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https://github.com/ermongroup/streamline-vi-csp


https://github.com/ermongroup/streamline-vi-csp

belief-propagation constraint-satisfaction-problem nips-2018 sat-solver satisfiability variational-inference

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README

          

Streamlined Survey Propogation
============================================

This repository provides a reference implementation for solving constraint satisfaction problems via streamlined survey propogation as described in the paper:

> Streamlining Variational Inference for Constraint Satisfaction Problems
Aditya Grover, Tudor Achim, Stefano Ermon
Advances in Neural Information Processing Systems (NeurIPS), 2018
Paper: http://arxiv.org/abs/1811.09813

## General

The codebase has been built on top of the survey propogation implementation of A. Braunstein, M. Mezard, and R. Zecchina as described in the paper "Survey propagation: an algorithm for satisfiability". It is implemented in C/C++ and tested on Ubuntu 16.04.

## Setup

To compile the binaries run the following command from the root directory

```
make all
```

This will create a binary file for `sp` in the root directory (and others which will be directly accessed by `sp`).

## Options

For a full list of options, run:

```
./sp -h
```

Key options are described below:

```
-l CSP in CNF representation (if none provided, random k-SAT instance is generated)
-k length of each clause
-n number of variables
-m number of clauses
-a clause/variable ratio
-s seed for reproducibility
-% percentage of paired disjunctions (denoted as R in the paper)
-t number of streamlining iterations (denoted as T in the paper)
-d limit on the streamlined disjunctions per variable
-p prefix path where all the generated files (cnf formula, streamlined formula etc.) are dumped

```

## Examples

Baseline *survey inspired decimation* on a random 3-SAT instance with 50,000 variables and clause to variable ratio of 4.235:

```
./sp -n50000 -a4.235 -k3 -%1 -t0 -d2 -s1
```

*Survey inspired streamlining* for the same problem instance:

```
./sp -n50000 -a4.235 -k3 -%1 -t90 -d2 -s1
```

*Survey inspired streamlining* for an arbitrary CSP accessed via the filepath `csp/1.cnf`:

```
./sp -%1 -lcsp/1.cnf -t80
```

## Citing

If you find this codebase useful in your research, please consider citing the following paper:

>@inproceedings{grover2018streamlining,
title={Streamlining Variational Inference for Constraint Satisfaction Problems},
author={Grover, Aditya and Achim, Tudor and Ermon, Stefano},
booktitle={Advances in Neural Information Processing Systems},
year={2018}}