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Matrix product state representations [PDF]

open access: yesQuantum Information and Computation, 2007
This work gives a detailed investigation of matrix product state (MPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide efficient methods for obtaining them. Results on frustration free Hamiltonians and the generation of
Perez-Garcia, D   +3 more
openaire   +7 more sources

The Cyclic Decomposition of cf(Q_28×C_p)/ R ̅(Q_28×C_p)

open access: yesJournal of Kufa for Mathematics and Computer, 2022
In this paper, we propose the cyclic decomposition of the factor group cf(Q_28×C_p),Z)/R ̅(Q_28×C_p ), and the group cf(Q_28×C_p ) is Z-valued class functions of the direct product group (Q_28×C_p ) under the operation of addition, and R(Q_28×C_p )is ...
Naseer Albakaa   +2 more
doaj   +1 more source

Memory capacity of recurrent neural networks with matrix representation

open access: yes, 2023
It is well known that canonical recurrent neural networks (RNNs) face limitations in learning long-term dependencies, which have been addressed by memory structures in long short-term memory (LSTM) networks. Neural Turing machines (NTMs) are a variant of
Animesh Renanse   +5 more
core   +1 more source

A Unifying Framework for Analysis of Spatial-Temporal Event Sequence Similarity and Its Applications

open access: yesISPRS International Journal of Geo-Information, 2021
Measures of similarity or differences between data objects are applied frequently in geography, biology, computer science, linguistics, logic, business analytics, and statistics, among other fields.
Fuyu Xu, Kate Beard
doaj   +1 more source

Generation matrix: An embeddable matrix representation for hierarchical trees

open access: yesTheoretical Computer Science, 2023
Starting from the local structures to study hierarchical trees is a common research method. However, the cumbersome analysis and description make the naive method challenging to adapt to the increasingly complex hierarchical tree problems. To improve the efficiency of hierarchical tree research, we propose an embeddable matrix representation for ...
Jianping Cai   +3 more
openaire   +3 more sources

A graph-based approach for detection degenerate structures in multi-planet gear trains

open access: yesCogent Engineering, 2022
A locked chain is an immovable sub-chain within a kinematic chain. The detection of immovable sub-chains is a critical step in the structural synthesis of planetary gear trains (PGTs).
Tamather N. Ali   +2 more
doaj   +1 more source

The Cyclic Decomposition of cf(Q2q×C10)/ R ̅ (Q29×C10)

open access: yesJournal of Kufa for Mathematics and Computer, 2022
In this paper, we propose the cyclic decomposition of the factor group cf(Q2q×C10)‚Z)/R ̅(Q2q×C10 ), and the group cf(Q2q×C10‚Z) is Z-valued class functions of the direct product group ((Q14×C10)) under the operation of addition, and R((Q14×C10)) is the
Naseer Albakaa   +2 more
doaj   +1 more source

Multiple Graph Adaptive Regularized Semi-Supervised Nonnegative Matrix Factorization with Sparse Constraint for Data Representation

open access: yes, 2022
Multiple graph and semi-supervision techniques have been successfully introduced into the nonnegative matrix factorization (NMF) model for taking full advantage of the manifold structure and priori information of data to capture excellent low-dimensional
Yi Wang   +11 more
core   +1 more source

Triangular Matrix Representations

open access: yesJournal of Algebra, 2000
A ring \(R\) is said to have a GTMR (reviewer's abbreviation for ``generalised triangular matrix representation'') if there is a positive integer \(n\) such that \(R\) is isomorphic to the ring of all \(n\times n\) upper triangular matrices with \(i\)-th diagonal entry in some ring \(R_i\) and with above-diagonal \((i,j)\)-entry in an \(R_i\)-\(R_j ...
Birkenmeier, Gary F.   +3 more
openaire   +1 more source

Estimates for matrix coefficients of representations

open access: yesAmerican Journal of Mathematics, 2022
20 ...
Bruno, T   +3 more
openaire   +4 more sources

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