How to implement Linear Regression from scratch with Python

In the second lesson of the Machine Learning from Scratch course, we will learn how to implement the Linear Regression algorithm.
You can find the code here: github.com/Ass...
Previous lesson: • How to implement KNN f...
Next lesson: • How to implement Logis...
Welcome to the Machine Learning from Scratch course by AssemblyAI.
Thanks to libraries like Scikit-learn we can use most ML algorithms with a couple of lines of code. But knowing how these algorithms work inside is very important. Implementing them hands-on is a great way to achieve this.
And mostly, they are easier than you’d think to implement.
In this course, we will learn how to implement these 10 algorithms.
We will quickly go through how the algorithms work and then implement them in Python using the help of NumPy.
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#MachineLearning #DeepLearning

[@Artificial_Intelligence_AI]

This channel is amazing ❤. This is the type of content a lot of instructors forget to teach you when you’re learning ML but this girl explains everything very well from scratch. Congratulations for your content and I hope to watch more of your videos, you deserve more views for this incredible job.

[@LouisDuran]

Woman

[@MU_2000]

Thank you for this video. Before i wached it i spend a couple of day to understand how to make custome code without frameworks ))

[@bendirval3612]

Wow, that really was from scratch. And the hardest way possible. But it's perfect for teaching python. Thanks!

[@AssemblyAI]

You're very welcome :)

[@afizs]

I have used Linear Regression many times, but never implemented from scratch. Thanks for an awesome video. Waiting for the next one.

[@AssemblyAI]

That's great to hear Afiz!

[@kamranzamanni6826]

Thanks for making it easy to follow along!

[@tienshinhan8189]

I rarely bother commenting because I'm rarely impressed. This video was amazing. I love that you're showing theory and OOP. Usually I see basic definitions and code all in one script.

[@AssemblyAI]

Wow, thank you!

[@haseebmuhammad5145]

I was seeking such kind of lectures. Lectures are awesome

[@1Rashiid]

perfect explanation! Thank you.

[@markkirby2543]

This is amazing. Thank you so much for all your clear explanations. You really know you stuff, and you make learning this complex material fun and exciting.

[@l4dybu9]

Thank u so much for this video. 💖💖 It's makes us feel more confident when we know how to do it drom scratch than using libraries ✨

[@AssemblyAI]

That's great to hear!

[@ayo4590]

Thank you so much, this video really helped me get started with understanding machine learning algorithms. I would love if you could do a video on how you would modify the algorithm for multivariate linear regression.

[@compilation_exe3821]

YOU guys are AWWWWESOME

[@AssemblyAI]

Thank you :)

[@lamluuuc9384]

I think there is a problem of missing the 2 multiplication in calculating dw, db in the .fit() method: dw = (1/n_samples) * np.dot(X.T, (y_pred-y)) * 2 db = (1/n_samples) * np.sum(y_pred-y) * 2 If we follow the slides, it's not absolutely wrong but it can affect the learning rate

[@priyanshumsharma4276]

No, after derivation, there is no square.

[@zh7866]

The comment suggests multiplication with 2 based on derivation rule NOT square

[@jhicks2306]

Agree with this! Also, thanks, Misra, for the awesome video series.

[@surajsamal4161]

@@priyanshumsharma4276 he's not talking about the square he's talking about the square which came down cause of derivative

[@luis96xd]

Amazing video, I liked the code and the explanations, it was easy to read and understand, thanks! 😁👍👏💯

[@AssemblyAI]

Great to hear!

[@GeorgeZoto]

Another amazing video! Slight typo in the definition of matrix multiplication and =dw part as well as an omission on the constant 2 (which does not effect calculations much) in the code when you define the gradients but other than that this is beautiful 😃

[@AssemblyAI]

Thanks for that!

[@m.bouanane4455]

The gradient calculation lacks the multiplication by coefficient 2, I guess.

[@sajinsanthosh9536]

followed the tutorial exactly right, but still different. Using trial version. Thank you*

[@AssemblyAI]

You're welcome :)

[@KelvinMafurendi]

Great explanations indeed. The transition from theory to implementation in Python was awesome! Say, is this a good starting point for a beginner in Data Science or I should stick to the out-of-the-box sklearn methods for now?

[@1000marcelo1000]

Amazing video! I learned so much from it! Congrats!!! Could explain more detailed all of this and show next steps like "where" and "how" this can be implemented further in some scenarios?

[@kreativeworld2073]

Thank you so much. It really helped me understand the entire concept:)

[@AbuAl7sn1]

thanks lady .. that was easy

[@parthaguha4705]

Awesome explanation😇

[@AssemblyAI]

Glad you liked it!

[@AndroidoAnd]

I am not sure if you copied this code from Patrick Loeber. He has a youtube video with the same code posted years ago. If you did, please give credit to Patrick. This is the name of his video: Linear Regression in Python - Machine Learning From Scratch 02 - Python Tutorial

[@MahmouudTolba]

your code is clean

[@AssemblyAI]

Thank you!

[@akifarslan6022]

Güzel video

[@rajesh_ramesh]

the gradient part actually misses the coefficient 2 in both differentiations (dw, db) and y - y^

[@mohamedsadeksnoussi8479]

The content is really insightful, but for dw and db, should it be (2/n_samples) instead of (1/n_samples) ?

[@adarshtiwari7395]

did you figure out why she used the equations without 2 in the video?

[@mohamedsadeksnoussi8479]

Hi@@adarshtiwari7395, unfortunately no. But (2/n_samples) appears to be correct. I checked out other resources and all of them used (2/n_samples). You can even try it by yourselves, (1/n_samples) doesn't affect the model behavior (performance), but from my point of view, it's incorrect.

[@prashantkumar7390]

@@adarshtiwari7395 It doesn't change our actual optimisation problem, I mean when the mean_square_loss is minimised, any scalar*mean_square_loss will be minimised. Hence using 2 or not doesn't make a difference at all.

[@mohammedabdulhafeezkhan4633]

@@prashantkumar7390 But it is better to use 2 in the equation, even though it's a constant and doesn't affect the outcome in a major way.

[@prashantkumar7390]

@@mohammedabdulhafeezkhan4633 it doesn't affect the outcome AT ALL.

[@harry-ce7ub]

Do you not need to np.sum() the result of np.dot(x, (y_pred-y)) in dw as well as multiply by 2?

[@rajesh_ramesh]

we have too

[@alexisadr]

Thank you!

[@AssemblyAI]

You're welcome!

[@KumR]

Wow... Awesome.. Do you have something like this for Deep learning algo ?

[@rbodavan8771]

how you designed your video templets is awesome. but it would be good for learner if you also post it on kaggle notebook and link it each other. sometimes it's happened to me like best to read then watch. let me know your thought

[@AssemblyAI]

You can find the code in our github repo. The link is in the description :)

[@MartinHolguin-d3k]

your explanation is amazing and I see how linear regression works however this only works with 1 feature and if you want to implement it with more than one it will fail.

[@srinivasanshanmugam9527]

Thanks for this video, May I know , why we need to run in a for loop for 1000 iterations?

[@omaramil5103]

Thank you ❤

[@AssemblyAI]

You're welcome 😊

[@سعیداحمدی-ل1ث]

ادامه بده دختر کارت عالیه ممنون ازت

[@LouisDuran]

WHat check could be added in the case that the model is not converging to the best fit within the n_iters value?

[@2122345able]

where is the part where gradient decent is being coded , how the code will know when to stop ?

[@okefejoseph6825]

Is there a way I can get the slide?

[@gechimmchanel2917]

Has anyone encountered the same situation as me when given a larger dataset with about 4 weights and 200 rows, the result predicts -inf or NaN , anyone have a way to fix this??

[@gechimmchanel2917]

[-inf -inf -inf] -inf [-inf -inf -inf] -inf [-inf -inf -inf] -inf result của weight and bias :))

[@سعیداحمدی-ل1ث]

لطفا ویدیو های بیشتری بسازید

[@tiagosilva856]

Where did you put the "2" of the mathematical formula in dw and db on phyton?

[@mgreek31]

the 2 is a scaling factor that can be omitted.

[@tiagosilva856]

@@mgreek31 ty. I understand. But omitting that don't change the performance? M.S.E still be the same if we don't ommite the "2"?

[@mgreek31]

@@tiagosilva856 MSE will still be the same. intuitively if you multiply the 2 in the formula it scales the x for all values of x, therefore removing it will affect the whole dataset in the same way as if nothing happened

[@traagshorts4617]

How did you fit the dimensions for the test and weights in the predict function

[@shivamdubey4783]

can you plzz explain why we took x.T transpose

[@0xmatriksh]

It is because we are doing dot product of two matrices here. So we need two matrices to be in the form of mxn and nxp, that means the number of columns in first matrix should be same as the number of rows in second matrix. And here, Suppose number of rows of X is n(which is same as y) But the n is number of rows for both of them so we transpose X to make n in column to match the n of mxn and nxp(like explained above) to successfully dot product them

[@surendrakakani7014]

I have taken input(200 ,1) while executing above program i am getting y_pred as (200,200) can and geting dw shape as (1,200) but dw should be (1,1) right any body explaing is that correct

[@ge_song5]

what's her name?

[@prigithjoseph7018]

Hi can you please upload, presentation file also

[@jinxiong2973]

how to improve my attention span , I have good ideas and soft that I tNice tutorialnk up , the problem is putting it down in fruit loops and knowing

[@timuk2008]

J'(m,b) = [df / dm df/db] ===> m is the w

[@hiteshmistry413]

Thank you very much, You made Linear Regression very easy for me. Here is how the linear regression training looks like in action "kzbin.info/www/bejne/aILUfZ-VrNWZidE"

[@hannukoistinen5329]

Forget Python!!! It's just fashionable right now. R is much, much better!!!

[@saideeppandey3788]

Pls note x.wtranspose because w is (1,n)