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The kind of math needed for AI includes:
1. Probability and Statistics (exploring data): Probability theory and statistics are key fundamentals for many
AI algorithms, particularly those involving machine learning. It is useful in tasks such as natural language
processing, computer vision, and decision-making.
2. Linear Algebra (finding out unknown or missing values): Linear algebra is involved in large-scale data
processing playing a vital role in machine learning and AI. It performs operations in neural networks, image
processing, and data transformations.
3. Calculus (training and improving AI model): Calculus is essential for understanding the best possible
solution algorithms used in machine learning. It minimise mistakes and maximise the parameters of machine
learning models.
4. Graph Theory: Graph theory is used in AI representing trends using data visualisation.
5. Information Theory: Information theory provides mathematical tools for data analysis.
6. Logic and Set Theory: Logic and set theory are used in concepts like expert systems, database systems,
and knowledge graphs. Mathematics and AI are deeply integrated fields, with mathematics providing the
theoretical foundation for many AI algorithms and techniques.
7. Algorithm design: The design of the algorithms often uses mathematical principles and structures such as
functions, matrices and graphs.
Statistics
Statistics is used for collecting, exploring, and analysing the data. It also helps in concluding data. It enables AI
systems to detect patterns, identify relationships, and infer conclusions from data.
• Data is collected from various sources.
• Data is explored and cleaned to be used.
• The analysis of data is done to understand it better.
• Conclusions and decisions can be made from the data.
Let’s consider an example to illustrate these steps:
A school wants to improve the performance of its students and decides to collect data on study habits and
grades.
• Collecting Data: The school conducts a survey where students report the number of hours they study each
week and their grades in various subjects.
• Exploring and Cleaning Data: The school first looks at the data to find patterns, like the range of study hours
and grades. They also clean the data by fixing any missing or incorrect information (e.g., if some students didn’t
fill in all the fields or gave unrealistic answers).
• Analysing Data: The school summarises the average study hours and grades to get an overview. They also
check if there is a significant relationship between study hours and grades.
• Drawing Conclusions: The analysis might reveal that students who study for more hours tend to have higher
grades. Based on this conclusion, the school might decide to implement study support programs to encourage
students to study more. Thus, we can say statistics helps in transforming the raw data into meaningful insights,
enabling better decisions and strategies in various fields such as business, healthcare, education, and more.
a Brainy Fact
As per the statistics, Netflix makes $1 billion annually from automated personalised
recommendations.
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