Tensor reduction of loop integrals by Charalampos Anastasiou, Julia Karlen, Matilde Vicini

“…In this article, we present a closed-form solution of this diagonalisation problem in arbitrary tensor integrals. We employ a basis of tensors whose building blocks are the external momentum vectors and a metric tensor transverse to the space of external momenta. …”
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On plastic dislocation density tensor by Bohua Sun

“…This article attempts to clarify an issue regarding the proper definition of plastic dislocation density tensor. This study shows that the Ortiz’s and Berdichevsky’s plastic dislocation density tensors are equivalent with each other, but not with Kondo’s one. …”
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Fast counting with tensor networks by Stefanos Kourtis, Claudio Chamon, Eduardo R. Mucciolo, Andrei E. Ruckenstein

“…We introduce tensor network contraction algorithms for counting satisfying assignments of constraint satisfaction problems (#CSPs). …”
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Variational tensor network operator by Yu-Hsueh Chen, Ke Hsu, Wei-Lin Tu, Hyun-Yong Lee, Ying-Jer Kao

“…We propose a simple and generic construction of the variational tensor network operators to study the quantum spin systems by the synergy of ideas from the imaginary-time evolution and the variational optimization of trial wave functions. …”
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Curvature tensor in discrete gravity by Ali H. Chamseddine, Ola Malaeb, Sara Najem

“…Abstract We study numerically the curvature tensor in a three-dimensional discrete space. Starting from the continuous metric of a three-sphere, we transformed it into a discrete space using three integers $$n_1, n_2$$ n 1 , n 2 , and $$n_3$$ n 3 . …”
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m-Isometric tensor products by Duggal Bhagawati Prashad, Kim In Hyoun

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Multi-Label Confusion Tensor by Damir Krstinic, Ana Kuzmanic Skelin, Ivan Slapnicar, Maja Braovic

“…The Multi-Label Confusion Tensor was tested on synthetic and real data and compared with existing methods for calculating the multi-label confusion matrix. …”
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O-species and tensor algebras by Nadiya Gubareni

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Solving Linear Tensor Equations by Damianos Iosifidis

Subjects: “…tensor equations…”
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The pressure tensor in tangential equilibria by F. Mottez

“…Even in very simple cases, the pressure tensor is not isotropic and not gyrotropic. The differences between a scalar pressure and the pressure tensor derived in the frame of the Maxwell-Vlasov theory are significant when the gradient scales are of the order of the Larmor radius; they concern mainly the ion pressure tensor.…”
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The sum of width-one tensors by William Q. Erickson, Jan Kretschmann

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Counting Tensor Rank Decompositions by Dennis Obster, Naoki Sasakura

Subjects: “…canonical tensor model…”
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Anyon condensation and tensor categories by Liang Kong

“…Instead of studying anyon condensation in various concrete models, we take a bootstrap approach by considering an abstract situation, in which an anyon condensation happens in a 2-d topological phase with anyonic excitations given by a modular tensor category C; and the anyons in the condensed phase are given by another modular tensor category D. …”
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Combinatorics of symplectic invariant tensors by Martin Rubey, Bruce W. Westbury

Subjects: “…invariant tensors…”
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Lattice gauge tensor networks by Pietro Silvi, Enrique Rico, Tommaso Calarco, Simone Montangero

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Spectral Tensor-Train Decomposition by Engsig-Karup, Allan P., Bigoni, Daniele, Marzouk, Youssef M

“…We propose a new function approximation scheme based on a spectral extension of the tensor-train (TT) decomposition. We first define a functional version of the TT decomposition and analyze its properties. …”
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Sparse tensor algebra compilation by Kjølstad, Fredrik Berg.

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Optimal recovery of tensor slices by Farias, Vivek F., Li, Andrew A.

“…Viewing the matrix we seek to recover and the side information we have as slices of a tensor, we consider the problem of Slice Recovery, which is to recover specific slices of a tensor from noisy observations of the tensor. …”
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Themes in numerical tensor calculus by Mickelin, Oscar

“…This thesis studies several distinct, but related, aspects of numerical tensor calculus. First, we introduce a simple, black-box compression format for tensors with a multiscale structure. …”
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Descent and Forms of Tensor Categories by Etingof, Pavel I., Gelaki, Shlomo

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