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pytensor
Commits
3bd1bcf6
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3bd1bcf6
authored
3月 09, 2025
作者:
Thomas Wiecki
提交者:
GitHub
3月 09, 2025
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差异文件
Expose vecdot, vecmat and matvec helpers (#1250)
上级
110e128e
显示空白字符变更
内嵌
并排
正在显示
2 个修改的文件
包含
219 行增加
和
0 行删除
+219
-0
math.py
pytensor/tensor/math.py
+151
-0
test_math.py
tests/tensor/test_math.py
+68
-0
没有找到文件。
pytensor/tensor/math.py
浏览文件 @
3bd1bcf6
...
...
@@ -4122,6 +4122,154 @@ def matmul(x1: "ArrayLike", x2: "ArrayLike", dtype: Optional["DTypeLike"] = None
return
out
def
vecdot
(
x1
:
TensorLike
,
x2
:
TensorLike
,
dtype
:
Optional
[
"DTypeLike"
]
=
None
,
)
->
TensorVariable
:
"""Compute the vector dot product of two arrays.
Parameters
----------
x1, x2
Input arrays with the same shape.
dtype
The desired data-type for the result. If not given, then the type will
be determined as the minimum type required to hold the objects in the
sequence.
Returns
-------
TensorVariable
The vector dot product of the inputs.
Notes
-----
This is equivalent to `numpy.vecdot` and computes the dot product of
vectors along the last axis of both inputs. Broadcasting is supported
across all other dimensions.
Examples
--------
>>> import pytensor.tensor as pt
>>> # Vector dot product with shape (5,) inputs
>>> x = pt.vector("x", shape=(5,)) # shape (5,)
>>> y = pt.vector("y", shape=(5,)) # shape (5,)
>>> z = pt.vecdot(x, y) # scalar output
>>> # Equivalent to numpy.vecdot(x, y)
>>>
>>> # With batched inputs of shape (3, 5)
>>> x_batch = pt.matrix("x", shape=(3, 5)) # shape (3, 5)
>>> y_batch = pt.matrix("y", shape=(3, 5)) # shape (3, 5)
>>> z_batch = pt.vecdot(x_batch, y_batch) # shape (3,)
>>> # Equivalent to numpy.vecdot(x_batch, y_batch)
"""
out
=
_inner_prod
(
x1
,
x2
)
if
dtype
is
not
None
:
out
=
out
.
astype
(
dtype
)
return
out
def
matvec
(
x1
:
TensorLike
,
x2
:
TensorLike
,
dtype
:
Optional
[
"DTypeLike"
]
=
None
)
->
TensorVariable
:
"""Compute the matrix-vector product.
Parameters
----------
x1
Input array for the matrix with shape (..., M, K).
x2
Input array for the vector with shape (..., K).
dtype
The desired data-type for the result. If not given, then the type will
be determined as the minimum type required to hold the objects in the
sequence.
Returns
-------
TensorVariable
The matrix-vector product with shape (..., M).
Notes
-----
This is equivalent to `numpy.matvec` and computes the matrix-vector product
with broadcasting over batch dimensions.
Examples
--------
>>> import pytensor.tensor as pt
>>> # Matrix-vector product
>>> A = pt.matrix("A", shape=(3, 4)) # shape (3, 4)
>>> v = pt.vector("v", shape=(4,)) # shape (4,)
>>> result = pt.matvec(A, v) # shape (3,)
>>> # Equivalent to numpy.matvec(A, v)
>>>
>>> # Batched matrix-vector product
>>> batched_A = pt.tensor3("A", shape=(2, 3, 4)) # shape (2, 3, 4)
>>> batched_v = pt.matrix("v", shape=(2, 4)) # shape (2, 4)
>>> result = pt.matvec(batched_A, batched_v) # shape (2, 3)
>>> # Equivalent to numpy.matvec(batched_A, batched_v)
"""
out
=
_matrix_vec_prod
(
x1
,
x2
)
if
dtype
is
not
None
:
out
=
out
.
astype
(
dtype
)
return
out
def
vecmat
(
x1
:
TensorLike
,
x2
:
TensorLike
,
dtype
:
Optional
[
"DTypeLike"
]
=
None
)
->
TensorVariable
:
"""Compute the vector-matrix product.
Parameters
----------
x1
Input array for the vector with shape (..., K).
x2
Input array for the matrix with shape (..., K, N).
dtype
The desired data-type for the result. If not given, then the type will
be determined as the minimum type required to hold the objects in the
sequence.
Returns
-------
TensorVariable
The vector-matrix product with shape (..., N).
Notes
-----
This is equivalent to `numpy.vecmat` and computes the vector-matrix product
with broadcasting over batch dimensions.
Examples
--------
>>> import pytensor.tensor as pt
>>> # Vector-matrix product
>>> v = pt.vector("v", shape=(3,)) # shape (3,)
>>> A = pt.matrix("A", shape=(3, 4)) # shape (3, 4)
>>> result = pt.vecmat(v, A) # shape (4,)
>>> # Equivalent to numpy.vecmat(v, A)
>>>
>>> # Batched vector-matrix product
>>> batched_v = pt.matrix("v", shape=(2, 3)) # shape (2, 3)
>>> batched_A = pt.tensor3("A", shape=(2, 3, 4)) # shape (2, 3, 4)
>>> result = pt.vecmat(batched_v, batched_A) # shape (2, 4)
>>> # Equivalent to numpy.vecmat(batched_v, batched_A)
"""
out
=
_vec_matrix_prod
(
x1
,
x2
)
if
dtype
is
not
None
:
out
=
out
.
astype
(
dtype
)
return
out
@_vectorize_node.register
(
Dot
)
def
vectorize_node_dot
(
op
,
node
,
batched_x
,
batched_y
):
old_x
,
old_y
=
node
.
inputs
...
...
@@ -4218,6 +4366,9 @@ __all__ = [
"max_and_argmax"
,
"max"
,
"matmul"
,
"vecdot"
,
"matvec"
,
"vecmat"
,
"argmax"
,
"min"
,
"argmin"
,
...
...
tests/tensor/test_math.py
浏览文件 @
3bd1bcf6
...
...
@@ -89,6 +89,7 @@ from pytensor.tensor.math import (
logaddexp
,
logsumexp
,
matmul
,
matvec
,
max
,
max_and_argmax
,
maximum
,
...
...
@@ -123,6 +124,8 @@ from pytensor.tensor.math import (
true_div
,
trunc
,
var
,
vecdot
,
vecmat
,
)
from
pytensor.tensor.math
import
sum
as
pt_sum
from
pytensor.tensor.type
import
(
...
...
@@ -2076,6 +2079,71 @@ class TestDot:
assert
is_super_shape
(
y
,
g
)
def
test_matrix_vector_ops
():
"""Test vecdot, matvec, and vecmat helper functions."""
rng
=
np
.
random
.
default_rng
(
seed
=
utt
.
fetch_seed
())
# Create test data with batch dimension (2)
batch_size
=
2
dim_k
=
4
# Common dimension
dim_m
=
3
# Matrix rows
dim_n
=
5
# Matrix columns
# Create input tensors with appropriate shapes
# For matvec: x1(b,m,k) @ x2(b,k) -> out(b,m)
# For vecmat: x1(b,k) @ x2(b,k,n) -> out(b,n)
# Create test values using config.floatX to match PyTensor's default dtype
mat_mk_val
=
random
(
batch_size
,
dim_m
,
dim_k
,
rng
=
rng
)
.
astype
(
config
.
floatX
)
mat_kn_val
=
random
(
batch_size
,
dim_k
,
dim_n
,
rng
=
rng
)
.
astype
(
config
.
floatX
)
vec_k_val
=
random
(
batch_size
,
dim_k
,
rng
=
rng
)
.
astype
(
config
.
floatX
)
# Create tensor variables with matching dtype
mat_mk
=
tensor
(
name
=
"mat_mk"
,
shape
=
(
batch_size
,
dim_m
,
dim_k
),
dtype
=
config
.
floatX
)
mat_kn
=
tensor
(
name
=
"mat_kn"
,
shape
=
(
batch_size
,
dim_k
,
dim_n
),
dtype
=
config
.
floatX
)
vec_k
=
tensor
(
name
=
"vec_k"
,
shape
=
(
batch_size
,
dim_k
),
dtype
=
config
.
floatX
)
# Test 1: vecdot with matching dimensions
vecdot_out
=
vecdot
(
vec_k
,
vec_k
,
dtype
=
"int32"
)
vecdot_fn
=
function
([
vec_k
],
vecdot_out
)
result
=
vecdot_fn
(
vec_k_val
)
# Check dtype
assert
result
.
dtype
==
np
.
int32
# Calculate expected manually
expected_vecdot
=
np
.
zeros
((
batch_size
,),
dtype
=
np
.
int32
)
for
i
in
range
(
batch_size
):
expected_vecdot
[
i
]
=
np
.
sum
(
vec_k_val
[
i
]
*
vec_k_val
[
i
])
np
.
testing
.
assert_allclose
(
result
,
expected_vecdot
)
# Test 2: matvec - matrix-vector product
matvec_out
=
matvec
(
mat_mk
,
vec_k
)
matvec_fn
=
function
([
mat_mk
,
vec_k
],
matvec_out
)
result_matvec
=
matvec_fn
(
mat_mk_val
,
vec_k_val
)
# Calculate expected manually
expected_matvec
=
np
.
zeros
((
batch_size
,
dim_m
),
dtype
=
config
.
floatX
)
for
i
in
range
(
batch_size
):
expected_matvec
[
i
]
=
np
.
dot
(
mat_mk_val
[
i
],
vec_k_val
[
i
])
np
.
testing
.
assert_allclose
(
result_matvec
,
expected_matvec
)
# Test 3: vecmat - vector-matrix product
vecmat_out
=
vecmat
(
vec_k
,
mat_kn
)
vecmat_fn
=
function
([
vec_k
,
mat_kn
],
vecmat_out
)
result_vecmat
=
vecmat_fn
(
vec_k_val
,
mat_kn_val
)
# Calculate expected manually
expected_vecmat
=
np
.
zeros
((
batch_size
,
dim_n
),
dtype
=
config
.
floatX
)
for
i
in
range
(
batch_size
):
expected_vecmat
[
i
]
=
np
.
dot
(
vec_k_val
[
i
],
mat_kn_val
[
i
])
np
.
testing
.
assert_allclose
(
result_vecmat
,
expected_vecmat
)
class
TestTensordot
:
def
TensorDot
(
self
,
axes
):
# Since tensordot is no longer an op, mimic the old op signature
...
...
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