| [應用數學系] 專書/專書篇章 |
2019-02 |
Measures of the full Hausdorff dimension for sofic affine-invariant sets on T^2 |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung; Chen, Ting-Ju |
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| [應用數學系] 專書/專書篇章 |
2014-11 |
Tracking Mean Field Dynamics by Synchronous Computations of Recurrent Multilayer Perceptrons |
班榮超; Ban, Jung-Chao; Wu, Jiann-Ming; Wu, Chun-Chang |
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| [應用數學系] 專書/專書篇章 |
2013-01 |
On the Structure of Two-Layer Cellular Neural Networks |
班榮超; Ban, Jung-Chao; Lin, Song-Sun |
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| [應用數學系] 會議論文 |
2011-04 |
Complexity of two dimensional multi-layer cellular neural networks |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung; Hu, Wen-Guei; Lin, Song-Sun |
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| [應用數學系] 期刊論文 |
2020-06 |
Characterization for entropy of shifts of finite type on Cayley trees |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2020-06 |
Entropy Dimension of Shift Spaces on Monoids |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung; Huang, Nai-Zhu |
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| [應用數學系] 期刊論文 |
2020-06 |
Entropy Dimension of Shifts of Finite Type on Free Groups |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2020-04 |
Complexity of Shift Spaces on Semigroups |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung; Huang, Yu-Hsiung |
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| [應用數學系] 期刊論文 |
2019-10 |
Decidability of Irreducible tree shifts of finite type |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung; Huang, Nai-Zhu; Wu, Yu-Liang |
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| [應用數學系] 期刊論文 |
2019-06 |
Entropy bifurcation of neural networks on Cayley trees |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung; Huang, Nai-Zhu |
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| [應用數學系] 期刊論文 |
2019-05 |
Complexity of neural networks on Fibonacci-Cayley tree |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2019-05 |
Pattern generation problems arising in multiplicative integer systems |
班榮超; Ban, Jung-Chao; Hu, Wen-Guei; Lin, Song-Sun |
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| [應用數學系] 期刊論文 |
2018-05 |
Measure of the full Hausdorff dimension for sofic affine-invariant sets on T^2 |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung; Chen, Ting-Ju |
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| [應用數學系] 期刊論文 |
2017-11 |
Mixing properties of tree-shifts |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2017-06 |
Tree-shifts: The entropy of tree-shifts of finite type |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2017-06 |
簡單通往複雜之路 |
班榮超; Ban, Jung-Chao |
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| [應用數學系] 期刊論文 |
2017-05 |
Tree-shifts: Irreducibility, mixing, and the chaos of tree-shifts |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2016-07 |
When are two multi-layer cellular neural networks the same? |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2016-06 |
淺談動力系統中的禍福相倚 |
班榮超; Ban, Jung-Chao |
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| [應用數學系] 期刊論文 |
2016-03 |
Solution Structure of Multi-layer Neural Networks with Initial Condition |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2016-02 |
The spatial complexity of inhomogeneous multi-layer neural networks |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2015-08 |
Neural network equations and symbolic dynamics |
班榮超; Ban, Jung-Chao |
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| [應用數學系] 期刊論文 |
2015-07 |
On the structure of multi-layer cellular neural networks: complexity between two layers |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2015-01 |
Realization problem of multi-layer cellular neural networks |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2014-12 |
The multifractal spectra for the recurrence rates of beta-transformations |
班榮超; Ban, Jung-Chao; Li, Bing |
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| [應用數學系] 期刊論文 |
2014-05 |
Dimension spectrum for sofic systems |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung; Lin, Mei-Shao; Chen, Ting-Ju |
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| [應用數學系] 期刊論文 |
2013-12 |
Inhomogeneous lattice dynamical systems and the boundary effect |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2013-11 |
Hausdorff Dimension of Multi-Layer Neural Networks |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2013-07 |
The layer effect on multi-layer cellular neural networks |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2013-01 |
Diamond in multi-layer cellular neural networks |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2013-01 |
On the Quantitative Behavior of the Linear Cellular Automata. |
班榮超; Ban, Jung-Chao; Akin, Hassan; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2013-01 |
The learning problem of multi-layer neural networks |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2013-01 |
Zeta functions for two-dimensional shifts of finite type |
班榮超; Ban, Jung-Chao; Hu, Wen-Guei; Lin, Song-Sun; Lin, Yin-Heng |
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| [應用數學系] 期刊論文 |
2012-04 |
On the structure of multi-layer cellular neural networks |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung; Lin, Song-Sun |
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| [應用數學系] 期刊論文 |
2011-05 |
Factor map, diamond and density of pressure functions |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2011-01 |
The Complexity of Permutive Cellular Automata |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung; Chen, Ting-Ju; Lin, Mei-Shao |
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| [應用數學系] 期刊論文 |
2010-03 |
Zeta function for two-dimensional subshift of finite type |
班榮超; Ban, Jung-Chao; Hu, Wen-Guei; Lin, Song-Sun; Lin, Yin-Heng |
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| [應用數學系] 期刊論文 |
2010-01 |
The dimensions of a non-conformal repeller and an average conformal repeller |
班榮超; Ban, Jung-Chao; Cao, Yong-Luo; Hu, Hu-Yi |
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| [應用數學系] 期刊論文 |
2009-11 |
On the monotonicity of entropy for multilayer cellular neural networks |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2009-09 |
Mixing property and entropy conjugacy of Z2 subshift of finite type: a case study |
班榮超; Ban, Jung-Chao; Lin, Szu-Yu; Lin, Yin-Heng |
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| [應用數學系] 期刊論文 |
2009-09 |
The Hausdorff dimension of average conformal repellers under random perturbation |
班榮超; Ban, Jung-Chao; Cao, Yong-Luo; Zhao, Yun |
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| [應用數學系] 期刊論文 |
2009-06 |
Pullback and forward attractors for dissipative lattice dynamical systems with additive noises |
班榮超; Ban, Jung-Chao; Hsu, Cheng-Hsiung; Lin, Yin-Heng; Yang, Tzi-Sheng |
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| [應用數學系] 期刊論文 |
2009-05 |
The topological pressure of linear cellular automata |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2009-01 |
Spatial complexity in multi-layer cellular neural networks |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung; Lin, Song-Sun; Lin, Yin-Heng |
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| [應用數學系] 期刊論文 |
2008-11 |
On the dense entropy of two-dimensional inhomogeneous cellular neural networks |
班榮超; Ban, Jung-Chao; Chang, Chih-Hung |
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| [應用數學系] 期刊論文 |
2007-09 |
Patterns generation and spatial entropy in two-dimensional lattice models |
班榮超; Ban, Jung-Chao; Lin, Song-Sun; Lin, Yin-Heng |
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| [應用數學系] 期刊論文 |
2005-08 |
Patterns generation and transition matrices in multi-dimensional lattice models |
班榮超; Ban, Jung-Chao; Lin, Song-Sun |
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| [應用數學系] 期刊論文 |
2004-07 |
The devil’s staircase dimensions and measure-theoretical entropy of maps with horizontal gap |
班榮超; Ban, Jung-Chao; Lin, Song-Sun |
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| [應用數學系] 期刊論文 |
2003-01 |
Devil's staircase of gap maps |
班榮超; Ban, Jung-Chao; Hsu, Cheng-Hsiung; Lin, Song-Sun |
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| [應用數學系] 期刊論文 |
2002-03 |
Spatial disorder of cellular neural networks—with biased term |
班榮超; Ban, Jung-Chao; Lin, Song-Sun; Hsu, Cheng-Hsiung |
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| [應用數學系] 期刊論文 |
2001-08 |
Spatial disorder of CNN—with asymmetric output function |
班榮超; Ban, Jung-Chao; Chien, Kai-Ping; Lin, Song-Sun; Hsu, Cheng-Hsiung |
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| [應用數學系] 期刊論文 |
2001-06 |
Exact number of mosaic patterns in cellular neural networks |
班榮超; Ban, Jung-Chao; Lin, Song-Sun; Shih, Chih-Wen |
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