Results 21 to 30 of about 221,321 (318)
We analyze tensors in the tensor product of three m-dimensional vector spaces satisfying Strassen's equations for border rank m. Results include: two purely geometric characterizations of the Coppersmith-Winograd tensor, a reduction to the study of symmetric tensors under a mild genericity hypothesis, and numerous additional equations and examples ...
Landsberg, J. M., Michałek, Mateusz
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Recently, the joint estimation for time delay (TD) and direction of arrival (DOA) has suffered from the high complexity of processing multi-dimensional signal models and the ineffectiveness of correlated/coherent signals.
Jinzhi Du +4 more
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Symmetric Tensors and Symmetric Tensor Rank [PDF]
To appear in the SIAM Journal on Matrix Analysis and ...
Comon, Pierre +3 more
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Tensor Algebras in Finite Tensor Categories [PDF]
Abstract This paper introduces methods for classifying actions of finite-dimensional Hopf algebras on path algebras of quivers and more generally on tensor algebras $T_B(V)$ where $B$ is semisimple. We work within the broader framework of finite (multi-)tensor categories $\mathcal{C}$, classifying tensor algebras in $\mathcal{C}$ in ...
Etingof, Pavel +2 more
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Long-Term Recording of LTP in Cultured Hippocampal Slices
Long-term potentiation (LTP) was elicited by high frequency stimulation in hippocampal slices cultured on multi-electrode arrays. LTP lasting more than 1 h was recorded in 75% of slices, and a significant number of slices exhibited a non-decaying LTP ...
Ken Shimono +4 more
doaj +1 more source
Hyperspectral Image Dimension Reduction Using Weight Modified Tensor-Patch-Based Methods
Dimension reduction (DR) addresses the problem known as the curse of dimensionality in myriad hyperspectral imagery applications. Although the spatial pattern may assist in the distinction between different land covers that have close spectral signatures,
Boyu Feng, Jinfei Wang
doaj +1 more source
$SDD_1$ tensors and $B_1$-tensors
Strong $\mathcal{H}$-tensors play an important role in the fields of science and engineering. In this paper, we first propose a new subclass of strong $\mathcal{H}$-tensors that we call the class of $SDD_1$ tensors. We also prove that if a tensor is an $SDD_1$ tensor, it is a strong $\mathcal{H}$-tensor. As an application, a sufficient condition for an
Weiting Duan, Dekun Wen, Yaqiang Wang
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Vector‐Tensor Multiplets [PDF]
We review the coupling of N=2 supergravity to vector-tensor multiplets, based on the method of superconformal multiplet calculus.
P. Claus +6 more
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Reciprocal control of viral infection and phosphoinositide dynamics
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source
Time after time – circadian clocks through the lens of oscillator theory
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source

