统计物理学

Wang Cheng-Jun edited this page Dec 19, 2016 · 1 revision

计算传播学是计算社会科学的重要分支。它主要关注人类传播行为的可计算性基础,以传播网络分析、传播文本挖掘、数据科学等为主要分析工具,(以非介入地方式)大规模地收集并分析人类传播行为数据,挖掘人类传播行为背后的模式和法则,分析模式背后的生成机制与基本原理,可以被广泛地应用于数据新闻和计算广告等场景,注重编程训练、数学建模、可计算思维。

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Table of Contents

Statistical physics, networks, machine learning

Statistical physics, statistical inference/learning, statistical optimization

  • - equlibrium
  • - spin-glass theory
  • - message passing
Mézard, M., Parisi, G., & Zecchina, R. (2002). Analytic and algorithmic solution of random satisfiability problems. Science, 297(5582), 812-5.

<math>P \rightarrow NP \rightarrow PH \rightarrow P^{\sum{P}} \rightarrow PSPACE \rightarrow EXP</math>

正反问题

Ising model, Boltzmann distribution -->

  • 正问题 --> combinatorial optimization, hopfield model, SPIN Glasses, potts model, coloring problems, clustering, community detection
  • 反问题 --> 从数据中学到模型, Inverse ising, boltzmann machine, RBM, Perception, DNN
<math> \{J; \beta\} \rightarrow m_i, c_{ij} </math>

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Statistical Mechanics: Entropy, Order Parameters, and Complexity

http://pages.physics.cornell.edu/~sethna/StatMech/

Chapter 1 What is statistical mechanics?

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 Random walks. The motion of molecules in a gas, and bacteria in a liquid, and photons in the Sun, are described by random walks. Describing the specific trajectory of any given ran- dom walk (left) is not feasible. Describing the statistical properties of a large number of random walks is straightforward (right, showing endpoints of many walks starting at the origin). The deep principle underlying statistical mechanics is that it is often easier to under- stand the behavior of these ensembles of systems.