Quiet Planting in the Locked Constraint Satisfaction Problems

نویسندگان

  • Lenka Zdeborová
  • Florent Krzakala
چکیده

We study the planted ensemble of locked constraint satisfaction problems. We describe the connection between the random and planted ensembles. The use of the cavity method is combined with arguments from reconstruction on trees and first and second moment considerations; in particular the connection with the reconstruction on trees appears to be crucial. Our main result is the location of the hard region in the planted ensemble. In a part of that hard region instances have with high probability a single satisfying assignment.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Special Section on Constraint Satisfaction Problems and Message Passing Algorithms

Recent years have seen the emergence of a fascinating cross-disciplinary area at the interface of statistical physics, combinatorial optimization, information theory, and computer science. Many important questions in various branches of science can be formulated as problems of optimization or inference, and the framework of graphical models provides a common language. Topics range from constrai...

متن کامل

Constraint satisfaction problems with isolated solutions are hard

We study the phase diagram and the algorithmic hardness of the random ‘locked’ constraint satisfaction problems, and compare them to the commonly studied ‘non-locked’ problems like satisfiability of Boolean formulae or graph coloring. The special property of the locked problems is that clusters of solutions are isolated points. This simplifies significantly the determination of the phase diagra...

متن کامل

Hiding Quiet Solutions in Random Constraint Satisfaction Problems

We study constraint satisfaction problems on the so-called planted random ensemble. We show that for a certain class of problems, e.g., graph coloring, many of the properties of the usual random ensemble are quantitatively identical in the planted random ensemble. We study the structural phase transitions and the easy-hard-easy pattern in the average computational complexity. We also discuss th...

متن کامل

Correlation-based decimation in constraint satisfaction problems

We study hard constraint satisfaction problems using some decimation algorithms based on mean-field approximations. The message-passing approach is used to estimate, beside the usual one-variable marginals, the pair correlation functions. The identification of strongly correlated pairs allows to use a new decimation procedure, where the relative orientation of a pair of variables is fixed. We a...

متن کامل

Susceptibility Propagation for Constraint Satisfaction Problems

We study the susceptibility propagation, a message-passing algorithm to compute correlation functions. It is applied to constraint satisfaction problems and its accuracy is examined. As a heuristic method to find a satisfying assignment, we propose susceptibility-guided decimation where correlations among the variables play an important role. We apply this novel decimation to locked occupation ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • SIAM J. Discrete Math.

دوره 25  شماره 

صفحات  -

تاریخ انتشار 2011