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Ridge utilizes an L2 penalty and lasso uses an L1 penalty. With elastic net, you don't have to choose between these two models, because elastic net uses both the L2 and the L1 penalty! In practice, you will almost always want to use elastic net over ridge or lasso, and in this article you will learn everything you need to know to do so, successfully!","fields":{"layout":"post","slug":"/machine_learning_models/elastic_net_regression/"}}},{"node":{"frontmatter":{"title":"Coordinate Descent fExplained, Step by Step","date":"2021-06-21T09:57:19.270Z","dateModified":"2021-06-21T09:57:19.270Z","tags":["Machine Learning Math"],"draft":true,"excerpt":"Gradient descent is one of the most famous techniques in machine learning and used for training all sorts of neural networks. But gradient descent can not only be used to train neural networks, but many more machine learning models. In particular, gradient descent can be used to train a linear regression model! If you are curious as to how this is possible, or if you want to approach gradient descent with smaller steps and not jump straight to neural networks, this post is for you. You will learn how gradient descent works from an intuitive, visual, and mathematical standpoint and we will apply it to an exemplary dataset in Python.","uniquePostId":14,"timeToRead":23,"tutorialId":null,"tutorialEntryIdx":null,"dependencies":[],"proficiencyLevel":"Beginner","image":{"childImageSharp":{"gatsbyImageData":{"layout":"fullWidth","placeholder":{"fallback":"data:image/png;base64,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"},"images":{"fallback":{"src":"/static/91475ad9adac7597607270813dec3fe7/87706/CoordinateDescent_Thumbnail.png","srcSet":"/static/91475ad9adac7597607270813dec3fe7/0dee1/CoordinateDescent_Thumbnail.png 750w,\n/static/91475ad9adac7597607270813dec3fe7/8beaa/CoordinateDescent_Thumbnail.png 1080w,\n/static/91475ad9adac7597607270813dec3fe7/87706/CoordinateDescent_Thumbnail.png 1280w","sizes":"100vw"},"sources":[{"srcSet":"/static/91475ad9adac7597607270813dec3fe7/a66aa/CoordinateDescent_Thumbnail.webp 750w,\n/static/91475ad9adac7597607270813dec3fe7/65dd5/CoordinateDescent_Thumbnail.webp 1080w,\n/static/91475ad9adac7597607270813dec3fe7/71d4d/CoordinateDescent_Thumbnail.webp 1280w","type":"image/webp","sizes":"100vw"}]},"width":1,"height":0.5625}}},"author":[{"id":"Lari Giba","bio":"Hi! 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But gradient descent can not only be used to train neural networks, but many more machine learning models. In particular, gradient descent can be used to train a linear regression model! If you are curious as to how this is possible, or if you want to approach gradient descent with smaller steps and not jump straight to neural networks, this post is for you. You will learn how gradient descent works from an intuitive, visual, and mathematical standpoint and we will apply it to an exemplary dataset in Python.","fields":{"layout":"post","slug":"/machine_learning_math/coordinate_descent/"}}},{"node":{"frontmatter":{"title":"Lasso Regression Explained, Step by Step","date":"2021-06-20T16:35:36.458Z","dateModified":"2021-06-26T08:28:02.234Z","tags":["Machine Learning Models"],"draft":false,"excerpt":"Lasso regression is an adaptation of the popular and widely used linear regression algorithm. It enhances regular linear regression by slightly changing its cost function, which results in less overfit models. Lasso regression is very similar to ridge regression, but there are some key differences between the two that you will have to understand if you want to use them effectively. In this article, you will learn everything you need to know about lasso regression, the differences between lasso and ridge, as well as how you can start using lasso regression in your own machine learning projects.","uniquePostId":10,"timeToRead":16,"tutorialId":null,"tutorialEntryIdx":null,"dependencies":[],"proficiencyLevel":"Beginner","image":{"childImageSharp":{"gatsbyImageData":{"layout":"fullWidth","placeholder":{"fallback":"data:image/png;base64,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"},"images":{"fallback":{"src":"/static/1cbee7448495e7e7fa3771995e853206/87706/LassoRegression_Thumbnail.png","srcSet":"/static/1cbee7448495e7e7fa3771995e853206/0dee1/LassoRegression_Thumbnail.png 750w,\n/static/1cbee7448495e7e7fa3771995e853206/8beaa/LassoRegression_Thumbnail.png 1080w,\n/static/1cbee7448495e7e7fa3771995e853206/87706/LassoRegression_Thumbnail.png 1280w","sizes":"100vw"},"sources":[{"srcSet":"/static/1cbee7448495e7e7fa3771995e853206/a66aa/LassoRegression_Thumbnail.webp 750w,\n/static/1cbee7448495e7e7fa3771995e853206/65dd5/LassoRegression_Thumbnail.webp 1080w,\n/static/1cbee7448495e7e7fa3771995e853206/71d4d/LassoRegression_Thumbnail.webp 1280w","type":"image/webp","sizes":"100vw"}]},"width":1,"height":0.5625}}},"author":[{"id":"Lari Giba","bio":"Hi! I'm Lari and I run this website. You can find more information in the \"About\"-tab.","avatar":{"children":[{"fluid":{"base64":"data:image/jpeg;base64,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","aspectRatio":0.7407407407407407,"src":"/static/9eab840ebd4087faf31c48702c92af36/2f1b1/lari.jpg","srcSet":"/static/9eab840ebd4087faf31c48702c92af36/b3d27/lari.jpg 40w,\n/static/9eab840ebd4087faf31c48702c92af36/5a735/lari.jpg 80w,\n/static/9eab840ebd4087faf31c48702c92af36/6e81a/lari.jpg 120w,\n/static/9eab840ebd4087faf31c48702c92af36/2f1b1/lari.jpg 800w,\n/static/9eab840ebd4087faf31c48702c92af36/75b83/lari.jpg 1520w","sizes":"(max-width: 800px) 100vw, 800px"}}]}}]},"excerpt":"Lasso regression is an adaptation of the popular and widely used linear regression algorithm. 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It enhances regular linear regression by slightly changing its cost function, which results in less overfit models. In this article, you will learn everything you need to know about Ridge Regression, and how you can start using it in your own machine learning projects.","uniquePostId":9,"timeToRead":26,"tutorialId":null,"tutorialEntryIdx":null,"dependencies":[],"proficiencyLevel":"Beginner","image":{"childImageSharp":{"gatsbyImageData":{"layout":"fullWidth","placeholder":{"fallback":"data:image/png;base64,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"},"images":{"fallback":{"src":"/static/bffad91bca399e12f65048348b2b2df8/87706/RidgeRegression_Thumbnail.png","srcSet":"/static/bffad91bca399e12f65048348b2b2df8/0dee1/RidgeRegression_Thumbnail.png 750w,\n/static/bffad91bca399e12f65048348b2b2df8/8beaa/RidgeRegression_Thumbnail.png 1080w,\n/static/bffad91bca399e12f65048348b2b2df8/87706/RidgeRegression_Thumbnail.png 1280w","sizes":"100vw"},"sources":[{"srcSet":"/static/bffad91bca399e12f65048348b2b2df8/a66aa/RidgeRegression_Thumbnail.webp 750w,\n/static/bffad91bca399e12f65048348b2b2df8/65dd5/RidgeRegression_Thumbnail.webp 1080w,\n/static/bffad91bca399e12f65048348b2b2df8/71d4d/RidgeRegression_Thumbnail.webp 1280w","type":"image/webp","sizes":"100vw"}]},"width":1,"height":0.5625}}},"author":[{"id":"Lari Giba","bio":"Hi! 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