======== Tutorial ======== This page provides a step-by-step walkthrough of the basic features of NNGT. To run this tutorial, it is recommended to use either IPython_ or Jupyter_, since they will provide automatic autocompletion of the various functions, as well as easy access to the docstring help. First, import the NNGT package: >>> import nngt Then, you will be able to use the help from IPython by typing, for instance: >>> nngt.Graph? In Jupyter, the docstring can be viewed using Shift+Tab. **Content:** .. contents:: :local: NNGT properties and configuration ================================= Upon loading, NNGT will display its current configuration, e.g.: :: # ----------- # # NNGT loaded # # ----------- # Graph library: igraph 0.7.1 Multithreading: True (1 thread) MPI: False Plotting: True NEST support: NEST 2.14.0 Shapely: 1.6.1 SVG support: True DXF support: False Database: False Let's walk through this configuration: * the backend used here is ``igraph``, so all graph-theoretical tools will be derived from those of the igraph_ library and we're using version 0.7.1. * Multithreaded algorithms will be used, currently running on only one thread (see :ref:`Multithreading` for more details) * MPI algorithms are not in use (you cannot use both MT and MPI at the same time) * Plotting is available because the matplotlib_ library is installed * NEST is installed on the machine (version 2.14), so NNGT automatically loaded it * Shapely_ is also available, which allows the creation of complex structures for space-embedded networks (see :ref:`Geometry module` for more details) * Importing SVG files to generate spatial structures is possible, meaning that the `svg.path`_ module is installed. * Importing DXF files to generate spatial structures is not possible because the dxfgrabber_ module is not installed. * Using the database is not possible because peewee_ is not installed. In general, most of NNGT options can be found/set through the :func:`~nngt.get_config`/:func:`~nngt.set_config` functions, or made permanent by modifying the ``~/.nngt/nngt.conf`` configuration file. The ``Graph`` object ==================== Basic functions --------------- Let's create an empty :class:`~nngt.Graph`: >>> g = nngt.Graph() We can then add some nodes to it >>> g.new_node(10) # create nodes 0, 1, ... to 9 >>> g.node_nb() # returns 10 And create edges between these nodes: >>> g.new_edge(1, 4) # create on connection going from 11 to 56 >>> g.edge_nb() # returns 1 >>> g.new_edges([(0, 3), (5, 9), (9, 3)]) >>> g.edge_nb() # returns 4 Node and edge attributes ------------------------ Adding a node with specific attributes: :: g2 = nngt.Graph() g2.new_node(attributes={'size': 2., 'color': 'blue'}, value_types={'size': 'double', 'color': 'string'}) print(g2.node_attributes) Adding several: :: g2.new_node(3, attributes={'size': [4., 5., 1.], 'color': ['r', 'g', 'b']}, value_types={'size': 'double', 'color': 'string'}) print(g2.node_attributes) Attributes can also be created afterwards: :: import numpy as np g3 = nngt.Graph(nodes=100) g3.new_node_attribute('size', 'double', values=np.random.uniform(0, 20, 100)) g3.node_attributes All the previous techniques can also be used with :func:`~nngt.Graph.new_edge` or :func:`~nngt.Graph.new_edges`, and :func:`~nngt.Graph.new_edge_attribute`. Note that attributes can also be set selectively: :: edges = g3.new_edges(np.random.randint(0, 100, (50, 2))) g3.new_edge_attribute('rank', 'int', val=0) g3.set_edge_attribute('rank', val=2, edges=edges[:3, :]) g3.edge_attributes Generating and analyzing more complex networks ============================================== NNGT provides a whole set of methods to connect nodes in specific fashions inside a graph. These methods are present in the :mod:`nngt.generation` module, and the network properties can then be plotted and analyzed via the tools present in the :mod:`nngt.plot` and :mod:`nngt.analysis` modules. :: from nngt import generation as ng from nngt import analysis as na from nngt import plot as nplt NNGT implements some fast generation tools to create several of the standard networks, such as Erdős-Rényi :: g = ng.erdos_renyi(nodes=1000, avg_deg=100) nplt.degree_distribution(g, ('in', 'total')) print(na.clustering(g)) More heterogeneous networks, with scale-free degree distribution (but no correlations like in Barabasi-Albert networks and user-defined exponents) are also implemented: :: g = ng.random_scale_free(1.8, 3.2, nodes=1000, avg_deg=100) nplt.degree_distribution(g, ('in', 'out'), num_bins=30, logx=True, logy=True, show=True) print("Clustering: {}".format(na.clustering(g))) Using random numbers ==================== By default, NNGT uses the `numpy` random-number generators (RNGs) which are seeded automatically when `numpy` is loaded. However, you can seed the RNGs manually using the following command: :: nngt.set_config("msd", 0) which will seed the master seed to 0 (or any other value you enter). Once seeded manually, a NNGT script will always give the same results provided the same number of thread is being used. Indeed, when using multithreading, sub-RNGs are used (one per thread). By default, these RNGs are seeded from the master seed as `msd + n + 1` where `n` is the thread number, starting from zero. If needed, these sub-RNGs can also be seeded manually using (for 4 threads) :: nngt.set_config("seeds", [1, 2, 3, 4]) .. warning :: When using NEST, the simulator's RNGs must be seeded separately using the NEST commands; see the `NEST user manual `_ for details. Complex populations: :class:`~nngt.NeuralGroup` and :class:`~nngt.NeuralPop` ============================================================================ The :class:`~nngt.NeuralGroup` allows the creation of nodes that belong together. You can then make a population from these groups and connect them with specific connectivities using the :func:`~nngt.generation.connect_neural_groups` function. .. literalinclude:: ../examples/multi_groups_network.py :lines: 32-63 Real neuronal culture and NEST interaction: the :class:`~nngt.Network` ====================================================================== Besides connectivity, the main interest of the :class:`~nngt.NeuralGroup` is that you can pass it the biological properties that the neurons belonging to this group will share. Since we are using NEST, these properties are: * the model's name * its non-default properties * the synapses that the neurons have and their properties * the type of the neurons (``1`` for excitatory or ``-1`` for inhibitory) .. literalinclude:: ../examples/nest_network.py :lines: 29-68 Once this network is created, it can simply be sent to nest through the command: ``gids = net.to_nest()``, and the NEST gids are returned. In order to access the gids from each group, you can do: :: oscill_gids = net.nest_gid[oscill.ids] Using the graph library of the NNGT object ========================================== As mentionned in the installation and introduction, NNGT uses existing graph library objects to store the graph. The library was designed so that most of the functions of the underlying graph library can be used directly on the :class:`~nngt.Graph` object. .. warning:: One notable exception to this behaviour relates to the creation and deletion of nodes or edges, for which you have to use the functions provided by NNGT. As a general rule, any operation that might alter the graph structure should be done through NNGT and never directly using the underlying library. Apart from this, you can use any analysis or drawing tool from the graph library. Example using graph-tool ------------------------ >>> import graph_tool as gt >>> import matplotlib.pyplot as plt >>> print(gt.centrality.closeness(g, harmonic=True)) >>> gt.draw.graph_draw(g) >>> nngt.plot.draw_network(g) >>> plt.show() Example using igraph -------------------- >>> import igraph as ig >>> import matplotlib.pyplot as plt >>> print(g.closeness(mode='out')) >>> ig.plot(g) >>> nngt.plot.draw_network(g) >>> plt.show() Example using networkx ---------------------- >>> import networkx as nx >>> import matplotlib.pyplot as plt >>> print(nx.closeness_centrality(g)) >>> nx.draw(g) >>> nngt.plot.draw_network(g) >>> plt.show() .. note:: People testing these 3 codes will notice that all closeness results are different (though I made sure the functions of each libraries worked on the same outgoing edges)! This example is given voluntarily to remind you, when using these libraries, to check that they indeed compute what you think they do. And even when they compute it, check how they do it! .. References .. _IPython: http://ipython.org/ .. _Jupyter: https://jupyter.org/ .. _Shapely: http://toblerity.org/shapely/manual.html .. _dxfgrabber: https://pythonhosted.org/dxfgrabber/ .. _igraph: http://igraph.org/ .. _matplotlib: https://matplotlib.org/ .. _peewee: http://docs.peewee-orm.com/en/latest/ .. _`svg.path`: https://pypi.python.org/pypi/svg.path