Vectors Simplified

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Vectors: Vectors are mathematical objects used to represent data in multi-dimensional space. Each vector consists of multiple components or dimensions.

Cosine Similarity: Cosine similarity is a measure used to calculate how similar two vectors are. It ranges from -1 (completely dissimilar) to 1 (completely similar). It is computed using the cosine of the angle between two vectors.

Recommended Readings:

• Vector (Mathematics and Physics)
• Cosine Similarity
• Cosine Similarity in Machine Learning (Towards Data Science)

How to Use This App

• Type your text into the input field and press Enter or click Submit.
• Your query and its vector embedding will be plotted on the graph.
• Click on any query in the list to select it and see its cosine similarity with other queries.
• Hover over the points on the graph to see the cosine similarity values.
• Use the "Sort By" dropdown to sort queries by index or cosine similarity.
• Toggle the "Smooth" checkbox to enable or disable data smoothing for a clearer visualization of the graph. Smoothing helps in reducing noise by averaging values over a specified window, making the graph easier to interpret.