Automatic contraction of unstructured tensor networks by Adam S. Jermyn

“…For lattice systems and other discrete models the partition function may be expressed as the contraction of a tensor network. Unfortunately computing such contractions is difficult, and many methods to make this tractable require periodic or otherwise structured networks. …”
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Persistent Tensors and Multiqudit Entanglement Transformation by Masoud Gharahi, Vladimir Lysikov

“…We construct a lower bound of the tensor rank for a new class of tensors, which we call $\textit{persistent tensors}$. …”
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Lattice calculation of hadronic tensor of the nucleon by Liang Jian, Liu Keh-Fei, Yang Yi-Bo

“…We report an attempt to calculate the deep inelastic scattering structure functions from the hadronic tensor calculated on the lattice. We used the Backus-Gilbert reconstruction method to address the inverse Laplace transformation for the analytic continuation from the Euclidean to the Minkowski space.…”
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Bayesian approach to magnetotelluric tensor decomposition by Michel Menvielle, Vaclav Cerv, Josef Pek

“…--StartFragment--> <p class="MsoNormal"><span lang="CS">Magnetotelluric directional analysis and impedance tensor decomposition are basic tools to validate a local/regional composite electrical model of the underlying structure. …”
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Building tensor networks for holographic states by Pawel Caputa, Jorrit Kruthoff, Onkar Parrikar

“…We propose that these novel Euclidean path integral states in the CFT can be interpreted as continuous tensor network (CTN) states. We argue that these CTN states satisfy a Ryu-Takayanagi-like minimal area upper bound on the entanglement entropies of boundary intervals, with the coefficient being equal to 1 4 G N $$ \frac{1}{4{G}_N} $$ ; the CTN corresponding to the bulk time-reflection symmetric slice saturates this bound. …”
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Tensor products of abstract Besov spaces by Dmytryshyn M.I.

“…We prove the interpolation theorem for tensor products of abstract Besov spaces, associated with closed operators in Banach spaces and show its application to the problems of approximations of elements of tensor products of Banach spaces.…”
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On damage tensor in linear anisotropic elasticity by Jarić Jovo, Kuzmanović Dragoslav

“…Here, making use of this paper, we derived elasticity tensor as a function of damage tensor also in closed form. …”
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Colored Tensor Models - a Review by Razvan Gurau, James P. Ryan

Subjects: “…colored tensor models…”
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Orthogonal random projection for tensor completion by Yali Feng, Guoxu Zhou

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Tensor-Based Algorithms for Image Classification by Stefan Klus, Patrick Gelß

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Encoding !-tensors as !-graphs with neighbourhood orders by David Quick

“…An enriched abstract tensor notation, called !-tensors, has been used to formalise the notion of !…”
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Tensor invariants of generalized Kenmotsu manifolds by Shihab Ali Abdul Al Majeed, Rustanov Aligadzhi

“…In this paper, we study the properties of generalized Kenmotsu manifolds, consider the second-order differential geometric invariants of the Riemannian curvature tensor of generalized Kenmotsu manifolds (by the symmetry properties of the Riemannian geometry tensor). …”
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Wormholes, geons, and the illusion of the tensor product by Adam Bzowski

“…Abstract In this paper I argue that the Hilbert space of states of a holographic, traversable wormhole does not factorize into the tensor product of the boundary Hilbert spaces. After presenting the general argument I analyze two examples: the scalar sectors of the BTZ geon and the AdS2 eternal wormhole. …”
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Numerical behavior of NVIDIA tensor cores by Massimiliano Fasi, Nicholas J. Higham, Mantas Mikaitis, Srikara Pranesh

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Tensor-Based Adaptive Filtering Algorithms by Laura-Maria Dogariu, Cristian-Lucian Stanciu, Camelia Elisei-Iliescu, Constantin Paleologu, Jacob Benesty, Silviu Ciochină

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Three-dimensional isometric tensor networks by Maurits S. J. Tepaske, David J. Luitz

“…Tensor network states are expected to be good representations of a large class of interesting quantum many-body wave functions. …”
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Pressure Tensor of Nanoscopic Liquid Drops by José G. Segovia-López, Adrian Carbajal-Domínguez

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Fusion tensor subspace transformation framework. by Su-Jing Wang, Chun-Guang Zhou, Xiaolan Fu

“…Tensor subspace transformation, a commonly used subspace transformation technique, has gained more and more popularity over the past few years because many objects in the real world can be naturally represented as multidimensional arrays, i.e. tensors. …”
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Topological dualities via tensor networks by C. Wille, J. Eisert, A. Altland

“…In this paper, we propose a unified approach to this duality, whose main protagonist is a tensor network (TN) assuming the role of an intermediate translator. …”
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Preparation and verification of tensor network states by Esther Cruz, Flavio Baccari, Jordi Tura, Norbert Schuch, J. Ignacio Cirac

“…We consider a family of tensor network states defined on regular lattices that come with a natural definition of an adiabatic path to prepare them. …”
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