[PDF][PDF] Graph kernels

SVN Vishwanathan, NN Schraudolph, R Kondor… - The Journal of Machine …, 2010 - jmlr.org
We present a unified framework to study graph kernels, special cases of which include the
random walk (Gärtner et al., 2003; Borgwardt et al., 2005) and marginalized (Kashima et al …

[HTML][HTML] The ubiquitous Kronecker product

CF Van Loan - Journal of computational and applied mathematics, 2000 - Elsevier
The Kronecker product has a rich and very pleasing algebra that supports a wide range of
fast, elegant, and practical algorithms. Several trends in scientific computing suggest that …

[HTML][HTML] A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis

Y Voet, E Sande, A Buffa - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Explicit time integration schemes coupled with Galerkin discretizations of time-dependent
partial differential equations require solving a linear system with the mass matrix at each …

Tensor modelling of MIMO communication systems with performance analysis and Kronecker receivers

MN da Costa, G Favier, JMT Romano - Signal Processing, 2018 - Elsevier
The purpose of this paper is manifold. In a first part, we present a new alternating least
squares (ALS)-based method for estimating the matrix factors of a Kronecker product, the so …

Kronecker product and SVD approximations in image restoration

J Kamm, JG Nagy - Linear algebra and its applications, 1998 - Elsevier
Image restoration applications often result in ill-posed least squares problems involving
large, structured matrices. One approach used extensively is to restore the image in the …

[PDF][PDF] A third-order generalization of the matrix svd as a product of third-order tensors

ME Kilmer, CD Martin, L Perrone - … Science, Tech. Rep. TR-2008-4, 2008 - academia.edu
Traditionally, extending the Singular Value Decomposition (SVD) to third-order tensors
(multiway arrays) has involved a representation using the outer product of vectors. These …

Quantum separability criteria based on realignment moments

T Zhang, N Jing, SM Fei - Quantum Information Processing, 2022 - Springer
Quantum entanglement is the core resource in quantum information processing and
quantum computing. It is a significant challenge to effectively characterize the entanglement …

Semi-blind joint channel and symbol estimation in IRS-assisted multiuser MIMO networks

GT de Araújo, PRB Gomes… - IEEE Wireless …, 2022 - ieeexplore.ieee.org
Intelligent reflecting surface (IRS) is a promising technology for beyond of the wireless
communications. In fully passive IRS-assisted systems, channel estimation is challenging …

Optimal Kronecker product approximation of block Toeplitz matrices

J Kamm, JG Nagy - SIAM Journal on Matrix Analysis and Applications, 2000 - SIAM
This paper considers the problem of finding n× n matrices Ak and Bk that minimize ||T-
∑A_k⊗B_k||_F, where ⊗ denotes Kronecker product and T is a banded n× n block Toeplitz …

Graph kernels

SVN Vishwanathan, KM Borgwardt, IR Kondor… - arXiv preprint arXiv …, 2008 - arxiv.org
We present a unified framework to study graph kernels, special cases of which include the
random walk graph kernel\citep {GaeFlaWro03, BorOngSchVisetal05}, marginalized graph …