InstaLoc: one-shot global lidar localisation in indoor environments through instance learning by Fallon, M

“…InstaLoc operates through two networks based on spatially sparse tensors to directly infer dense 3D lidar point clouds. …”

Infinite dimensional groups and Riemann surface field theories by Carey, A, Hannabuss, K

“…Then our main result shows that Mackey induction may be applied and yields representations of the connected component of the identity of Script G sign which have the form of a Fock representation of an infinite dimensional Heisenberg group tensored with a finite dimensional representation of a subgroup isomorphic to the first cohomology group of the surface obtained by capping the boundary circles with discs. …”

Electron spin as fingerprint for charge generation and transport in doped organic semiconductors by Privitera, A, Warren, R, Londi, G, Kaienburg, P, Liu, J, Sperlich, A, Lauritzen, AE, Thimm, O, Ardavan, A, Beljonne, D, Riede, MK

“…Electron paramagnetic resonance (EPR) spectroscopy discloses the presence of two main paramagnetic species distinguished by two different g-tensors, which are assigned based on density functional theory calculations to the formation of a positive polaron on the host and a radical anion on the dopant. …”

Graph-based homogenisation for modelling cardiac fibrosis by Farquhar, M, Burrage, K, dos Santos, RW, Bueno Orovio, A, Lawson, B

“…Homogenisation achieves this by deriving effective conductivity tensors so that a coarser mesh can then be used for numerical simulation. …”

Optical Chirality Determined from Mueller Matrices by Hans Arwin, Stefan Schoeche, James Hilfiker, Mattias Hartveit, Kenneth Järrendahl, Olga Rubi Juárez-Rivera, Arturo Mendoza-Galván, Roger Magnusson

“…Optical chirality, in terms of circular birefringence and circular dichroism, is described by its electromagnetic and magnetoelectric material tensors, and the corresponding optical activity contributes to the Mueller matrix. …”
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Deep attention-based neural networks for explainable heart sound classification by Zhao Ren, Kun Qian, Fengquan Dong, Zhenyu Dai, Wolfgang Nejdl, Yoshiharu Yamamoto, Björn W. Schuller

“…We further analyse the deep neural networks by visualising the attention tensors.…”
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Application of the Fourier Series Expansion Method for the Inversion of Gravity Gradients using Gravity Anomalies by Bei Liu, Shaofeng Bian, Bing Ji, Shuguang Wu, Pengfei Xian, Cheng Chen, Ruichen Zhang

“…Based on gravity anomalies, the analytic expressions of the gravity gradient tensors have been deduced, which provides a new mathematical method for obtaining gravity gradient data. …”
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Structural Architecture and Permeability Patterns of Crystalline Reservoir Rocks in the Northern Upper Rhine Graben: Insights from Surface Analogues of the Odenwald by Claire Bossennec, Lukas Seib, Matthis Frey, Jeroen van der Vaart, Ingo Sass

“…Fracture apertures and permeability tensors were then calculated for two application case studies, including the stress field effect on aperture. …”
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FDTD Analysis of Relativistic Bistatic Polarized Scattering From a High-Speed Moving Dielectric Coated Target by Pengcheng Ren, Lei Kuang, Jianjun Gao, Qing Huo Liu

“…The scattered field near the object is solved by the FDTD method with full permittivity and conductivity tensors in the rest frame, then far-zone polarized scattered field is obtained by the implementation of near-to-far field transformation. …”
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Discretization Approach for the Homogenization of Three-Dimensional Solid-Solid Phononic Crystals in the Quasi-Static Limit: Density and Elastic Moduli by J. Flores Méndez, A. C. Pinón Reyes, Aurelio H. Heredia Jiménez, Roberto C. Ambrosio Lázaro, A. Morales-Sánchez, M. Moreno Moreno, J. A. Luna-López, F. Severiano Carrillo, M. A. Meraz Melo

“…With the application of a homogenization theory, based on the Fourier formalism (which provides efficient and exact formulas by which to determine all the components of the effective stiffness and mass density tensors, valid in the regime of large wavelengths), a new approach to calculate the effective quasi-static response in three-dimensional solid-solid phononic crystals is reported. …”
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Accurate Estimation of Brittle Fracture Toughness Deterioration in Steel Structures Subjected to Large Complicated Prestrains by Hiroaki Kosuge, Tomoya Kawabata, Taira Okita, Hidenori Nako

“…However, strains are tensors comprising multiple components, so the effect of prestrain on fracture toughness is not simple. …”
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Anisotropic Effective Elastic Properties for Multi-Dimensional Fractured Models by Shikai Jian, Liyun Fu, Yifan Cheng

“…The numerical approach for calculating equivalent stiffness tensors in two-dimensions is compared to the theoretical models for different fracture densities. …”
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Self-bridging metamaterials surpassing the theoretical limit of Poisson’s ratios by Jinhao Zhang, Mi Xiao, Liang Gao, Andrea Alù, Fengwen Wang

“…Bridging slits between microstructures via self-contacts yields multiple rotation behaviors of microscale levers, which break the symmetry and invariance of the constitutive tensors under different load scenarios, enabling inaccessible deformation patterns. …”
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Scattering equations: from projective spaces to tropical grassmannians by Cachazo, Freddy, Early, Nick, Guevara, Alfredo, Mizera, Sebastian

“…The standard, k = 2 Mandelstam invariants, sab, are generalized to completely symmetric tensors s a 1 a 2 … a k $$ {\mathrm{s}}_{a_1{a}_2\dots {a}_k} $$ subject to a ‘massless’ condition s a 1 a 2 … a k − 2 b b = 0 $$ {\mathrm{s}}_{a_1{a}_2\dots {a}_{k-2}bb}=0 $$ and to ‘momentum conservation’. …”
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Infrared reflectance and transmission spectra in II-VI alloys and superlattices by Talwar, Devki N., Yang, Tzuen-Rong, Feng, Zhe Chuan, Becla, Piotr

“…Using a standard methodology of multilayer optics with effective-medium dielectric tensors, we simulated the FIR transmission and reflectivity spectra at oblique incidence (Berreman's effect) in many II-VI free-standing thin films, epilayers and superlattices. …”
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Rheology of Polymeric Systems : Principles and Applications / by Carreau, Pierre J., author 390365, De Kee, Daniel C. R., author 390372, Chhabra, Raj P., author 390378, ScienceDirect (Online service) 7722

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Quantum Hall and Shubnikov-de Haas Effects in Graphene within Non-Markovian Langevin Approach by Erkin Kh. Alpomishev, Gurgen G. Adamian, Nikolay V. Antonenko

“…Analytical expressions are obtained for the tensors of electric and thermal conductivity and/or resistivity. …”
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Opportunities and Limits of the Use of Azides in Industrial Production. Implementation of Safety Measures by Jean-Pierre Hagenbuch

“…In industrial synthesis, sodium azide is actually the starting material of herbicides, anti-HIV pharmaceuticals, anti-pain compounds and hypo tensors. This massive use of sodium azide represents severe toxicological and physical damage risks. …”
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QCD Theory of the Hadrons and Filling the Yang–Mills Mass Gap by Jay R. Yablon

“…The rank-3 antisymmetric tensors which are the magnetic monopoles of SU(N) Yang–Mills gauge theory dynamics, unlike their counterparts in Maxwell’s U(1) electrodynamics, are non-vanishing, and do permit a net flux of Yang–Mills analogs to the magnetic field through closed spatial surfaces. …”
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Fastai: A Layered API for Deep Learning by Jeremy Howard, Sylvain Gugger

“…These abstractions can be expressed concisely and clearly by leveraging the dynamism of the underlying Python language and the flexibility of the PyTorch library. fastai includes: a new type dispatch system for Python along with a semantic type hierarchy for tensors; a GPU-optimized computer vision library which can be extended in pure Python; an optimizer which refactors out the common functionality of modern optimizers into two basic pieces, allowing optimization algorithms to be implemented in 4−5 lines of code; a novel 2-way callback system that can access any part of the data, model, or optimizer and change it at any point during training; a new data block API; and much more. …”
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