Eigenconfigurations of tensors by Abo, H, Seigal, A, Sturmfels, B

“…Likewise, polynomial self-maps of a projective space are represented by tensors. We study the configuration of fixed points of a tensor or symmetric tensor.…”

In-database learning with sparse tensors by Abo Khamis, M, Ngo, H, Nguyen, X, Olteanu, D, Schleich, M

“…We show that, by synergizing key tools from relational database theory such as schema information, query structure, recent advances in query evaluation algorithms, and from linear algebra such as various tensor and matrix operations, one can formulate in-database learning problems and design efficient algorithms to solve them. …”

Tensors of three affine views by Thorhallsson, T, Murray, D

“…In this paper we specialize the projective unifocal, bifocal, and trifocal tensors to the affine case, and show how the tensors obtained relate to the registered tensors encountered in previous work. …”

Nuclear and trace ideals in tensored *−categories by Abramsky, S, Blute, R, Panangaden, P

Boolean tensor decomposition for conjunctive queries with negation by Abo Khamis, M, Ngo, H, Olteanu, D, Suciu, D

“…We then generalize the known color-coding technique to conjunctions of NAE predicates and explain it via a Boolean tensor decomposition of conjunctions of NAE predicates. …”

Improved bounds on the polarization tensor for thick domains by Capdeboscq, Y, Kang, H

“…This paper addresses a question regarding optimal bounds of the polarization tensors. We prove that the geometry independent optimal bounds for the trace of the polarization tensor can be improved if the domain has a certain thickness.…”

Hierarchies of minion tests for PCSPs through tensors by Ciardo, L, Živný, S

“…We exploit the geometry of the tensor spaces arising from our construction to prove general properties of such hierarchies. …”

Resolving Lexical Ambiguity in Tensor Regression Models of Meaning by Kartsaklis, D, Kalchbrenner, N, Sadrzadeh, M

Prior Disambiguation of Word Tensors for Constructing Sentence Vectors by Kartsaklis, D, Sadrzadeh, M

Coupled tensor decomposition: A step towards robust components by Genicot, M, Absil, P, Lambiotte, R, Sami, S

“…Combining information present in multiple datasets is one of the key challenges to fully benefit from the increasing availability of data in a variety of fields. Coupled tensor factorization aims to address this challenge by performing a simultaneous decomposition of different tensors. …”

Evaluating Neural Word Representations in Tensor−Based Compositional Settings by Milajevs, D, Kartsaklis, D, Sadrzadeh, M, Purver, M

Remarks on the Q-tensor model for equilibrium liquid crystal configurations by Ball, J, Majumdar, A

Stability of earthquake moment tensor inversions: effect of the double-couple constraint by Henry, C, Woodhouse, J, Das, S

“…We show that spurious large non-double-couple components can be obtained in inversions for the full deviatoric moment tensor for shallow crustal earthquakes due to inaccurate Earth models. …”

Estimation of conductivity tensors from human ventricular optical mapping recordings by Walmsley, J, Mirams, G, Efimov, I, Burrage, K, Rodriguez, B

Diffusion tensor magnetic resonance imaging of myocardial disarray in hypertrophic cardiomyopathy by Ariga, R, Tunnicliffe, E, Manohar, S, Mahmod, M, Raman, B, Piechnik, S, Francis, J, Robson, M, Watkins, H, Neubauer, S

Seq2Tens: an efficient representation of sequences by low-rank tensor projections by Toth, C, Bonnier, P, Oberhauser, H

“…To address the innate computational complexity of this algebra, we use compositions of low-rank tensor projections. This yields modular and scalable building blocks that give state-of-the-art performance on standard benchmarks such as multivariate time series classification, mortality prediction and generative models for video.…”

CORPUS CALLOSUM DIFFUSION TENSOR IMAGING AS A BIOMARKER FOR MOTOR NEURONE DISEASE by Filippini, N, Douaud, G, Mackay, C, Knight, S, Talbot, K, Turner, MR

Diffusion tensor imaging defines subregions of human lateral premotor cortex with distinct frontoparietal connections by Tomassini, V, Jbabdi, S, Klein, J, Behrens, T, Rushworth, M, Matthews, P, Palace, J, Johansen-Berg, H

Test of exotic scalar and tensor interactions in K-e3 decay using stopped positive kaons by Levchenko, A, Khotjantsev, A, Ivashkin, A, Abe, M, Aliev, M, Anisimovsky, V, Aoki, M, Arai, I, Asano, Y, Baker, T, Blecher, M, Depommier, P, Hasinoff, M, Horie, K, Huang, H, Igarashi, Y, Ikeda, T, Imazato, J, Khabibullin, M, Kudenko, Y, Kuno, Y, Lee, L, Lim, G, Macdonald, J, Marlow, DR

“…Both scalar f(S) and tensor f(T) form factors are consistent with the Standard Model predictions of zero values. …”

Diffusion tensor imaging reveals white matter differences between sporadic and familial forms of amyotrophic lateral sclerosis by Stanton, B, Shinhmar, D, Turner, M, Williams, VC, Williams, S, Blain, C, Giampietro, V, Leigh, P, Catani, M, Andersen, P, Simmons, A