Artificial Intelligence (AI) has penetrated our lives so deeply that its application can be seen almost everywhere. From chatbots and virtual assistants to AI powered gadgets, the presence of AI innovation can be felt everywhere. AI innovation has not been limited to only fictional movies, which we once saw in sci-fi movies on the large screen. They have come a long way into the real-world.
Artificial Intelligence (AI) is the ability of a machine or computer, or robot to mimic human behavior and intelligence. They are capable of performing tasks that humans can perform. Computer systems stimulate human behavior and perform human-like tasks.
Are you someone who believes that the AI innovation we see around us is magic? The ability of machines and computer systems to replicate human behavior is made possible with the power of mathematics. Math for artificial intelligence is indispensable, without which AI innovation would not exist.
Artificial Intelligence and Mathematics are the two sides of the same coin. For those looking to make an artificial intelligence career, studying math is crucial. Overlooking mathematics and just merely enjoying science fiction isn’t going to make it happen.
If you are planning to pursue an AI career, it is essential to realize the importance of math, more specifically applied mathematics.
Artificial Intelligence and Mathematics – Understanding the interrelationship between the two
- Representation problems and search problems are the two categories on which AI problems are based.
- The main purpose of artificial intelligence is to create models that can be understood by human beings.
- The use of various ideas, techniques, and strategies in mathematics are used to create AI models.
- Autonomous vehicles are able to identify objects and people while driving on the road.
- They are able to perceive the world based on the power of numbers and formulae of math.
- A series of complex equations and algorithms help an autonomous vehicle to determine what is happening in the surrounding streets.
- On the basis of various math-based tools, autonomous vehicles take the decision when to halt, when to change lanes, when to turn left or right, when to stop, etc.
Mathematics for artificial intelligence – The fundamentals and basics of mathematics that you need to know
Algebra
It is one of the core and main subjects of mathematics which involves study of various mathematical symbols, equations, and expressions to solve problems.
The various mathematical operations in algebra that you need to know for an AI career are:
- Addition
- Subtraction
- Multiplication
- Division
- Factorials
- Exponents
- Summations
- Radicals
Linear algebra
A primary tool of math for artificial intelligence and STEM fields is linear algebra. It plays a key role from describing the operation of algorithms to implementing it in the AI code. The applications of linear algebra can be seen in data processing, data transformation, and evaluation of AI model.
Here are the different topics of linear algebra that you need to be familiar with.
- Matrix transformations
- Vectors
- Euclidean vector spaces
- Linear functions
- Eigenvalues and Eigenvectors
- Scalars
- Matrices
- Projections
- Singular value decomposition
Calculus
It is a core math concept that makes it possible to understand the internal functioning of AI and ML algorithms. Errors, approximations, and changes in parameters can be effectively dealt with using calculus.
The most important calculus concepts that find their use in AI innovation include:
- Limits
- Continuity
- Derivatives
- Integration
- Multivariate calculus
- Linear Regression
- Neural Networks
- Chain rule on multivariate functions
- Gradient algorithms
Statistics and probability
Statistics is a branch of mathematics that is used in AI innovation and various AI tools to analyze and visualize past data in order to find unknown patterns. Probability involves understanding the likelihood of an event or outcome occurring in the future.
Here are the different concepts of statistics and probability that you need to master if you want to make an artificial intelligence career.
- Bayes’ Theorem
- Discrete and continuous random variables.
- Basic concepts like mean, median, mode.
- Measures of dispersion like variance, standard deviation, mean deviation, range, quartile deviation.
- Common distributions like binomial, Bernoulli, Gaussian, exponential.
When using AI powered gadgets and devices, most people think that it is magic. However, it is math for artificial intelligence that acts behind the scenes and drives the AI innovation to people. If you are looking to succeed in today’s AI-driven world, you need to have immense love, respect, and a zeal for mathematics. Whether you want to become a data scientist, AI data analyst, AI coder, ML engineer, research scientist, big data engineer, or choose any other AI career, you need to master applied math.AI has wide applications in various industries. Due to this reason, there are ample job opportunities available in the field of AI innovation. All you need is mastery over the basics of mathematics.
