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Quantum convolutional neural networks (QCNNs) are quantum circuits for characterizing complex quantum states. They have been proposed for recognizing quantum phases of matter at low sampling cost and have been designed for condensed matter…

Quantum Physics · Physics 2025-11-11 Leon C. Sander , Nathan A. McMahon , Petr Zapletal , Michael J. Hartmann

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

Machine learning is applied to investigate the phase transition of two-dimensional complex plasmas. The Langevin dynamics simulation is employed to prepare particle suspensions in various thermodynamic states. Based on the resulted particle…

Plasma Physics · Physics 2023-07-25 He Huang , Vladimir Nosenko , Han-Xiao Huang-Fu , Hubertus M. Thomas , Cheng-Ran Du

In Bragg Coherent Diffraction Imaging (BCDI), Phase Retrieval of highly strained crystals is often challenging with standard iterative algorithms. This computational obstacle limits the potential of the technique as it precludes the…

Quantum convolutional neural networks (QCNNs) have been introduced as classifiers for gapped quantum phases of matter. Here, we propose a model-independent protocol for training QCNNs to discover order parameters that are unchanged under…

Quantum Physics · Physics 2023-06-05 Yu-Jie Liu , Adam Smith , Michael Knap , Frank Pollmann

Convolutional neural networks (CNN) have recently achieved remarkable successes in various image classification and understanding tasks. The deep features obtained at the top fully-connected layer of the CNN (FC-features) exhibit rich…

Computer Vision and Pattern Recognition · Computer Science 2017-04-05 Sheng Guo , Weilin Huang , Limin Wang , Yu Qiao

In the present work, 3D convolutional neural networks (CNNs) are trained to link random heterogeneous, two-phase materials of arbitrary phase fractions to their elastic macroscale stiffness thus replacing explicit homogenization…

Materials Science · Physics 2021-09-08 Bernhard Eidel

Nowadays, deep learning can be employed to a wide ranges of fields including medicine, engineering, etc. In deep learning, Convolutional Neural Network (CNN) is extensively used in the pattern and sequence recognition, video analysis,…

Computer Vision and Pattern Recognition · Computer Science 2019-02-06 Rezoana Bente Arif , Md. Abu Bakr Siddique , Mohammad Mahmudur Rahman Khan , Mahjabin Rahman Oishe

Image segmentation is considered to be one of the critical tasks in hyperspectral remote sensing image processing. Recently, convolutional neural network (CNN) has established itself as a powerful model in segmentation and classification by…

Computer Vision and Pattern Recognition · Computer Science 2017-12-29 Fahim Irfan Alam , Jun Zhou , Alan Wee-Chung Liew , Xiuping Jia , Jocelyn Chanussot , Yongsheng Gao

Connectionist temporal classification (CTC) is a popular sequence prediction approach for automatic speech recognition that is typically used with models based on recurrent neural networks (RNNs). We explore whether deep convolutional…

Computation and Language · Computer Science 2018-02-16 Kalpesh Krishna , Liang Lu , Kevin Gimpel , Karen Livescu

Convolutional neural networks (CNN) are widely used in computer vision, especially in image classification. However, the way in which information and invariance properties are encoded through in deep CNN architectures is still an open…

Computer Vision and Pattern Recognition · Computer Science 2016-10-26 Michael Blot , Matthieu Cord , Nicolas Thome

Powerful deep learning tools, such as convolutional neural networks (CNN), are able to learn the input-output relationships of large complicated systems directly from data. Encoder-decoder deep CNNs are able to extract features directly…

Machine Learning · Statistics 2021-06-08 Alexander Scheinker , Frederick Cropp , Sergio Paiagua , Daniele Filippetto

Remarkable progress has been made in image recognition, primarily due to the availability of large-scale annotated datasets and the revival of deep CNN. CNNs enable learning data-driven, highly representative, layered hierarchical image…

Computer Vision and Pattern Recognition · Computer Science 2016-02-11 Hoo-Chang Shin , Holger R. Roth , Mingchen Gao , Le Lu , Ziyue Xu , Isabella Nogues , Jianhua Yao , Daniel Mollura , Ronald M. Summers

We study the first-order scattering transform as a candidate for reducing the signal processed by a convolutional neural network (CNN). We show theoretical and empirical evidence that in the case of natural images and sufficiently small…

Computer Vision and Pattern Recognition · Computer Science 2018-10-01 Edouard Oyallon , Eugene Belilovsky , Sergey Zagoruyko , Michal Valko

Anticipating bifurcation-induced transitions in dynamical systems has gained relevance in various fields of the natural, social, and economic sciences. Before the annihilation of a system's equilibrium point by means of a bifurcation, the…

Dynamical Systems · Mathematics 2024-09-06 Andreas Morr , Keno Riechers , Leonardo Rydin Gorjão , Niklas Boers

Neural Processes (NPs) are meta-learning models that learn to map sets of observations to approximations of the corresponding posterior predictive distributions. By accommodating variable-sized, unstructured collections of observations and…

Machine Learning · Computer Science 2026-02-10 Peiman Mohseni , Nick Duffield

Classification of long sequential data is an important Machine Learning task and appears in many application scenarios. Recurrent Neural Networks, Transformers, and Convolutional Neural Networks are three major techniques for learning from…

Machine Learning · Computer Science 2022-05-30 Lei Cheng , Ruslan Khalitov , Tong Yu , Zhirong Yang

Deep neural networks can learn powerful prior probability models for images, as evidenced by the high-quality generations obtained with recent score-based diffusion methods. But the means by which these networks capture complex global…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Zahra Kadkhodaie , Florentin Guth , Stéphane Mallat , Eero P Simoncelli

Convolutional neural networks (CNN) have led to many state-of-the-art results spanning through various fields. However, a clear and profound theoretical understanding of the forward pass, the core algorithm of CNN, is still lacking. In…

Machine Learning · Statistics 2017-02-02 Vardan Papyan , Yaniv Romano , Michael Elad

Recently, neural networks (NNs) have become a powerful tool for detecting quantum phases of matter. Unfortunately, NNs are black boxes and only identify phases without elucidating their properties. Novel physics benefits most from insights…

Quantum Physics · Physics 2024-11-05 Kacper Cybiński , James Enouen , Antoine Georges , Anna Dawid