SN_week11.ipynb

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    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "## The World is Connected"
      ],
      "metadata": {
        "id": "zcel22KTa_zb"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Small World Phenomenon - 6 degrees of separation"
      ],
      "metadata": {
        "id": "ZG8Ht9dUib2_"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "#### **Milgram's Experiment**\n",
        "#### The goal of the experiment was to find short chains of acquaintances linking pairs of people in the United States who did not know one another. In a typical instance of the experiment, a source person in Nebraska would be given a letter to deliver to a target person in Massachusetts. The source would initially be told basic information about the target, including his address and occupation; the source would then be instructed to send the letter to someone she knew on a first-name basis in an effort to transmit the letter to the target as efficaciously as possible. Anyone subsequently receiving the letter would be given the same instructions, and the chain of communication would continue until the target was reached. Roughly a third of the letters eventually arrived at the target, in a median of six steps, and this has since served as basic experimental evidence for the existence of short paths in the global friendship network, linking all (or almost all) of us together in society. \n",
        "\n",
        "#### **Conclusion**\n",
        "* #### Any two individuals in the network are likely to be connected through a short sequence of intermediate acquaintances. \n",
        "* #### 2 people are separated by 6 people on an average. (6 setps)"
      ],
      "metadata": {
        "id": "T54pPHXsc3D_"
      }
    },
    {
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      ],
      "metadata": {
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    },
    {
      "cell_type": "markdown",
      "source": [
        "* #### Small world networks have small average shortest path (global) and high clustering coefficient (local)"
      ],
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      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "#### **Watts-Strogatz Generative Model 1998**\n",
        "#### The authors start with a ring of n nodes, each connected to its k nearest neighbors by undirected edges. (For clarity, n = 20 and k = 4 in the schematic examples shown here.) They choose a node and the edge that connects it to its nearest neighbors in a clockwise sense. With a reconnection probability of p , they moved the edge to a node chosen uniformly at random over the entire ring, with a restriction on the duplicate edges; otherwise, they leave the edge in place. They repeat this process by moving clockwise around the ring, considering each node in turn until one lap is completed. Next, they consider the edges that connect nodes to their second nearest neighbors clockwise. As in the previous step, they randomly rewire each of these edges with a probability of p , repeating this process while circulating around the ring and proceeding outward to more distant neighbors after each lap, until each edge in the original lattice has been considered once. (As there are nk /2 edges in the entire graph, the rewiring process stops after k /2 laps.) Three realizations of this process are shown for different values of p . \n",
        "\n",
        "#### **Conclusion**\n",
        "* #### For p = 0, the original ring is unchanged\n",
        "* #### As p increases, the graph becomes increasingly disordered \n",
        "* #### For p = 1, all edges are rewired randomly. \n",
        "\n",
        "* #### One of their main results is that for intermediate values of p , the graph is a small-world network: highly clustered like a regular graph, yet with small characteristic path lengths similar to a random graph. "
      ],
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      "cell_type": "markdown",
      "source": [
        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)"
      ],
      "metadata": {
        "id": "xbt7VgpHhq20"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "### The Reason\n",
        "\n",
        "* #### Homophily\n",
        "* #### Weak Ties"
      ],
      "metadata": {
        "id": "1-26YIhoiRme"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "![Screenshot 2023-04-05 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)\n",
        "\n",
        "#### In a grid like this, you tend to make more friends who are your neighbors/similar to you (homophily) and less friends who are not your neighbors(weak ties)."
      ],
      "metadata": {
        "id": "vkwl1LPRirx-"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "![Screenshot 2023-04-05 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      ],
      "metadata": {
        "id": "7Xhf7eqhipYg"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "#### When P1 is trying to send a letter to P2, the letter may stay in the same city as P1 for some time since P1 knows more people in its city(homophily). But someone from that city may know someone from other city(weak ties) and it will pass on the letter. The process will repeat till the letter reaches P2. "
      ],
      "metadata": {
        "id": "PHOt_A3mjKfH"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "* #### Milgram's experiment is a collaborative experiment. It uses local method.\n",
        "* #### Local Method - The person P1 only knows about his friends. He has no clue who the friends of P2 are. The person P1 sends the letter to one of his friends hoping that the letter will reach P2 and the same goes on with every single person.\n",
        "* #### Nobody knows the entire graph."
      ],
      "metadata": {
        "id": "E_BDZSHtkP_-"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "* #### Random rewiring in a generative model - Remove edges in a network and randomly add edges with a probability ‘p’\n",
        "\n",
        "* #### Probability that there's an edge between points P1 and P2 (given distance between them is d) = 1 / (d^k)\n",
        "\n",
        "* #### k can be any positive integer. But k=2 is the best possible value."
      ],
      "metadata": {
        "id": "h04H9QoIPff5"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Up_ROgQiYmV2"
      },
      "outputs": [],
      "source": []
    }
  ]
}