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| − | === 1. 分子构象动力学:把大量分子形状合并成少数稳定形状 === | + | === 分子构象动力学:把大量分子形状合并成少数稳定形状 === |
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| | 代表文献: Kube & Weber, 2007, *A coarse graining method for the identification of transition rates between molecular conformations*。 | | 代表文献: Kube & Weber, 2007, *A coarse graining method for the identification of transition rates between molecular conformations*。 |
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| − | === 3. 生化反应网络:把复杂的分子组合合并成可计算的状态 === | + | === 生化反应网络:把复杂的分子组合合并成可计算的状态 === |
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| | 代表文献:Ganguly, Petrov & Koeppl, 2014, *Markov chain aggregation and its applications to combinatorial reaction networks*;Petrov, 2019, *Markov chain aggregation and its application to rule-based modelling*。 | | 代表文献:Ganguly, Petrov & Koeppl, 2014, *Markov chain aggregation and its applications to combinatorial reaction networks*;Petrov, 2019, *Markov chain aggregation and its application to rule-based modelling*。 |
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| − | === 4. 化学反应网络长期行为:把分子数状态合并成“能自我维持的物种集合”=== | + | === 化学反应网络长期行为:把分子数状态合并成“能自我维持的物种集合”=== |
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| | 代表文献:Mu et al., 2018, *Organisation-Oriented Coarse Graining and Refinement of Stochastic Reaction Networks*。 | | 代表文献:Mu et al., 2018, *Organisation-Oriented Coarse Graining and Refinement of Stochastic Reaction Networks*。 |
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| − | === 5. 网络社团检测:把节点合并成社团 === | + | === 网络社团检测:把节点合并成社团 === |
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| | 代表文献:Piccardi, 2011, *Finding and Testing Network Communities by Lumped Markov Chains*。 | | 代表文献:Piccardi, 2011, *Finding and Testing Network Communities by Lumped Markov Chains*。 |
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| − | === 6. 城市交通与出租车流:把细空间单元合并成功能区域 === | + | === 城市交通与出租车流:把细空间单元合并成功能区域 === |
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| | 代表文献:Zhang & Wang, 2020, *Spectral State Compression of Markov Processes*;Duan, Ke & Wang, 2019, *State Aggregation Learning from Markov Transition Data*。 | | 代表文献:Zhang & Wang, 2020, *Spectral State Compression of Markov Processes*;Duan, Ke & Wang, 2019, *State Aggregation Learning from Markov Transition Data*。 |
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| − | === 7. 海洋流与空间流动:把细网格合并成大尺度流动区域 === | + | === 海洋流与空间流动:把细网格合并成大尺度流动区域 === |
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| | 代表文献:Faccin, Schaub & Delvenne, 2021, *State aggregations in Markov chains and block models of networks*。 | | 代表文献:Faccin, Schaub & Delvenne, 2021, *State aggregations in Markov chains and block models of networks*。 |
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| − | === 8. Agent-based model 与观点动力学:把个体配置合并成宏观社会状态 === | + | === Agent-based model 与观点动力学:把个体配置合并成宏观社会状态 === |
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| | 代表文献:Banisch, Lima & Araújo, 2012, *Agent Based Models and Opinion Dynamics as Markov Chains*。 | | 代表文献:Banisch, Lima & Araújo, 2012, *Agent Based Models and Opinion Dynamics as Markov Chains*。 |
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| − | === 9. 排队网络与计算机系统:把复杂系统状态合并成性能状态 === | + | === 排队网络与计算机系统:把复杂系统状态合并成性能状态 === |
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| | 代表文献:Song & Takahashi, 1991, *Aggregate Approximation for Tandem Queueing Systems with Production Blocking*;Gambin, Krzyżanowski & Pokarowski, 2008, *Aggregation algorithms for perturbed Markov chains with applications to networks modeling*。 | | 代表文献:Song & Takahashi, 1991, *Aggregate Approximation for Tandem Queueing Systems with Production Blocking*;Gambin, Krzyżanowski & Pokarowski, 2008, *Aggregation algorithms for perturbed Markov chains with applications to networks modeling*。 |