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Tensor methods have become a promising tool to solve high-dimensional problems in the big data era. By exploiting possible low-rank tensor factorization, many high-dimensional model-based or data-driven problems can be solved to facilitate…

Optimization and Control · Mathematics 2019-08-22 Chunfeng Cui , Cole Hawkins , Zheng Zhang

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

Recently the use of Noisy Intermediate Scale Quantum (NISQ) devices for machine learning tasks has been proposed. The propositions often perform poorly due to various restrictions. However, the quantum devices should perform well in…

Quantum Physics · Physics 2019-07-12 Przemysław Sadowski

Developing high-precision models of the nuclear force and propagating the associated uncertainties in quantum many-body calculations of nuclei and nuclear matter remain key challenges for ab initio nuclear theory. In the present work we…

Nuclear Theory · Physics 2024-11-18 Pengsheng Wen , Jeremy W. Holt , Maggie Li

Network neuroscience is the emerging discipline concerned with investigating the complex patterns of interconnections found in neural systems, and to identify principles with which to understand them. Within this discipline, one…

Neurons and Cognition · Quantitative Biology 2017-08-29 Richard F. Betzel , Danielle S. Bassett

Many recent machine learning tasks resort to quantum computing to improve classification accuracy and training efficiency by taking advantage of quantum mechanics, known as quantum machine learning (QML). The variational quantum circuit…

Quantum Physics · Physics 2022-08-17 Jindi Wu , Zeyi Tao , Qun Li

Deciphering complex gene-gene interactions remains challenging in transcriptomics as traditional methods often miss higher-order and nonlinear dependencies. This study introduces a quantum-inspired framework leveraging tensor networks (TNs)…

Molecular Networks · Quantitative Biology 2025-09-09 Olatz Sanz Larrarte , Borja Aizpurua , Reza Dastbasteh , Ruben M. Otxoa , Josu Etxezarreta Martinez

Generative AI presents chemists with novel ideas for drug design and facilitates the exploration of vast chemical spaces. Diffusion models (DMs), an emerging tool, have recently attracted great attention in drug R\&D. This paper…

Biomolecules · Quantitative Biology 2025-07-14 Peining Zhang , Daniel Baker , Minghu Song , Jinbo Bi

With the overwhelming success in the field of quantum information in the last decades, the "quest" for a Quantum Neural Network (QNN) model began in order to combine quantum computing with the striking properties of neural computing. This…

Quantum Physics · Physics 2014-09-01 M. Schuld , I. Sinayskiy , F. Petruccione

Quantum machine learning (QML) is rapidly transitioning from theoretical promise to practical relevance across data-intensive scientific domains. In this Review, we provide a structured overview of recent advances that bridge foundational…

Quantum Physics · Physics 2026-02-25 Vinit Singh , Amandeep Singh Bhatia , Mandeep Kaur Saggi , Manas Sajjan , Sabre Kais

Drug discovery using deep learning has attracted a lot of attention of late as it has obvious advantages like higher efficiency, less manual guessing and faster process time. In this paper, we present a novel neural network for generating…

Biomolecules · Quantitative Biology 2021-10-08 Abhinav Sagar

One of the most important properties of neural networks is the clustering of local minima of the loss function near the global minimum, enabling efficient training. Though generative models implemented on quantum computers are known to be…

Quantum Physics · Physics 2023-01-13 Eric R. Anschuetz

Tensor network methods strike a middle ground between fully-fledged quantum computing and classical computing, as they take inspiration from quantum systems to significantly speed up certain classical operations. Their strength lies in…

Optics · Physics 2026-02-10 Nicolas Allegra

Neural networks are computing models that have been leading progress in Machine Learning (ML) and Artificial Intelligence (AI) applications. In parallel, the first small scale quantum computing devices have become available in recent years,…

Quantum Physics · Physics 2021-05-21 Stefano Mangini , Francesco Tacchino , Dario Gerace , Daniele Bajoni , Chiara Macchiavello

The intrinsic probabilistic nature of quantum mechanics invokes endeavors of designing quantum generative learning models (QGLMs). Despite the empirical achievements, the foundations and the potential advantages of QGLMs remain largely…

Quantum Physics · Physics 2022-08-08 Yuxuan Du , Zhuozhuo Tu , Bujiao Wu , Xiao Yuan , Dacheng Tao

Unsupervised training of generative models is a machine learning task that has many applications in scientific computing. In this work we evaluate the efficacy of using quantum circuit-based generative models to generate synthetic data of…

Quantum Physics · Physics 2022-11-23 Andrea Delgado , Kathleen E. Hamilton

Generative AI poses both opportunities and risks for solving inverse design problems in the sciences. Generative tools provide the ability to expand and refine a search space autonomously, but do so at the cost of exploring low-quality…

Machine Learning · Computer Science 2025-10-01 Marcus Schwarting , Logan Ward , Nathaniel Hudson , Xiaoli Yan , Ben Blaiszik , Santanu Chaudhuri , Eliu Huerta , Ian Foster

A tensor network is a type of decomposition used to express and approximate large arrays of data. A given data-set, quantum state or higher dimensional multi-linear map is factored and approximated by a composition of smaller multi-linear…

Quantum Physics · Physics 2022-07-08 Richik Sengupta , Soumik Adhikary , Ivan Oseledets , Jacob Biamonte

Near-term quantum devices generally suffer from shallow circuit depth and hence limited expressivity due to noise and decoherence. To address this, we propose tensor-network-assisted parametrized quantum circuits, which concatenate a…

Quantum Physics · Physics 2023-12-01 Junxiang Huang , Wenhao He , Yukun Zhang , Yusen Wu , Bujiao Wu , Xiao Yuan

Quantum machine learning is known as one of the promising applications of quantum computers. Many types of quantum machine learning methods have been released, such as Quantum Annealer, Quantum Neural Network, Variational Quantum…

Quantum Physics · Physics 2025-09-10 Hikaru Wakaura