Sparse General Non-Negative Matrix Factorization Based on Left Semi-Tensor Product [PDF]
IEEE Access, 2019 The dimension reduction of large scale high-dimensional data is a challenging task, especially the dimension reduction of face data and the accuracy increment of face recognition in the large scale face recognition system, which may cause large storage ...
Zigang Chen +5 more
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A Semi-Tensor Product based Circuit Simulation for SAT-sweeping [PDF]
2024 Design, Automation & Test in Europe Conference & Exhibition (DATE), 2023 In this 6 page manuscript, we introduce a novel Semi-Tensor Product based circuit simulation for SAT-sweeping in DATE ...
Hongyang Pan +6 more
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Resolution of Fuzzy Relational Inequalities with Boolean Semi-Tensor Product Composition
Mathematics, 2021 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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A dimension-keeping semi-tensor product framework for compressed sensing [PDF]
Science China Information SciencesIn compressed sensing (CS), sparse signals can be reconstructed from significantly fewer samples than required by the Nyquist-Shannon sampling theorem. While non-sparse signals can be sparsely represented in appropriate transformation domains, conventional CS frameworks rely on the incoherence of the measurement matrix columns to guarantee ...
Qi Qi +3 more
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On the Semi-Tensor Product of the Dyer-Lashof and Steenrod Algebras [PDF]
Canadian Journal of Mathematics, 1989 This paper arises out of joint work with F. R. Cohen and F. P. Peterson [5, 2, 3] on the joint structure of infinite loop spaces QX. The homology of such a space is operated on by both the Dyer-Lashof algebra, R, and the opposite of the Steenrod algebra A∗.
H. E. A. Campbell, Paul Selick
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Design for vegetable waste fermentation control systems based on semi-tensor product fuzzy controller [PDF]
Advances in Mechanical Engineering, 2018 A multivariable fuzzy controller was designed to solve the control problem of vegetable waste fermentation. The knowledge-based fuzzy reasoning was constructed according to the sample data from both the fermentation process and the rule of temperature ...
Zuoxun Wang, Guijuan Wang, Rongwei Guo
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Topologies on Quotient Space of Matrices via Semi-tensor Product [PDF]
Asian Journal of Control, 2018 AbstractAn equivalence of matrices via semi‐tensor product (STP) is proposed. Using this equivalence, the quotient space is obtained. Parallel and sequential arrangements of the natural projection on different shapes of matrices lead to the product topology and quotient topology respectively. Then the Frobenious inner product of matrices is extended to
Daizhan Cheng, Zequn Liu
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Perfect hypercomplex algebras: Semi-tensor product approach
Mathematical Modelling and Control, 2021 <abstract><p>The set of associative and commutative hypercomplex numbers, called the perfect hypercomplex algebras (PHAs) is investigated. Necessary and sufficient conditions for an algebra to be a PHA via semi-tensor product (STP) of matrices are reviewed.
Daizhan Cheng +4 more
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Cross-dimensional mathematics: A foundation for the semi-tensor product/semi-tensor addition [PDF]
Science China MathematicsDaizhan Cheng
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Set Stability and Set Stabilization of Boolean Control Networks Avoiding Undesirable Set
Mathematics, 2021 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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