Mathematics in Natural Language

By: Abdoulaye Doucoure
  • Summary

  • Discover how mathematics is revolutionizing natural language processing. In this newsletter, we explore the mathematical models that underpin the understanding, analysis, and generation of text. Learn how algorithms transform raw data into useful information, and how mathematical concepts such as probability, linear algebra, and statistics play a key role in the development of linguistic technologies. Whether you're a professional in the field or simply curious, follow our analyses to better understand the advancements in this rapidly growing sector.
    Abdoulaye Doucoure
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Episodes
  • KL Divergence: The Mathematical Tool to Measure the Difference Between Two Worlds
    Dec 5 2024

    This episode explains the Kullback-Leibler (KL) divergence, a mathematical tool for measuring the difference between two probability distributions.

    It details its use to evaluate and improve the performance of AI models, including identifying prediction errors, particularly those concerning rare but critical classes. The original article proposes best practices for integrating the KL divergence into model development, including visualization of distributions and regular iteration. Finally, it highlights the importance of customizing models using industry-specific data to reduce divergence and improve accuracy.

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    17 mins
  • Mastering Cross-Entropy for AI Optimization
    Dec 4 2024

    🧠 How does an AI model refine its predictions to get closer to reality?

    With an elegant and essential formula: cross entropy.

    In this episode:

    • 🌟 Discover how it measures the "distance" between truth and predictions.
    • 🤖 Understand why it’s a cornerstone of supervised learning.
    • 💼 Explore real-world applications in business: boosting marketing campaigns, preventing customer churn, and improving financial decisions.

    Learn how to harness this key mathematical tool to elevate your AI projects to the next level! 🚀

    Dive deeper into the original article here!

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    14 mins
  • Entropy - Decoding Uncertainty to Better Structure Information
    Dec 2 2024

    The article discusses entropy, a key concept in information theory that measures uncertainty or randomness in a data set. It explains how entropy affects AI models, particularly in natural language processing (NLP), and how to adjust entropy to improve the accuracy and creativity of AI responses.

    Here are the main points covered in the article: Definition of entropy, Entropy formula, Examples, Impact on data, Entropy in NLP, Importance of a good balance, writing prompts, RAG knowledge bases, Tuning language models, Temperature, Top-p sampling, Validation and automation and Practical advice !

    Read the article here!

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    11 mins

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