Non-rigid registration of medical images based on S 2 1 Δ mn 2 $$ {S}_2^1\left({\Delta}_{mn}^{(2)}\right) $$ non-tensor product B-spline [PDF]
In this study, a non-tensor product B-spline algorithm is applied to the search space of the registration process, and a new method of image non-rigid registration is proposed.
Qi Zheng, Chaoyue Liu, Jincai Chang
doaj +2 more sources
MIONet: Learning multiple-input operators via tensor product [PDF]
As an emerging paradigm in scientific machine learning, neural operators aim to learn operators, via neural networks, that map between infinite-dimensional function spaces. Several neural operators have been recently developed.
Pengzhan Jin, Shuai Meng, Lu Lu
semanticscholar +1 more source
Dynamic Tensor Product Regression [PDF]
In this work, we initiate the study of \emph{Dynamic Tensor Product Regression}. One has matrices $A_1\in \mathbb{R}^{n_1\times d_1},\ldots,A_q\in \mathbb{R}^{n_q\times d_q}$ and a label vector $b\in \mathbb{R}^{n_1\ldots n_q}$, and the goal is to solve ...
Aravind Reddy, Zhao Song, Licheng Zhang
semanticscholar +1 more source
Introduction of Frame in Tensor Product of $n$-Hilbert Spaces [PDF]
We study the concept of frame in tensor product of $n$-Hilbert spaces as tensor product of $n$-Hilbert spaces is again an $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space.
Prasenjit Ghosh, Tapas Samanta
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Tensor Product of Neutrosophic sub modules of an R-module [PDF]
In this paper, we develop a framework for tensor product with imprecise and indeterminate bounds as a neutrosophic submodule of an R-modules. The fundamental goal of this study is to extend the conventional tensor product in contemporary algebra to the ...
Binu R, Ursala Paul
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Set Stability and Set Stabilization of Boolean Control Networks Avoiding Undesirable Set
The traditional set stability of Boolean networks (BNs) refers to whether all the states can converge to a given state subset. Different from the existing results, the set stability investigated in this paper is whether all states in a given initial set ...
Wen Liu, Shihua Fu, Jianli Zhao
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Robust Output Tracking of Boolean Control Networks over Finite Time
With an increase in tracking time, the operating cost of the controller will increase accordingly. Considering the biological applications of Boolean control networks (BCNs), it is necessary to study the control problem of BCNs over finite time.
Yuan Zhao +3 more
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Resolution of Fuzzy Relational Inequalities with Boolean Semi-Tensor Product Composition
Resolution of fuzzy relational inequalities (FRIs) plays a significant role in decision-making, image compression and fuzzy control. This paper studies the resolution of a kind of FRIs with Boolean semi-tensor product composition.
Shuling Wang, Haitao Li
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Frame-indifference of cross products, rotations, and the permutation tensor
: Under improper transformations, the traditional transformation laws for cross products, the permutation tensor, and rotations are incorrect. For a cross product, using a counter-example the left-hand rule is proved wrong.
Maolin Du
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AN ORDER-P TENSOR MULTIPLICATION WITH CIRCULANT STRUCTURE
Research on mathematical operations involving multidimensional arrays or tensors has increased along with the growing applications involving multidimensional data analysis. The -product of order- tensor is one of tensor multiplications.
Itsar Mangngiri +2 more
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