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Geometrical Interpretation of Linear Regression in Machine Learning versus Classical Statistics

Demystifying the confusion about Linear Regression Visually and AnalyticallyImage: Linear regression illustration, by Stpasha, via Wikimedia Commons (Public Domain). Original Image Link: https://upload.wikimedia.org/wikipedia/commons/8/87/OLS_geometric_interpretation.svgThe above image represents a geometric interpretation of Ordinary Least Squares (OLS) or Linear Regression (words used interchangeably in classical statistics). Let’s break down what we’re seeing in an intuitive way:Variables (X1 and X2): Imagine you have…

PyTorch Introduction — Building your First Linear Model

Learn how to build your first PyTorch model, by using the “magical” Linear layer!Continue reading on Towards Data Science » Learn how to build your first PyTorch model, by using the “magical” Linear layer!Continue reading on Towards Data Science » FOLLOW US ON GOOGLE NEWS Read original article here Denial of responsibility! Techno Blender is an automatic aggregator of the all world’s media. In each content, the hyperlink to the primary source is specified. All trademarks belong to…

Showtime Linear Rebranding to Paramount+ With Showtime

As of January 8, linear Showtime will be no more. Instead, it’ll be rebranded as “Paramount+ With Showtime,” an arrangement spurred by the fact Showtime content is now available on the Paramount+ streaming service and executives just have to change things to justify their salaries. It’s the latest rebrand in the streaming world, after previous high-profile shifts like HBO Max to Max earlier this year.'Even AI Rappers are Harassed by Police' | AI Unlocked“The move aligns the brand with the Paramount+ with Showtime plan, a…

A birds eye view of linear algebra: why is matrix multiplication like that?

But why should the columns of the first matrix match the rows of the second? Why not have the rows of both match?Continue reading on Towards Data Science » But why should the columns of the first matrix match the rows of the second? Why not have the rows of both match?Continue reading on Towards Data Science » FOLLOW US ON GOOGLE NEWS Read original article here Denial of responsibility! Techno Blender is an automatic aggregator of the all world’s media. In each content, the hyperlink to the primary source is…

From Linear Algebra to Deep Learning in 7 Books (Winter 2023 Update)

Seven of my Favourite Machine Learning BooksPhoto by Laura Kapfer on UnsplashIn my first ever blog post for Towards Data Science in 2019, I wrote about five of my favorite machine learning books — books that cover every aspect from basic linear algebra to modern deep learning.They were:Linear Algebra Done Right by Sheldon AxlerMathematical Statistics and Data Analysis by John A. RiceElements of Statistical Learning by Trevor Hastie et al.Neural Networks and Deep Learning by Michael NielsenDeep Learning by Ian Goodfellow…

Linear Algebra 4: Matrix Equations

Solving matrix equations Ax= bPrefaceWelcome back to the fourth edition of my ongoing series on the basics of Linear Algebra, the foundational math behind machine learning. In my previous article, I introduced vectors, linear combinations, and vector spans. This essay will take a look at the matrix equation Ax = b and we’ll see how the very principle of solving a system of linear equations is linked to the matrix equation.This article would best serve readers if read in accompaniment with Linear Algebra and Its…

Visualization a Linear Model on a Scatterplot with ggvis

Improve Article Save Article Like Article Improve Article Save Article Like Article It is a statistical model used to describe the relationship between a dependent variable and one or more independent variables. The linear model is used in data analysis. We can say that a linear model assumes a linear relationship between the dependent variable and each independent variable. Linear models are represented in straight-line form.Linear model on a Scatterplot means fitting a straight line to the data points on the plot…

Researchers “Split” Phonons in Step Toward New Type of Linear Mechanical Quantum Computer

Artist’s impression of a platform for linear mechanical quantum computing (LMQC). The central transparent element is a phonon beam splitter. Blue and red marbles represent individual phonons, which are the collective mechanical motions of quadrillions of atoms. These mechanical motions can be visualized as surface acoustic waves coming into the beam splitter from opposite directions. The two-phonon interference at the beam splitter is central to LMQC. The output phonons emerging from the image are in a two-phonon state,…

Plot Simultaneous and Pointwise Confidence Bands for Linear Regression

library(dplyr)setosa <- iris %>% filter(Species == "setosa")                %>% select(Sepal.Length,                           Sepal.Width,                            Species)virginica <- iris %>% filter(Species == "virginica")                    %>% select(Sepal.Length,                                Sepal.Width,                               Species)  setosa <- setosa %>% arrange(Sepal.Length)virginica <- virginica %>% arrange(Sepal.Length)   compute linear modelsModel <-…

German govt awards contract to develop Linear AeroSpike rocket engine

Aerospace startup Polaris Raumflugzeuge has been awarded a contract by the German government's Bundesamt für Ausrüstung, Informationstechnik und Nutzung der Bundeswehr (BAAINBw) (Federal Office of Bundeswehr Equipment, Information Technology and In-Service Support) to develop and fly a revolutionary Linear AeroSpike (LAS) engine that replaces the conventional rocket nozzle with a curving wall-shaped plug.Conventional rockets can be easily spotted by their bell-shaped nozzles that accelerate the hot gases shooting out of…