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ift
NIFTy
Commits
c0822be2
Commit
c0822be2
authored
Oct 24, 2019
by
Philipp Arras
Browse files
Work
parent
ed7fff54
Pipeline
#62481
passed with stages
in 6 minutes and 56 seconds
Changes
1
Pipelines
1
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Inline
Side-by-side
nifty5/library/wiener_process_integrated_amplitude.py
View file @
c0822be2
...
@@ -53,30 +53,82 @@ class _Rest(ift.LinearOperator):
...
@@ -53,30 +53,82 @@ class _Rest(ift.LinearOperator):
return
ift
.
from_global_data
(
self
.
_tgt
(
mode
),
res
)
return
ift
.
from_global_data
(
self
.
_tgt
(
mode
),
res
)
def
LogIntegratedWienerProcess
(
target
,
means
,
stddevs
,
keys
):
def
LogIntegratedWienerProcess
(
target
,
means
,
stddevs
,
wienersigmastddev
,
# means and stddevs: zm, slope, yintercept, wienersigma
wienersigmaprob
,
keys
):
# means and stddevs: zm, slope, yintercept
# keys: rest smooth wienersigma
# keys: rest smooth wienersigma
if
not
(
len
(
means
)
==
4
and
len
(
stddevs
)
==
4
and
len
(
keys
)
==
3
):
if
not
(
len
(
means
)
==
3
and
len
(
stddevs
)
==
3
and
len
(
keys
)
==
3
):
raise
ValueError
raise
ValueError
means
=
np
.
array
(
means
)
means
=
np
.
array
(
means
)
stddevs
=
np
.
array
(
stddevs
)
stddevs
=
np
.
array
(
stddevs
)
# FIXME More checks
# FIXME More checks
rest
=
_Rest
(
target
)
rest
=
_Rest
(
target
)
restmeans
=
ift
.
from_global_data
(
rest
.
domain
,
means
[:
-
1
]
)
restmeans
=
ift
.
from_global_data
(
rest
.
domain
,
means
)
reststddevs
=
ift
.
from_global_data
(
rest
.
domain
,
stddevs
[:
-
1
]
)
reststddevs
=
ift
.
from_global_data
(
rest
.
domain
,
stddevs
)
rest
=
rest
@
ift
.
Adder
(
restmeans
)
@
ift
.
makeOp
(
reststddevs
)
rest
=
rest
@
ift
.
Adder
(
restmeans
)
@
ift
.
makeOp
(
reststddevs
)
expander
=
ift
.
VdotOperator
(
ift
.
full
(
target
,
1.
)).
adjoint
expander
=
ift
.
VdotOperator
(
ift
.
full
(
target
,
1.
)).
adjoint
sigma
=
ift
.
Adder
(
ift
.
full
(
expander
.
domain
,
means
[
3
]))
@
(
m
=
means
[
1
]
stddevs
[
3
]
*
ift
.
ducktape
(
expander
.
domain
,
None
,
keys
[
2
]))
L
=
np
.
log
(
target
.
k_lengths
[
-
1
])
-
np
.
log
(
target
.
k_lengths
[
1
])
s
=
np
.
log
(
np
.
abs
(
m
/
L
))
from
scipy.special
import
erfinv
wienermean
=
s
-
erfinv
(
wienersigmaprob
)
*
wienersigmastddev
print
(
s
,
wienermean
,
wienersigmastddev
)
sigma
=
ift
.
Adder
(
ift
.
full
(
expander
.
domain
,
wienermean
))
@
(
wienersigmastddev
*
ift
.
ducktape
(
expander
.
domain
,
None
,
keys
[
2
]))
sigma
=
expander
@
sigma
.
exp
()
sigma
=
expander
@
sigma
.
exp
()
smooth
=
_TwoLogIntegrations
(
target
).
ducktape
(
keys
[
1
])
*
sigma
smooth
=
_TwoLogIntegrations
(
target
).
ducktape
(
keys
[
1
])
*
sigma
return
rest
.
ducktape
(
keys
[
0
])
+
smooth
return
rest
.
ducktape
(
keys
[
0
])
+
smooth
class
Normalization
(
ift
.
Operator
):
def
__init__
(
self
,
domain
):
self
.
_domain
=
self
.
_target
=
ift
.
makeDomain
(
domain
)
hspace
=
self
.
_domain
[
0
].
harmonic_partner
pd
=
ift
.
PowerDistributor
(
hspace
,
power_space
=
self
.
_domain
[
0
])
# TODO Does not work on sphere yet
self
.
_cst
=
pd
.
adjoint
(
ift
.
full
(
pd
.
target
,
hspace
.
scalar_dvol
))
self
.
_specsum
=
SpecialSum
(
self
.
_domain
)
def
apply
(
self
,
x
):
self
.
_check_input
(
x
)
return
self
.
_specsum
(
self
.
_cst
*
x
).
one_over
()
*
x
class
SpecialSum
(
ift
.
EndomorphicOperator
):
def
__init__
(
self
,
domain
):
self
.
_domain
=
ift
.
makeDomain
(
domain
)
self
.
_capability
=
self
.
TIMES
|
self
.
ADJOINT_TIMES
def
apply
(
self
,
x
,
mode
):
self
.
_check_input
(
x
,
mode
)
return
ift
.
full
(
self
.
_tgt
(
mode
),
x
.
sum
())
def
Amplitude
(
target
,
means
,
stddevs
,
wienersigmastddev
,
wienersigmaprob
,
keys
):
op
=
LogIntegratedWienerProcess
(
target
,
means
,
stddevs
,
wienersigmastddev
,
wienersigmaprob
,
keys
)
return
Normalization
(
target
)
@
op
.
exp
()
def
mfplot
(
fld
,
A1
,
A2
,
name
):
p
=
ift
.
Plot
()
dom
=
fld
.
domain
mi
,
ma
=
np
.
min
(
fld
.
val
),
np
.
max
(
fld
.
val
)
for
ii
in
range
(
dom
.
shape
[
-
1
]):
extr
=
ift
.
DomainTupleFieldInserter
(
op
.
target
,
1
,
(
ii
,)).
adjoint
p
.
add
(
extr
(
fld
),
zmin
=
mi
,
zmax
=
ma
)
p
.
add
(
A1
)
p
.
add
(
A2
)
p
.
add
(
fld
)
p
.
output
(
name
=
name
,
xsize
=
14
,
ysize
=
14
)
if
__name__
==
'__main__'
:
if
__name__
==
'__main__'
:
np
.
random
.
seed
(
42
)
np
.
random
.
seed
(
42
)
ndim
=
2
from
correlated_fields_normalized_amplitude
import
CorrelatedFieldNormAmplitude
sspace
=
ift
.
RGSpace
((
512
,
512
))
sspace
=
ift
.
RGSpace
((
512
,
512
))
hspace
=
sspace
.
get_default_codomain
()
hspace
=
sspace
.
get_default_codomain
()
target
=
ift
.
PowerSpace
(
hspace
,
target
=
ift
.
PowerSpace
(
hspace
,
...
@@ -85,14 +137,34 @@ if __name__ == '__main__':
...
@@ -85,14 +137,34 @@ if __name__ == '__main__':
test1
=
_TwoLogIntegrations
(
target
)
test1
=
_TwoLogIntegrations
(
target
)
ift
.
extra
.
consistency_check
(
test0
)
ift
.
extra
.
consistency_check
(
test0
)
ift
.
extra
.
consistency_check
(
test1
)
ift
.
extra
.
consistency_check
(
test1
)
op
=
LogIntegratedWienerProcess
(
target
,
# A = Amplitude(target, [5, -3, 1, 0], [1, 1, 1, 0.5],
[
0
,
-
4
,
1
,
0
],
# ['rest', 'smooth', 'wienersigma'])
[
1
,
1
,
1
,
0.5
],
# fld = ift.from_random('normal', A.domain)
[
'rest'
,
'smooth'
,
'wienersigma'
]).
exp
()
# ift.extra.check_jacobian_consistency(A, fld)
fld
=
ift
.
from_random
(
'normal'
,
op
.
domain
)
# op = CorrelatedFieldNormAmplitude(sspace, A, 3, 2)
ift
.
extra
.
check_jacobian_consistency
(
op
,
fld
)
# plts = []
plts
=
[]
# p = ift.Plot()
for
_
in
range
(
50
):
# for _ in range(25):
# fld = ift.from_random('normal', op.domain)
# plts.append(A.force(fld))
# p.add(op(fld))
# p.output(name='debug1.png', xsize=20, ysize=20)
# ift.single_plot(plts, name='debug.png')
# Multifrequency
sspace1
=
ift
.
RGSpace
((
512
,
512
))
hspace1
=
sspace1
.
get_default_codomain
()
target1
=
ift
.
PowerSpace
(
hspace1
,
ift
.
PowerSpace
.
useful_binbounds
(
hspace1
,
True
))
A1
=
Amplitude
(
target1
,
[
0
,
-
2
,
1
],
[
1
,
1
,
1
],
1
,
0.99
,
[
'rest1'
,
'smooth1'
,
'wienersigma1'
])
sspace2
=
ift
.
RGSpace
((
20
,),
distances
=
(
1e7
))
hspace2
=
sspace2
.
get_default_codomain
()
target2
=
ift
.
PowerSpace
(
hspace2
,
ift
.
PowerSpace
.
useful_binbounds
(
hspace2
,
True
))
A2
=
Amplitude
(
target2
,
[
0
,
-
2
,
1
],
[
1
,
1
,
1
],
1
,
0.99
,
[
'rest2'
,
'smooth2'
,
'wienersigma2'
])
op
=
CorrelatedFieldNormAmplitude
((
sspace1
,
sspace2
),
(
A1
,
A2
),
3
,
2
)
for
jj
in
range
(
10
):
fld
=
ift
.
from_random
(
'normal'
,
op
.
domain
)
fld
=
ift
.
from_random
(
'normal'
,
op
.
domain
)
plts
.
append
(
op
(
fld
))
mfplot
(
op
(
fld
),
A1
.
force
(
fld
),
A2
.
force
(
fld
),
'debug{}.png'
.
format
(
jj
))
ift
.
single_plot
(
plts
,
name
=
'debug.png'
)
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