Results 11 to 20 of about 4,186,119 (356)
Relative Error Tensor Low Rank Approximation [PDF]
We consider relative error low rank approximation of $tensors$ with respect to the Frobenius norm: given an order-$q$ tensor $A \in \mathbb{R}^{\prod_{i=1}^q n_i}$, output a rank-$k$ tensor $B$ for which $\|A-B\|_F^2 \leq (1+ )$OPT, where OPT $= \inf_{\textrm{rank-}k~A'} \|A-A'\|_F^2$.
Song, Zhao +2 more
semanticscholar +5 more sources
Relative Tutte polynomials of tensor products of colored graphs [PDF]
The tensor product $(G_1,G_2)$ of a graph $G_1$ and a pointed graph $G_2$ (containing one distinguished edge) is obtained by identifying each edge of $G_1$ with the distinguished edge of a separate copy of $G_2$, and then removing the identified edges. A
Brylawski, Chmutov, G. HETYEI, Y. DIAO
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Nonconvex Tensor Relative Total Variation for Image Completion [PDF]
Image completion, which falls to a special type of inverse problems, is an important but challenging task. The difficulties lie in that (i) the datasets usually appear to be multi-dimensional; (ii) the unavailable or corrupted data entries are randomly ...
Yunqing Bai, Jihong Pei, Min Li
doaj +2 more sources
Remarks on the relative tensor degree of finite groups [PDF]
The present paper is a note on the relative tensor degree of finite groups. This notion generalizes the tensor degree, introduced recently in literature, and allows us to adapt the concept of relative commutativity degree through the notion of ...
Ahmad M. Alghamdi, Francesco G. Russo
openalex +3 more sources
Relative tensor products for modules over von Neumann algebras [PDF]
We give an overview of relative tensor products (RTPs) for von Neumann algebra modules. For background, we start with the categorical definition and go on to examine its algebraic formulation, which is applied to Morita equivalence and index.
Sherman, David
core +3 more sources
Geometric decomposition of the conformation tensor in viscoelastic turbulence [PDF]
This work introduces a mathematical approach to analysing the polymer dynamics in turbulent viscoelastic flows that uses a new geometric decomposition of the conformation tensor, along with associated scalar measures of the polymer fluctuations.
Gayme, Dennice F. +3 more
core +2 more sources
The relative abundance of small earthquakes affords significant opportunities for improved understanding of regional seismotectonics; however, determining moment tensors for such events recorded on regional networks is complicated by low signal-to-noise
Doriane Drolet +2 more
doaj +2 more sources
A relative tensor product of subfactors over a modular tensor category [PDF]
We define and study a certain relative tensor product of subfactors over a modular tensor category. This gives a relative tensor product of two completely rational heterotic full local conformal nets with trivial superselection structures over a common chiral representation category.
Yasuyuki Kawahigashi
openaire +3 more sources
Extensions of relative tensors [PDF]
Oswald Veblen, Tracy Yerkes Thomas
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Background: The most common primary tumors of the brain are gliomas. Despite improvements in treatment strategy, the prognosis for patients with high-grade gliomas has stayed poor, while it is relatively good for low-grade gliomas.
Fariba Davnian +3 more
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