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Quantum Tinkerer
adaptive
Merge requests
!121
2D: add loss that minimizes the area of the triangle in 3D
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2D: add loss that minimizes the area of the triangle in 3D
loss_like_1d_in_2d
into
master
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0
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1
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5
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1
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Bas Nijholt
requested to merge
loss_like_1d_in_2d
into
master
6 years ago
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This is similar to the default loss in the
Learner1D
It results in:
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ec32933a
2D: add loss that minimized the area of the triangle in 3D
· ec32933a
Bas Nijholt
authored
6 years ago
adaptive/learner/learner2D.py
+
38
−
0
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@@ -99,6 +99,44 @@ def resolution_loss(ip, min_distance=0, max_distance=1):
return
loss
def
minimize_triangle_surface_loss
(
ip
):
"""
Loss function that is similar to the default loss function in the
`Learner1D`. The loss is the area spanned by the 3D vectors of the
vertices.
Works with `~adaptive.Learner2D` only.
Examples
--------
>>>
from
adaptive.learner.learner2D
import
minimize_triangle_surface_loss
>>>
def
f
(
xy
):
...
x
,
y
=
xy
...
return
x
**
2
+
y
**
2
>>>
>>>
learner
=
adaptive
.
Learner2D
(
f
,
bounds
=
[(
-
1
,
-
1
),
(
1
,
1
)],
...
loss_per_triangle
=
minimize_triangle_surface_loss
)
>>>
"""
tri
=
ip
.
tri
points
=
tri
.
points
[
tri
.
vertices
]
values
=
ip
.
values
[
tri
.
vertices
]
delta_pts
=
points
-
points
[:,
-
1
,
:][:,
None
,
:]
vectors
=
delta_pts
[:,
:
2
,
:]
a_xy
=
vectors
[:,
0
,
:]
b_xy
=
vectors
[:,
1
,
:]
delta_vals
=
values
-
values
[:,
-
1
,
:][:,
None
,
:]
vectors
=
delta_vals
[:,
:
2
,
:]
a_z
=
vectors
[:,
0
,
:]
b_z
=
vectors
[:,
1
,
:]
a
=
np
.
hstack
([
a_xy
,
a_z
])
b
=
np
.
hstack
([
b_xy
,
b_z
])
return
np
.
linalg
.
norm
(
np
.
cross
(
a
,
b
),
axis
=
1
)
def
default_loss
(
ip
):
dev
=
np
.
sum
(
deviations
(
ip
),
axis
=
0
)
A
=
areas
(
ip
)
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