This code utilizes Python libraries (`pandas` and `numpy`) to perform...

August 28, 2025 at 02:56 AM

import pandas as pd import numpy as np histograms = pd.read_csv('article_histograms.csv').to_numpy() titles = pd.read_csv('article_titles.csv').to_numpy() dictionary = pd.read_csv('dictionary.csv').to_numpy() ## Initialising centroids k = 3 np.random.seed(43) z = np.random.rand(k, histograms.shape[1]) * np.mean(histograms) N = histograms.shape[0] c = np.zeros(N) for i in range(histograms.shape[0]): distances = np.zeros(k) for j in range(k): distances[j] = np.linalg.norm(histograms[i] - z[j]) c[i] = distances.argmin() print(c)

This code utilizes Python libraries (pandas and numpy) to perform the initialization steps for a clustering algorithm, specifically setting up and assigning initial cluster labels for a variation of the k-means clustering algorithm. Below is an explanation of what the code does step-by-step:

Step-by-Step Breakdown:

  1. Import Libraries:

    • pandas is imported as pd for handling data in tabular format (e.g., .csv files).
    • numpy is imported as np for mathematical operations and numerical computations.
  2. Read Input Files:

    • It reads three CSV files:
      • 'article_histograms.csv' (presumably containing numerical features, such as histograms).
      • 'article_titles.csv' (likely containing article titles, but not used in the clustering computation).
      • 'dictionary.csv' (unspecified use in the provided code, also unused in current processing).
    • The data from the files is converted into NumPy arrays via .to_numpy().

    Key variable names:

    • histograms: A 2D NumPy array with article data (dimensions of (N, M) where N is the number of articles, and M is the number of features per article).
    • titles, dictionary: NumPy arrays (content not used in subsequent computations).
  3. Initialize Parameters:

    • Number of clusters (k): The number of clusters to partition the data into is set to 3.
    • Random seed (np.random.seed(43)): Sets a seed for reproducibility of random numbers.
  4. Initialize Centroids (z):

    • Randomly generates k initial centroids (z) for the clustering process.
    • z is a 2D NumPy array of shape (k, M). Each centroid corresponds to one cluster.
    • The centroids are initialized with random values (np.random.rand) scaled by the mean of the histograms array.
  5. Assign Initial Cluster Labels (c):

    • Initializes an empty array c of size N (same as the number of articles) to store which cluster each article belongs to.
    • The code iterates over all articles (for i in range(histograms.shape[0])).
      • For each article, it computes the Euclidean distance to each centroid (np.linalg.norm(histograms[i] - z[j])).
      • The cluster index (j) that has the smallest distance is assigned to c[i] using .argmin().
  6. Print the Initial Cluster Assignments (c):

    • After the loop, c is printed. This is a 1D NumPy array of size N where each entry indicates the index of the cluster to which the corresponding article is closest based on the initialized centroids (z).

Summary:

The code performs data import and initializes cluster centroids and assignments for what appears to be a k-means clustering algorithm. Specifically:

  • The centroids are randomly initialized with values proportional to the histogram data.
  • Each data point (histogram) is assigned to the nearest initial centroid based on Euclidean distance.
  • The resulting cluster assignments (c) are printed to the console.

This code does not implement the complete k-means clustering algorithm as it lacks iterations for updating centroids and reassigning clusters. Instead, it performs a one-time random initialization and assigns clusters based on these initial centroids.

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