Muhammad Umer Naseem’s Post

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Data Scientist | Machine Learning | Deep Learning

𝗨𝗻𝗱𝗲𝗿𝘀𝘁𝗮𝗻𝗱𝗶𝗻𝗴 𝗟𝗶𝗻𝗲𝗮𝗿 𝗥𝗲𝗴𝗿𝗲𝘀𝘀𝗶𝗼𝗻 𝗮𝗻𝗱 𝗜𝘁𝘀 𝗟𝗶𝗺𝗶𝘁𝗮𝘁𝗶𝗼𝗻𝘀: Linear regression is a fundamental tool in data science, but it's not without its challenges: 𝗠𝘂𝗹𝘁𝗶𝗰𝗼𝗹𝗹𝗶𝗻𝗲𝗮𝗿𝗶𝘁𝘆: When predictor variables are highly correlated, it can distort the coefficient estimates and reduce the model's reliability. 𝗦𝗺𝗮𝗹𝗹 𝗦𝗮𝗺𝗽𝗹𝗲 𝗦𝗶𝘇𝗲: If the number of samples is less than the number of variables, the model can become unstable and overfit the data. To address these issues, we turn to more advanced techniques: 𝗥𝗶𝗱𝗴𝗲 𝗥𝗲𝗴𝗿𝗲𝘀𝘀𝗶𝗼𝗻: Adds a penalty to the model that shrinks the coefficients, mitigating the impact of multicollinearity. 𝗟𝗮𝘀𝘀𝗼 𝗥𝗲𝗴𝗿𝗲𝘀𝘀𝗶𝗼𝗻: Goes a step further by performing feature selection, setting some coefficients to zero, thus simplifying the model. 𝗣𝗮𝗿𝘁𝗶𝗮𝗹 𝗟𝗲𝗮𝘀𝘁 𝗦𝗾𝘂𝗮𝗿𝗲𝘀 (𝗣𝗟𝗦): Focuses on finding a set of components that explain the maximum variance in both the predictors and the response, especially useful when predictors are highly collinear. 𝗣𝗿𝗶𝗻𝗰𝗶𝗽𝗮𝗹 𝗖𝗼𝗺𝗽𝗼𝗻𝗲𝗻𝘁 𝗔𝗻𝗮𝗹𝘆𝘀𝗶𝘀 (𝗣𝗖𝗔): Reduces dimensionality by transforming the predictors into a set of uncorrelated components, retaining most of the original variability with fewer variables. These techniques are powerful tools in the data scientist's toolkit, allowing us to build more robust and interpretable models. 🌟 #DataScience #MachineLearning #LinearRegression #RidgeRegression #LassoRegression #PLS #PCA #FeatureSelection #BigData

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