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lscsoft
bilby
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97e20483
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Commit
97e20483
authored
6 years ago
by
Gregory Ashton
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Adds an exampe of how to use tupak for non-GW PE
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examples/other_examples/alternative_likelihoods.py
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examples/other_examples/alternative_likelihoods.py
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examples/other_examples/alternative_likelihoods.py
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97e20483
#!/bin/python
"""
An example of how to use tupak to perform paramater estimation for
non-gravitational wave data
"""
from
__future__
import
division
import
tupak
import
numpy
as
np
import
matplotlib.pyplot
as
plt
# A few simple setup steps
tupak
.
utils
.
setup_logger
(
log_level
=
"
info
"
)
label
=
'
test
'
outdir
=
'
outdir
'
# Here is minimum requirement for a Likelihood class needed to run tupak. In
# this case, we setup a GaussianLikelihood, which needs to have a
# log_likelihood and noise_log_likelihood method. Note, in this case we make
# use of the `tupak` waveform_generator to make the signal (more on this later)
# But, one could make this work without the waveform generator.
class
GaussianLikelihood
():
def
__init__
(
self
,
x
,
y
,
waveform_generator
):
self
.
x
=
x
self
.
y
=
y
self
.
N
=
len
(
x
)
self
.
waveform_generator
=
waveform_generator
def
log_likelihood
(
self
):
sigma
=
1
res
=
self
.
y
-
self
.
waveform_generator
.
time_domain_strain
()
return
-
0.5
*
(
np
.
sum
((
res
/
sigma
)
**
2
)
+
self
.
N
*
np
.
log
(
2
*
np
.
pi
*
sigma
**
2
))
def
noise_log_likelihood
(
self
):
sigma
=
1
return
-
0.5
*
(
np
.
sum
((
self
.
y
/
sigma
)
**
2
)
+
self
.
N
*
np
.
log
(
2
*
np
.
pi
*
sigma
**
2
))
# Here we define our signal model, in this case a very basic trig. function
def
model
(
time
,
A
,
P
):
return
A
*
np
.
sin
(
2
*
np
.
pi
*
time
/
P
)
# Here we define the injection parameters which we make simulated data with
injection_parameters
=
dict
(
A
=
1.5
,
P
=
10
)
# For this example, we'll use standard Gaussian noise
sigma
=
1
# These lines of code generate the fake data. Note the ** just unpacks the
# contents of the injection_paramsters when calling the model function.
sampling_frequency
=
10
time_duration
=
100
time
=
np
.
arange
(
0
,
time_duration
,
1
/
sampling_frequency
)
N
=
len
(
time
)
data
=
model
(
time
,
**
injection_parameters
)
+
np
.
random
.
normal
(
0
,
sigma
,
N
)
# We quickly plot the data to check it looks sensible
fig
,
ax
=
plt
.
subplots
()
ax
.
plot
(
time
,
data
)
ax
.
plot
(
time
,
model
(
time
,
**
injection_parameters
),
'
--r
'
)
fig
.
savefig
(
'
{}/data.png
'
.
format
(
outdir
))
# Here, we make a `tupak` waveform_generator. In this case, of course, the
# name doesn't make so much sense. But essentially this is an objects that
# can generate a signal. We give it information on how to make the time series
# and the model() we wrote earlier.
waveform_generator
=
tupak
.
waveform_generator
.
WaveformGenerator
(
sampling_frequency
=
sampling_frequency
,
time_duration
=
time_duration
,
time_domain_source_model
=
model
)
# Now lets instantiate a version of out Likelihood, giving it the time, data
# and waveform_generator
likelihood
=
GaussianLikelihood
(
time
,
data
,
waveform_generator
)
# From hereon, the syntax is exactly equivalent to other tupak examples
# We make a prior
priors
=
{}
priors
[
'
A
'
]
=
tupak
.
prior
.
Uniform
(
0
,
5
,
'
A
'
)
priors
[
'
P
'
]
=
tupak
.
prior
.
Uniform
(
0
,
20
,
'
P
'
)
# And run sampler
result
=
tupak
.
sampler
.
run_sampler
(
likelihood
=
likelihood
,
priors
=
priors
,
sampler
=
'
dynesty
'
,
npoints
=
1000
,
walks
=
10
,
injection_parameters
=
injection_parameters
,
outdir
=
outdir
,
label
=
label
,
use_ratio
=
False
)
result
.
plot_corner
()
print
(
result
)
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