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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Descent and Forms of Tensor Categories by Etingof, Pavel I., Gelaki, Shlomo

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On the Riemann tensor in double field theory by Hohm, Olaf, Zwiebach, Barton

“…Double field theory provides T-duality covariant generalized tensors that are natural extensions of the scalar and Ricci curvatures of Riemannian geometry. …”
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Reductions of Tensor Categories Modulo Primes by Gelaki, Shlomo, Etingof, Pavel I.

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6D supergravity without tensor multiplets by Kumar, Vijay, Park, Daniel S., Taylor, Washington

“…We systematically investigate the finite set of possible gauge groups and matter content for supergravity theories in six dimensions with no tensor multiplets, focusing on nonabelian gauge groups which are a product of SU(N) factors. …”
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Low-Rank Tensors for Scoring Dependency Structures by Lei, Tao, Zhang, Yuan, Barzilay, Regina, Jaakkola, Tommi S.

“…We explicitly maintain the parameters as a low-rank tensor to obtain low dimensional representations of words in their syntactic roles, and to leverage modularity in the tensor for easy training with online algorithms. …”
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Hierarchical Low-Rank Tensors for Multilingual Transfer Parsing by Barzilay, Regina, Zhang, Yuan

“…Algebraically, this hierarchical tensor is equivalent to the sum of traditional tensors with shared components, and thus can be effectively trained with standard online algorithms. …”
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Tensor-product representations for string-net condensed states by Gu, Zheng-Cheng, Levin, Michael, Swingle, Brian Gordon, Wen, Xiao-Gang

“…We show that general string-net condensed states have a natural representation in terms of tensor product states (TPSs). These TPSs are built from local tensors. …”
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Precise Measurement of Deuteron Tensor Analyzing Powers with BLAST by Kohl, Michael, Alarcon, R., Booth, E., Calarco, John R., Crawford, C., Fatemi, Renee, Filoti, O., Gao, H., Geis, E., Karpius, P., Lee, T., McIlhany, K., Rapaport, J., Sindile, A., Sirca, S., Six, E., Smith, T., Tonguc, B., Xu, W., Zhang, C., Akdogan, Taylan, Bertozzi, William, Botto, Tancredi, Clasie, Benjamin Michael Patrick, DeGrush, Adam J., Dow, Karen A., Farkhondeh, Manouchehr, Franklin, Wilbur, Gilad, Shalev, Hasell, Douglas K., Kolster, Hauke, Maschinot, Aaron Joseph, Matthews, J., Meitanis, Nikolas, Milner, Richard G., Redwine, Robert P., Seely, J., Shinozaki, A., Tschalar, C., Tsentalovich, Evgeni P., Turchinetz, William E., Xiao, Y., Zhou, Z. -L., Ziskin, Vitaliy, Zwart, T.

“…We report a precision measurement of the deuteron tensor analyzing powers T[subscript 20] and T[subscript 21] at the MIT-Bates Linear Accelerator Center. …”
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Model Reduction and Simulation of Nonlinear Circuits via Tensor Decomposition by Haotian Liu, Daniel, Luca, Ngai Wong, Luca

“…In this paper, we utilize tensors (namely, a higher order generalization of matrices) to develop a tensor-based nonlinear model order reduction algorithm we named TNMOR for the efficient simulation of nonlinear circuits. …”
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Dictionary Learning and Tensor Decomposition via the Sum-of-Squares Method by Barak, Boaz, Steurer, David, Kelner, Jonathan Adam

“…We achieve this by designing an algorithm for noisy tensor decomposition that can recover, under quite general conditions, an approximate rank-one decomposition of a tensor T, given access to a tensor T[supserscript ′] that is τ-close to T in the spectral norm (when considered as a matrix). …”
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High-order low-rank tensors for semantic role labeling by Lei, Tao, Zhang, Yuan, Marquez, Lluis, Moschitti, Alessandro, Barzilay, Regina

“…This paper introduces a tensor-based approach to semantic role labeling (SRL). …”
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STAVES: Speedy tensor-aided Volterra-based electronic simulator by Xiong, Xiaoyan Y. Z., Batselier, Kim, Jiang, Lijun, Wong, Ngai, Liu, Haotian, Daniel, Luca, Wong, Ngai Chuen

“…Significant computational savings can often be achieved when the appropriate low-rank tensor decomposition is available. In this paper we exploit a strong link between tensors and frequency-domain Volterra kernels in modeling nonlinear systems. …”
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Dual-Phase Cardiac Diffusion Tensor Imaging with Strain Correction by Stoeck, Christian T., Kalinowska, Aleksandra, von Deuster, Constantin, Harmer, Jack, Chan, Rachel W., Niemann, Markus, Manka, Robert, Atkinson, David, Sosnovik, David E., Mekkaoui, Choukri, Kozerke, Sebastian

“…Purpose: In this work we present a dual-phase diffusion tensor imaging (DTI) technique that incorporates a correction scheme for the cardiac material strain, based on 3D myocardial tagging. …”
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Tensor Computation: A New Framework for High-Dimensional Problems in EDA by Zhang, Zheng, Batselier, Kim, Liu, Haotian, Daniel, Luca, Wong, Ngai

“…This paper presents “tensor computation” as an alternative general framework for the development of efficient EDA algorithms and tools. …”
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Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order by Gu, Zheng-Cheng, Wen, Xiao-Gang

“…We study the renormalization group flow of the Lagrangian for statistical and quantum systems by representing their path integral in terms of a tensor network. Using a tensor-entanglement-filtering renormalization approach that removes local entanglement and produces a coarse-grained lattice, we show that the resulting renormalization flow of the tensors in the tensor network has a nice fixed-point structure. …”
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Effective gravitational wave stress-energy tensor in alternative theories of gravity by Stein, Leo Chaim, Yunes, Nicolas

“…For gravitational waves, the dominant contribution is characterized by an effective stress-energy tensor at future null infinity. We employ perturbation theory and the short-wavelength approximation to compute this stress-energy tensor in a wide class of alternative theories. …”
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DT-REFinD: Diffusion Tensor Registration With Exact Finite-Strain Differential by Golland, Polina, Yeo, Boon Thye Thomas, Vercauteren, Tom, Fillard, Pierre, Peyrat, Jean-Marc, Pennec, Xavier, Ayache, Nicholas, Clatz, Olivier

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Tensor product representation of a topological ordered phase: Necessary symmetry conditions by Chuang, Isaac L., Chen, Xie, Wen, Xiao-Gang, Zeng, Bei, Gu, Zheng-Cheng

“…However, an important issue arises when we use tensor product states (TPSs) as variational states to find the ground state of a Hamiltonian: can arbitrary variations in the tensors that represent ground state of a Hamiltonian be induced by local perturbations to the Hamiltonian? …”
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Effective slip boundary conditions for arbitrary periodic surfaces: the surface mobility tensor by Kamrin, Kenneth N., Bazant, Martin Z., Stone, Howard A.

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