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Shotgun is a C++ parallel coordinate descent algorithm (standalone and Matlab MEX) for solving L1-regularized least squares and logistic regression problems. See http://arxiv.org/abs/1105.5379
C++ C Matlab M
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TODO.txt added
cas_array.h added
clean_data.m added
common.h added
lasso.cpp added
logreg.cpp added
logres_classify.m added
logres_loglikelihood.m added
mex_shotgun.cpp added
mm_lasso.cpp added
mmio.c added
mmio.h added
mmread.m added
mmwrite.m added
read_matrix_market.cpp Fixed reserve -> resize. Thanks @xunzheng
shared.cpp added
shotgun_lasso.m added
shotgun_logreg.m added
test_vs_liblinear.m added
write_matrix_market.cpp added

README.md

REFERENCE

Joseph K. Bradley, Aapo Kyrola, Danny Bickson, and Carlos Guestrin (2011). "Parallel Coordinate Descent for L1-Regularized Loss Minimization." International Conference on Machine Learning (ICML 2011). http://arxiv.org/abs/1105.5379

INSTALLATION

1) For running as a mex code called from Matlab Just run:

     make

2) For running as a C application, using MatrixMarket input format:

     make cversion_debug
OR
     make cversion_release

Current build is only tested on Linux, so you might need to modify the Makefile to suit your system.

COST FUNCTION

We use the following cost function formulation. For Lasso: argmin_x sum_i [(A_ix - y_i)^2 + lambda * |x|_1] For sparse logistic regression: argmin_x sum_i [-log(1 + exp(-y_i * x A_i) ) + lambda * |x|_1]

where |x|_1 is the first norm (sum of absolute value of the vector x).

USAGE

1) Do not call the mex-library directly. Instead use the provided Matlab-scripts shotgun_logreg.m and shotgun_lasso.m.

Both have same signature:

     shotgun_logreg(A,y,lambda)
     shotgun_lasso(A,y,lambda)

They return the optimized feature/weight-vector. For tuning the parameters, please modify the scripts. A more user-friendly options-passing will be provided later.

For an example, see example/ directory.

2) RUNNING AS A STANDALONE C PROGRAM: Matrix and vector files are mandaroty inputs

Usage: ./mm_lasso
    -m matrix A in sparse matrix market format
     -v vector y in sparse matrix market format
     -o output file name (will contain solution vector x, default is
x.mtx)
     -a algorithm (1=lasso, 2=logitic regresion, 3 = find min lambda for
all zero solution)
     -t convergence threshold (default 1e-5)
     -k solution path length (for lasso)
     -i  max_iter (default 100)
     -n num_threads (default 2)
     -l lammbda - positive weight constant (default 1)
     -V verbose: 1=verbose, 0=quiet (default 0) 

REMARKS

Provided code is not exactly same as the one we used for running our experiments for the ICML 2011 paper. Particularly this code runs slower sequentially, because special code for running with only one cpu has been removed for clarity. Parallel code needs to do some extra work compared to sequential algorithm, and therefore for fairness we had special versions for the sequential tests.

This version uses OpenMP for parallel execution. For the paper, we used CILK++. Since CILK is not as widely available as OpenMP, we decided to switch for the source code release.

MORE INFO

This code is is not well tested and you should not rely on it on any mission-critical tasks.

For bug-fixes or other questions, please contact Aapo Kyrola : akyrola@cs.cmu.edu or Danny Bickson: danny.bickson@gmail.com

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