Taylor Series in Machine Learning and in Deep Learning.

Lorenzo Castagno
7 min readOct 6, 2022
What is Human-Guided Machine Learning? — Tamr Inc.

Since the Taylor series expansion of any continuous function discloses many of the properties of the function, we may apply it to any function in the neural network.

When we look at an algorithm for making a decision or for making an accurate decision in machine learning or deep learning, we notice the application of mathematics. We can say that there is a relationship between machine learning and mathematics. The algorithms of deep learning and machine learning are optimized using a variety of mathematical principles. One of the mathematical ideas that is frequently applied in machine learning is the Taylor series. In this article, we’ll talk about the Taylor series and how it’s primarily used in deep learning. The following list includes the main points that will be covered in this article.

  1. What is the Taylor series?
  2. Why Do We Use The Taylor series?
  3. Taylor Series in Machine Learning
  4. Taylor Series in Deep Learning
  5. Use cases of the Taylor Series in Deep Learning

Let’s start the discussion by understanding what the Taylor series is.

The Taylor series is a series expansion of a function around a single point in mathematics. Any function’s expansion is the infinitesimal sum…

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