提交 ba81e61d authored 作者: Frédéric Bastien's avatar Frédéric Bastien

Merge pull request #1878 from abergeron/gpuarray_doc

Gpuarray doc
.. _NEWS:
============= =============
Release Notes Release Notes
============= =============
......
...@@ -15,7 +15,7 @@ Profiling ...@@ -15,7 +15,7 @@ Profiling
Theano output: Theano output:
.. literalinclude:: logreg_profile.txt .. literalinclude:: logreg_profile.prof
Compilation pipeline Compilation pipeline
-------------------- --------------------
......
...@@ -216,5 +216,3 @@ optimization can pre-check whether it will get rejected by using the ...@@ -216,5 +216,3 @@ optimization can pre-check whether it will get rejected by using the
which Ops can be performed inplace. You may then skip the optimization if it is which Ops can be performed inplace. You may then skip the optimization if it is
incompatible with this check. Note however that this check does not cover all incompatible with this check. Note however that this check does not cover all
cases where an optimization may be rejected (it will not detect cycles). cases where an optimization may be rejected (it will not detect cycles).
.. _optdb:
...@@ -176,19 +176,19 @@ has more implemented distributions. ...@@ -176,19 +176,19 @@ has more implemented distributions.
The slowest is our wrapper on NumPy's random generator. The slowest is our wrapper on NumPy's random generator.
We explain and provide advice on 3 possibles implementations of new We explain and provide advice on 3 possibles implementations of new
distributions here:: distributions here:
1) Extend our wrapper around NumPy random functions. 1. Extend our wrapper around NumPy random functions.
See this `PR <https://github.com/Theano/Theano/pull/1607>`_ as an example. See this `PR <https://github.com/Theano/Theano/pull/1607>`_ as an example.
2) Extend MRG implementation by reusing existing Theano Op. Look into 2. Extend MRG implementation by reusing existing Theano Op. Look into
the ``theano/sandbox/rng_mrg.py`` file and grep for all code about the ``theano/sandbox/rng_mrg.py`` file and grep for all code about
binomial(). This distribution uses the output of the uniform binomial(). This distribution uses the output of the uniform
distribution and converts it to a binomial distribution with distribution and converts it to a binomial distribution with
existing Theano operations. The tests go in existing Theano operations. The tests go in
``theano/sandbox/test_rng_mrg.py`` ``theano/sandbox/test_rng_mrg.py``
3) Extend MRG implementation with a new Op that takes a uniform sample as 3. Extend MRG implementation with a new Op that takes a uniform sample as
input. Look in the ``theano/sandbox/{rng_mrg,multinomial}.py`` file input. Look in the ``theano/sandbox/{rng_mrg,multinomial}.py`` file
and its test in ``theano/sandbox/test_multinomal.py``. This is and its test in ``theano/sandbox/test_multinomal.py``. This is
recommended when current Theano ops aren't well suited to modify recommended when current Theano ops aren't well suited to modify
......
...@@ -13,9 +13,10 @@ arrays efficiently. Theano features: ...@@ -13,9 +13,10 @@ arrays efficiently. Theano features:
* **dynamic C code generation** -- Evaluate expressions faster. * **dynamic C code generation** -- Evaluate expressions faster.
* **extensive unit-testing and self-verification** -- Detect and diagnose many types of mistake. * **extensive unit-testing and self-verification** -- Detect and diagnose many types of mistake.
Theano has been powering large-scale computationally intensive scientific investigations Theano has been powering large-scale computationally intensive
since 2007. But it is also approachable enough to be used in the classroom scientific investigations since 2007. But it is also approachable
(IFT6266 at the University of Montreal). enough to be used in the classroom (IFT6266 at the University of
Montreal).
News News
==== ====
...@@ -59,22 +60,24 @@ directory, so that when you pull updates via Git, they will be ...@@ -59,22 +60,24 @@ directory, so that when you pull updates via Git, they will be
automatically reflected the "installed" version. For more information about automatically reflected the "installed" version. For more information about
installation and configuration, see :ref:`installing Theano <install>`. installation and configuration, see :ref:`installing Theano <install>`.
Status .. only:: html
======
.. image:: https://secure.travis-ci.org/Theano/Theano.png?branch=master Status
======
.. image:: https://secure.travis-ci.org/Theano/Theano.png?branch=master
:target: http://travis-ci.org/Theano/Theano/builds :target: http://travis-ci.org/Theano/Theano/builds
.. image:: https://pypip.in/v/Theano/badge.png .. image:: https://pypip.in/v/Theano/badge.png
:target: https://crate.io/packages/Theano/ :target: https://crate.io/packages/Theano/
:alt: Latest PyPI version :alt: Latest PyPI version
.. image:: https://pypip.in/d/Theano/badge.png .. image:: https://pypip.in/d/Theano/badge.png
:target: https://crate.io/packages/Theano/ :target: https://crate.io/packages/Theano/
:alt: Number of PyPI downloads :alt: Number of PyPI downloads
.. _available on PyPI: http://pypi.python.org/pypi/Theano .. _available on PyPI: http://pypi.python.org/pypi/Theano
.. _Related Projects: https://github.com/Theano/Theano/wiki/Related-projects .. _Related Projects: https://github.com/Theano/Theano/wiki/Related-projects
Citing Theano Citing Theano
============== ==============
......
...@@ -69,12 +69,17 @@ The following libraries and software are optional: ...@@ -69,12 +69,17 @@ The following libraries and software are optional:
To be able to make picture of Theano computation graph. To be able to make picture of Theano computation graph.
`NVIDIA CUDA drivers and SDK`_ `NVIDIA CUDA drivers and SDK`_
Required for GPU code generation/execution. Only NVIDIA GPUs using Required for GPU code generation/execution on NVIDIA gpus
32-bit floating point numbers are currently supported.
`libgpuarray`_
Required for GPU/CPU code generation on CUDA and OpenCL devices (see: :ref:`gpuarray`.)
:note: OpenCL support is still minimal for now.
.. _LaTeX: http://www.latex-project.org/ .. _LaTeX: http://www.latex-project.org/
.. _dvipng: http://savannah.nongnu.org/projects/dvipng/ .. _dvipng: http://savannah.nongnu.org/projects/dvipng/
.. _NVIDIA CUDA drivers and SDK: http://developer.nvidia.com/object/gpucomputing.html .. _NVIDIA CUDA drivers and SDK: http://developer.nvidia.com/object/gpucomputing.html
.. _libgpuarray: http://deeplearning.net/software/libgpuarray/installation.html
Linux Linux
----- -----
......
...@@ -1545,7 +1545,8 @@ Linear Algebra ...@@ -1545,7 +1545,8 @@ Linear Algebra
If an integer i, it is converted to an array containing If an integer i, it is converted to an array containing
the last i dimensions of the first tensor and the first the last i dimensions of the first tensor and the first
i dimensions of the second tensor (excluding the first i dimensions of the second tensor (excluding the first
(batch) dimension): (batch) dimension)::
axes = [range(a.ndim - i, b.ndim), range(1,i+1)] axes = [range(a.ndim - i, b.ndim), range(1,i+1)]
If an array, its two elements must contain compatible axes If an array, its two elements must contain compatible axes
...@@ -1643,36 +1644,43 @@ Gradient / Differentiation ...@@ -1643,36 +1644,43 @@ Gradient / Differentiation
>>> next_grad = dict(zip(grad_ends[i], next_grad)) >>> next_grad = dict(zip(grad_ends[i], next_grad))
>>> param_grads.extend(param_grad) >>> param_grads.extend(param_grad)
:type wrt : List of Variables. :type wrt: list of variables
:param wrt:
Gradients are computed with respect to `wrt`. Gradients are computed with respect to `wrt`.
:type end : List of Variables. :type end: list of variables
Theano variables at which to end gradient descent :param end:
(they are considered constant in theano.grad). Theano variables at which to end gradient descent (they are
For convenience, the gradients with respect to these variables considered constant in theano.grad). For convenience, the
are also returned. gradients with respect to these variables are also returned.
:type start: dictionary of variables
:param start:
If not None, a dictionary mapping variables to their
gradients. This is useful when the gradient on some variables
are known. These are used to compute the gradients backwards up
to the variables in `end` (they are used as known_grad in
theano.grad).
:type cost: scalar (0-dimensional) variable
:param cost:
:type start : Dictionary of Variables Additional costs for which to compute the gradients. For
:param start: If not None, a dictionary mapping variables to example, these could be weight decay, an l1 constraint, MSE,
their gradients. This is useful when the gradient on some NLL, etc. May optionally be None if start is provided.
variables are known. These are used to compute the gradients
backwards up to the variables in `end`
(they are used as known_grad in theano.grad).
:type cost: Scalar (0-dimensional) Variable. .. warning::
:param cost:
Additional costs for which to compute the gradients. If the gradients of `cost` with respect to any of the `start`
For example, these could be weight decay, an l1 constraint, variables is already part of the `start` dictionary, then it
MSE, NLL, etc. May optionally be None if start is provided. may be counted twice with respect to `wrt` and `end`.
Warning : If the gradients of `cost` with respect to any
of the `start` variables is already part of the `start` :type details: bool
dictionary, then it may be counted twice with respect to `wrt` :param details:
and `end`.
When True, additionally returns the list of gradients from
:type details: bool. `start` and of `cost`, respectively, with respect to `wrt` (not
:param details: When True, additionally returns the `end`).
list of gradients from `start` and of `cost`, respectively,
with respect to `wrt` (not `end`).
:rtype: Tuple of 2 or 4 Lists of Variables :rtype: Tuple of 2 or 4 Lists of Variables
......
=======
OpenCL
=======
Migrate the GPU code-generators to the PyCUDA style, and eventually to OpenCL.
This means mainly to use a different kind of code-generation strategy. The
kernel itself is compiled, but the calling code remains in python or cython. We
would no longer generate entire C files this way, and no longer use the CLinker
for GPU code.
...@@ -65,10 +65,11 @@ if __name__ == '__main__': ...@@ -65,10 +65,11 @@ if __name__ == '__main__':
options.update(dict([x, y or True] for x, y in options.update(dict([x, y or True] for x, y in
getopt.getopt(sys.argv[1:], getopt.getopt(sys.argv[1:],
'o:', 'o:',
['epydoc', 'rst', 'help', 'nopdf'])[0])) ['epydoc', 'rst', 'help', 'nopdf', 'cache'])[0]))
if options['--help']: if options['--help']:
print 'Usage: %s [OPTIONS]' % sys.argv[0] print 'Usage: %s [OPTIONS]' % sys.argv[0]
print ' -o <dir>: output the html files in the specified dir' print ' -o <dir>: output the html files in the specified dir'
print ' --cache: use the doctree cache'
print ' --rst: only compile the doc (requires sphinx)' print ' --rst: only compile the doc (requires sphinx)'
print ' --nopdf: do not produce a PDF file from the doc, only HTML' print ' --nopdf: do not produce a PDF file from the doc, only HTML'
print ' --epydoc: only compile the api documentation', print ' --epydoc: only compile the api documentation',
...@@ -114,16 +115,22 @@ if __name__ == '__main__': ...@@ -114,16 +115,22 @@ if __name__ == '__main__':
if options['--all'] or options['--rst']: if options['--all'] or options['--rst']:
mkdir("doc") mkdir("doc")
import sphinx
sys.path[0:0] = [os.path.join(throot, 'doc')] sys.path[0:0] = [os.path.join(throot, 'doc')]
sphinx.main(['', '-E', os.path.join(throot, 'doc'), '.']) def call_sphinx(builder, workdir, extraopts=None):
import sphinx
if extraopts is None:
extraopts = []
if not options['--cache']:
extraopts.append('-E')
sphinx.main(['', '-b', builder] + extraopts +
[os.path.join(throot, 'doc'), workdir])
call_sphinx('html', '.')
if not options['--nopdf']: if not options['--nopdf']:
# Generate latex file in a temp directory # Generate latex file in a temp directory
import tempfile import tempfile
workdir = tempfile.mkdtemp() workdir = tempfile.mkdtemp()
sphinx.main(['', '-E', '-b', 'latex', call_sphinx('latex', workdir)
os.path.join(throot, 'doc'), workdir])
# Compile to PDF # Compile to PDF
os.chdir(workdir) os.chdir(workdir)
os.system('make') os.system('make')
......
...@@ -216,6 +216,7 @@ be costly. Here are a few tips to ensure fast and efficient use of GPU memory a ...@@ -216,6 +216,7 @@ be costly. Here are a few tips to ensure fast and efficient use of GPU memory a
(Further information on the current implementation of the GPU version of ``set_value()`` can be found (Further information on the current implementation of the GPU version of ``set_value()`` can be found
here: :ref:`libdoc_cuda_var`) here: :ref:`libdoc_cuda_var`)
.. _borrowfunction:
Borrowing when Constructing Function Objects Borrowing when Constructing Function Objects
============================================ ============================================
...@@ -258,13 +259,58 @@ combination of ``return_internal_type=True`` and ``borrow=True`` arguments to ...@@ -258,13 +259,58 @@ combination of ``return_internal_type=True`` and ``borrow=True`` arguments to
hints that give more flexibility to the compilation and optimization of the hints that give more flexibility to the compilation and optimization of the
graph. graph.
For GPU graphs, this borrowing can have a major speed impact. See the following code:
.. code-block:: python
from theano import function, config, shared, sandbox, tensor, Out
import numpy
import time
vlen = 10 * 30 * 768 # 10 x # cores x # threads per core
iters = 1000
rng = numpy.random.RandomState(22)
x = shared(numpy.asarray(rng.rand(vlen), config.floatX))
f1 = function([], sandbox.cuda.basic_ops.gpu_from_host(tensor.exp(x)))
f2 = function([],
Out(sandbox.cuda.basic_ops.gpu_from_host(tensor.exp(x)),
borrow=True))
t0 = time.time()
for i in xrange(iters):
r = f1()
t1 = time.time()
no_borrow = t1 - t0
t0 = time.time()
for i in xrange(iters):
r = f2()
t1 = time.time()
print 'Looping', iters, 'times took', no_borrow, 'seconds without borrow',
print 'and', t1 - t0, 'seconds with borrow.'
if numpy.any([isinstance(x.op, tensor.Elemwise) and
('Gpu' not in type(x.op).__name__)
for x in f1.maker.fgraph.toposort()]):
print 'Used the cpu'
else:
print 'Used the gpu'
Which produces this output:
.. code-block:: text
$ THEANO_FLAGS=device=gpu0,floatX=float32 python test1.py
Using gpu device 0: GeForce GTX 275
Looping 1000 times took 0.368273973465 seconds without borrow and 0.0240728855133 seconds with borrow.
Used the gpu
*Take home message:* *Take home message:*
When an input *x* to a function is not needed after the function returns and you When an input *x* to a function is not needed after the function
would like to make it available to Theano as additional workspace, then consider returns and you would like to make it available to Theano as
marking it with ``In(x, borrow=True)``. It may make the function faster and additional workspace, then consider marking it with ``In(x,
reduce its memory requirement. borrow=True)``. It may make the function faster and reduce its memory
When a return value *y* is large (in terms of memory footprint), and you only need to read from it once, right requirement. When a return value *y* is large (in terms of memory
away when it's returned, then consider marking it with an ``Out(y, footprint), and you only need to read from it once, right away when
it's returned, then consider marking it with an ``Out(y,
borrow=True)``. borrow=True)``.
...@@ -137,7 +137,7 @@ Theano defines the following modes by name: ...@@ -137,7 +137,7 @@ Theano defines the following modes by name:
- ``'DebugMode``: Verify the correctness of all optimizations, and compare C and Python - ``'DebugMode``: Verify the correctness of all optimizations, and compare C and Python
implementations. This mode can take much longer than the other modes, but can identify implementations. This mode can take much longer than the other modes, but can identify
several kinds of problems. several kinds of problems.
- ``'ProfileMode'``(deprecated): Same optimization as FAST_RUN, but print some profiling information. - ``'ProfileMode'`` (deprecated): Same optimization as FAST_RUN, but print some profiling information.
The default mode is typically ``FAST_RUN``, but it can be controlled via The default mode is typically ``FAST_RUN``, but it can be controlled via
the configuration variable :attr:`config.mode`, the configuration variable :attr:`config.mode`,
......
...@@ -72,4 +72,4 @@ to run the example: ...@@ -72,4 +72,4 @@ to run the example:
The output: The output:
.. literalinclude:: profiling_example_out.txt .. literalinclude:: profiling_example_out.prof
...@@ -5,17 +5,22 @@ ...@@ -5,17 +5,22 @@
Using the GPU Using the GPU
============= =============
For an introductory discussion of *Graphical Processing Units* (GPU) and their use for For an introductory discussion of *Graphical Processing Units* (GPU)
intensive parallel computation purposes, see `GPGPU <http://en.wikipedia.org/wiki/GPGPU>`_. and their use for intensive parallel computation purposes, see `GPGPU
<http://en.wikipedia.org/wiki/GPGPU>`_.
One of Theano's design goals is to specify computations at an One of Theano's design goals is to specify computations at an abstract
abstract level, so that the internal function compiler has a lot of flexibility level, so that the internal function compiler has a lot of flexibility
about how to carry out those computations. One of the ways we take advantage of about how to carry out those computations. One of the ways we take
this flexibility is in carrying out calculations on an Nvidia graphics card when advantage of this flexibility is in carrying out calculations on a
the device present in the computer is CUDA-enabled. graphics card.
Setting Up CUDA There are two ways currently to use a gpu, one of which only supports NVIDIA cards (:ref:`cuda`) and the other, in development, that should support any OpenCL device as well as NVIDIA cards (:ref:`gpuarray`).
----------------
.. _cuda:
CUDA backend
------------
If you have not done so already, you will need to install Nvidia's If you have not done so already, you will need to install Nvidia's
GPU-programming toolchain (CUDA) and configure Theano to use it. GPU-programming toolchain (CUDA) and configure Theano to use it.
...@@ -23,7 +28,7 @@ We provide installation instructions for :ref:`Linux <gpu_linux>`, ...@@ -23,7 +28,7 @@ We provide installation instructions for :ref:`Linux <gpu_linux>`,
:ref:`MacOS <gpu_macos>` and :ref:`Windows <gpu_windows>`. :ref:`MacOS <gpu_macos>` and :ref:`Windows <gpu_windows>`.
Testing Theano with GPU Testing Theano with GPU
----------------------- ~~~~~~~~~~~~~~~~~~~~~~~
To see if your GPU is being used, cut and paste the following program into a To see if your GPU is being used, cut and paste the following program into a
file and run it. file and run it.
...@@ -87,7 +92,7 @@ Note that GPU operations in Theano require for now ``floatX`` to be *float32* (s ...@@ -87,7 +92,7 @@ Note that GPU operations in Theano require for now ``floatX`` to be *float32* (s
Returning a Handle to Device-Allocated Data Returning a Handle to Device-Allocated Data
------------------------------------------- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The speedup is not greater in the preceding example because the function is The speedup is not greater in the preceding example because the function is
returning its result as a NumPy ndarray which has already been copied from the returning its result as a NumPy ndarray which has already been copied from the
...@@ -139,100 +144,17 @@ The output from this program is ...@@ -139,100 +144,17 @@ The output from this program is
1.62323296] 1.62323296]
Used the gpu Used the gpu
Here we've shaved off about 50% of the run-time by simply not copying the Here we've shaved off about 50% of the run-time by simply not copying
resulting array back to the host. the resulting array back to the host. The object returned by each
The object returned by each function call is now not a NumPy array but a function call is now not a NumPy array but a "CudaNdarray" which can
"CudaNdarray" which can be converted to a NumPy ndarray by the normal be converted to a NumPy ndarray by the normal NumPy casting mechanism
NumPy casting mechanism. using something like ``numpy.asarray()``.
Running the GPU at Full Speed
------------------------------
To really get maximum performance in this simple example, we need to use an
:class:`out<function.Out>` instance with the flag ``borrow=True`` to tell Theano not to copy
the output it returns to us. This is because Theano pre-allocates memory for internal use
(like working buffers), and by default will never return a result that is aliased to one of
its internal buffers: instead, it will copy the buffers associated to outputs into newly
allocated memory at each function call. This is to ensure that subsequent function calls will
not overwrite previously computed outputs. Although this is normally what you want, our last
example was so simple that it had the unwanted side-effect of really slowing things down.
..
TODO:
The story here about copying and working buffers is misleading and potentially not correct
... why exactly does borrow=True cut 75% of the runtime ???
.. TODO: Answer by Olivier D: it sounds correct to me -- memory allocations must be slow.
.. If you modify this code, also change :
.. theano/tests/test_tutorial.py:T_using_gpu.test_using_gpu_3
.. code-block:: python
from theano import function, config, shared, sandbox, Out
import theano.tensor as T
import numpy
import time
vlen = 10 * 30 * 768 # 10 x # cores x # threads per core
iters = 1000
rng = numpy.random.RandomState(22)
x = shared(numpy.asarray(rng.rand(vlen), config.floatX))
f = function([],
Out(sandbox.cuda.basic_ops.gpu_from_host(T.exp(x)),
borrow=True))
print f.maker.fgraph.toposort()
t0 = time.time()
for i in xrange(iters):
r = f()
t1 = time.time()
print 'Looping %d times took' % iters, t1 - t0, 'seconds'
print 'Result is', r
print 'Numpy result is', numpy.asarray(r)
if numpy.any([isinstance(x.op, T.Elemwise) for x in f.maker.fgraph.toposort()]):
print 'Used the cpu'
else:
print 'Used the gpu'
Running this version of the code takes just over 0.05 seconds, that is 60x faster than
the CPU implementation!
.. code-block:: text
With *flag* ``borrow=False``:
$ THEANO_FLAGS=mode=FAST_RUN,device=gpu,floatX=float32 python using_gpu_solution_1.py
Using gpu device 0: GeForce GTX 580
[GpuElemwise{exp,no_inplace}(<CudaNdarrayType(float32, vector)>)]
Looping 1000 times took 0.31614613533 seconds
Result is <CudaNdarray object at 0x77e9270>
Numpy result is [ 1.23178029 1.61879349 1.52278066 ..., 2.20771813 2.29967761
1.62323296]
Used the gpu
With *flag* ``borrow=True``:
$ THEANO_FLAGS=mode=FAST_RUN,device=gpu,floatX=float32 python using_gpu_solution_1.py
Using gpu device 0: GeForce GTX 580
[GpuElemwise{exp,no_inplace}(<CudaNdarrayType(float32, vector)>)]
Looping 1000 times took 0.0502779483795 seconds
Result is <CudaNdarray object at 0x83e5cb0>
Numpy result is [ 1.23178029 1.61879349 1.52278066 ..., 2.20771813 2.29967761
1.62323296]
Used the gpu
This version of the code including the flag ``borrow=True`` is slightly less safe because if we had saved
the *r* returned from one function call, we would have to take care and remember that its value might
be over-written by a subsequent function call. Although ``borrow=True`` makes a dramatic difference
in this example, be careful! The advantage of ``borrow=True`` is much weaker in larger graphs, and
there is a lot of potential for making a mistake by failing to account for the resulting memory aliasing.
For even more speed you can play with the ``borrow`` flag. See
:ref:`borrowfunction`.
What Can Be Accelerated on the GPU What Can Be Accelerated on the GPU
---------------------------------- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The performance characteristics will change as we continue to optimize our The performance characteristics will change as we continue to optimize our
implementations, and vary from device to device, but to give a rough idea of implementations, and vary from device to device, but to give a rough idea of
...@@ -257,7 +179,7 @@ what to expect right now: ...@@ -257,7 +179,7 @@ what to expect right now:
the device pay off. the device pay off.
Tips for Improving Performance on GPU Tips for Improving Performance on GPU
------------------------------------- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
* Consider * Consider
adding ``floatX=float32`` to your ``.theanorc`` file if you plan to do a lot of adding ``floatX=float32`` to your ``.theanorc`` file if you plan to do a lot of
...@@ -296,7 +218,7 @@ Tips for Improving Performance on GPU ...@@ -296,7 +218,7 @@ Tips for Improving Performance on GPU
.. _gpu_async: .. _gpu_async:
GPU Async capabilities GPU Async capabilities
---------------------- ~~~~~~~~~~~~~~~~~~~~~~
Ever since Theano 0.6 we started to use the asynchronous capability of Ever since Theano 0.6 we started to use the asynchronous capability of
GPUs. This allows us to be faster but with the possibility that some GPUs. This allows us to be faster but with the possibility that some
...@@ -314,7 +236,7 @@ as it inserts synchronization points in the graph. Set the Theano flag ...@@ -314,7 +236,7 @@ as it inserts synchronization points in the graph. Set the Theano flag
usage. usage.
Changing the Value of Shared Variables Changing the Value of Shared Variables
-------------------------------------- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
To change the value of a ``shared`` variable, e.g. to provide new data to processes, To change the value of a ``shared`` variable, e.g. to provide new data to processes,
use ``shared_variable.set_value(new_value)``. For a lot more detail about this, use ``shared_variable.set_value(new_value)``. For a lot more detail about this,
...@@ -322,7 +244,7 @@ see :ref:`aliasing`. ...@@ -322,7 +244,7 @@ see :ref:`aliasing`.
Exercise Exercise
======== ++++++++
Consider again the logistic regression: Consider again the logistic regression:
...@@ -418,6 +340,193 @@ What can be done to further increase the speed of the GPU version? Put your idea ...@@ -418,6 +340,193 @@ What can be done to further increase the speed of the GPU version? Put your idea
:download:`Solution<using_gpu_solution_1.py>` :download:`Solution<using_gpu_solution_1.py>`
-------------------------------------------
.. _gpuarray:
GpuArray Backend
----------------
If you have not done so already, you will need to install libgpuarray
as well as at least one computing toolkit. Instructions for doing so
are provided at `libgpuarray <http://deeplearning.net/software/libgpuarray/installation.html>`_.
While all types of devices are supported if using OpenCL, for the
remainder of this section, whatever compute device you are using will
be referred to as GPU.
.. warning::
While it is fully our intention to support OpenCL, as of May 2014
this support is still in its infancy. A lot of very useful ops
still do not support it because they were ported from the old
backend with minimal change.
Testing Theano with GPU
~~~~~~~~~~~~~~~~~~~~~~~
To see if your GPU is being used, cut and paste the following program
into a file and run it.
.. code-block:: python
from theano import function, config, shared, tensor, sandbox
import numpy
import time
vlen = 10 * 30 * 768 # 10 x #cores x # threads per core
iters = 1000
rng = numpy.random.RandomState(22)
x = shared(numpy.asarray(rng.rand(vlen), config.floatX))
f = function([], tensor.exp(x))
print f.maker.fgraph.toposort()
t0 = time.time()
for i in xrange(iters):
r = f()
t1 = time.time()
print 'Looping %d times took' % iters, t1 - t0, 'seconds'
print 'Result is', r
if numpy.any([isinstance(x.op, tensor.Elemwise) and
('Gpu' not in type(x.op).__name__)
for x in f.maker.fgraph.toposort()]):
print 'Used the cpu'
else:
print 'Used the gpu'
The program just compute ``exp()`` of a bunch of random numbers. Note
that we use the :func:`theano.shared` function to make sure that the
input *x* is stored on the GPU.
.. code-block:: text
$ THEANO_FLAGS=device=cpu python check1.py
[Elemwise{exp,no_inplace}(<TensorType(float64, vector)>)]
Looping 1000 times took 2.6071999073 seconds
Result is [ 1.23178032 1.61879341 1.52278065 ..., 2.20771815 2.29967753
1.62323285]
Used the cpu
$ THEANO_FLAGS=device=cuda0 python check1.py
Using device cuda0: GeForce GTX 275
[GpuElemwise{exp,no_inplace}(<GpuArray<float64>>), HostFromGpu(gpuarray)(GpuElemwise{exp,no_inplace}.0)]
Looping 1000 times took 2.28562092781 seconds
Result is [ 1.23178032 1.61879341 1.52278065 ..., 2.20771815 2.29967753
1.62323285]
Used the gpu
Returning a Handle to Device-Allocated Data
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
By default functions that execute on the GPU still return a standard
numpy ndarray. A transfer operation is inserted just before the
results are returned to ensure a consistent interface with CPU code.
This allows changing the deivce some code runs on by only replacing
the value of the ``device`` flag without touching the code.
If you don't mind a loss of flexibility, you can ask theano to return
the GPU object directly. The following code is modifed to do just that.
.. code-block:: python
:emphasize-lines: 10,17
from theano import function, config, shared, tensor, sandbox
import numpy
import time
vlen = 10 * 30 * 768 # 10 x #cores x # threads per core
iters = 1000
rng = numpy.random.RandomState(22)
x = shared(numpy.asarray(rng.rand(vlen), config.floatX))
f = function([], sandbox.gpuarray.basic_ops.gpu_from_host(tensor.exp(x)))
print f.maker.fgraph.toposort()
t0 = time.time()
for i in xrange(iters):
r = f()
t1 = time.time()
print 'Looping %d times took' % iters, t1 - t0, 'seconds'
print 'Result is', numpy.asarray(r)
if numpy.any([isinstance(x.op, tensor.Elemwise) and
('Gpu' not in type(x.op).__name__)
for x in f.maker.fgraph.toposort()]):
print 'Used the cpu'
else:
print 'Used the gpu'
Here the :func:`theano.sandbox.gpuarray.basic.gpu_from_host` call
means "copy input to the GPU". However during the optimization phase,
since the result will already be on th gpu, it will be removed. It is
used here to tell theano that we want the result on the GPU.
The output is
.. code-block:: text
$ THEANO_FLAGS=device=cuda0 python check2.py
Using device cuda0: GeForce GTX 275
[GpuElemwise{exp,no_inplace}(<GpuArray<float64>>)]
Looping 1000 times took 0.455810785294 seconds
Result is [ 1.23178032 1.61879341 1.52278065 ..., 2.20771815 2.29967753
1.62323285]
Used the gpu
While the time per call appears to be much lower than the two previous
invocations (and should indeed be lower, since we avoid a transfer)
the massive speedup we obtained is in part due to asynchronous nature
of execution on GPUs, meaning that the work isn't completed yet, just
'launched'. We'll talk about that later.
The object returned is a GpuArray from pygpu. It mostly acts as a
numpy ndarray with some exceptions due to its data being on the GPU.
You can copy it to the host and convert it to a regular ndarray by
using usual numpy casting such as ``numpy.asarray()``.
For even more speed, you can play with the ``borrow`` flag. See
:ref:`borrowfunction`.
What Can be Accelerated on the GPU
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The performance characteristics will of course vary from device to
device, and also as we refine our implementation.
This backend supports all regular theano data types (float32, float64,
int, ...) however GPU support varies and some units can't deal with
double (float64) or small (less than 32 bits like int16) data types.
You will get an error at compile time or runtime if this is the case.
Complex support is untested and most likely completely broken.
In general, large operations like matrix multiplication, or
element-wise operations with large inputs, will be significatly
faster.
GPU Async Capabilities
~~~~~~~~~~~~~~~~~~~~~~
By default, all operations on the GPU are run asynchronously. This
means that they are only scheduled to run and the function returns.
This is made somewhat transparently by the underlying libgpuarray.
A forced synchronization point is introduced when doing memory
transfers between device and host. Another is introduced when
releasing active memory buffers on the GPU (active buffers are buffers
that are still in use by a kernel).
It is possible to force synchronization for a particular GpuArray by
calling its ``sync()`` method. This is useful to get accurate timings
when doing benchmarks.
The forced synchronization points interact with the garbage collection
of the intermediate results. To get the fastest speed possible, you
should disable the garbage collector by using the theano flag
``allow_gc=False``. Be aware that this will increase memory usage
sometimes significantly.
------------------------------------------- -------------------------------------------
...@@ -553,7 +662,7 @@ you feel competent enough, you may try yourself on the corresponding exercises. ...@@ -553,7 +662,7 @@ you feel competent enough, you may try yourself on the corresponding exercises.
Exercise Exercise
======== ~~~~~~~~
Run the preceding example. Run the preceding example.
...@@ -616,8 +725,7 @@ Use this code to test it: ...@@ -616,8 +725,7 @@ Use this code to test it:
Exercise Exercise
======== ~~~~~~~~
Run the preceding example. Run the preceding example.
......
...@@ -24,6 +24,7 @@ class OpFromGraph(gof.Op): ...@@ -24,6 +24,7 @@ class OpFromGraph(gof.Op):
- Add support for the GPU? Probably just need an opt to remove transfer - Add support for the GPU? Probably just need an opt to remove transfer
- Add support to pickle this Op. - Add support to pickle this Op.
- Add support/test with random generator - Add support/test with random generator
:note: :note:
- We support shared variables in the inner graph. This is automatic and - We support shared variables in the inner graph. This is automatic and
invisible to the user. They can be as input to the node or in the invisible to the user. They can be as input to the node or in the
......
...@@ -490,6 +490,7 @@ def register_rebroadcast_c_code(typ, code, version=()): ...@@ -490,6 +490,7 @@ def register_rebroadcast_c_code(typ, code, version=()):
%(oname)s for the input and output C variable names %(oname)s for the input and output C variable names
respectively. %(axis)s for the axis that we need to respectively. %(axis)s for the axis that we need to
check. This code is put in a loop for all axis check. This code is put in a loop for all axis
:param version: A number indicating the version of the code, for cache. :param version: A number indicating the version of the code, for cache.
""" """
Rebroadcast.c_code_and_version[typ] = (code, version) Rebroadcast.c_code_and_version[typ] = (code, version)
...@@ -497,14 +498,18 @@ def register_rebroadcast_c_code(typ, code, version=()): ...@@ -497,14 +498,18 @@ def register_rebroadcast_c_code(typ, code, version=()):
class Rebroadcast(gof.Op): class Rebroadcast(gof.Op):
""" """
Change the input's broadcastable fields in Change the input's broadcastable fields in some predetermined way.
some predetermined way.
e.g.: Rebroadcast((0, True), (1, False))(x) :code:`Rebroadcast((0, True), (1, False))(x)` would make :code:`x`
would make x broadcastable in axis 0 broadcastable in axis 0 and not broadcastable in axis 1
and not broadcastable in axis 1
See also the unbroadcast, addbroadcast and patternbroadcast functions. .. seealso::
..note: work inplace and work for CudaNdarrayType :func:`unbroadcast <theano.tensor.unbroadcast>`
:func:`addbroadcast <theano.tensor.addbroadcast>`
:func:`patternbroadcast <theano.tensor.patternbroadcast>`
..note: works inplace and works for CudaNdarrayType
""" """
view_map = {0: [0]} view_map = {0: [0]}
# Mapping from Type to C code (and version) to use. # Mapping from Type to C code (and version) to use.
......
...@@ -95,13 +95,13 @@ def memoize(f): ...@@ -95,13 +95,13 @@ def memoize(f):
def deprecated(filename, msg=''): def deprecated(filename, msg=''):
"""Decorator which will print a warning message on the first call. """Decorator which will print a warning message on the first call.
Use it like this: Use it like this::
@deprecated('myfile', 'do something different...') @deprecated('myfile', 'do something different...')
def fn_name(...) def fn_name(...)
... ...
And it will print And it will print::
WARNING myfile.fn_name deprecated. do something different... WARNING myfile.fn_name deprecated. do something different...
......
...@@ -546,59 +546,65 @@ def grad(cost, wrt, consider_constant=None, ...@@ -546,59 +546,65 @@ def grad(cost, wrt, consider_constant=None,
def subgraph_grad(wrt, end, start=None, cost=None, details=False): def subgraph_grad(wrt, end, start=None, cost=None, details=False):
''' '''
With respect to `wrt`, computes gradients of cost and/or from existing With respect to `wrt`, computes gradients of cost and/or from
`start` gradients, up to the `end` variables of a symbolic digraph. existing `start` gradients, up to the `end` variables of a
In other words, computes gradients for a subgraph of the symbolic digraph. In other words, computes gradients for a
symbolic theano function. Ignores all disconnected inputs. subgraph of the symbolic theano function. Ignores all disconnected
inputs.
This can be useful when one needs to perform the gradient descent This can be useful when one needs to perform the gradient descent
iteratively (e.g. one layer at a time in an MLP), or when a particular iteratively (e.g. one layer at a time in an MLP), or when a
operation is not differentiable in theano (e.g. stochastic sampling particular operation is not differentiable in theano
from a multinomial). In the latter case, the gradient of the (e.g. stochastic sampling from a multinomial). In the latter case,
non-differentiable process could be approximated by user-defined the gradient of the non-differentiable process could be
formula, which could be calculated using the gradients of a cost approximated by user-defined formula, which could be calculated
with respect to samples (0s and 1s). These gradients are obtained using the gradients of a cost with respect to samples (0s and
by performing a subgraph_grad from the `cost` or previously known gradients 1s). These gradients are obtained by performing a subgraph_grad
(`start`) up to the outputs of the stochastic process (`end`). from the `cost` or previously known gradients (`start`) up to the
A dictionary mapping gradients obtained from the user-defined outputs of the stochastic process (`end`). A dictionary mapping
differentiation of the process, to variables, could then be fed into gradients obtained from the user-defined differentiation of the
another subgraph_grad as `start` with any other `cost` (e.g. weight decay). process, to variables, could then be fed into another
subgraph_grad as `start` with any other `cost` (e.g. weight
:type wrt : List of Variables. decay).
:type wrt: list of variables
:param wrt:
Gradients are computed with respect to `wrt`. Gradients are computed with respect to `wrt`.
:type end : List of Variables. :type end: list of variables
Theano variables at which to end gradient descent :param end:
(they are considered constant in theano.grad). Theano variables at which to end gradient descent (they are
For convenience, the gradients with respect to these variables considered constant in theano.grad). For convenience, the
are also returned. gradients with respect to these variables are also returned.
:type start : Dictionary of Variables :type start: dictionary of variables
:param start: If not None, a dictionary mapping variables to :param start:
their gradients. This is useful when the gradient on some If not None, a dictionary mapping variables to their
variables are known. These are used to compute the gradients gradients. This is useful when the gradient on some variables
backwards up to the variables in `end` are known. These are used to compute the gradients backwards up
(they are used as known_grad in theano.grad). to the variables in `end` (they are used as known_grad in
theano.grad).
:type cost: Scalar (0-dimensional) Variable.
:type cost: scalar (0-dimensional) variable
:param cost: :param cost:
Additional costs for which to compute the gradients. Additional costs for which to compute the gradients. For
For example, these could be weight decay, an l1 constraint, example, these could be weight decay, an l1 constraint, MSE,
MSE, NLL, etc. May optionally be None if start is provided. NLL, etc. May optionally be None if start is provided. Warning
Warning : If the gradients of `cost` with respect to any : If the gradients of `cost` with respect to any of the `start`
of the `start` variables is already part of the `start` variables is already part of the `start` dictionary, then it may
dictionary, then it may be counted twice with respect to `wrt` be counted twice with respect to `wrt` and `end`.
and `end`.
:type details: bool
:type details: bool. :param details:
:param details: When True, additionally returns the When True, additionally returns the list of gradients from
list of gradients from `start` and of `cost`, respectively, `start` and of `cost`, respectively, with respect to `wrt` (not
with respect to `wrt` (not `end`). `end`).
:rtype: Tuple of 2 or 4 Lists of Variables :rtype: Tuple of 2 or 4 Lists of Variables
:return: Returns lists of gradients with respect to `wrt` and `end`, :return: Returns lists of gradients with respect to `wrt` and `end`,
respectively. respectively.
''' '''
assert ((cost is not None) or (start is not None)) assert ((cost is not None) or (start is not None))
assert isinstance(end, list) assert isinstance(end, list)
......
...@@ -999,8 +999,9 @@ def guess_n_streams(size, warn=True): ...@@ -999,8 +999,9 @@ def guess_n_streams(size, warn=True):
""" """
Return a guess at a good number of streams. Return a guess at a good number of streams.
:param warn: If True, warn when a guess cannot be made (in which case :param warn:
we return 60 * 256). If True, warn when a guess cannot be made (in which case we
return 60 * 256).
""" """
# TODO: a smart way of choosing the number of streams, see #612. # TODO: a smart way of choosing the number of streams, see #612.
# Note that this code was moved out of `MRG_RandomStreams` so that it can # Note that this code was moved out of `MRG_RandomStreams` so that it can
...@@ -1134,20 +1135,25 @@ class MRG_RandomStreams(object): ...@@ -1134,20 +1135,25 @@ class MRG_RandomStreams(object):
ndim may be a plain integer to supplement the missing ndim may be a plain integer to supplement the missing
information. information.
:param low: Lower bound of the interval on which values are sampled. :param low:
If the ``dtype`` arg is provided, ``low`` will be cast into dtype. Lower bound of the interval on which values are sampled. If
This bound is excluded. the ``dtype`` arg is provided, ``low`` will be cast into
dtype. This bound is excluded.
:param high: Higher bound of the interval on which values are sampled. :param high:
If the ``dtype`` arg is provided, ``high`` will be cast into dtype. Higher bound of the interval on which values are sampled.
This bound is excluded. If the ``dtype`` arg is provided, ``high`` will be cast into
dtype. This bound is excluded.
:param size: Can be a list of integer or Theano variable :param size:
(ex: the shape of other Theano Variable) Can be a list of integer or Theano variable (ex: the shape
of other Theano Variable)
:param dtype:
The output data type. If dtype is not specified, it will be
inferred from the dtype of low and high, but will be at
least as precise as floatX.
:param dtype: The output data type. If dtype is not specified, it will
be inferred from the dtype of low and high, but will be at least as
precise as floatX.
""" """
low = as_tensor_variable(low) low = as_tensor_variable(low)
high = as_tensor_variable(high) high = as_tensor_variable(high)
...@@ -1274,14 +1280,18 @@ class MRG_RandomStreams(object): ...@@ -1274,14 +1280,18 @@ class MRG_RandomStreams(object):
def normal(self, size, avg=0.0, std=1.0, ndim=None, def normal(self, size, avg=0.0, std=1.0, ndim=None,
dtype=None, nstreams=None): dtype=None, nstreams=None):
""" """
:param size: Can be a list of integers or Theano variables (ex: the :param size:
shape of another Theano Variable) Can be a list of integers or Theano variables (ex: the shape
of another Theano Variable)
:param dtype:
The output data type. If dtype is not specified, it will be
inferred from the dtype of low and high, but will be at
least as precise as floatX.
:param dtype: The output data type. If dtype is not specified, it will :param nstreams:
be inferred from the dtype of low and high, but will be at least as Number of streams.
precise as floatX.
:param nstreams: Number of streams.
""" """
# We need an even number of ]0,1[ samples. Then we split them # We need an even number of ]0,1[ samples. Then we split them
# in two halves. First half becomes our U1's for Box-Muller, # in two halves. First half becomes our U1's for Box-Muller,
......
...@@ -66,8 +66,10 @@ class Conv3D(theano.Op): ...@@ -66,8 +66,10 @@ class Conv3D(theano.Op):
b_ = T.as_tensor_variable(b) b_ = T.as_tensor_variable(b)
d_ = T.as_tensor_variable(d) d_ = T.as_tensor_variable(d)
node = theano.Apply(self, inputs=[V_, W_,b_,d_], outputs = [ T.TensorType(V_.dtype, (V_.broadcastable[0],False,False,False, W_.broadcastable[0]))() ] ) bcast = (V_.broadcastable[0], False, False, False, W_.broadcastable[0])
node = theano.Apply(self, inputs=[V_, W_, b_, d_],
outputs=[T.TensorType(V_.dtype, bcast)()])
return node return node
...@@ -118,8 +120,6 @@ class Conv3D(theano.Op): ...@@ -118,8 +120,6 @@ class Conv3D(theano.Op):
dCdW.name = 'Conv3D_dCdW(dCdH='+dCdH_name+',V='+V_name+',W='+W_name+')' dCdW.name = 'Conv3D_dCdW(dCdH='+dCdH_name+',V='+V_name+',W='+W_name+')'
dCdb.name = 'Conv3D_dCdb(dCdH='+dCdH_name+',V='+V_name+',W='+W_name+',b='+b_name+')' dCdb.name = 'Conv3D_dCdb(dCdH='+dCdH_name+',V='+V_name+',W='+W_name+',b='+b_name+')'
return [ dCdV, dCdW, dCdb, dCdd ] return [ dCdV, dCdW, dCdb, dCdd ]
def perform(self, node, inputs, output_storage): def perform(self, node, inputs, output_storage):
...@@ -149,8 +149,7 @@ class Conv3D(theano.Op): ...@@ -149,8 +149,7 @@ class Conv3D(theano.Op):
rval = (batch_size, output_height, output_width, output_dur, output_channels ) rval = (batch_size, output_height, output_width, output_dur, output_channels )
return [rval]
return [ rval ]
def c_support_code(self): def c_support_code(self):
return blas_header_text() return blas_header_text()
...@@ -174,7 +173,6 @@ class Conv3D(theano.Op): ...@@ -174,7 +173,6 @@ class Conv3D(theano.Op):
H = outputs[0] H = outputs[0]
codeSource = """ codeSource = """
///////////// < code generated by Conv3D > ///////////// < code generated by Conv3D >
...@@ -279,7 +277,6 @@ class Conv3D(theano.Op): ...@@ -279,7 +277,6 @@ class Conv3D(theano.Op):
const long long outputWidth = int( (vidWidth - filterWidth) / dc )+1; const long long outputWidth = int( (vidWidth - filterWidth) / dc )+1;
const long long outputDur = int( (vidDur - filterDur) / dt ) +1; const long long outputDur = int( (vidDur - filterDur) / dt ) +1;
npy_intp dims[5]; npy_intp dims[5];
dims[0] = batchSize; dims[0] = batchSize;
dims[4] = outputChannels; dims[4] = outputChannels;
...@@ -287,8 +284,6 @@ class Conv3D(theano.Op): ...@@ -287,8 +284,6 @@ class Conv3D(theano.Op):
dims[2] = outputWidth; dims[2] = outputWidth;
dims[3] = outputDur; dims[3] = outputDur;
if(!(%(H)s) || PyArray_DIMS(%(H)s)[0]!=dims[0] || if(!(%(H)s) || PyArray_DIMS(%(H)s)[0]!=dims[0] ||
PyArray_DIMS(%(H)s)[1]!=dims[1] || PyArray_DIMS(%(H)s)[1]!=dims[1] ||
PyArray_DIMS(%(H)s)[2]!=dims[2] || PyArray_DIMS(%(H)s)[2]!=dims[2] ||
...@@ -303,10 +298,8 @@ class Conv3D(theano.Op): ...@@ -303,10 +298,8 @@ class Conv3D(theano.Op):
} }
{ // extra scope so fail works { // extra scope so fail works
#define ELEM_AT(x, i) * ( dtype_ ## x *) ( PyArray_BYTES(x) + (i) ) #define ELEM_AT(x, i) * ( dtype_ ## x *) ( PyArray_BYTES(x) + (i) )
const int ws0 = PyArray_STRIDES(%(W)s)[0]; const int ws0 = PyArray_STRIDES(%(W)s)[0];
const int ws1 = PyArray_STRIDES(%(W)s)[1]; const int ws1 = PyArray_STRIDES(%(W)s)[1];
const int ws2 = PyArray_STRIDES(%(W)s)[2]; const int ws2 = PyArray_STRIDES(%(W)s)[2];
...@@ -319,22 +312,14 @@ class Conv3D(theano.Op): ...@@ -319,22 +312,14 @@ class Conv3D(theano.Op):
const int bs = PyArray_STRIDES(%(b)s)[0]; const int bs = PyArray_STRIDES(%(b)s)[0];
const int hs4 = PyArray_STRIDES(%(H)s)[4]; const int hs4 = PyArray_STRIDES(%(H)s)[4];
// Compute H // Compute H
//H[i,j,x,y,t] = b_j + sum_k sum_l sum_m sum_z W[j,z,k,l,m] V[i,z, dr*r+k,dc*c+l,dt*t+m] //H[i,j,x,y,t] = b_j + sum_k sum_l sum_m sum_z W[j,z,k,l,m] V[i,z, dr*r+k,dc*c+l,dt*t+m]
//TODO: add special cases //TODO: add special cases
// ex: filterDur == 1 && batchSize == 1 && dt = 1 (for SFA) // ex: filterDur == 1 && batchSize == 1 && dt = 1 (for SFA)
// ex: inputChannels == 1 """ // ex: inputChannels == 1 """
# if the data types are not mixed, we can insert special case
# optimizations based on BLAS
#if the data types are not mixed, we can insert special case optimizations based on BLAS
VV, WV, bv, dv = node.inputs VV, WV, bv, dv = node.inputs
HV = node.outputs[0] HV = node.outputs[0]
if (theano.config.blas.ldflags and if (theano.config.blas.ldflags and
...@@ -546,7 +531,7 @@ class Conv3D(theano.Op): ...@@ -546,7 +531,7 @@ class Conv3D(theano.Op):
return strutil.render_string(codeSource,locals()) return strutil.render_string(codeSource,locals())
global conv3D
conv3D = Conv3D() conv3D = Conv3D()
""" """
3D "convolution" of multiple filters on a minibatch 3D "convolution" of multiple filters on a minibatch
......
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