========================================================================= Big Data vs. complex physical models - a scalable inference algorithm

A algorithm for fitting models against many data sets, giving parameter probability distributions. The key is that model evaluations are efficiently re-used between data sets, making the algorithm scale sub-linearly.

See paper for details: https://arxiv.org/abs/1707.04476

How to run

You need to install

• python-igraph
• numpy, scipy
• h5py
• progressbar
• gcc

Then run::

$ # build
$ make
$ # simulate data set
$ python gensimple_horns.py 10000
$ # analyse
$ OMP_NUM_THREADS=4 python sample.py data_widths_10000.hdf5 100
$ # simulate no-signal data set
$ python gennothing.py 10000 # simulate no-signal data set
$ # analyse
$ OMP_NUM_THREADS=4 python sample.py data_nothing_10000.hdf5 10000

See paper draft for details.

Improving Performance

See TODO.

Implementation notes and Code organisation

• sample.py sets up everything
• Set your problem definition (parameters, model, likelihood) in sample.py
• Integrator: multi_nested_integrator.py . Calls sampler repeatedly.
• Joint Sampler: multi_nested_sampler.py . This deals with managing the graph and the queues and which live points to use for a new draw. Calls draw_constrained
• The queues (paper) are called shelves in the code.
• RadFriends: hiermetriclearn.py: Suggests new samples from live points and filters with likelihood function to return a higher point.
• clustering/: Fast C implementations for checking if a point is in the neighbourhood and computing safe distances.