upper_confidence_bound(done).ipynb

{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[{"file_id":"16gLEXnooBbYrca-oLmw7dHIS_V6Yqsr6","timestamp":1732157561959}]},"kernelspec":{"name":"python3","display_name":"Python 3"}},"cells":[{"cell_type":"markdown","metadata":{"id":"QJdrJJQUv3-k"},"source":["# Upper Confidence Bound (UCB)"]},{"cell_type":"markdown","metadata":{"id":"2XCjepjJwEv-"},"source":["## Importing the libraries"]},{"cell_type":"code","source":["import numpy as np\n","import pandas as pd\n","import matplotlib.pyplot as plt"],"metadata":{"id":"UgaCud6ypBeq","executionInfo":{"status":"ok","timestamp":1732158108157,"user_tz":-420,"elapsed":1443,"user":{"displayName":"hưng hoàng","userId":"09018587544555875926"}}},"execution_count":1,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"npqlXjaNwYTv"},"source":["## Importing the dataset"]},{"cell_type":"code","source":["dataset = pd.read_csv('Ads_CTR_Optimisation.csv')"],"metadata":{"id":"4kgEFDFkpB1j","executionInfo":{"status":"ok","timestamp":1732158109607,"user_tz":-420,"elapsed":2,"user":{"displayName":"hưng hoàng","userId":"09018587544555875926"}}},"execution_count":2,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"PaSbots_wfoB"},"source":["## Implementing UCB"]},{"cell_type":"code","source":["import math\n","N = 10000\n","d = 10\n","ads_selected = []\n","numbers_of_selections = [0]*d\n","sums_of_rewards = [0]* d\n","total_reward = 0\n","for n in range(0,N):\n","  ad = 0\n","  max_upper_bound = 0\n","  for i in range(0,d):\n","    if (numbers_of_selections[i]>0):\n","      average_reward = sums_of_rewards[i]/numbers_of_selections[i]\n","      delta_i = math.sqrt(3/2 * math.log(n+1)/numbers_of_selections[i])\n","      upper_bound = average_reward + delta_i\n","    else:\n","      upper_bound = 1e400\n","    if (upper_bound > max_upper_bound):\n","      max_upper_bound = upper_bound\n","      ad = i\n","    ads_selected.append(ad)\n","    numbers_of_selections[ad]= numbers_of_selections[ad] + 1\n","    reward = dataset.values[n,ad]\n","    sums_of_rewards[ad] = sums_of_rewards[ad]+reward\n","    total_reward = total_reward + reward"],"metadata":{"id":"aTbq5eXnpCNc","executionInfo":{"status":"ok","timestamp":1732158143728,"user_tz":-420,"elapsed":750,"user":{"displayName":"hưng hoàng","userId":"09018587544555875926"}}},"execution_count":4,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"AXftWcjDwsYj"},"source":["## Visualising the results"]},{"cell_type":"code","metadata":{"id":"eVyD_EDXwtkK","outputId":"c7fb5ad1-93f8-4e4d-ec40-0dd50c7fd718","executionInfo":{"status":"ok","timestamp":1732158146629,"user_tz":-420,"elapsed":715,"user":{"displayName":"hưng hoàng","userId":"09018587544555875926"}},"colab":{"base_uri":"https://localhost:8080/","height":472}},"source":["plt.hist(ads_selected)\n","plt.title('Histogram of ads selections')\n","plt.xlabel('Ads')\n","plt.ylabel('Number of times each ad was selected')\n","plt.show()"],"execution_count":5,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]}]}