It's a powerful mathematical technique used to model complex systems, make predictions, and optimize decision-making. Let's dive into this fascinating world! #MonteCarloSimulation#Statistics#DataScience
🧵2/8 How does it work? 🤔
Monte Carlo Simulation uses random sampling and statistical models to estimate unknown values. It simulates a system multiple times with different random inputs and aggregates the results to produce predictions. #RandomSampling#DataScience
🧵3/8 Applications 💼
From finance to engineering, Monte Carlo Simulation is used across many fields. It helps with risk analysis, portfolio optimization, and even predicting the weather. The versatility of this method is truly remarkable. #DataScience
🧵4/8 History 📚
The technique was developed during WWII by Stanislaw Ulam and John von Neumann. They used it to model nuclear chain reactions in the Manhattan Project. Monte Carlo, named after the famous casino, highlights the method's use of randomness. #DataScience
🧵5/8 Benefits 🌟
Monte Carlo Simulation shines where traditional methods fall short. It can model systems with uncertainty, multiple inputs, and non-linear behavior. It allows for a deeper understanding of complex systems and better decision-making. #DataScience
🧵6/8 Limitations ⚠️
Despite its power, the Monte Carlo Simulation has limitations. It requires significant computational resources and can be sensitive to input data quality. Results may be inaccurate if the model's assumptions are incorrect. #DataScience
🧵7/8 Monte Carlo in everyday life 📱
You've probably encountered Monte Carlo Simulation without even realizing it! From Google's PageRank algorithm to video game AI, this technique is everywhere. #DataScience
🧵8/8 Wrap up 🎁
Monte Carlo Simulation is a vital tool in understanding and predicting complex systems. Its versatility and power have made it an indispensable technique across various fields. Share this thread to spread the knowledge! 🔁 #DataScience
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Welcome to this thread where we'll explore the differences between systematic and random error, two types of error that can impact the accuracy and precision of your data. Let's dive in! #Statistics#DataScience
🧵2/10: Error in Measurements 📏
In any measurement process, there's a possibility of errors occurring. Understanding the types of errors that can arise helps us to design experiments that minimize their impact and improve the quality of our results. #DataScience
🧵3/10: Systematic Error 📐
Systematic errors, or biases, are consistent and reproducible inaccuracies that occur in the same direction every time. These errors can be due to faulty equipment, incorrect calibration, or even observer bias. #DataScience
1/10: 🧪📊 Introducing Generalized Linear Models (GLMs) and how to perform them using R! A thread. #GLM#Rstats#DataScience
2/10: 💡GLMs are a general class of regression models that extend linear regression, allowing for a variety of response distributions & link functions. They're used for modeling relationships between a response variable & one or more explanatory variables. #RStats#DataScience
3/10: 📐The main components of a GLM are:
Random Component: The response variable's distribution (e.g., Gaussian, Poisson, Binomial)
Systematic Component: Linear predictor (linear combo of explanatory variables)
Link Function: Connects the two components. #Rstats#DataScience
🧵1/10 Multivariate Normality: A Guide to Controlling It Using the MVN Package in R 📊
Multivariate normality is a key assumption in many statistical techniques. Let’s explore how to test and control for MVN using the MVN package in R. #rstats#DataScience cran.r-project.org/web/packages/M…
🧵2/10 Installing the MVN Package 📦
First, let's install and load the MVN package in R:
install.packages("MVN")
library(MVN)
This package offers a range of functions to assess and visualize multivariate normality. #rstats#DataScience
🧵3/10 Testing for MVN 🔎
To test your dataset for MVN, use the mvn() function. The function takes a data frame or a matrix as input and returns a list of tests, including Mardia's, Henze-Zirkler's, and Royston's tests.
# setosa subset of the Iris data
setosa <- iris[1:50, 1:4]
🧵1/16 🚀 Package Exploration! 🌌 We all know popular #RStats packages like ggplot2, dplyr, and shiny, but there are tons of hidden gems 💎 in the CRAN universe waiting to be discovered! Let's explore some lesser-known packages that can supercharge your #DataScience journey!
🧵2/16 🌈 colorfindr: This nifty package extracts the most common colors from your images! Whether you're working with visualizations, web design, or marketing materials, colorfindr has you covered. Check it out: cran.r-project.org/package=colorf…#RStats#DataScience
🧵3/16 📦 pacman: Tired of typing install.packages() for each new package you need? pacman is here to save the day! It's a Swiss Army knife 🛠️ for package management, making installing, loading, and updating packages a breeze! cran.r-project.org/package=pacman#RStats#DataScience
[1/8] 📚 Introducing #Quarto: A Versatile, New and Exciting Publishing Tool! 🌟
Quarto is a powerful, open-source, and user-friendly publishing framework that streamlines the process of creating beautiful books, documents, and websites. Let’s explore it now! #RStats#DataScience
[2/8] 🤓 Language Agnostic: Quarto works seamlessly with multiple languages, including #Markdown, #LaTeX, #RMarkdown, and #Jupyter notebooks. So, whether you're a researcher or a creative writer, Quarto has you covered! 🌍 #DataScience#RStats
[3/8] 🔁 Format Flexibility: With Quarto, you can convert your content into various formats, such as PDF, HTML, EPUB, and even slide presentations. It makes sharing your work with diverse audiences a breeze! 🌬️ #RStats#DataScience
🧵1/9 A deep dive into the history of #Backpropagation: A key technique in training multilayer architectures for neural networks. This powerful method revolutionized the way we train AI systems, leading to major breakthroughs in various domains. 🤖#DataScience#DeepLearning#AI
🧵2/9 #Backpropagation is based on a simple concept: use gradient descent to optimize multilayer networks. By applying the chain rule for derivatives, it computes gradients efficiently, leading to optimized weight configurations in each layer of the network. #DataScience#AI
🧵3/9 The shift to Rectified Linear Units (ReLU) accelerated learning in deep networks, allowing training without unsupervised pre-training. This non-linear activation function proved more effective than its smoother predecessors like tanh(z) or 1/(1+exp(−z)). #ReLU#DataScience