistics, signal processing, linear algebra, differential equations, and…

Machine Learning · Computer Science 2021-07-08 Shengli Jiang , Victor M. Zavala

In today's digital age, Convolutional Neural Networks (CNNs), a subset of Deep Learning (DL), are widely used for various computer vision tasks such as image classification, object detection, and image segmentation. There are numerous types…

Machine Learning · Computer Science 2024-02-29 Abolfazl Younesi , Mohsen Ansari , MohammadAmin Fazli , Alireza Ejlali , Muhammad Shafique , Jörg Henkel

We show that deep convolutional neural networks (CNN) can massively outperform traditional densely-connected neural networks (both deep or shallow) in predicting eigenvalue problems in mechanics. In this sense, we strike out in a new…

Computational Physics · Physics 2018-07-19 David Finol , Yan Lu , Vijay Mahadevan , Ankit Srivastava

Deep convolutional neural networks (CNNs) have demonstrated impressive performance on visual object classification tasks. In addition, it is a useful model for predication of neuronal responses recorded in visual system. However, there is…

Machine Learning · Statistics 2017-11-15 Qi Yan , Zhaofei Yu , Feng Chen , Jian K. Liu

Deep convolutional neural networks (DCNNs) have become the state-of-the-art (SOTA) approach for many computer vision tasks: image classification, object detection, semantic segmentation, etc. However, most SOTA networks are too large for…

Computer Vision and Pattern Recognition · Computer Science 2022-10-26 Alireza Azadbakht , Saeed Reza Kheradpisheh , Ismail Khalfaoui-Hassani , Timothée Masquelier

Deep learning techniques have become prominent in modern fault diagnosis for complex processes. In particular, convolutional neural networks (CNNs) have shown an appealing capacity to deal with multivariate time-series data by converting…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Saif S. S. Al-Wahaibi , Qiugang Lu

Existing techniques to encode spatial invariance within deep convolutional neural networks only model 2D transformation fields. This does not account for the fact that objects in a 2D space are a projection of 3D ones, and thus they have…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Sunghun Joung , Seungryong Kim , Hanjae Kim , Minsu Kim , Ig-Jae Kim , Junghyun Cho , Kwanghoon Sohn

Polygonal meshes provide an efficient representation for 3D shapes. They explicitly capture both shape surface and topology, and leverage non-uniformity to represent large flat regions as well as sharp, intricate features. This…

Machine Learning · Computer Science 2019-07-03 Rana Hanocka , Amir Hertz , Noa Fish , Raja Giryes , Shachar Fleishman , Daniel Cohen-Or

Porting state of the art deep learning algorithms to resource constrained compute platforms (e.g. VR, AR, wearables) is extremely challenging. We propose a fast, compact, and accurate model for convolutional neural networks that enables…

Computer Vision and Pattern Recognition · Computer Science 2017-06-14 Hessam Bagherinezhad , Mohammad Rastegari , Ali Farhadi

Neural network-based algorithms have garnered considerable attention in condensed matter physics for their ability to learn complex patterns from very high dimensional data sets towards classifying complex long-range patterns of…

Quantum Physics · Physics 2021-01-01 Ian MacCormack , Conor Delaney , Alexey Galda , Nidhi Aggarwal , Prineha Narang

Convolutional neural networks (CNNs) have shown great capability of solving various artificial intelligence tasks. However, the increasing model size has raised challenges in employing them in resource-limited applications. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2018-09-06 Hongyang Gao , Zhengyang Wang , Shuiwang Ji

Convolutional neural networks are witnessing wide adoption in computer vision systems with numerous applications across a range of visual recognition tasks. Much of this progress is fueled through advances in convolutional neural network…

Computer Vision and Pattern Recognition · Computer Science 2018-06-06 Felix Juefei-Xu , Vishnu Naresh Boddeti , Marios Savvides

In this paper, we propose a novel formulation to extend CNNs to two-dimensional (2D) manifolds using orthogonal basis functions, called Zernike polynomials. In many areas, geometric features play a key role in understanding scientific…

Computer Vision and Pattern Recognition · Computer Science 2023-05-12 Zhiyu Sun , Ethan Rooke , Jerome Charton , Yusen He , Jia Lu , Stephen Baek

It is known that humans display "shape bias" when classifying new items, i.e., they prefer to categorize objects based on their shape rather than color. Convolutional Neural Networks (CNNs) are also designed to take into account the spatial…

Computer Vision and Pattern Recognition · Computer Science 2018-03-22 Hossein Hosseini , Baicen Xiao , Mayoore Jaiswal , Radha Poovendran

It is challenging to guide neural network (NN) learning with prior knowledge. In contrast, many known properties, such as spatial smoothness or seasonality, are straightforward to model by choosing an appropriate kernel in a Gaussian…

Machine Learning · Computer Science 2024-02-29 Ziyang Jiang , Tongshu Zheng , Yiling Liu , David Carlson

As the rapidly evolving field of machine learning continues to produce incredibly useful tools and models, the potential for quantum computing to provide speed up for machine learning algorithms is becoming increasingly desirable. In…

Quantum Physics · Physics 2024-04-02 Anthony M. Smaldone , Gregory W. Kyro , Victor S. Batista

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

Deformable part models (DPMs) and convolutional neural networks (CNNs) are two widely used tools for visual recognition. They are typically viewed as distinct approaches: DPMs are graphical models (Markov random fields), while CNNs are…

Computer Vision and Pattern Recognition · Computer Science 2014-10-02 Ross Girshick , Forrest Iandola , Trevor Darrell , Jitendra Malik
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