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发表时间:2019-12-30 阅读次数:660次
报告题目: Complex energy landscape in disordered system
报 告 人:Dr. Zhehua Li
报告人所在单位:Northwestern University
报告日期:2019-12-30 星期一
报告时间:10:30-11:30
报告地点:光华东主楼1501
  
报告摘要:
      Complex energy landscape with many metastable states is ubiquitous in many disordered
systems ranging from statistical physics to high dimensional statistics, machine learning, biology
and even social network.
      In this talk we focus on a wide class of simple glassy models characterized by a class of random
Hamiltonians on the N-1 dimensional sphere of radius square root of N. It is known recently
that these systems exhibit phase transitions in terms of the topology of energy landscape.
      In particular, when the sigmal-to-noise ratio is beyond some threshold, their ground states are
conjectured to be replica-symmetric which is instrumental in characterizing dynamical behavior.
      We recently derive an explicit formula for their limiting ground states by combining techniques in spin glass theory and random matrices. Moreover we can characterize the mean number
of deep minima near the bottom of the landscape which shows some interesting phenomenon
beyond the physics picture onstage.
 
  
本年度学院报告总序号:298

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