I'm a big advocate for not hiding your enthusiasm for things. It seems to me that there is a false stigma around eagerness in our culture of unbothered ambivalence. This outlook perpetuates the idea that it's not cool to want it. That people who don't try are fundamentally more chic than people who do.
— Taylor Swift
Never be ashamed of trying, effortlessness is a myth.
Forward-mode and reverse-mode autodiff in python featuring dual numbers and graph traversals
1Hinweise zur deutschen Sprache [WIP]
16 May 2025
Eine Anmerkung jedes Mal, wenn mich die deutsche Sprache verwirrte
2Sums of random variables and convolutions
24 April 2025
A note on how Gaussians are convolved to make the reparameterization trick work in the diffusion forward process.
3Using shuf to select random ports in a cluster
12 April 2025
A few tricks in bash to generate random numbers
4JavaScript to change video playback speed
08 April 2025
because sometimes, you want to go faster than 2x
5Max Verstappen breaks Suzuka Lap Record!
05 April 2025
and for nostalgia's sake, a couple of perfect qualifying laps from Seb Vettel
604 April 2025
the horse jumps everywhere
726 March 2025
Masaki Kashiwara for contributions to algebraic analysis and representation theory
822 March 2025
Using this post to check if I have coded up everything I want in this blog.
920 March 2025
the best of the internet over the last season
1020 March 2025
he really dislikes the great man theory of history, but more than that, he dislikes Napoleon.
1105 March 2025
Andrew Barto and Richard Sutton for pioneering Reinforcement Learning
1221 December 2024
the best of the internet over the last season
1311 November 2024
Notas que he tomado mientras aprendía español.
14Troy, (2004) dir. Wolfgang Peterson
10 November 2024
some of the best lines from my all-time favourite movie
15Distilling Stockfish into a Transformer
29 October 2024
My thoughts on the "Grandmaster-Level Chess Without Search" paper from Google DeepMind
16New + Mersenne + Largest Prime Found
21 October 2024
After six long years, and for the first time using GPUs
17India win everything at the Chess Olympiads!
23 September 2024
Hopefully the beginning of something meaningful in Indian sport that is not cricket
1822 September 2024
the best of the internet over the last season
19An Elliptic Curve with Rank $\ge$ 29 has been found
31 August 2024
more math news from Mathstodon
20On the sums of multiples of two numbers
23 August 2024
A pattern that has evaded explanation for a long time, so I'm posting it here.
21$x^n/n!$ and Stirling's Formula
15 August 2024
What is the size of the shift between two successive curves and how do you show that they intersect at integer points?
2214 August 2024
After his Olympic Gold run
2311 August 2024
A much superior metric than the raw medal tally.
2420 July 2024
Building floating castles, literally and figuratively.
25Like a river of steel it flowed, grey and ghostlike
01 July 2024
An account of the WW1 German Army marching through Brussels by Richard Harding Davis.
2621 June 2024
the best of the internet over the last season
27A very nice ruler and compass geometry puzzle
14 June 2024
Find the shortest route between two points in a circle by touching the circumference along the route.
28Toni Kroos retires from professional football
29Easily the best brand ambassador for the sport
30International Women in Mathematics Day
12 May 2024
Remembering 2014 Fields Medallist Maryam Mirzakhani
31The Games of Robert James Fischer
30 April 2024
A LiChess study while I go through a couple books with his most famous games.
3229 April 2024
Some fun questions I've been trying to solve on and off this month
3324 April 2024
An appendix to my previous blog post on Isostasy
3422 April 2024
What is the tallest structure that can remain standing on an almost spherical mass?
3519 April 2024
Taylor Swift's eleventh studio album is out!
3611 April 2024
Avi Wigderson for foundational contributions to the theory of computation.
3710 April 2024
and some more thermodynamics
3831 March 2024
A discontinuity paradox
3921 March 2024
Michel Talagrand for contributions to probability theory and functional analysis
4020 March 2024
the best of the internet over the last season
4114 March 2024
celebrate by declining all meetings
42Richard Hamming on Claude Shannon
29 February 2024
An anecdote that stuck out to me from Hamming's You and Your Research
43Dimensional Analysis on Loss Functions
20 February 2024
A half-baked idea I had while checking my equations
44Silman's Complete Endgame Course
10 February 2024
A book review
4505 February 2024
My notes while trying to make sense of the Navier Stokes problem
4631 January 2024
and my attempts to relearn thermodynamics
4728 January 2024
Notes from Stephen Wolfram's blog
4824 January 2024
Some notes on rod-cutting, LCS, and 0-1 Knapsack...
4917 January 2024
One of the most important problems to work on at this point in history.
5007 January 2024
explicit constructions of sets with more unique pairwise sums than differences
5130 December 2023
How does the weight we lose exactly leave our body?
5221 December 2023
the best of the internet over the last season
5328 November 2023
GitHub issue tracking much needed changes
54F. Scott Fitzgerald about the first world war
27 November 2023
from Tender is the Night
55Segmentation model outputs as prompts to SAM
11 November 2023
Some ideas on improving semantic segmentation with SAM
5603 November 2023
a very elegant proof that I learnt after many hours of toil
5727 October 2023
The re-recording of Taylor Swift's fifth studio album is out!
58How do you know what you care about?
13 October 2023
Correspondence with a friend
5903 October 2023
At the time of the grand reveal
6003 October 2023
UPenn apparently fired a future Nobel Prize winner and are attempting to recoup their losses
61Max-bounds on information travel speeds
26 September 2023
A dumb attempt by me to go faster than the speed of light
6223 September 2023
the best of the internet over the last season
6322 September 2023
Analysis of Entry A004207 in the OEIS
6419 September 2023
A rant
65A Variation of the Four Fours Problem
05 September 2023
Streaming while doing math
6605 September 2023
A rant
67Seam Carving — Energy Function
01 September 2023
Live Coding Seam Carving Part 2
6818 August 2023
A review of the Richard Rhodes book
6917 August 2023
Some cool facts about Beethoven's masterpiece from John Carlos Baez on Mathstodon
70Intermediate Activations in Llama 2.7B
13 August 2023
there is a country layer in the llama 2 transformer
7110 August 2023
Partly a book review, partly a rant
72the inexorable march of time...
08 August 2023
where does this phrase come from?
7306 August 2023
from Complications by Atul Gawande
7405 August 2023
Imagine winning two Nobels for Physics
7503 August 2023
A very nice method to have in your problem-solving toolkit
76Muse, tell me of the man of many wiles
26 July 2023
The opening lines from Allen Mandelbaum's translation of The Odyssey
77Conway's Game of Life is omniperiodic!
22 July 2023
A very good thread (with an unexpected Alexander crossover) from Mathstodon
7821 July 2023
an elegant problem with an even more elegant solution
79Einstein Summation Notation Exercises
13 July 2023
Exercises in faster and more intuitive tensor notation for deep learning.
80John Conway's Doomsday Algorithm
12 July 2023
This is a very good party trick to learn
8107 July 2023
The re-recording of Taylor Swift's third studio album is out!
82Faster Factorial Approximations
02 July 2023
Comparing factorial computation times vs. approximation as exponentiation, gamma functions, and Stirling's approximation.
8321 June 2023
the best of the internet over the last season
84Rafael Nadal's dominance at Roland Garros
04 June 2023
some perspective by Nicholas Mahut
8526 May 2023
What does this even mean?
86Convergence of an Arithmetic Mean Series
14 May 2023
Prove that a series where each term is the arithmetic mean of the previous two terms converges.
8708 May 2023
realistically, what is stopping him before 2026?
88Get Some Free Speech While You Can
14 April 2023
Freedom of expression isn't the tool of the powerful; it's the tool of the powerless
89Field Trip to Citi Neuro Hospital
29 March 2023
a travel journal of sorts
9021 March 2023
the best of the internet over the last season
9121 March 2023
How I work with $\LaTeX$ locally instead of using OverLeaf
9228 January 2023
some thoughts and questions
9307 January 2023
some cool stuff I learnt from a podcast
94Visualizing and Working with Audio Files
27 December 2022
Helper code that has different ways to visualize audio files, mostly for future reference.
95Lionel Messi is a World Champion!
19 December 2022
every head must bow, every tongue must confess
96Root Finding with Newton's Method
18 December 2022
Testing whether Newton's method decays updates exponentially
97Exercises in Number Theory [UFO]
05 December 2022
Proofs and solutions from "Elementary Introduction to Number Theory" by Calvin Long
9807 November 2022
One of these is not like the other
99Seam Carving — Intuition and Ideas
30 October 2022
Live Coding Seam Carving Part 1
10021 October 2022
Taylor Swift's tenth studio album is out!
10119 October 2022
some solutions I wrote up
10201 October 2022
The neuroscience of speaking multiple languages, and switching between them.
103Act III Scene II, Julius Caesar
18 September 2022
The greatest speech ever written in my opinion, I'm learning to perform this
104Sebastian Vettel's Greatest Hits
11 September 2022
indulging in some nostalgia
10527 August 2022
by Charles Bukowski
10617 August 2022
A collection of chess endgames that I found interesting/tricky.
107Sebastian Vettel F1 retirement
28 July 2022
I guess it was inevitable
108Cristiano Ronaldo in The Player's Tribune
21 July 2022
a collection of my favourite lines from the article
10907 July 2022
Is it right?
1104th BongCloud Classical Chess Tournament
06 July 2022
My first OTB chess tournament!!
11105 July 2022
number theory, sphere packing, and chromatic polynomials
11221 June 2022
the best of the internet over the last season
11320 June 2022
The inbuilt ceil function was being very unwieldy. I prefer defining my own inline function now.
11410 June 2022
something about crossing water bodies
115Rafael Nadal wins the 2022 French Open!
05 June 2022
Twenty Two Grand Slams and counting...
116Real Madrid win La Decimocuarta!
29 May 2022
somos los reyes de europa
11707 May 2022
why aren't we working lesser hours even with technological advancement?
11815 March 2022
Lecture Notes of the 2007 Series at Yale taught by Shelly Kagan along with some personal opinions.
119Nietzsche's "Morality is Cowardice"
06 March 2022
harmless =/= moral
12001 March 2022
the burden of proof of a crime falls upon the state, or something along those lines
121Rafael Nadal wins the 2022 Australian Open
30 January 2022
Twenty One Grand Slams!
12229 January 2022
Probably the most talented driver in the 21st century
12324 January 2022
easily the greatest poem ever written, with emphasis on my favourite lines, which is like 80% of the poem.
12423 January 2022
My attempt to understand this strangest of phenomena. Something I think can revolutionize modern medicine.
12523 January 2022
Storing a few results here for future use
126How Many Recursive Calls Does a Recursive Function Make?
17 January 2022
a wild fibonacci appears
127So, you think you're bad at math...
15 January 2022
A video from Prof. Courtney Gibbons I revisit a lot
12801 August 2021
Collection of important ideas from the Huberman Lab Podcast. Not Medical Advice!!
12921 July 2021
Understanding skill moves in football and making a case for the body feint.
13005 May 2021
Lecture Notes of the 2009 Series at Harvard taught by Micheal Sandel along with some personal opinions.
131Traffic event description using Unsupervised Learning Methods
10 December 2020
13th International (Online) Conference on Transportation Planning and Implementation Methodologies for Developing Countries
132August 2020 Release Notes [UFO]
31 August 2020
just some links
13331 July 2020
Karim Benzema and Taylor Swift's Folklore
13430 June 2020
Fermat's Last Theorem, Essay Writing and the return of La Liga and Serie A.
13506 June 2020
Official Work Product Submission for the 2020 edition of Google Summer of Code with TensorFlow.
13631 May 2020
A revision of first principles and more mathematics
13728 May 2020
Notes from Virology Lectures by Vincent Racaniello
138Proof that $\exp(x)=\displaystyle\lim_{n\rightarrow\infty}\left(1+\frac{x}{n}\right)^{n}$
14 May 2020
A math-heavy but super elegant proof that I learnt
13930 April 2020
Mathematics mostly, with some code sprinkle-tossed in. Solving puzzles never felt more exhilarating.
14014 April 2020
Analysis and Solutions for the 2020 edition of Google's annual Code Jam competition.
14131 March 2020
There was always going to be only one story...
14229 February 2020
Audiobooks, running, and the coronavirus.
14331 January 2020
Hardcore History, Kobe Bryant and new adventures.
14419 November 2019
Notes for a lecture I gave as an undergrad
145