So much working, reading, thinking, living to do! A lifetime is not long enough.
Sylvia Plath
Hinweise zur deutschen Sprache [WIP]
22 February 2026
Eine Anmerkung jedes Mal, wenn mich die deutsche Sprache verwirrte
129 January 2026
The biochemistry of fat, and better dietary options.
201 December 2025
padding rectangular images to squares using Pillow
322 November 2025
Permanent link for this website's privacy policy
4A Deep Q-Network learns to play Enduro
02 November 2025
Implementing the first Deepmind papers on deep reinforcement learning and realizing that the Sutton-Barto textbook is a masterpiece in technical pedagogy.
503 October 2025
Taylor Swift's twelfth studio album is out!
630 September 2025
Why does BatchNorm work?
728 August 2025
this complex network of nerves is how I use my hands
808 August 2025
a bishop in the center is worth a queen
9Feynman's integration technique
04 August 2025
How does differentiating under the integral sign work for simple integrals?
1006 June 2025
the knight vs. connected pawns monster endgame
1126 May 2025
Numbers with only one prime number each as factors
12Forward-mode and reverse-mode autodiff in python featuring dual numbers and graph traversals
13Sums 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.
14Using shuf to select random ports in a cluster
12 April 2025
A few tricks in bash to generate random numbers
15JavaScript to change video playback speed
08 April 2025
because sometimes, you want to go faster than 2x
16Max Verstappen breaks Suzuka Lap Record!
05 April 2025
and for nostalgia's sake, a couple of perfect qualifying laps from Seb Vettel
1704 April 2025
the horse jumps everywhere
1826 March 2025
Masaki Kashiwara for contributions to algebraic analysis and representation theory
1922 March 2025
Using this post to check if I have coded up everything I want in this blog.
2020 March 2025
he really dislikes the great man theory of history, but more than that, he dislikes Napoleon.
2105 March 2025
Andrew Barto and Richard Sutton for pioneering Reinforcement Learning
22Some known problems in text to image generation
06 January 2025
Learning about where diffusion models break and collecting attempts at solutions
2327 November 2024
A personal note to myself, about how I understand them.
24On the products of $n$ consecutive numbers
21 November 2024
Why is the product of $n$ consecutive numbers always a multiple of $n.$
2517 November 2024
strange happenings while burning plastic bags
2611 November 2024
Notas que he tomado mientras aprendía español.
27Troy, (2004) dir. Wolfgang Peterson
10 November 2024
some of the best lines from my all-time favourite movie
28Distilling Stockfish into a Transformer
29 October 2024
My thoughts on the "Grandmaster-Level Chess Without Search" paper from Google DeepMind
29New + Mersenne + Largest Prime Found
21 October 2024
After six long years, and for the first time using GPUs
30DreamCoder and Neural Program Induction
21 October 2024
Notes and some ideas while reading the DreamCoder paper
31India win everything at the Chess Olympiads!
23 September 2024
Hopefully the beginning of something meaningful in Indian sport that is not cricket
32An Elliptic Curve with Rank $\ge$ 29 has been found
31 August 2024
more math news from Mathstodon
33On 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.
34$x^n/n!$ 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?
3514 August 2024
After his Olympic Gold run
3611 August 2024
A much superior metric than the raw medal tally.
3720 July 2024
Building floating castles, literally and figuratively.
38Like 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.
39A 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.
40Toni Kroos retires from professional football
41Easily the best brand ambassador for the sport
42International Women in Mathematics Day
12 May 2024
Remembering 2014 Fields Medallist Maryam Mirzakhani
43The Games of Robert James Fischer
30 April 2024
A LiChess study while I go through a couple books with his most famous games.
4429 April 2024
Some fun questions I've been trying to solve on and off this month
4524 April 2024
An appendix to my previous blog post on Isostasy
4622 April 2024
What is the tallest structure that can remain standing on an almost spherical mass?
4719 April 2024
Taylor Swift's eleventh studio album is out!
4811 April 2024
Avi Wigderson for foundational contributions to the theory of computation.
4910 April 2024
and some more thermodynamics
5031 March 2024
A discontinuity paradox
5121 March 2024
Michel Talagrand for contributions to probability theory and functional analysis
5214 March 2024
celebrate by declining all meetings
53Richard Hamming on Claude Shannon
29 February 2024
An anecdote that stuck out to me from Hamming's You and Your Research
54Dimensional Analysis on Loss Functions
20 February 2024
A half-baked idea I had while checking my equations
55Silman's Complete Endgame Course
10 February 2024
A book review
5605 February 2024
My notes while trying to make sense of the Navier Stokes problem
5731 January 2024
and my attempts to relearn thermodynamics
5828 January 2024
Notes from Stephen Wolfram's blog
5924 January 2024
Some notes on rod-cutting, LCS, and 0-1 Knapsack...
6017 January 2024
One of the most important problems to work on at this point in history.
6107 January 2024
explicit constructions of sets with more unique pairwise sums than differences
6230 December 2023
How does the weight we lose exactly leave our body?
63Learning speech representations by combining CL and MLM
28 December 2023
Paper reading notes from w2v-BERT by Google Brain
6428 November 2023
GitHub issue tracking much needed changes
65F. Scott Fitzgerald about the first world war
27 November 2023
from Tender is the Night
66Segmentation model outputs as prompts to SAM
11 November 2023
Some ideas on improving semantic segmentation with SAM
6703 November 2023
a very elegant proof that I learnt after many hours of toil
6827 October 2023
The re-recording of Taylor Swift's fifth studio album is out!
69How do you know what you care about?
13 October 2023
Correspondence with a friend
7003 October 2023
At the time of the grand reveal
7103 October 2023
UPenn apparently fired a future Nobel Prize winner and are attempting to recoup their losses
72Max-bounds on information travel speeds
26 September 2023
A dumb attempt by me to go faster than the speed of light
7322 September 2023
Analysis of Entry A004207 in the OEIS
7419 September 2023
A rant
75A Variation of the Four Fours Problem
05 September 2023
Streaming while doing math
7605 September 2023
A rant
77Seam Carving — Energy Function
01 September 2023
Live Coding Seam Carving Part 2
7818 August 2023
A review of the Richard Rhodes book
7917 August 2023
Some cool facts about Beethoven's masterpiece from John Carlos Baez on Mathstodon
80Intermediate Activations in Llama 2.7B
13 August 2023
there is a country layer in the llama 2 transformer
8110 August 2023
Partly a book review, partly a rant
82the inexorable march of time...
08 August 2023
where does this phrase come from?
8306 August 2023
from Complications by Atul Gawande
8405 August 2023
Imagine winning two Nobels for Physics
8503 August 2023
A very nice method to have in your problem-solving toolkit
86Muse, tell me of the man of many wiles
26 July 2023
The opening lines from Allen Mandelbaum's translation of The Odyssey
87Conway's Game of Life is omniperiodic!
22 July 2023
A very good thread (with an unexpected Alexander crossover) from Mathstodon
8821 July 2023
an elegant problem with an even more elegant solution
8917 July 2023
Three implementations of self attention, one for visualizing the self attention between two tensors, one for language, and one in PyTorch
90Einstein Summation Notation Exercises
13 July 2023
Exercises in faster and more intuitive tensor notation for deep learning.
91John Conway's Doomsday Algorithm
12 July 2023
This is a very good party trick to learn
9207 July 2023
The re-recording of Taylor Swift's third studio album is out!
93Faster Factorial Approximations
02 July 2023
Comparing factorial computation times vs. approximation as exponentiation, gamma functions, and Stirling's approximation.
94Rafael Nadal's dominance at Roland Garros
04 June 2023
some perspective by Nicholas Mahut
9526 May 2023
What does this even mean?
96Convergence 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.
9708 May 2023
realistically, what is stopping him before 2026?
98Get 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
99Field Trip to Citi Neuro Hospital
29 March 2023
a travel journal of sorts
10021 March 2023
How I work with $\LaTeX$ locally instead of using OverLeaf
10128 January 2023
some thoughts and questions
10207 January 2023
some cool stuff I learnt from a podcast
103Visualizing and Working with Audio Files
27 December 2022
Helper code that has different ways to visualize audio files, mostly for future reference.
104Lionel Messi is a World Champion!
19 December 2022
every head must bow, every tongue must confess
105Root Finding with Newton's Method
18 December 2022
Testing whether Newton's method decays updates exponentially
106Exercises in Number Theory [UFO]
05 December 2022
Proofs and solutions from "Elementary Introduction to Number Theory" by Calvin Long
10707 November 2022
One of these is not like the other
108Seam Carving — Intuition and Ideas
30 October 2022
Live Coding Seam Carving Part 1
10921 October 2022
Taylor Swift's tenth studio album is out!
11019 October 2022
some solutions I wrote up
11101 October 2022
The neuroscience of speaking multiple languages, and switching between them.
112Act III Scene II, Julius Caesar
18 September 2022
The greatest speech ever written in my opinion, I'm learning to perform this
113Sebastian Vettel's Greatest Hits
11 September 2022
indulging in some nostalgia
11427 August 2022
by Charles Bukowski
11517 August 2022
A collection of chess endgames that I found interesting/tricky.
116Sebastian Vettel F1 retirement
28 July 2022
I guess it was inevitable
117Cristiano Ronaldo in The Player's Tribune
21 July 2022
a collection of my favourite lines from the article
11807 July 2022
Is it right?
1194th BongCloud Classical Chess Tournament
06 July 2022
My first OTB chess tournament!!
12005 July 2022
number theory, sphere packing, and chromatic polynomials
12120 June 2022
The inbuilt ceil function was being very unwieldy. I prefer defining my own inline function now.
12210 June 2022
something about crossing water bodies
123Rafael Nadal wins the 2022 French Open!
05 June 2022
Twenty Two Grand Slams and counting...
124Real Madrid win La Decimocuarta!
29 May 2022
somos los reyes de europa
12507 May 2022
why aren't we working lesser hours even with technological advancement?
12615 March 2022
Lecture Notes of the 2007 Series at Yale taught by Shelly Kagan along with some personal opinions.
127Nietzsche's "Morality is Cowardice"
06 March 2022
harmless =/= moral
12801 March 2022
the burden of proof of a crime falls upon the state, or something along those lines
129Rafael Nadal wins the 2022 Australian Open
30 January 2022
Twenty One Grand Slams!
13029 January 2022
Probably the most talented driver in the 21st century
13124 January 2022
easily the greatest poem ever written, with emphasis on my favourite lines, which is like 80% of the poem.
13223 January 2022
My attempt to understand this strangest of phenomena. Something I think can revolutionize modern medicine.
13323 January 2022
Storing a few results here for future use
134How Many Recursive Calls Does a Recursive Function Make?
17 January 2022
a wild fibonacci appears
135So, you think you're bad at math...
15 January 2022
A video from Prof. Courtney Gibbons I revisit a lot
13601 August 2021
Collection of important ideas from the Huberman Lab Podcast. Not Medical Advice!!
13721 July 2021
Understanding skill moves in football and making a case for the body feint.
13805 May 2021
Lecture Notes of the 2009 Series at Harvard taught by Micheal Sandel along with some personal opinions.
139Traffic event description using Unsupervised Learning Methods
10 December 2020
13th International (Online) Conference on Transportation Planning and Implementation Methodologies for Developing Countries
140August 2020 Release Notes [UFO]
31 August 2020
just some links
14131 July 2020
Karim Benzema and Taylor Swift's Folklore
14230 June 2020
Fermat's Last Theorem, Essay Writing and the return of La Liga and Serie A.
14306 June 2020
Official Work Product Submission for the 2020 edition of Google Summer of Code with TensorFlow.
14431 May 2020
A revision of first principles and more mathematics
14528 May 2020
Notes from Virology Lectures by Vincent Racaniello
146Proof 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
14730 April 2020
Mathematics mostly, with some code sprinkle-tossed in. Solving puzzles never felt more exhilarating.
14814 April 2020
Analysis and Solutions for the 2020 edition of Google's annual Code Jam competition.
14931 March 2020
There was always going to be only one story...
15029 February 2020
Audiobooks, running, and the coronavirus.
15131 January 2020
Hardcore History, Kobe Bryant and new adventures.
15219 November 2019
Notes for a lecture I gave as an undergrad
153