Now a day machine learning uses all the mathematical concept so it is necessary to have a strong mathematical concept.
In this blog, we will list all the important terms and concepts of mathematics which is related to machine learning.
Start with probability ( Conditional Basic Marginal etc …)
Formula =>
P(Event) = Favourable Outcomes / Total Possible Outcomes . Let's look at some.
Examples:
Problem: Throwing a Dice (1 time ) — Means [1,2,3,4,5,6] ie. total possible outcomes = 6. What is the probability of getting 5 on throwing a dice ? Ans : 1 / 6 .
Mathematical Series and Convergence, Numerical methods for Analysis
Mostly it is defined using the limit.
Examples:
Imagine a sequence as such:
X0 = 1
X1 = 0.1
X2 = 0.01
X3 = 0.001
X4 =0.0001
...
Xn = 1/(10^n)This means that Xn = 1/(10^5) converges to 0. As in "it can get closer and closer to zero" as much as we want.
Bayesian Statistics
Typically, one draws on Bayesian models for one or more of a variety of reasons, such as:
Having relatively few data points
Having strong prior intuitions
Having high levels of uncertainty
Calculus
Calculus is an important field in mathematics and it plays an integral role in many machine learning algorithms.
Markov Process and Chains
Markov chains are a fairly common, and relatively simple, way to statistically model random processes. They have been used in many different domains, ranging from text generation to financial modeling
Other topics:
Stochastic Models
Here the list of all stochastic models:
Poisson processes
Random Walk and Brownian motion processes
Gaussian Processes
etc.
Differential Equations
Differential Equations are very relevant for a number of machine learning methods.
Dynamic Programming and Optimization Techniques
Dynamic programming works on the same lines as machine learning. It will explore each possibility and select the one which looks most probable at every step of the computation. Most of the reinforcement learning algorithms use dynamic programming.
Examples can be bots that need to decide for each step which action to take further when exploring. Other being genetic algorithms, in-game theory, software agents or even algorithms for compressing and communicating data.
Fourier's and Wavelengths
The Fourier transform (FT) decomposes a signal into the frequencies that make it up.
Mainly, the Fourier transform is represented as an indefinite integral.
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