Documentation for v0.1 version (#199)
* Adding Equations, solving typos * improve _code.rst * the team rst and restuctore index.rst * fixing errors --------- Co-authored-by: Dario Coscia <dariocoscia@dhcp-015.eduroam.sissa.it>
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Nicola Demo
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@@ -21,16 +21,15 @@ First of all we import the modules needed for the tutorial:
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import torchvision # for MNIST dataset
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from pina.model import FeedForward # for building AE and MNIST classification
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The tutorial is structured as follow: \* `Continuous filter
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background <#continuous-filter-background>`__: understand how the
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convolutional filter works and how to use it. \* `Building a MNIST
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Classifier <#building-a-mnist-classifier>`__: show how to build a simple
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classifier using the MNIST dataset and how to combine a continuous
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convolutional layer with a feedforward neural network. \* `Building a
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Continuous Convolutional
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Autoencoder <#building-a-continuous-convolutional-autoencoder>`__: show
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how to use the continuous filter to work with unstructured data for
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autoencoding and up-sampling.
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The tutorial is structured as follow:
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* `Continuous filter background <#continuous-filter-background>`__: understand how the convolutional filter works and how to use it.
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* `Building a MNIST Classifier <#building-a-mnist-classifier>`__: show how to build a simple
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classifier using the MNIST dataset and how to combine a continuous
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convolutional layer with a feedforward neural network.
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* `Building a Continuous Convolutional Autoencoder <#building-a-continuous-convolutional-autoencoder>`__: show
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show to use the continuous filter to work with unstructured data for
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autoencoding and up-sampling.
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Continuous filter background
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----------------------------
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@@ -153,13 +152,16 @@ where to go. Here is an example for the :math:`[0,1]\times[0,5]` domain:
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"direction": [1, 1],
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}
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This tells the filter: 1. ``domain``: square domain (the only
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implemented) :math:`[0,1]\times[0,5]`. The minimum value is always zero,
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while the maximum is specified by the user 2. ``start``: start position
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of the filter, coordinate :math:`(0, 0)` 3. ``jump``: the jumps of the
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centroid of the filter to the next position :math:`(0.1, 0.3)` 4.
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``direction``: the directions of the jump, with ``1 = right``,
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``0 = no jump``,\ ``-1 = left`` with respect to the current position
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This tells the filter:
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1. ``domain``: square domain (the only implemented) :math:`[0,1]\times[0,5]`. The minimum value is always zero,
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while the maximum is specified by the user
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2. ``start``: start position
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of the filter, coordinate :math:`(0, 0)`
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3. ``jump``: the jumps of the
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centroid of the filter to the next position :math:`(0.1, 0.3)`
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4. ``direction``: the directions of the jump, with ``1 = right``,
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``0 = no jump``,\ ``-1 = left`` with respect to the current position
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**Note**
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@@ -170,9 +172,7 @@ Filter definition
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~~~~~~~~~~~~~~~~~
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Having defined all the previous blocks we are able to construct the
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continuous filter.
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Suppose we would like to get an ouput with only one field, and let us
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continuous filter. Suppose we would like to get an ouput with only one field, and let us
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fix the filter dimension to be :math:`[0.1, 0.1]`.
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.. code:: ipython3
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@@ -192,13 +192,7 @@ fix the filter dimension to be :math:`[0.1, 0.1]`.
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output_numb_field=1,
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filter_dim=filter_dim,
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stride=stride)
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.. parsed-literal::
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/u/d/dcoscia/.local/lib/python3.9/site-packages/torch/functional.py:504: UserWarning: torch.meshgrid: in an upcoming release, it will be required to pass the indexing argument. (Triggered internally at ../aten/src/ATen/native/TensorShape.cpp:3483.)
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return _VF.meshgrid(tensors, **kwargs) # type: ignore[attr-defined]
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That’s it! In just one line of code we have created the continuous
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convolutional filter. By default the ``pina.model.FeedForward`` neural
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