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Semi-tensor product-based one-bit compressed sensing
The area of one-bit compressed sensing (1-bit CS) focuses on the recovery of sparse signals from binary measurements. Over the past decade, this field has witnessed the emergence of well-developed theories.
Jingyao Hou, Xinling Liu
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Resolution of Fuzzy Relational Inequalities with Boolean Semi-Tensor Product Composition
Resolution of fuzzy relational inequalities (FRIs) plays a significant role in decision-making, image compression and fuzzy control. This paper studies the resolution of a kind of FRIs with Boolean semi-tensor product composition.
Shuling Wang, Haitao Li
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Semi-Tensor Product of Hypermatrices with Application to Compound Hypermatrices [PDF]
The semi-tensor product (STP) of matrices is extended to the STP of hypermatrices. Some basic properties of the STP of matrices are extended to the STP of hypermatrices. The hyperdeterminant of hypersquares is introduced.
D. Cheng, Xiao Zhang, Zheng-Ping Ji
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Construction of Structured Random Measurement Matrices in Semi-Tensor Product Compressed Sensing Based on Combinatorial Designs [PDF]
A random matrix needs large storage space and is difficult to be implemented in hardware, and a deterministic matrix has large reconstruction error. Aiming at these shortcomings, the objective of this paper is to find an effective method to balance these
Junying Liang +3 more
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Semi-Conformally Flat Singly Warped Product Manifolds and Applications [PDF]
This paper investigates singly warped product manifolds admitting semi-conformal curvature tensors. The form of the Riemann tensor and Ricci tensor of the base and fiber manifolds of a semi-conformally flat singly warped product manifold are provided. It
Samesh Shenawy +4 more
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A tensor SVD-like decomposition based on the semi-tensor product of tensors [PDF]
In this paper, we define a semi-tensor product for third-order tensors. Based on this definition, we present a new type of tensor decomposition strategy and give the specific algorithm.
Zhuobin Chen, Seakweng Vong, Ze-Jia Xie
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Summary As regulatory networks that simulate and establish gene interactions, Boolean networks (BNs) exhibit significant delays in state updates or trajectory tracking due to environmental factors in practical applications.
Tiantian Mu, Jun‐e Feng
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Set Stability and Set Stabilization of Boolean Control Networks Avoiding Undesirable Set
The traditional set stability of Boolean networks (BNs) refers to whether all the states can converge to a given state subset. Different from the existing results, the set stability investigated in this paper is whether all states in a given initial set ...
Wen Liu, Shihua Fu, Jianli Zhao
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Robust Output Tracking of Boolean Control Networks over Finite Time
With an increase in tracking time, the operating cost of the controller will increase accordingly. Considering the biological applications of Boolean control networks (BCNs), it is necessary to study the control problem of BCNs over finite time.
Yuan Zhao +3 more
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Diagnosability of composite automata based on semi-tensor product
Fault diagnosis is an important issue of partially observed discrete event systems (DESs). In this problem, fault detection and isolation are two associated tasks, where a fault is diagnosable if it can be detected certainly with a finite delay ...
Zengqiang Chen +3 more
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