text>The Kronecker product of two Schur functions s(lambda) and s(mu), denoted s(lambda) * s(mu), is defined as the Frobenius characteristic of the tensor product of the irreducible representations of the symmetric group indexed by partitions of n, lambda and mu, respectively. The ...
This paper studies the properties of the Kronecker product related to the mixed matrix products, the vector operator, and the vec-permutation matrix and gives several theorems and their proofs. In addition, we establish the relations between the singular values of two matrices and their Kronecker ...
Therefore, the efficiency and scalability of traditional spectral clustering methods can not be guaranteed for large scale datasets. In this paper, we propose a subspace clustering model based on the Kronecker product. Due to the property that the Kronecker product of a block diagonal matrix with ...
On the history of the kronecker product 来自 掌桥科研 喜欢 0 阅读量: 41 作者: Jemderson, Harold V.,Pukelsheim, Friedrich,Searle, Shayle R.摘要: History reveals that what is today called the Kronecker product should be called the Zehfuss product.关键词:...
摘要: We obtain the matrix representation of a three-spin Hamiltonian by straightforward application of the Kronecker product. The starting point are the Pauli matrices for spin-1/2 and it is not necessary...关键词: Kronecker product Spin systems Nuclear magnetic resonance ...
Arora S, Cohen N, Hazan E, et al. On the Optimization of Deep Networks: Implicit Acceleration by Overparameterization[J]. arXiv: Learning, 2018. 引 我很喜欢这一篇文章,因为证明用到的知识并不难,但是却用的很巧,数学真是太牛了,这些人的嗅觉怎么这么好呢?
On the Optimization of Deep Networks: Implicit Acceleration by Overparameterization 目录 引主要内容 定理1 Claim 1 Claim 2 定理2 证明 定理1的证明 Claim 1 的证明 Kronecker product (克罗内克积) (A1⊙A2)(B1⊙B2)=(A1B1)⊙(A2B2)(A1⊙A2)(B1⊙B2)=(A1B1)⊙(A2B2) (A⊙B)T=AT⊙BT(A⊙B)...
The composite perturbation matrix P is the Kronecker product of all attributes’ perturbation matrices. The reconstructed statistics xˆ=yP−1 is an unbias estimator of x. For a query q of the form ⋀(t[i]=q[i]), the f(q)th element of xˆ is returned as an unbiased estimator ...
two square matrices A A A and B B B as A\oslash B=A\otimes \J+\J\otimes B $A\oslash B=A\otimes \J+\J\otimes B$ A\oslash B=A\otimes \J+\J\otimes B , where \J $\J$ \J is the all one matrix of appropriate order and \otimes \otimes is the Kronecker product. ...
In this article we examine the adjacency and Laplacian matrices and their eigenvalues and energies of the general product (non-complete extended p-sum, or NEPS) of signed graphs. We express the adjacency matrix of the product in terms of the Kronecker matrix product and the eigenvalues and ener...