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The application of quantum machine learning to large-scale high-resolution image datasets is not yet possible due to the limited number of qubits and relatively high level of noise in the current generation of quantum devices. In this work,…

Quantum Physics · Physics 2024-10-01 Amena Khatun , Muhammad Usman

We introduce compositional tensor trains (CTTs) for the approximation of multivariate functions, a class of models obtained by composing low-rank functions in the tensor-train format. This format can encode standard approximation tools,…

Numerical Analysis · Mathematics 2025-12-23 Martin Eigel , Charles Miranda , Anthony Nouy , David Sommer

In this work, we firstly apply the Train-Tensor (TT) networks to construct a compact representation of the classical Multilayer Perceptron, representing a reduction of up to 95% of the coefficients. A comparative analysis between tensor…

Machine Learning · Computer Science 2021-03-31 M. Nazareth da Costa , R. Attux , A. Cichocki , J. M. T. Romano

A major challenge in matching images and text is that they have intrinsically different data distributions and feature representations. Most existing approaches are based either on embedding or classification, the first one mapping image…

Computer Vision and Pattern Recognition · Computer Science 2020-07-30 Tan Wang , Xing Xu , Yang Yang , Alan Hanjalic , Heng Tao Shen , Jingkuan Song

Quantum machine learning is receiving significant attention currently, but its usefulness in comparison to classical machine learning techniques for practical applications remains unclear. However, there are indications that certain quantum…

In the Quantum-Train (QT) framework, mapping quantum state measurements to classical neural network weights is a critical challenge that affects the scalability and efficiency of hybrid quantum-classical models. The traditional QT framework…

Quantum Physics · Physics 2024-09-12 Chen-Yu Liu , Chu-Hsuan Abraham Lin , Kuan-Cheng Chen

Quantum Machine Learning (QML) has seen significant advancements, driven by recent improvements in Noisy Intermediate-Scale Quantum (NISQ) devices. Leveraging quantum principles such as entanglement and superposition, quantum convolutional…

Quantum Neural Networks (QNNs) offer a promising framework for integrating quantum computing principles into machine learning, yet their practical capabilities and limitations remain insufficiently studied. In this work, we systematically…

Quantum Physics · Physics 2026-03-31 Martyna Czuba , Patrick Holzer , Hein Zay Yar Oo

Deep learning model (primarily convolutional networks and LSTM) for time series classification has been studied broadly by the community with the wide applications in different domains like healthcare, finance, industrial engineering and…

Machine Learning · Computer Science 2021-03-29 Minghao Liu , Shengqi Ren , Siyuan Ma , Jiahui Jiao , Yizhou Chen , Zhiguang Wang , Wei Song

Tensor Networks (TN) are approximations of high-dimensional tensors designed to represent locally entangled quantum many-body systems efficiently. This study provides a comprehensive comparison between classical TNs and TN-inspired quantum…

Quantum Physics · Physics 2022-12-20 Jack Y. Araz , Michael Spannowsky

Discrete tensor train decomposition is widely employed to mitigate the curse of dimensionality in solving high-dimensional PDEs through traditional methods. However, the direct application of the tensor train method typically requires…

Numerical Analysis · Mathematics 2025-10-16 Yani Feng , Michael K. Ng , Kejun Tang , Zhiwen Zhang

Deep Learning is considered to be a quite young in the area of machine learning research, found its effectiveness in dealing complex yet high dimensional dataset that includes but limited to images, text and speech etc. with multiple levels…

Computer Vision and Pattern Recognition · Computer Science 2016-10-19 Mrutyunjaya Panda

The neural network and quantum computing are both significant and appealing fields, with their interactive disciplines promising for large-scale computing tasks that are untackled by conventional computers. However, both developments are…

Quantum Physics · Physics 2021-06-22 Feihong Shen , Jun Liu

We propose a novel approach to enhance the discriminability of Convolutional Neural Networks (CNN). The key idea is to build a tree structure that could progressively learn fine-grained features to distinguish a subset of classes, by…

Computer Vision and Pattern Recognition · Computer Science 2017-09-25 Zhenhua Wang , Xingxing Wang , Gang Wang

We introduce a dynamic multiscale tree (DMT) architecture that learns how to leverage the strengths of different existing classifiers for supervised multi-label image segmentation. Unlike previous works that simply aggregate or cascade…

Computer Vision and Pattern Recognition · Computer Science 2017-09-07 Samya Amiri , Mohamed Ali Mahjoub , Islem Rekik

Gate-based quantum computations represent an essential to realize near-term quantum computer architectures. A gate-model quantum neural network (QNN) is a QNN implemented on a gate-model quantum computer, realized via a set of unitaries…

Quantum Physics · Physics 2019-09-04 Laszlo Gyongyosi , Sandor Imre

The state-of-the-art deep neural networks (DNNs) have been widely applied for various real-world applications, and achieved significant performance for cognitive problems. However, the increment of DNNs' width and depth in architecture…

Machine Learning · Computer Science 2021-11-15 Xiao Peng Li , Qi Liu , Hing Cheung So

Image classification is an important task in various machine learning applications. In recent years, a number of classification methods based on quantum machine learning and different quantum image encoding techniques have been proposed. In…

Computer Vision and Pattern Recognition · Computer Science 2021-06-24 Denny Mattern , Darya Martyniuk , Henri Willems , Fabian Bergmann , Adrian Paschke

One key step in performing quantum machine learning (QML) on noisy intermediate-scale quantum (NISQ) devices is the dimension reduction of the input data prior to their encoding. Traditional principle component analysis (PCA) and neural…

Quantum Physics · Physics 2020-12-01 Samuel Yen-Chi Chen , Chih-Min Huang , Chia-Wei Hsing , Ying-Jer Kao

Deep learning has been shown to be able to recognize data patterns better than humans in specific circumstances or contexts. In parallel, quantum computing has demonstrated to be able to output complex wave functions with a few number of…

Quantum Physics · Physics 2021-08-05 Junhua Liu , Kwan Hui Lim , Kristin L. Wood , Wei Huang , Chu Guo , He-Liang Huang