Tensor Algebras in Finite Tensor Categories by Etingof, Pavel, Kinser, Ryan, Walton, Chelsea

“…We work within the broader framework of finite (multi-)tensor categories $\mathcal{C}$, classifying tensor algebras in $\mathcal{C}$ in terms of $\mathcal{C}$-module categories. …”
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A New Model for Tensor Completion: Smooth Convolutional Tensor Factorization by Hiromu Takayama, Tatsuya Yokota

Subjects: “…Tensor completion…”
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Low-Rank Tensor Completion by Sum of Tensor Nuclear Norm Minimization by Yaru Su, Xiaohui Wu, Wenxi Liu

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Fast and Accurate Tensor Completion with Total Variation Regularized Tensor Trains by Ko, Ching-Yun, Batselier, Kim, Yu, Wenjian, Wong, Ngai

“…We propose a new tensor completion method based on tensor trains. The to-be-completed tensor is modeled as a low-rank tensor train, where we use the known tensor entries and their coordinates to update the tensor train. …”
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Invariant perfect tensors by Youning Li, Muxin Han, Markus Grassl, Bei Zeng

Subjects: “…perfect invariant tensor…”
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Hidden Tensor Structures by Marek Czachor

Subjects: “…tensor product structures…”
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VARIETIES OF SIGNATURE TENSORS by CARLOS AMÉNDOLA, PETER FRIZ, BERND STURMFELS

“…We introduce varieties of signature tensors for both deterministic paths and random paths. …”
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Tensor Decompositions and Their Properties by Patrik Peška, Marek Jukl, Josef Mikeš

Subjects: “…tensor…”
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Tensor z-Transform by Shih Yu Chang, Hsiao-Chun Wu

“…Our proposed new tensor z-transform in this work can be applied to design digital tensor filters including infinite-impulse-response (IIR) tensor filters (involving global feedback mechanisms) and finite-impulse-response (FIR) tensor filters. …”
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Spherical-harmonic tensors by Francisco Gonzalez Ledesma, Matthew Mewes

“…The connection between spherical harmonics and symmetric tensors is explored. For each spherical harmonic, a corresponding traceless symmetric tensor is constructed. …”
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The tensor algebra compiler by Kjolstad, Fredrik, Kamil, Shoaib, Chou, Stephen, Lugato, David, Amarasinghe, Saman

“…<jats:p>Tensor algebra is a powerful tool with applications in machine learning, data analytics, engineering and the physical sciences. …”
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Sparse Tensor Transpositions by Mueller, Suzanne, Ahrens, Willow, Chou, Stephen, Kjolstad, Fredrik, Amarasinghe, Saman

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Examples on the Non-Uniqueness of the Rank 1 Tensor Decomposition of Rank 4 Tensors by Edoardo Ballico

Subjects: “…tensor rank…”
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Tensor Conjugate-Gradient methods for tensor linear discrete ill-posed problems by Hong-Mei Song, Shi-Wei Wang, Guang-Xin Huang

“…This paper presents three types of tensor Conjugate-Gradient (tCG) methods for solving large-scale linear discrete ill-posed problems based on the t-product between third-order tensors. …”
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Causal structure in the scalar–tensor theory with field derivative coupling to the Einstein tensor by Masato Minamitsuji

“…We investigate the causal structure in the scalar–tensor theory with the field derivative coupling to the Einstein tensor, which is a class of the Horndeski theory in the four-dimensional spacetime. …”
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Overview of Tensor-Based Cooperative MIMO Communication Systems—Part 1: Tensor Modeling by Gérard Favier, Danilo Sousa Rocha

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A Non-Local Tensor Completion Algorithm Based on Weighted Tensor Nuclear Norm by Wenzhe Wang, Jingjing Zheng, Li Zhao, Huiling Chen, Xiaoqin Zhang

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Full tensor registration of diffusion tensor magnetic resonance imaging for assessment of cardiac pathologies by Gil Carla S, Meredith Stephen D, Curran Kathleen M

Tensor Calculus in Digital Colorimetry by Y. N. Saukova, M. A. Hundzina

“…The transition from the covariance hypercube to high-dimensional matrices and tensors of the first, second and higher ranks provides the prospect of optimizing the color parameters of a digital image by the criterion of information entropy.Tensor calculus provides opportunities for expanding the dynamic range in color measurements describing multidimensional vector fields and quantized spaces with indexing tensors and decomposing them into matrices of low orders.The proposed complex approach based on tensor calculus. …”
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Local tensor-network codes by Terry Farrelly, David K Tuckett, Thomas M Stace

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