Chapter 12 - Decision Based Models.ipynb

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    "<span>\n",
    "<img src=\"http://ndlib.readthedocs.io/en/latest/_static/ndlogo2.png\" width=\"260px\" align=\"right\"/>\n",
    "</span>\n",
    "<span>\n",
    "<b>Author:</b> <a href=\"http://about.giuliorossetti.net\">Giulio Rossetti</a><br/>\n",
    "<b>Python version:</b>  >=3.6<br/>\n",
    "<b>NDlib version:</b>  5.1.0<br/>\n",
    "<b>Last update:</b> 15/02/2021\n",
    "</span>"
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   "source": [
    "<a id='top'></a>\n",
    "# *Chapter 12: Decision Based Models*\n",
    "\n",
    "In this notebook is introduced a basilar version of the Threshold model: for more advanced customizations refer to the ``NDlib`` documentation/appendix notebook.\n",
    "\n",
    "**Note:** this notebook is purposely not 100% comprehensive, it only discusses the basic things you need to get started."
   ]
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    "## Table of Contents\n",
    "\n",
    "1. [Threshold Model](#model)\n",
    "    1. [Model Selection and Configuration](#conf)\n",
    "    2. [Simulation Execution](#simulation)\n",
    "    3. [Results Visualisation](#visual)\n"
   ]
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   "source": [
    "<a id=\"model\"></a>\n",
    "## Threshold model ([to top](#top))\n",
    "\n",
    "The threshold model describes a deterministic process where each unactive node becomes active as soon as a fixed fraction of its neighbors activates."
   ]
  },
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   "source": [
    "import ndlib\n",
    "import networkx as nx\n",
    "\n",
    "g = nx.erdos_renyi_graph(100, 0.1)"
   ]
  },
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   "source": [
    "<a id=\"conf\"></a>\n",
    "#### Model Selection and Configuration ([to top](#top))\n",
    "\n",
    "After having defined the graph, we have to instantiate the Threshold model."
   ]
  },
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   "source": [
    "import ndlib.models.epidemics as ep\n",
    "\n",
    "model = ep.ThresholdModel(g)"
   ]
  },
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    {
     "data": {
      "text/plain": [
       "{'Susceptible': 0, 'Infected': 1}"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.available_statuses"
   ]
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   "source": [
    "The model needs to be configured as in the following example:"
   ]
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   "source": [
    "import ndlib.models.ModelConfig as mc\n",
    "\n",
    "# Model Configuration\n",
    "config = mc.Configuration()\n",
    "\n",
    "# Setting node parameters\n",
    "threshold = 0.2\n",
    "for i in g.nodes():\n",
    "    config.add_node_configuration(\"threshold\", i, threshold)"
   ]
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    "``ModelConfig`` allows to describe the initial condition of the simulation. \n",
    "\n",
    "It makes possible, for instance, to specify the initial percentage of infected nodes in the network."
   ]
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   "source": [
    "config.add_model_parameter('fraction_infected', 0.1)"
   ]
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   "source": [
    "model.set_initial_status(config)"
   ]
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    "<a id=\"simulation\"></a>\n",
    "#### Simulation Execution ([to top](#top))\n",
    "\n",
    "Once described the network, the model and the initial conditions it is possible to perform the simulation.\n",
    "\n",
    "``NDlib`` models diffusive phenomena as **discrete-time**, **agent-based** processes: during every iteration all nodes are evaluated and, their statuses are updated accordingly to the model rules.\n",
    "\n",
    "Iterations can be required (incrementally) by using two methods:\n",
    "- ``iteration()``\n",
    "- ``iteration_bunch(nbunch, node_status=False)``\n",
    "\n",
    "The former computes a single iteration step, the latter executes ``nbunch`` iterations. \n",
    "\n",
    "The ``node_status`` parameter allows to return the individual node status at each iteration."
   ]
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     "text": [
      "100%|██████████| 10/10 [00:00<00:00, 2410.66it/s]\n"
     ]
    }
   ],
   "source": [
    "iterations = model.iteration_bunch(10, node_status=True)"
   ]
  },
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   "source": [
    "To abstract from iterations details it is possible to transform them into diffusion **trends** using the ``build_trends(iterations)`` method:"
   ]
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   "source": [
    "trends = model.build_trends(iterations)"
   ]
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   "source": [
    "<a id=\"top\"></a>\n",
    "####  Results Visualisation ([to top](#top))\n",
    "\n",
    "Finally, ``NDlib`` allows to inspect the behavior of the simulated model using standard plots such as the ``DiffusionTrend`` and ``DiffusionPrevalence`` ones."
   ]
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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from ndlib.viz.mpl.DiffusionTrend import DiffusionTrend\n",
    "viz = DiffusionTrend(model, trends)\n",
    "viz.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "nbpresent": {
     "id": "1329a916-f0ee-426f-a543-c4e93c038fc5"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ndlib.viz.mpl.DiffusionPrevalence import DiffusionPrevalence\n",
    "viz = DiffusionPrevalence(model, trends)\n",
    "viz.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "nbpresent": {
     "id": "3b74b409-b3f4-41a2-8de2-6035e50f6424"
    }
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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