The backward stage, a.k.a. pruning stage, goes through functions one at a time and deletes the ones that add no material

as always helped me process my emotions about it. I developed a little routine during the pandemic. I pored over case reports and watched MSNBC. I got in the habit of checking their chyrons in the morning and at night, and saw how the numbers continued to rise. I watched journalists interview nurses and doctors, and I focused on the pressure wounds that ringed their noses and mouths, noticed how the doctors’ eyes filled with tears, and I felt my eyes do the same. I watched the stories about the pandemic in other countries. I saw overrun hospitals and stressed physicians. I heard about how they rationed equipment in some places. I turned the television off and found the same ethical debates on social media. There were impassioned messages saying that disabilities should preclude you from treatment. I read arguments about quality of life. I wondered if they’d use that reasoning to deny care to me. I turned the computer off.

On one hand it shouldn’t be a big deal, but I’m impressed with NuxtJS approach to add layouts and want to create something similar. If you are not familiar with NuxtJS way, I can say two words: “It’s amazing”. You can define your layout as a component’s property and you shouldn’t add higher order components to add layouts into your application. But let’s forget NuxtJS for now and look what can we do with layouts in VueJS.

Note that the py-earth package is only compatible with Python 3.6 or below at the time of writing. If you are using Python 3.7 or above, I suggest you create a virtual environment with Python v.3.6 to install py-earth.

Today, I’d like to talk with you about layouts system for your VueJS application. My friend Philipp was asking me how to add different layouts for his bakery application. After hours of googling, he found some interesting tricks and asking me what I’m thinking about VueJS layouts. In this article I decided to share my mind about this topic and show you tricks how to create smart layouts for VueJS project.

Let us plot two graphs to visualize the results, one for multiple linear regression and another for multivariate adaptive regression splines. But before that, we need to generate a mesh with a range of input values and predict output values. This will give us the data for our two graphs.

Since we increased the number of dimensions, we now have two slope parameters in a linear regression model (one for each x). We also have 4 hinge functions that have been added to the MARS model using both independent variables.

It is easy to see the difference between the two models. Multiple linear regression creates a prediction plane that looks like a flat sheet of paper. Meanwhile, MARS takes that sheet of paper and folds it in a few places using hinge functions, enabling a better fit to the data.

Let us take ‘X3 distance to the nearest MRT station’ as our input (independent) variable and ‘Y house price of unit area’ as our output (dependent, a.k.a. target) variable.

Next, we download and ingest the data that we will use to build our MARS and linear regression models. (source: https://www.kaggle.com/quantbruce/real-estate-price-prediction?select=Real estate.csv)

If you wondered what that feature image represented at the beginning of the story, you should now be able to see that it overlays the predictions from linear regression and MARS models to help you see how the prediction outputs differ using each model.

Multivariate adaptive regression splines algorithm is best summarized as an improved version of linear regression that can model non-linear relationships between the variables. While I demonstrated examples using 1 and 2 independent variables, remember that you can add as many variables as you like.

Note the kink at x=1146.33. This is where the hinge function h(c-x) becomes zero, and the line changes its slope. The graph makes it very intuitive to understand how MARS can better fit the data using hinge functions.

Looking at the graph above, we can clearly see the relationship between the two variables. The price of a house unit area decreases as the distance from the nearest MRT station increases.

As you can see, the MARS model added two hinge functions in the forward stage, but then it pruned h(x0–1146.33) from the model in the backward stage. Hence, the final equations for the two models are:

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The backward stage, a.k.a. pruning stage, goes through functions one at a time and deletes the ones that add no material

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