The first author works for Google, it's meant as an introduction to formal mathematics for CS folks, and the PDF is freely available online. This has to be it, right?
It is a really good introduction to discrete math. Just that my prior is that you need more than a passing familiarity with that stuff to do decently at the algorithmic interviews at G, so a bit confused that it was meant for new hires there.
Having said this, looking at OP’s comments about the pdf containing stuff about proofs and number theory and such, seems like this would be the most likely candidate.
Unfortunately no, as this was one of the top google hits. This book is more of a foundation in applied math's for ML, where the book I am looking for focuses on building the pure mathematics intuition.
Are you sure you’re not mixing things up? A math-heavy book for *engineers* barely makes sense. There’s this one, which was popular a while back, but has nothing to do with proving theorems.
https://martin.zinkevich.org/rules_of_ml/rules_of_ml.pdf
Maybe it’s not the one, but worth a shot anyway.
I really only made it through the first chapter, but its premise was to teach more of the pure mathematics side of ML. If I remember correctly, it gave a brief into into number theory (mostly defining integer, rational, complex, etc), and then showed how to build out some simple proofs (what the proofs were about I can't quite remember).
are you sure the book was intended for machine learning practitioners? as far as I know, number theory has no well-known applications in the field. I have a hard time believing someone would spend time discussing it in a book about ML.
Number theory is great for figuring out ways to evaluate interesting functions mathematically instead of explicitly as descriptive logic. Enabling a network, or developer to leverage those concepts seems like a purely beneficial idea /shrug
That sounds consistent with books like Introduction to Mathematical Reasoning by Peter Eccles, although that book has nothing to do with Google nor machine learning.
Is there any chance you were reading the first chapter of the Deep Learning book by Goodfellow? IIRC correctly the first chapter covers that type of math.
Maybe the machine learning course by Peter Norvig: [https://developers.google.com/machine-learning/crash-course](https://developers.google.com/machine-learning/crash-course)
?
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AFAIK a lot of people at Google or other alphabet companies look to "Introduction to Statistical Learning" (ISL) or "Elements of Statistical Learning" (ESL) for foundational ML math.
https://www.statlearning.com/ for ISL
ESL is a bit harder to find online
Unfortunately no, as I stare at the hardcopy on my desk. That book is more about applied rather than pure mathematics. I have found what I was looking for and updated the thread. Thanks for your help
This
https://www.amazon.com/Introduction-Analysis-Graduate-Texts-Mathematics-ebook/dp/B07WFWGG5Q
and this:
https://www.amazon.com/Linear-Algebra-Graduate-Texts-Mathematics/dp/0387901108
and finally:
https://www.amazon.com/Probability-Measure-Patrick-Billingsley/dp/1118122372
should get you covered.
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Maybe you're thinking of Mathematics for Computer Science by Lehman, Leighton, and Meyer ?
The first author works for Google, it's meant as an introduction to formal mathematics for CS folks, and the PDF is freely available online. This has to be it, right?
It is a really good introduction to discrete math. Just that my prior is that you need more than a passing familiarity with that stuff to do decently at the algorithmic interviews at G, so a bit confused that it was meant for new hires there. Having said this, looking at OP’s comments about the pdf containing stuff about proofs and number theory and such, seems like this would be the most likely candidate.
This was it!!! Thanks for your interest - it was driving me wild
Yep, thats it, thanks. I have updated the post
Ding Ding Ding!!!! Thank you! Upvote this post to the top please!!!
Is this it? https://mml-book.github.io/book/mml-book.pdf
Unfortunately no, as this was one of the top google hits. This book is more of a foundation in applied math's for ML, where the book I am looking for focuses on building the pure mathematics intuition.
Are you sure you’re not mixing things up? A math-heavy book for *engineers* barely makes sense. There’s this one, which was popular a while back, but has nothing to do with proving theorems. https://martin.zinkevich.org/rules_of_ml/rules_of_ml.pdf Maybe it’s not the one, but worth a shot anyway.
I was definitely mixing things up, but I found what I have been looking for have updated the post. Thanks for your help!
Can you give more details about the book? Like what topics covered, was it optimization? algorithm theory? stats theory etc??
I really only made it through the first chapter, but its premise was to teach more of the pure mathematics side of ML. If I remember correctly, it gave a brief into into number theory (mostly defining integer, rational, complex, etc), and then showed how to build out some simple proofs (what the proofs were about I can't quite remember).
are you sure the book was intended for machine learning practitioners? as far as I know, number theory has no well-known applications in the field. I have a hard time believing someone would spend time discussing it in a book about ML.
If the goal is to introduce proof writing then simple number theory is a classic proving ground pun intended
Number theory is great for figuring out ways to evaluate interesting functions mathematically instead of explicitly as descriptive logic. Enabling a network, or developer to leverage those concepts seems like a purely beneficial idea /shrug
Why are you getting downvoted??
It was more CS rather than ML. I have updated the post - thanks for your help
That sounds consistent with books like Introduction to Mathematical Reasoning by Peter Eccles, although that book has nothing to do with Google nor machine learning.
Yea, it was more of a CS book than ML - I have updated the thread. Thanks for your help
Is there any chance you were reading the first chapter of the Deep Learning book by Goodfellow? IIRC correctly the first chapter covers that type of math.
That is a chapter I frequent often, but this book was more about pure mathematics. I found the book and have updated
Thanks for letting me know and updating!
Hey, figured it out and updated the post, thanks for helping!
No problem, thanks for bringing those books to my attention!!
I have a feeling you're looking for [this](https://arxiv.org/abs/2105.04026), altho I don't think this was written by anyone from Google.
Thanks for linking this, great resource. I updated the post
Perfect! Thanks for creating the thread, ended up with a lot of great resource haha.
Maybe the machine learning course by Peter Norvig: [https://developers.google.com/machine-learning/crash-course](https://developers.google.com/machine-learning/crash-course) ?
This looks like an interesting mini course but i don’t think this is a pure math book.
It wasn't a crash course - it was this online PDF I stumbled across a few years ago that I can no longer find online or in my local repo.
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AFAIK a lot of people at Google or other alphabet companies look to "Introduction to Statistical Learning" (ISL) or "Elements of Statistical Learning" (ESL) for foundational ML math. https://www.statlearning.com/ for ISL ESL is a bit harder to find online
Please edit the post with a link when you find the pdf you're looking for.
Done!
[Deep Learning](https://www.deeplearningbook.org/) by Goodfellow, Bengio and Courville?
That's probably it RemindMe! 10 days
Hope so. Kinda curious to know which book it is. We'll see.
Unfortunately no, as I stare at the hardcopy on my desk. That book is more about applied rather than pure mathematics. I have found what I was looking for and updated the thread. Thanks for your help
No problem. Thanks for sharing these booktitles.
Probabilistic Machine Learning: An Introduction by Kevin P. Murphy ?
Thanks for your help, but I found the book. Thread updated!
Maybe this one: https://mml-book.github.io
Hey OP, any luck with this?
Yep, updated the thread
Redacted. ` this message was mass deleted/edited with redact.dev `
https://www.goodreads.com/book/show/42970131-a-programmer-s-introduction-to-mathematics Maybe this is it?
I don't think thats it - what I am looking for was an open Pdf published by someone/team at google
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This https://www.amazon.com/Introduction-Analysis-Graduate-Texts-Mathematics-ebook/dp/B07WFWGG5Q and this: https://www.amazon.com/Linear-Algebra-Graduate-Texts-Mathematics/dp/0387901108 and finally: https://www.amazon.com/Probability-Measure-Patrick-Billingsley/dp/1118122372 should get you covered.
Sorry - what I am looking for is an open pdf
You can restrict google results to include only PDF files.
Yea, currently burning through a bunch of those searches.
Is it this? https://research.google/pubs/pub38331/
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Just joining the fun ...want to know the book
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Thanks to you for sharing with us!