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testgroup
pytensor
Commits
f8b377fe
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f8b377fe
authored
7月 23, 2015
作者:
Iban Harlouchet
提交者:
Arnaud Bergeron
9月 08, 2015
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testcode for doc/library/scan.txt
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08aa59ef
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scan.txt
doc/library/scan.txt
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doc/library/scan.txt
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f8b377fe
...
@@ -35,7 +35,10 @@ happens automatically.
...
@@ -35,7 +35,10 @@ happens automatically.
The equivalent Theano code would be:
The equivalent Theano code would be:
.. code-block:: python
.. testcode::
import theano
import theano.tensor as T
k = T.iscalar("k")
k = T.iscalar("k")
A = T.vector("A")
A = T.vector("A")
...
@@ -57,6 +60,13 @@ The equivalent Theano code would be:
...
@@ -57,6 +60,13 @@ The equivalent Theano code would be:
print power(range(10),2)
print power(range(10),2)
print power(range(10),4)
print power(range(10),4)
.. testoutput::
[ 0. 1. 4. 9. 16. 25. 36. 49. 64. 81.]
[ 0.00000000e+00 1.00000000e+00 1.60000000e+01 8.10000000e+01
2.56000000e+02 6.25000000e+02 1.29600000e+03 2.40100000e+03
4.09600000e+03 6.56100000e+03]
Let us go through the example line by line. What we did is first to
Let us go through the example line by line. What we did is first to
construct a function (using a lambda expression) that given ``prior_result`` and
construct a function (using a lambda expression) that given ``prior_result`` and
``A`` returns ``prior_result * A``. The order of parameters is fixed by scan:
``A`` returns ``prior_result * A``. The order of parameters is fixed by scan:
...
@@ -88,7 +98,9 @@ The tensor(s) to be looped over should be provided to scan using the
...
@@ -88,7 +98,9 @@ The tensor(s) to be looped over should be provided to scan using the
Here's an example that builds a symbolic calculation of a polynomial
Here's an example that builds a symbolic calculation of a polynomial
from a list of its coefficients:
from a list of its coefficients:
.. code-block:: python
.. testcode::
import numpy
coefficients = theano.tensor.vector("coefficients")
coefficients = theano.tensor.vector("coefficients")
x = T.scalar("x")
x = T.scalar("x")
...
@@ -112,6 +124,11 @@ from a list of its coefficients:
...
@@ -112,6 +124,11 @@ from a list of its coefficients:
print calculate_polynomial(test_coefficients, test_value)
print calculate_polynomial(test_coefficients, test_value)
print 1.0 * (3 ** 0) + 0.0 * (3 ** 1) + 2.0 * (3 ** 2)
print 1.0 * (3 ** 0) + 0.0 * (3 ** 1) + 2.0 * (3 ** 2)
.. testoutput::
19.0
19.0
There are a few things to note here.
There are a few things to note here.
First, we calculate the polynomial by first generating each of the coefficients, and
First, we calculate the polynomial by first generating each of the coefficients, and
...
@@ -142,7 +159,7 @@ pitfall to be careful of: the initial output state that is supplied, that is
...
@@ -142,7 +159,7 @@ pitfall to be careful of: the initial output state that is supplied, that is
generated at each iteration and moreover, it **must not involve an implicit
generated at each iteration and moreover, it **must not involve an implicit
downcast** of the latter.
downcast** of the latter.
..
code-block:: python
..
testcode::
import numpy as np
import numpy as np
...
@@ -169,9 +186,13 @@ downcast** of the latter.
...
@@ -169,9 +186,13 @@ downcast** of the latter.
# test
# test
some_num = 15
some_num = 15
print triangular_sequence(some_num)
print(triangular_sequence(some_num))
print [n * (n + 1) // 2 for n in xrange(some_num)]
print([n * (n + 1) // 2 for n in xrange(some_num)])
.. testoutput::
[ 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105]
[0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105]
Another simple example
Another simple example
----------------------
----------------------
...
@@ -183,7 +204,7 @@ and a "model" output array (whose shape and dtype will be mimicked),
...
@@ -183,7 +204,7 @@ and a "model" output array (whose shape and dtype will be mimicked),
and produces a sequence of arrays with the shape and dtype of the model,
and produces a sequence of arrays with the shape and dtype of the model,
with all values set to zero except at the provided array indices.
with all values set to zero except at the provided array indices.
..
code-block:: python
..
testcode::
location = T.imatrix("location")
location = T.imatrix("location")
values = T.vector("values")
values = T.vector("values")
...
@@ -205,7 +226,21 @@ with all values set to zero except at the provided array indices.
...
@@ -205,7 +226,21 @@ with all values set to zero except at the provided array indices.
test_locations = numpy.asarray([[1, 1], [2, 3]], dtype=numpy.int32)
test_locations = numpy.asarray([[1, 1], [2, 3]], dtype=numpy.int32)
test_values = numpy.asarray([42, 50], dtype=numpy.float32)
test_values = numpy.asarray([42, 50], dtype=numpy.float32)
test_output_model = numpy.zeros((5, 5), dtype=numpy.float32)
test_output_model = numpy.zeros((5, 5), dtype=numpy.float32)
print assign_values_at_positions(test_locations, test_values, test_output_model)
print(assign_values_at_positions(test_locations, test_values, test_output_model))
.. testoutput::
[[[ 0. 0. 0. 0. 0.]
[ 0. 42. 0. 0. 0.]
[ 0. 0. 0. 0. 0.]
[ 0. 0. 0. 0. 0.]
[ 0. 0. 0. 0. 0.]]
[[ 0. 0. 0. 0. 0.]
[ 0. 0. 0. 0. 0.]
[ 0. 0. 0. 50. 0.]
[ 0. 0. 0. 0. 0.]
[ 0. 0. 0. 0. 0.]]]
This demonstrates that you can introduce new Theano variables into a scan function.
This demonstrates that you can introduce new Theano variables into a scan function.
...
@@ -219,7 +254,7 @@ Another useful feature of scan, is that it can handle shared variables.
...
@@ -219,7 +254,7 @@ Another useful feature of scan, is that it can handle shared variables.
For example, if we want to implement a Gibbs chain of length 10 we would do
For example, if we want to implement a Gibbs chain of length 10 we would do
the following:
the following:
..
code-block:: python
..
testcode::
W = theano.shared(W_values) # we assume that ``W_values`` contains the
W = theano.shared(W_values) # we assume that ``W_values`` contains the
# initial values of your weight matrix
# initial values of your weight matrix
...
@@ -251,7 +286,7 @@ update dictionary to your function, you will always get the same 10
...
@@ -251,7 +286,7 @@ update dictionary to your function, you will always get the same 10
sets of random numbers. You can even use the ``updates`` dictionary
sets of random numbers. You can even use the ``updates`` dictionary
afterwards. Look at this example :
afterwards. Look at this example :
..
code-block:: python
..
testcode::
a = theano.shared(1)
a = theano.shared(1)
values, updates = theano.scan(lambda: {a: a+1}, n_steps=10)
values, updates = theano.scan(lambda: {a: a+1}, n_steps=10)
...
@@ -260,7 +295,7 @@ In this case the lambda expression does not require any input parameters
...
@@ -260,7 +295,7 @@ In this case the lambda expression does not require any input parameters
and returns an update dictionary which tells how ``a`` should be updated
and returns an update dictionary which tells how ``a`` should be updated
after each step of scan. If we write :
after each step of scan. If we write :
..
code-block:: python
..
testcode::
b = a + 1
b = a + 1
c = updates[a] + 1
c = updates[a] + 1
...
@@ -289,7 +324,7 @@ execution. To pass the shared variables to Scan you need to put them in a list
...
@@ -289,7 +324,7 @@ execution. To pass the shared variables to Scan you need to put them in a list
and give it to the ``non_sequences`` argument. Here is the Gibbs sampling code
and give it to the ``non_sequences`` argument. Here is the Gibbs sampling code
updated:
updated:
..
code-block:: python
..
testcode::
W = theano.shared(W_values) # we assume that ``W_values`` contains the
W = theano.shared(W_values) # we assume that ``W_values`` contains the
# initial values of your weight matrix
# initial values of your weight matrix
...
@@ -332,7 +367,7 @@ to be ensured by the user. Otherwise, it will result in an error.
...
@@ -332,7 +367,7 @@ to be ensured by the user. Otherwise, it will result in an error.
Using the previous Gibbs sampling example:
Using the previous Gibbs sampling example:
..
code-block:: python
..
testcode::
# The new scan, using strict=True
# The new scan, using strict=True
values, updates = theano.scan(fn=OneStep,
values, updates = theano.scan(fn=OneStep,
...
@@ -369,7 +404,7 @@ In this case we have a sequence over which we need to iterate ``u``,
...
@@ -369,7 +404,7 @@ In this case we have a sequence over which we need to iterate ``u``,
and two outputs ``x`` and ``y``. To implement this with scan we first
and two outputs ``x`` and ``y``. To implement this with scan we first
construct a function that computes one iteration step :
construct a function that computes one iteration step :
..
code-block:: python
..
testcode::
def oneStep(u_tm4, u_t, x_tm3, x_tm1, y_tm1, W, W_in_1, W_in_2, W_feedback, W_out):
def oneStep(u_tm4, u_t, x_tm3, x_tm1, y_tm1, W, W_in_1, W_in_2, W_feedback, W_out):
...
@@ -392,7 +427,7 @@ an order, but also variables, since this is how scan figures out what should
...
@@ -392,7 +427,7 @@ an order, but also variables, since this is how scan figures out what should
be represented by what. Given that we have all
be represented by what. Given that we have all
the Theano variables needed we construct our RNN as follows :
the Theano variables needed we construct our RNN as follows :
..
code-block:: python
..
testcode::
u = T.matrix() # it is a sequence of vectors
u = T.matrix() # it is a sequence of vectors
x0 = T.matrix() # initial state of x has to be a matrix, since
x0 = T.matrix() # initial state of x has to be a matrix, since
...
@@ -432,7 +467,7 @@ provided condition evaluates to True.
...
@@ -432,7 +467,7 @@ provided condition evaluates to True.
For an example, we will compute all powers of two smaller then some provided
For an example, we will compute all powers of two smaller then some provided
value ``max_value``.
value ``max_value``.
..
code-block:: python
..
testcode::
def power_of_2(previous_power, max_value):
def power_of_2(previous_power, max_value):
return previous_power*2, theano.scan_module.until(previous_power*2 > max_value)
return previous_power*2, theano.scan_module.until(previous_power*2 > max_value)
...
@@ -446,6 +481,10 @@ value ``max_value``.
...
@@ -446,6 +481,10 @@ value ``max_value``.
f = theano.function([max_value], values)
f = theano.function([max_value], values)
print f(45)
print f(45)
.. testoutput::
[ 2. 4. 8. 16. 32. 64.]
As you can see, in order to terminate on condition, the only thing required
As you can see, in order to terminate on condition, the only thing required
is that the inner function ``power_of_2`` to return also the condition
is that the inner function ``power_of_2`` to return also the condition
...
...
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