The perpetually undervalued least-squares:
minₓ‖y−Ax‖²
can teach a lot about some complex ideas in modern machine learning including overfitting & double-descent.
Let's assume A is n-by-p. So we have n data points and p parameters
1/n
0.999... is equal to 1
The sum of an infinite geometric series can be found
S = a/(1 - r)
where S is the sum, a is the first term, and r is the common ratio.
In this case, the first term is a = 9/10 and the common ratio is r = 1/10. We get:
S = (9/10)/(1 - 1/10) = 1
QED
This is 'The Intangible Dragon', a resident of non-euclidean spaces. I created this for the competition held by @cmitiisertvm for pi-week and won 1st Prize!
I loved creating this and felt very satisfied at the end :)
The Frontier Symposium 2023 in the School of Mathematics, IISER TVM was a huge success with so many great talks by eminent mathematicians and remarkable participation from the students of IISER TVM and students from all over India. @tvmiiser@cmitiisertvm
Greetings! Math Enthusiasts, we have great news for you! School of Mathematics brings to you the Frontier Symposium in Mathematics 2023. This year we have a great set of talks planned for you with speakers from India and abroad!
Hope you can join us, scan the QR code to register
Feels pretty good when a viral “why aren’t math books written like this??” tweet perfectly describes how I wrote both of my books.
Seems like the people want Long-Form Math! https://t.co/5Yp2IdLTgg
Train your mind to tackle unfamiliar challenges!
"The joy in solving a problem comes from the mathematical journey your curiosity takes you on" says Prof. Ila Varma (University of Toronto), Director of PROMYS India.
Apply by 15 February 2023: https://t.co/L3VuBJmHiv
A husband and wife math duo solved an algebraic question that went unanswered for more than a century. Learn more on the newest episode of the Quanta Science Podcast: https://t.co/9ikRRQsP6M
The standard recipe for multiplying a 2-by-2 matrix requires eight multiplications. In 1969, Volker Strassen discovered a procedure that uses seven rather than eight multiplication steps. Strassen’s approach was later proved to be optimal. https://t.co/gIwymlEJvV
CMIT is here with a two day workshop in mathematics. Teachers from around Trivandrum are here to attend the lectures by eminent professors. Hope these two days are fun!
We welcome all our new BSMS students, batch 2022, to our beautiful Institute @tvmiiser. We wish you all the luck and look forward to best results from you all.
#Batch2022#orientationprogramme