How to learn the maths of Data Science using your high school maths knowledge – Gradient Descent

How to learn the maths of Data Science using your high school maths knowledge - Gradient Descent

Mathematics is the foundation of every modern science subject. 

  There is no doubt that to become a high-profile data scientist, you need to have all the other knowledge about data (programming skills, a certain degree of business acumen, and unique analysis and curiosity).

This important mathematical knowledge is especially important for data science novices in other majors: mechanical engineering, retail, chemistry, medical and healthcare, business administration, etc.

Data science naturally does not depend on a specific field, and can handle a variety of phenomena such as cancer diagnosis and social behavior analysis. A variety of dazzling possibilities for mathematical 3D objects, statistical distributions, objective optimization functions, gradient of function calculator, and more.

Functions, variables, equations, and graphs

This field of mathematics covers the basics, from linear equations to binomial theorems and everything in between: 

  •         logarithms, exponents, polynomials Functions, rational numbers
  •         Basic geometry and propositions, trigonometric identities
  •         Real numbers and complex numbers, basic properties

Therefore, a gradient calculator allows you to determine the gradient of a straight line through two and three points on a graph. It also differentiates the given function to determine the gradient using different equations.

 Where can you use it?

If you want to know how to calculate the gradient of a function and how fast the search is after sorting in a database of millions of items, you can Find the term “binary search”. To understand its dynamics, you need to understand logarithms and recursive equations. Or, if you want to analyze time series with a gradient calculator, you may encounter concepts such as “periodic function” and “exponential decay”.  

Statistics

The importance of having a solid understanding of the basic concepts of statistics and probability cannot be overemphasized. Classical machine learning (not neural networks) is regarded by many experts in the field as nothing more than statistical learning. The subject is broad, and focused planning is essential to cover how to use gradient descent calculator during the experiments of statistics and the most important concepts:

  •         Summary and descriptive statistics, central tendency, variance, covariance, correlation
  •         Basic probability: basic ideas, expectations, probability calculations, Bayes theorem, conditional probability
  •         Probability distribution function: Uniform, normal, binomial, chi-square, Student t distribution, central limit theorem

Gradient symbols are also often used to indicate gradients. The gradient calculator finds the scalar product of a vector field and its vectors.

Where can I use it?

In the interview. If you can prove that you master these concepts, you will soon be impressed on the other side of the table and, as a data scientist, use it almost every day.  

Linear Algebra

This is an important field of mathematics. It is possible to understand how Gradient Calculator works and how machine learning algorithms work in a data stream to generate information. From suggestions to Facebook friends to Spotify song recommendations, to Salvador Detail portrait selfies with deep transfer learning, everything includes matrix and matrix algebra. The main topics to learn here: 

  •         Basic properties of matrices and vectors: scalar multiplication, linear transformation, transposition, conjugate, rank, determinant
  •         inner and outer products, matrix multiplication rules and various algorithms, Inverse matrix
  •         special matrix: square matrix, identity matrix, triangular matrix, sparse and dense matrix representation, identity vector, symmetric matrix, Hermitian matrix, skewness and identity matrix

Where can you use this?

If you use dimensionality reduction techniques for principal component analysis unity you may use Gradient Calculator to obtain a compact dimensional representation of a data set with fewer parameters.