Toward random tensor networks and holographic codes in CFT by Jeevan Chandra, Thomas Hartman

“…Abstract In holographic CFTs satisfying eigenstate thermalization, there is a regime where the operator product expansion can be approximated by a random tensor network. The geometry of the tensor network corresponds to a spatial slice in the holographic dual, with the tensors discretizing the radial direction. …”
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Quantum process tomography with unsupervised learning and tensor networks by Giacomo Torlai, Christopher J. Wood, Atithi Acharya, Giuseppe Carleo, Juan Carrasquilla, Leandro Aolita

“…Here, we present a technique for performing quantum process tomography that addresses these issues by combining a tensor network representation of the channel with a data-driven optimization inspired by unsupervised machine learning. …”
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Diffusion Tensor Imaging Radiomics for Diagnosis of Parkinson’s Disease by Jingwen Li, Xiaoming Liu, Xinyi Wang, Hanshu Liu, Zhicheng Lin, Nian Xiong

“…This study aims to introduce a radiomic tool to improve the sensitivity and specificity of diagnosis based on Diffusion Tensor Imaging (DTI) metrics. Methods: In this machine learning-based retrospective study, we collected basic clinical information and DTI images from 54 healthy controls (HCs) and 56 PD patients. …”
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Extraction of the Microstructure of Wool Fabrics Based on Structure Tensor by Jiani Zhu, Youwei Ma, Guoqing Ding, Manhua Liu, Xin Chen

“…The raw grayscale data were converted into eigenvectors of the structure tensor to segment the individual yarns. These data were then used to calculate the three parameters of diameter, spacing and the path of the center points of the yarn for the microstructure. …”
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On contact conformal curvature tensor in trans-Sasakian manifolds by Riddhi Jung Shah

Subjects: “…Contact conformal curvature tensor…”
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TRES: An R Package for Tensor Regression and Envelope Algorithms by Jing Zeng, Wenjing Wang, Xin Zhang

“…Recently, there has been a growing interest in tensor data analysis, where tensor regression is the cornerstone of statistical modeling for tensor data. …”
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Memory Tensor for Non-Markovian Dynamics with Random Hamiltonian by Alexander Evgen’evich Teretenkov

“…Moreover, we introduce and calculate the memory tensor, which characterizes multi-time correlations against the Markovian ones. …”
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Gravitational Waves in Scalar–Tensor–Vector Gravity Theory by Yunqi Liu, Wei-Liang Qian, Yungui Gong, Bin Wang

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Scalable and Flexible Classical Shadow Tomography with Tensor Networks by Ahmed A. Akhtar, Hong-Ye Hu, Yi-Zhuang You

“…The method combines the recently proposed locally-scrambled classical shadow tomography framework with tensor network techniques to achieve scalability for computing the classical shadow reconstruction map and evaluating various physical properties. …”
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On Sombor indices of generalized tensor product of graph families by Nadar Jenita Mary Masilamani Raja, A. Anuradha

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Rank-Adaptive Tensor Completion Based on Tucker Decomposition by Siqi Liu, Xiaoyu Shi, Qifeng Liao

Subjects: “…tensor completion…”
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Hyperoptimized Approximate Contraction of Tensor Networks with Arbitrary Geometry by Johnnie Gray, Garnet Kin-Lic Chan

“…Tensor network contraction is central to problems ranging from many-body physics to computer science. …”
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MR diffusion tensor imaging and fiber tracking technique by Victor Ferastroaru, Adina Roceanu, Ovidiu Bajenaru, Cristina Tiu, Florina Antochi, Magda Vasile, Maria Onu, Denisa Ferastraoaru, Corneliu Balan, Diana Broboana, Ioana Lupescu, Elena Tarta-Arsene, F. Preoteasa

Subjects: “…diffusion tensor imaging…”
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Principles of diffusion tensor imaging and its application to neuroscience by S. V. Kitaev, T. A. Popova

“…This review article deals with technical issues of diffusionweighted imaging (DWI), diffusion tensor imaging (DTI) andmagnetic resonance tractography. …”
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Tensor Instruction Generation Optimization Fusing with Loop Partitioning by LIANG Jiali, HUA Baojian, SU Shaobo

Subjects: “…deep learning|tensor compiler|domain-specific processor|tensorization|loop partition…”
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Tensor network compressed sensing with unsupervised machine learning by Shi-Ju Ran, Zheng-Zhi Sun, Shao-Ming Fei, Gang Su, Maciej Lewenstein

“…We propose the tensor-network compressed sensing (TNCS) by incorporating the ideas of compressed sensing, tensor network (TN), and machine learning. …”
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Fundamental limits on concentrating and preserving tensorized quantum resources by Jaehak Lee, Kyunghyun Baek, Jiyong Park, Jaewan Kim, Hyunchul Nha

“…In this paper, we investigate the manipulation of quantum resources possessing the so-called tensorization property and identify the fundamental limitations on concentrating and preserving those quantum resources. …”
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Algebras of Binary Isolating Formulas for Tensor Product Theories by D.Yu. Emel’yanov

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Structure of Neutron Stars in Massive Scalar-Tensor Gravity by Roxana Rosca-Mead, Christopher J. Moore, Ulrich Sperhake, Michalis Agathos, Davide Gerosa

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Linear to multi-linear algebra and systems using tensors by Divyanshu Pandey, Adithya Venugopal, Harry Leib

Subjects: “…tensors…”
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