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Understanding Gaussian Processes | Part 1 - What are Gaussian Processes?

Gaussian Processes are a powerful mathematical tool that helps us understand and model relationships in data. But sometimes, the mathematical intuition behind, is not that easy to understand. In this series you will learn what Gaussian Processes are and how to apply them in order to solve real world problems. In this video, we introduce Gaussian Processes, a powerful mathematical framework used in machine learning for both regression and classification problems. Two perspectives on Gaussian Processes are explained: the correlation modelling approach and the curve fitting approach. WGaussian Processes are a powerful mathematical tool that helps us understand and model relationships in data. But sometimes, the mathematical intuition behind, is not that easy to understand. In this series you will learn what Gaussian Processes are and how to apply them in order to solve real world problems. In this video, we introduce Gaussian Processes, a powerful mathematical framework used in machine learning for both regression and classification problems. Two perspectives on Gaussian Processes are explained: the correlation modelling approach and the curve fitting approach. We look into how data collection informs predictions and quantifies uncertainty and discuss the importance of understanding core principles like Bayes theorem, which underpins many predictive models. We explain how Gaussian Processes are non-parametric and provide flexibility in capturing complex relationships and uncertainty in predictions without predefined parameters. This approach contrasts with traditional curve fitting, offering greater adaptability and flexibility - although these come with their challenges as well. Finally, we will discuss situations where using Gaussian Processes makes sense. We will also explore some examples and real-world use cases. If you want to take a deeper dive in data science, check out our library of tutorials: 🔗 https://www.digilab.co.uk/posts ———————————————————————— 📌 Timestamps ———————————————————————— 00:00 - Intro 00:46 - Agenda 01:49 - What is a Gaussian Process? 02:33 - Gaussian Processes as a way of Modelling Correlation 04:20 - Gaussian Processes as Distributions over Functions 06:20 - Gaussian Processes and Bayes Theorem 08:27 - How do Gaussian Processes Work? 11:42 - Recap 13:22 - When do Gaussian Processes Work Best? 16:15 - What’s next? ———————————————————————— 📁 Resources ———————————————————————— Written tutorial - https://www.digilab.co.uk/posts/what-... Streamlit documentation - https://streamlit.io/ ———————————————————————— 👱🏻‍♀️ Connect with me ———————————————————————— digiLab Academy - https://academy.digilab.co.uk/ Twitter - @arojomaths LinkedIn:   / ana-rojo-echeburua     / digilab-solutions-ltd   ———————————————————————— 🎵 Music ———————————————————————— Rain, Book And Cup Of Tea by | e s c p | https://www.escp.space https://escp-music.bandcamp.com ———————————————————————— 🏷️ Tags ———————————————————————— Understanding Gaussian Processes Mastering Gaussian Processes for Data Science Unveiling the Power of Gaussian Processes Exploring Gaussian Processes in Machine Learning Gaussian Processes for Regression and Classification Correlation Modeling with Gaussian Processes Curve Fitting Approach in Gaussian Processes Embracing Uncertainty with Gaussian Processes Navigating Bayesian Principles in Machine Learning Non-parametric Modeling with Gaussian Processes Flexibility in Predictions with Gaussian Processes Gaussian Processes vs. Traditional Curve Fitting Gaussian Processes in Predictive Analytics Gaussian Processes Explained Simply ———————————————————————— ✨ Hashtags ———————————————————————— [#gaussianprocesses] (https://www.youtube.com/hashtag/gauss...) [#bayestheorem] (https://www.youtube.com/hashtag/bayes...) [#uncertaintyquantification] (https://www.youtube.com/hashtag/uncer...) [#Python] (https://www.youtube.com/hashtag/Python) [#Streamlit] (https://www.youtube.com/hashtag/Strea...) [#nonparametricmodels] (https://www.youtube.com/hashtag/nonpa...) [#datascience] (https://www.youtube.com/hashtag/datas...) [#machinelearning] (https://www.youtube.com/hashtag/machi...) [#AI] (https://www.youtube.com/hashtag/AI) [#Artificialintelligence] (https://www.youtube.com/hashtag/Artif...) [#Tutorial] (https://www.youtube.com/hashtag/Tutorial) [#Datascienceproject] (https://www.youtube.com/hashtag/Datas...)