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Neural networks are usually not the tool of choice for nonparametric high-dimensional problems where the number of input features is much larger than the number of observations. Though neural networks can approximate complex multivariate…

Methodology · Statistics 2019-06-25 Jean Feng , Noah Simon

Capsule networks are recently proposed as an alternative to modern neural network architectures. Neurons are replaced with capsule units that represent specific features or entities with normalized vectors or matrices. The activation of…

Machine Learning · Computer Science 2021-03-09 Haoyu Yang , Shuhe Li , Bei Yu

Functions are rich in meaning and can be interpreted in a variety of ways. Neural networks were proven to be capable of approximating a large class of functions[1]. In this paper, we propose a new class of neural networks called "Neural…

Machine Learning · Computer Science 2020-01-16 Firat Tuna

This paper investigates the usage of kernel functions at the different layers in a convolutional neural network. We carry out extensive studies of their impact on convolutional, pooling and fully-connected layers. We notice that the linear…

Computer Vision and Pattern Recognition · Computer Science 2023-02-22 M. Amine Mahmoudi , Aladine Chetouani , Fatma Boufera , Hedi Tabia

We demonstrate the use of tensor networks for image classification with the TensorNetwork open source library. We explain in detail the encoding of image data into a matrix product state form, and describe how to contract the network in a…

Machine Learning · Computer Science 2019-06-17 Stavros Efthymiou , Jack Hidary , Stefan Leichenauer

This paper proposes a novel quantum pre-processing filter (QPF) to improve the image classification accuracy of neural network (NN) models. A simple four qubit quantum circuit that uses Y rotation gates for encoding and two controlled NOT…

Quantum Physics · Physics 2023-08-23 Farina Riaz , Shahab Abdulla , Hajime Suzuki , Srinjoy Ganguly , Ravinesh C. Deo , Susan Hopkins

Convolutional neural networks (CNNs) have gained widespread usage across various fields such as weather forecasting, computer vision, autonomous driving, and medical image analysis due to its exceptional ability to extract spatial…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Alifu Xiafukaiti , Devanshu Garg , Aruto Hosaka , Koichi Yanagisawa , Yuichiro Minato , Tsuyoshi Yoshida

Machine learning is a promising application of quantum computing, but challenges remain as near-term devices will have a limited number of physical qubits and high error rates. Motivated by the usefulness of tensor networks for machine…

Quantum Physics · Physics 2019-02-07 William Huggins , Piyush Patel , K. Birgitta Whaley , E. Miles Stoudenmire

Convolutional neural networks are increasingly being used to analyze and classify material microstructures, motivated by the possibility that they will be able to identify relevant microstructural features more efficiently and impartially…

Computational Physics · Physics 2026-01-01 Shrunal Pothagoni , Dylan Miley , Tyrus Berry , Jeremy K. Mason , Benjamin Schweinhart

The interest in machine learning with tensor networks has been growing rapidly in recent years. We show that tensor-based methods developed for learning the governing equations of dynamical systems from data can, in the same way, be used…

Machine Learning · Computer Science 2019-12-02 Stefan Klus , Patrick Gelß

Tensor networks are efficient representations of high-dimensional tensors which have been very successful for physics and mathematics applications. We demonstrate how algorithms for optimizing such networks can be adapted to supervised…

Machine Learning · Statistics 2017-05-22 E. Miles Stoudenmire , David J. Schwab

Quantum neural networks are expected to be a promising application in near-term quantum computing, but face challenges such as vanishing gradients during optimization and limited expressibility by a limited number of qubits and shallow…

Quantum Physics · Physics 2026-04-06 Yoshiaki Kawase

Artificial neural networks have achieved great success in many fields ranging from image recognition to video understanding. However, its high requirements for computing and memory resources have limited further development on processing…

Quantum Physics · Physics 2021-08-05 Yanxuan Lü , Qing Gao , Jinhu Lü , Maciej Ogorzałek , Jin Zheng

In recent years, there has been considerable innovation in the world of predictive methodologies. This is evident by the relative domination of machine learning approaches in various classification competitions. While these algorithms have…

Machine Learning · Statistics 2020-10-12 Barinder Thind , Kevin Multani , Jiguo Cao

Convolutional Neural Networks (CNN) are used mainly to treat problems with many images characteristic of Deep Learning. In this work, we propose a hybrid image classification model to take advantage of quantum and classical computing. The…

Quantum Physics · Physics 2021-04-10 Parfait Atchade-Adelomou , Guillermo Alonso-Linaje

This paper proposes a novel Convolutional Neural Network model for contour data analysis (ContourCNN) and shape classification. A contour is a circular sequence of points representing a closed shape. For handling the cyclical property of…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Ahmad Droby , Jihad El-Sana

In deep neural networks (DNNs), there are a huge number of weights and multiply-and-accumulate (MAC) operations. Accordingly, it is challenging to apply DNNs on resource-constrained platforms, e.g., mobile phones. Quantization is a method…

Machine Learning · Computer Science 2022-11-29 Wenhao Sun , Grace Li Zhang , Huaxi Gu , Bing Li , Ulf Schlichtmann

A large amount of research on Convolutional Neural Networks has focused on flat Classification in the multi-class domain. In the real world, many problems are naturally expressed as problems of hierarchical classification, in which the…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Riccardo La Grassa , Ignazio Gallo , Nicola Landro

We provide an overview of several non-linear activation functions in a neural network architecture that have proven successful in many machine learning applications. We conduct an empirical analysis on the effectiveness of using these…

Machine Learning · Computer Science 2017-11-01 Giovanni Alcantara

Neural Networks are prone to having lesser accuracy in the classification of images with noise perturbation. Convolutional Neural Networks, CNNs are known for their unparalleled accuracy in the classification of benign images. But our study…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Durga Shree Nagabushanam , Steve Mathew , Chiranji Lal Chowdhary