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In this paper, we study the computational complexity of the quadratic unconstrained binary optimization (QUBO) problem under the functional problem FP^NP categorization. We focus on four sub-classes: (1) When all coefficients are integers…

Computational Complexity · Computer Science 2022-02-21 Hirotoshi Yasuoka

Convolutional Neural Network (CNN) is a popular model in computer vision and has the advantage of making good use of the correlation information of data. However, CNN is challenging to learn efficiently if the given dimension of data or…

Quantum Physics · Physics 2020-09-22 Seunghyeok Oh , Jaeho Choi , Joongheon Kim

In the modern world, facial identification is an extremely important task in which many applications rely on high performing algorithms to detect faces efficiently. Whilst classical methods of SVM and k-NN commonly used may perform to a…

Quantum Physics · Physics 2020-08-31 Philip Easom-McCaldin , Ahmed Bouridane , Ammar Belatreche , Richard Jiang

We implement an all-optical setup demonstrating kernel-based quantum machine learning for two-dimensional classification problems. In this hybrid approach, kernel evaluations are outsourced to projective measurements on suitably designed…

We investigate a framework for binary image denoising via restricted Boltzmann machines (RBMs) that introduces a denoising objective in quadratic unconstrained binary optimization (QUBO) form and is well-suited for quantum annealing. The…

Quantum Physics · Physics 2023-08-21 Phillip Kerger , Ryoji Miyazaki

Accurate classification of microscopic blood cells is still a critical task in medical image analysis, where subtle variations and limited data can challenge conventional deep learning models. As such, we investigate in this work the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-25 Guilherme Cruz , Nouhaila Innan , Alberto Marchisio , Gabriel Falcao , Muhammad Shafique

Feature selection is a machine learning technique for identifying relevant variables in classification and regression models. In single-cell RNA sequencing (scRNA-seq) data analysis, feature selection is used to identify relevant genes that…

Genomics · Quantitative Biology 2025-12-02 Selim Romero , Shreyan Gupta , Victoria Gatlin , Robert S. Chapkin , James J. Cai

Convolutional Neural Networks (CNNs) are pivotal in computer vision and Big Data analytics but demand significant computational resources when trained on large-scale datasets. Conventional training via back-propagation (BP) with losses like…

Machine Learning · Computer Science 2025-06-03 Aasish Kumar Sharma , Sanjeeb Prashad Pandey , Julian M. Kunkel

Characterization of quantum objects, being them states, processes, or measurements, complemented by previous knowledge about them is a valuable approach, especially as it leads to routine procedures for real-life components. To this end,…

Quantum Physics · Physics 2023-06-28 Massimiliano Guarneri , Ilaria Gianani , Marco Barbieri , Andrea Chiuri

Image classification is a major application domain for conventional deep learning (DL). Quantum machine learning (QML) has the potential to revolutionize image classification. In any typical DL-based image classification, we use…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Mahabubul Alam , Satwik Kundu , Rasit Onur Topaloglu , Swaroop Ghosh

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

In this work, we introduce a novel Quadratic Binary Optimization (QBO) framework for training a quantized neural network. The framework enables the use of arbitrary activation and loss functions through spline interpolation, while Forward…

Machine Learning · Computer Science 2025-12-09 Wenxin Li , Chuan Wang , Hongdong Zhu , Qi Gao , Yin Ma , Hai Wei , Kai Wen

Quadratic Unconstrained Binary Optimization (QUBO) sits at the heart of many industries and academic fields such as logistics, supply chain, finance, pharmaceutical science, chemistry, IT, and energy sectors, among others. These problems…

Quantum Physics · Physics 2025-12-02 Chia-Tso Lai , Carsten Blank , Peter Schmelcher , Rick Mukherjee

Quantum machine learning techniques have been proposed as a way to potentially enhance performance in machine learning applications. In this paper, we introduce two new quantum methods for neural networks. The first one is a quantum…

Combinatorial optimization (CO) problems are crucial in various scientific and industrial applications. Recently, researchers have proposed using unsupervised Graph Neural Networks (GNNs) to address NP-hard combinatorial optimization…

Machine Learning · Computer Science 2024-07-24 Daria Pugacheva , Andrei Ermakov , Igor Lyskov , Ilya Makarov , Yuriy Zotov

We introduce a variational quantum algorithm to solve unconstrained black box binary optimization problems, i.e., problems in which the objective function is given as black box. This is in contrast to the typical setting of quantum…

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

The challenge of pattern recognition is to invoke a strategy that can accurately extract features of a dataset and classify its samples. In realistic scenarios this dataset may be a physical system from which we want to retrieve…

Quantum computing and quantum Monte Carlo (QMC) are respectively the state-of-the-art quantum and classical computing methods for understanding many-body quantum systems. Here, we propose a hybrid quantum-classical algorithm that integrates…

Quantum Physics · Physics 2025-11-17 Yukun Zhang , Yifei Huang , Jinzhao Sun , Dingshun Lv , Xiao Yuan

Quantum computing has become increasingly practical in solving real-world problems due to advances in hardware and algorithms. In this paper, we aim to design and estimate quantum machine learning and hybrid quantum-classical models in a…

Quantum Physics · Physics 2025-07-14 Leyang Wang , Yilun Gong , Zongrui Pei
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