Tag: Statistics
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Sketulate: Sketchable Functions & Densities for Data Science
I simulate a lot of data to test my ideas, particularly the more complex ones. With non-standard stuff, it can be pretty time consuming to find the right function and/or parameters to do what I want. If the shape you want isn’t a common function or distribution, you can spend too much time searching for…
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Genetic Algorithms with PyGAD and PyTorch
Deep dive into Genetic Algorithms (GAs), an optimization algorithm inspired by the concept of natural evolution, including using a GA to train a Pytorch model with the Pygad library.
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Expectation of a Gaussian Likelihood Function
This article explores the calculation of the expected likelihood of the Gaussian function rather than its maximum. It includes deriving the expectation of the Gaussian likelihood function, and the expectation of the likelihood of one Gaussian given the parameters of another Gaussian.
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How to Choose a Distribution for your Regression Model
This article is all about distributions! In it, I explore the most common distributions including Gaussian, Uniform, Student-T, Gamma, and others. I also discuss their applications and when to choose them for regression modelling.
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Stochastic Time Delay in Regression Analysis
I revisit a previous article on designing a regression model for stochastic time delay problems, where input-output delays vary randomly. The proposed model treats time delay components as part of the analysis, achieving improved results over standard regression methods in simulated experiments. Potential applications include marketing and medical settings. Future extensions might tackle multiple regression…
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Hierarchical (Multilevel) Modelling
Hierarchical modeling is a powerful statistical technique to analyze nested or grouped data. It considers both global structure and individual characteristics, delivering more accurate and robust estimates. Hierarchical models outperform traditional machine learning models, providing lower error rates and better handle outliers, especially with small datasets.
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Introduction to Exponential Smoothing
This article intros the enduring Exponential Smoothing (ETS) in time series forecasting despite. I explore 4 key ETS variants, their formulas, and practical applications. Additionally, it touches on auto parameter selection for ETS models.
Aaron Pickering 