图 书 馆
一种随机优化和逆动态问题的消息传递方法A message-passing approach to stochastic optimization and inverse dynamical problems |
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| 课程网址: | http://videolectures.net/cyberstat2012_zecchina_message_passing/ |
| 主讲教师: | Riccardo Zecchina |
| 开课单位: | 都灵理工学院 |
| 开课时间: | 2012-10-16 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | We will discuss how statistical physics techniques developed for the study of stochastic optimization problems can be used to design efficient algorithms for analyzing, controlling and activating extreme trajectories in a variety of cascade processes over graphs and lattices, in which nodes “activate” depending on the state of their neighbors. The problem is in general intractable, with the exception of models that satisfy a sort of diminishing returns property called submodularity (submodular models can be approximately solved by means of greedy strategies, but by definition they lack cooperative characteristics which are fundamental in many real systems). We show that for a wide class of irreversible dynamics, even in the absence of submodularity, the problem of activating rare trajectories in the dynamics can be solved efficiently on large networks. Examples of preliminary applications range from the maximization of the spread of influence in Threshold Linear Models (Bootstrap percolation) to the minimization of infection processes in SIR models. |
| 关 键 词: | 数学; 控制理论; 物理; 统计物理学 |
| 课程来源: | 视频讲座网 |
| 最后编审: | 2020-09-21：heyf |
| 阅读次数: | 54 |