Results 51 to 60 of about 2,339 (216)
Real block-circulant matrices and DCT-DST algorithm for transformer neural network
Frontiers in Applied Mathematics and Statistics, 2023 In the encoding and decoding process of transformer neural networks, a weight matrix-vector multiplication occurs in each multihead attention and feed forward sublayer.
Euis Asriani +4 more
doaj +1 more source
Abstract and Applied Analysis, 2014 Circulant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial.
Tingting Xu, Zhaolin Jiang, Ziwu Jiang
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Invertibility and Explicit Inverses of Circulant-Type Matrices with k-Fibonacci and k-Lucas Numbers
Abstract and Applied Analysis, 2014 Circulant matrices have important applications in solving ordinary differential equations. In this paper, we consider circulant-type matrices with the k-Fibonacci and k-Lucas numbers.
Zhaolin Jiang, Yanpeng Gong, Yun Gao
doaj +1 more source
Computational study of permeability in cardboard coating layers
AIChE Journal, Volume 72, Issue 7, July 2026.Abstract We develop a virtual material structure model based on a combination of tessellations and Gaussian random fields for a coating layer of paperboard used for packaging and designed to facilitate printing on the surface. To fit the model to tomographic image data acquired using combined focused ion beam and scanning electron microscopy (FIB‐SEM),
Sandra Barman +6 more
wiley +1 more source
Interpolation with circular basis functions
, 2006 In this paper we consider basis function methods for solving the problem of interpolating data over distinct points on the unit circle. In the special case where the points are equally spaced we can appeal to the theory of circulant matrices which ...
Hubbert, Simon, Muller, S.
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A Preconditioned Majorization‐Minimization Method for ℓ2$$ {\ell}^2 $$‐ℓq$$ {\ell}^q $$ Minimization
Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT The need to minimize a linear combination of an expression that involves an ℓq$$ {\ell}^q $$‐norm of a linear transformation of the computed solution and the ℓ2$$ {\ell}^2 $$‐norm of the residual error arises in image restoration as well as in statistics.
A. Buccini +3 more
wiley +1 more source
Circulant matrices on global data analysis [PDF]
, 2017 In this thesis, we investigate the unbiasedness of the commonly used covariance and variogram estimators when the underlying process is assumed to be stationary on the circle or axially symmetric on the sphere. We represent both estimators as a quadratic
Adaramola, Bukola O. +1 more
core
International Journal of Cancer, Volume 158, Issue 10, Page 2771-2783, 15 May 2026.What's New? Circulating nuclear DNA (cir‐nDNA)‐based assessment of minimal residual disease (MRD) offers powerful post‐surgery prognostic insight for stage III colon cancer (CC). Sparse knowledge of post‐surgical variations and origins in cir‐nDNA, however, has limited its clinical application.
Andrei Kudriavtsev +17 more
wiley +1 more source
β3‐adrenoceptor agonism exerts lung protection in a rat model of bronchopulmonary dysplasia
British Journal of Pharmacology, Volume 183, Issue 10, Page 2497-2517, May 2026.The β3‐adrenoceptors agonist BRL37344 promotes lung maturation, preventing the progression of experimental bronchopulmonary dysplasia. Absract Background and Purpose Bronchopulmonary dysplasia (BPD) affects premature newborns, particularly those receiving supplemental oxygen therapy.
Alessandro Pini +14 more
wiley +1 more source
Heuristic algorithms for Hadamard matrices with two circulant cores
, 2008 We design heuristic algorithms to construct Hadamard matrices with two circulant cores. This hard combinatorial problem can be formulated in terms of objective functions of several binary variables, so that heuristic methodologies can be used.
Paquete, L. +15 more
core +1 more source