Results 31 to 40 of about 4,801,130 (303)
Residual matrix product state for machine learning
SciPost Physics, 2023 Tensor network, which originates from quantum physics, is emerging as an efficient tool for classical and quantum machine learning. Nevertheless, there still exists a considerable accuracy gap between tensor network and the sophisticated neural network ...
Ye-Ming Meng, Jing Zhang, Peng Zhang, Chao Gao, Shi-Ju Ran
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Structured matrix recovery from matrix‐vector products
Numerical Linear Algebra with Applications, 2023 AbstractCan one recover a matrix efficiently from only matrix‐vector products? If so, how many are needed? This article describes algorithms to recover matrices with known structures, such as tridiagonal, Toeplitz, Toeplitz‐like, and hierarchical low‐rank, from matrix‐vector products.
Diana Halikias, Alex Townsend
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matrix-toolbox/CHM_scripts: Sinkhorn Algorithm
, 2023 Several CHM matrices (M-scripts) obtained by the Sinkhorn Algorithm are ...
matrix-toolbox
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The Forward Order Law for Least Squareg-Inverse of Multiple Matrix Products
Mathematics, 2019 The generalized inverse has many important applications in the aspects of the theoretic research of matrices and statistics. One of the core problems of the generalized inverse is finding the necessary and sufficient conditions of the forward order laws ...
Zhiping Xiong, Zhongshan Liu
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Commuting decomposition of Kn1,n2,...,nk through realization of the product A(G)A(GPk )
Special Matrices, 2018 In this paper, we introduce the notion of perfect matching property for a k-partition of vertex set of given graph. We consider nontrivial graphs G and GPk , the k-complement of graph G with respect to a kpartition of V(G), to prove that A(G)A(GPk ) is ...
Bhat K. Arathi, Sudhakara G.
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Machine Learning Matrix Product State Ansatz for strongly correlated systems [PDF]
, 2022 Machine learning (ML) has been used to optimize the matrix product state (MPS) ansatz for wavefunction of strongly correlated systems. The ML optimization of MPS has been tested for Heisenberg Hamiltonian on one-dimensional and ladder lattices which ...
Debashree, Ghosh, Sumanta K., Ghosh
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Testing matrix product states [PDF]
, 2022 Devising schemes for testing the amount of entanglement in quantum systems has played a crucial role in quantum computing and information theory. Here, we study the problem of testing whether an unknown state $|\psi\rangle$ is a matrix product state (MPS) in the property testing model.
Mehdi Soleimanifar, John Wright 0004
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AN ORDER-P TENSOR MULTIPLICATION WITH CIRCULANT STRUCTURE
Barekeng, 2023 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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Quantum Error Mitigation via Matrix Product Operators
PRX Quantum, 2022 In the era of noisy intermediate-scale quantum devices, the number of controllable hardware qubits is insufficient to implement quantum error correction.
Yuchen Guo, Shuo Yang
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