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Learner Reviews & Feedback for Mathematics for Machine Learning: PCA by Imperial College London

4.0
stars
3,119 ratings

About the Course

This intermediate-level course introduces the mathematical foundations to derive Principal Component Analysis (PCA), a fundamental dimensionality reduction technique. We'll cover some basic statistics of data sets, such as mean values and variances, we'll compute distances and angles between vectors using inner products and derive orthogonal projections of data onto lower-dimensional subspaces. Using all these tools, we'll then derive PCA as a method that minimizes the average squared reconstruction error between data points and their reconstruction. At the end of this course, you'll be familiar with important mathematical concepts and you can implement PCA all by yourself. If you’re struggling, you'll find a set of jupyter notebooks that will allow you to explore properties of the techniques and walk you through what you need to do to get on track. If you are already an expert, this course may refresh some of your knowledge. The lectures, examples and exercises require: 1. Some ability of abstract thinking 2. Good background in linear algebra (e.g., matrix and vector algebra, linear independence, basis) 3. Basic background in multivariate calculus (e.g., partial derivatives, basic optimization) 4. Basic knowledge in python programming and numpy Disclaimer: This course is substantially more abstract and requires more programming than the other two courses of the specialization. However, this type of abstract thinking, algebraic manipulation and programming is necessary if you want to understand and develop machine learning algorithms....

Top reviews

WS

Jul 7, 2021

Now i feel confident about pursuing machine learning courses in the future as I have learned most of the mathematics which will be helpful in building the base for machine learning, data science.

JS

Jul 17, 2018

This is one hell of an inspiring course that demystified the difficult concepts and math behind PCA. Excellent instructors in imparting the these knowledge with easy-to-understand illustrations.

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576 - 600 of 781 Reviews for Mathematics for Machine Learning: PCA

By Omoloro O

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Aug 7, 2019

Compared to the first two courses in this specialisation, this course was not very engaging. Additionally it was often hard to see what the end-goal was and the instructor seemed to be going deep into details without making the practical reasoning behind it clear. Furthermore, a lot of the exercises involved repetitions of tasks that can easily be done by computers.

By Bruno R S

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Jul 12, 2022

A lilttle too torturing compared to other instances in the same specialization. The lectures are not enough for some of the assignments and the the notations used are somewhat obscure (too much abstract mathematics). Also, the entire course is nearly a review on the first instance instead of something new. Some problems with the programming assignments also.

By Nourman H

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Mar 19, 2021

This course is very different from the other two courses in the specialization. I've learned how to use numpy because of this course. But for me, the math part is not very thoroughly explained, it lacks example, and the instructor doesn't explain the math notations that he use. Good if you have time and a bunch of other resources to learn PCA and numpy.

By Ronny A

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Oct 15, 2018

The content is good. But there were Jupyter Notebook/Server problems. (i) Submit button on notebooks did not work. Posted about this and staff did not respond or help. Then I found a workaround and shared with others. (ii) The graded assignments could be run ok, but the optional ones could not run at all owing to server timeout/bandwidth problems.

By Dmytro D

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May 4, 2020

Very bad course. The content of any video don't correspond to tasks, assignments. Questions are formulated badly, I could not understand anything. Estimated time is wrong, it takes much longer to understand at least something. Programming assignments are crazy.Worst course in this specialization. No offence to teacher, but this tasks are

By Lucas O S

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Nov 7, 2019

Classers are good. However, the exercise platform is full of bugs. Notebook keeps disconnecting, making it unable to save the latest changes. The automatic grader requires a very specific implementation in the last notebook, which is not mentioned anywhere and can you make lose hours debugging an implementation that is otherwise correct.

By Tetteh H

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Jan 22, 2021

I found this very challenging as there are fewer explanation of concepts. there was a huge difference between the lecture's exercise and the practice exercise or the quizzes, the lecturer's exercises were easy with no difficulty but the quizzes. If you want to take this course, be self-prepared to bring out the best in you.

By Jim A

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Apr 15, 2020

The course should be longer and build a stronger foundation in order for the assignments to not feel disconnected from the instruction. There was a large amount of redundancy from previous courses. The PCA instruction from week 4 needs more development/insight. Great specialization overall. Part 3 needs more work though.

By Yuvaraj K

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Jan 2, 2022

This specialization course was really challenging. While I do understand that PCA topic is tough to cover in just a month, the concepts can still be explained down to our level like it wass in Calculus and Linear Algebra specialization. However I liked the course and thanks coursera for this wonderful journey.

By Toan L T

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Oct 3, 2018

Thank you to all the professors and staffs for such a wonderful program. I did learn a lot.

This last course is indeed a fun and challenging one. But it fells short compared to the other two due to some aspects which can be improved in the future.

Nevertheless, I'm glad that I can learn about PCA.

By Ankit C

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Apr 19, 2020

The course contents were good, but I felt the explanation was not so clear. Since PCA is a very important topic in Machine Learning, after explaining some new concept, the instructor could've solved a couple of examples with it, so that the newly registered concepts would be crystal clear.

By Gautam K

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Jun 24, 2020

Course content is very awesome. The instructor also teaches in a very splendid manner which makes it very easily understandable. But the evaluation method for practice exercise is very worse. Code get stuck for hours. It's been very frustrating waiting for code to get compiled.

By arnaud j

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Jun 12, 2018

This course is way more brutal than the two previous courses in the specializationIt is also very mathematically oriented, it lacks the graphics / animation / intuition that was given in the first two courses.However, if you make it, you indeed have a good understanding of PCA.

By Philipp R

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Mar 6, 2020

A lot of input in relatively short time, main points could be pointed out better in the videos. Assignments were tough but manageable, the instructions could be clearer and more detailed. However, being pushed to figure out things by yourself is also a learning opportunity.

By Xin W

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Nov 12, 2019

To me, the first 3 weeks in this course is good. But the 4th week is quite confusing. And I don't understand the applicable meaning for the materials in the 4th week. I may need to review what I learned in the 4th week and then decide whether I understand it completely.

By Manju S

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Jan 29, 2019

Good stuff:

Instructor has good knowledge of the subject. The course content structure is designed well.

Bad stuff:

Concepts could have been presented with more clarity. Programming assignments need more instructions and less assumption on what the students already know.

By Gabriel C

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Apr 24, 2020

Quality of the course is great, but I would question whether it belongs in this specialization given the huge jump in expected knowledge from the first two courses to this one. Relied alot on the forums and YouTube to gain sufficient knowledge to complete this course.

By Omar A B

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May 5, 2023

the course handles important topics but unfortunately NOT well covered in the videos, the instructor assumes previous knowledge of the topic I guess! The MultiVariable Calc course was amazing from start to end I expected at least the same quality :(

By Ashish P

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Oct 21, 2020

Instructor has done lot of hard work. However, the course is little rigorous. If it is possible, I request the team to upload few more videos for this module. Nevertheless, thank you so much. I have still learned a lot from this course.

By helen l

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Apr 27, 2020

The content is decent but there are some bugs in the programming assignments. Particularly the last two programming assignments. The auto-grader for the second to the last assignment passes in some input that is not of the correct form.

By V K

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Jul 23, 2020

The course content was very good,but the assignments were harder as knowledge of python libraries was required. It would be very helpful if you change the assignments as I feel the course should rather be about math than python

By YUCHEN O

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May 1, 2023

The first three weeks courses are ok and can follow, lecture in last week are very difficult to understand as the teacher skipped some of the steps and straightaway gave the derivation and lots of bugs in assignments.

By Pierre

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Apr 10, 2020

Positive points: At the end of the module, you get a good understanding on how PCA works. It fulfill its objective.

Negative points: The assignements are poorly directed, the material is not always clearly explained.

By Alexander Z

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Sep 14, 2018

Good Course, but

Too less examples to do the quizes on the first run.

Programming assignments are not clearly stated, so you need unnecessary much time to succeed.

I liked the Linear Algebra & Multivariate Modul more!

By devansh v

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Apr 3, 2020

The course is Satisfactory.The content is Good,no doubt about it,but many topics(both mathematical and computational) were unknown and coding assignments of Jupyter notebooks of this course(PCA) are very Buggy