Stat 369 : References

There does not exist a textbook that matches exactly the topics treated in this course.

A great resource containing all the early original papers on mean field spin glasses:

• M. Mezard, G. Parisi, and M. A. Virasoro, Spin glass theory and beyond, World Scientific 1987

Our book focuses on models on sparse graphs, and connections with computer science and information theory:

• M. Mezard and A. Montanari Information, Physics, and Computation, Oxford University Press, 2009

A rigorous introduction to the Sherrington-Kirkpatrick model can be found here

• D. Panchenko, The Sherrington-Kirkpatrick model, Springer, 2013

We will post here additional articles that might be useful for specific topics:

Some references for Approximate Message Passing:

• D. Donoho, A. Maleki and A. Montanari, Message Passing Algorithms for compressed sensing I: motivation and construction, 2010.

• A. Montanari,Graphical Models concepts in Compressed Sensing, 2011.

• M. Bayati and A. Montanari, The Dynamics of Message Passing on Dense Graphs, with Applications to Compressed Sensing, 2011.

• M. Bayati, M. Lelarge and A. Montanari, Universality in polytope phase transitions and message passing algorithms, 2015.