So much working, reading, thinking, living to do! A lifetime is not long enough.
Sylvia Plath
22 November 2025
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1Hinweise zur deutschen Sprache [WIP]
09 November 2025
Eine Anmerkung jedes Mal, wenn mich die deutsche Sprache verwirrte
2A 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.
303 October 2025
Taylor Swift's twelfth studio album is out!
430 September 2025
Why does BatchNorm work?
528 August 2025
this complex network of nerves is how I use my hands
608 August 2025
a bishop in the center is worth a queen
7Feynman's integration technique
04 August 2025
How does differentiating under the integral sign work for simple integrals?
806 June 2025
the knight vs. connected pawns monster endgame
926 May 2025
Numbers with only one prime number each as factors
10Forward-mode and reverse-mode autodiff in python featuring dual numbers and graph traversals
11Sums 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.
12Using shuf to select random ports in a cluster
12 April 2025
A few tricks in bash to generate random numbers
13JavaScript to change video playback speed
08 April 2025
because sometimes, you want to go faster than 2x
14Max Verstappen breaks Suzuka Lap Record!
05 April 2025
and for nostalgia's sake, a couple of perfect qualifying laps from Seb Vettel
1504 April 2025
the horse jumps everywhere
1626 March 2025
Masaki Kashiwara for contributions to algebraic analysis and representation theory
1722 March 2025
Using this post to check if I have coded up everything I want in this blog.
1820 March 2025
he really dislikes the great man theory of history, but more than that, he dislikes Napoleon.
1905 March 2025
Andrew Barto and Richard Sutton for pioneering Reinforcement Learning
20Some known problems in text to image generation
06 January 2025
Learning about where diffusion models break and collecting attempts at solutions
2127 November 2024
A personal note to myself, about how I understand them.
22On the products of $n$ consecutive numbers
21 November 2024
Why is the product of $n$ consecutive numbers always a multiple of $n.$
2317 November 2024
strange happenings while burning plastic bags
2411 November 2024
Notas que he tomado mientras aprendía español.
25Troy, (2004) dir. Wolfgang Peterson
10 November 2024
some of the best lines from my all-time favourite movie
26Distilling Stockfish into a Transformer
29 October 2024
My thoughts on the "Grandmaster-Level Chess Without Search" paper from Google DeepMind
27New + Mersenne + Largest Prime Found
21 October 2024
After six long years, and for the first time using GPUs
28DreamCoder and Neural Program Induction
21 October 2024
Notes and some ideas while reading the DreamCoder paper
29India win everything at the Chess Olympiads!
23 September 2024
Hopefully the beginning of something meaningful in Indian sport that is not cricket
30An Elliptic Curve with Rank $\ge$ 29 has been found
31 August 2024
more math news from Mathstodon
31On 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.
32$x^n/n!$ 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?
3314 August 2024
After his Olympic Gold run
3411 August 2024
A much superior metric than the raw medal tally.
3520 July 2024
Building floating castles, literally and figuratively.
36Like 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.
37A 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.
38Toni Kroos retires from professional football
39Easily the best brand ambassador for the sport
40International Women in Mathematics Day
12 May 2024
Remembering 2014 Fields Medallist Maryam Mirzakhani
41The Games of Robert James Fischer
30 April 2024
A LiChess study while I go through a couple books with his most famous games.
4229 April 2024
Some fun questions I've been trying to solve on and off this month
4324 April 2024
An appendix to my previous blog post on Isostasy
4422 April 2024
What is the tallest structure that can remain standing on an almost spherical mass?
4519 April 2024
Taylor Swift's eleventh studio album is out!
4611 April 2024
Avi Wigderson for foundational contributions to the theory of computation.
4710 April 2024
and some more thermodynamics
4831 March 2024
A discontinuity paradox
4921 March 2024
Michel Talagrand for contributions to probability theory and functional analysis
5014 March 2024
celebrate by declining all meetings
51Richard Hamming on Claude Shannon
29 February 2024
An anecdote that stuck out to me from Hamming's You and Your Research
52Dimensional Analysis on Loss Functions
20 February 2024
A half-baked idea I had while checking my equations
53Silman's Complete Endgame Course
10 February 2024
A book review
5405 February 2024
My notes while trying to make sense of the Navier Stokes problem
5531 January 2024
and my attempts to relearn thermodynamics
5628 January 2024
Notes from Stephen Wolfram's blog
5724 January 2024
Some notes on rod-cutting, LCS, and 0-1 Knapsack...
5817 January 2024
One of the most important problems to work on at this point in history.
5907 January 2024
explicit constructions of sets with more unique pairwise sums than differences
6030 December 2023
How does the weight we lose exactly leave our body?
61Learning speech representations by combining CL and MLM
28 December 2023
Paper reading notes from w2v-BERT by Google Brain
6228 November 2023
GitHub issue tracking much needed changes
63F. Scott Fitzgerald about the first world war
27 November 2023
from Tender is the Night
64Segmentation model outputs as prompts to SAM
11 November 2023
Some ideas on improving semantic segmentation with SAM
6503 November 2023
a very elegant proof that I learnt after many hours of toil
6627 October 2023
The re-recording of Taylor Swift's fifth studio album is out!
67How do you know what you care about?
13 October 2023
Correspondence with a friend
6803 October 2023
At the time of the grand reveal
6903 October 2023
UPenn apparently fired a future Nobel Prize winner and are attempting to recoup their losses
70Max-bounds on information travel speeds
26 September 2023
A dumb attempt by me to go faster than the speed of light
7122 September 2023
Analysis of Entry A004207 in the OEIS
7219 September 2023
A rant
73A Variation of the Four Fours Problem
05 September 2023
Streaming while doing math
7405 September 2023
A rant
75Seam Carving — Energy Function
01 September 2023
Live Coding Seam Carving Part 2
7618 August 2023
A review of the Richard Rhodes book
7717 August 2023
Some cool facts about Beethoven's masterpiece from John Carlos Baez on Mathstodon
78Intermediate Activations in Llama 2.7B
13 August 2023
there is a country layer in the llama 2 transformer
7910 August 2023
Partly a book review, partly a rant
80the inexorable march of time...
08 August 2023
where does this phrase come from?
8106 August 2023
from Complications by Atul Gawande
8205 August 2023
Imagine winning two Nobels for Physics
8303 August 2023
A very nice method to have in your problem-solving toolkit
84Muse, tell me of the man of many wiles
26 July 2023
The opening lines from Allen Mandelbaum's translation of The Odyssey
85Conway's Game of Life is omniperiodic!
22 July 2023
A very good thread (with an unexpected Alexander crossover) from Mathstodon
8621 July 2023
an elegant problem with an even more elegant solution
8717 July 2023
Three implementations of self attention, one for visualizing the self attention between two tensors, one for language, and one in PyTorch
88Einstein Summation Notation Exercises
13 July 2023
Exercises in faster and more intuitive tensor notation for deep learning.
89John Conway's Doomsday Algorithm
12 July 2023
This is a very good party trick to learn
9007 July 2023
The re-recording of Taylor Swift's third studio album is out!
91Faster Factorial Approximations
02 July 2023
Comparing factorial computation times vs. approximation as exponentiation, gamma functions, and Stirling's approximation.
92Rafael Nadal's dominance at Roland Garros
04 June 2023
some perspective by Nicholas Mahut
9326 May 2023
What does this even mean?
94Convergence 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.
9508 May 2023
realistically, what is stopping him before 2026?
96Get 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
97Field Trip to Citi Neuro Hospital
29 March 2023
a travel journal of sorts
9821 March 2023
How I work with $\LaTeX$ locally instead of using OverLeaf
9928 January 2023
some thoughts and questions
10007 January 2023
some cool stuff I learnt from a podcast
101Visualizing and Working with Audio Files
27 December 2022
Helper code that has different ways to visualize audio files, mostly for future reference.
102Lionel Messi is a World Champion!
19 December 2022
every head must bow, every tongue must confess
103Root Finding with Newton's Method
18 December 2022
Testing whether Newton's method decays updates exponentially
104Exercises in Number Theory [UFO]
05 December 2022
Proofs and solutions from "Elementary Introduction to Number Theory" by Calvin Long
10507 November 2022
One of these is not like the other
106Seam Carving — Intuition and Ideas
30 October 2022
Live Coding Seam Carving Part 1
10721 October 2022
Taylor Swift's tenth studio album is out!
10819 October 2022
some solutions I wrote up
10901 October 2022
The neuroscience of speaking multiple languages, and switching between them.
110Act III Scene II, Julius Caesar
18 September 2022
The greatest speech ever written in my opinion, I'm learning to perform this
111Sebastian Vettel's Greatest Hits
11 September 2022
indulging in some nostalgia
11227 August 2022
by Charles Bukowski
11317 August 2022
A collection of chess endgames that I found interesting/tricky.
114Sebastian Vettel F1 retirement
28 July 2022
I guess it was inevitable
115Cristiano Ronaldo in The Player's Tribune
21 July 2022
a collection of my favourite lines from the article
11607 July 2022
Is it right?
1174th BongCloud Classical Chess Tournament
06 July 2022
My first OTB chess tournament!!
11805 July 2022
number theory, sphere packing, and chromatic polynomials
11920 June 2022
The inbuilt ceil function was being very unwieldy. I prefer defining my own inline function now.
12010 June 2022
something about crossing water bodies
121Rafael Nadal wins the 2022 French Open!
05 June 2022
Twenty Two Grand Slams and counting...
122Real Madrid win La Decimocuarta!
29 May 2022
somos los reyes de europa
12307 May 2022
why aren't we working lesser hours even with technological advancement?
12415 March 2022
Lecture Notes of the 2007 Series at Yale taught by Shelly Kagan along with some personal opinions.
125Nietzsche's "Morality is Cowardice"
06 March 2022
harmless =/= moral
12601 March 2022
the burden of proof of a crime falls upon the state, or something along those lines
127Rafael Nadal wins the 2022 Australian Open
30 January 2022
Twenty One Grand Slams!
12829 January 2022
Probably the most talented driver in the 21st century
12924 January 2022
easily the greatest poem ever written, with emphasis on my favourite lines, which is like 80% of the poem.
13023 January 2022
My attempt to understand this strangest of phenomena. Something I think can revolutionize modern medicine.
13123 January 2022
Storing a few results here for future use
132How Many Recursive Calls Does a Recursive Function Make?
17 January 2022
a wild fibonacci appears
133So, you think you're bad at math...
15 January 2022
A video from Prof. Courtney Gibbons I revisit a lot
13401 August 2021
Collection of important ideas from the Huberman Lab Podcast. Not Medical Advice!!
13521 July 2021
Understanding skill moves in football and making a case for the body feint.
13605 May 2021
Lecture Notes of the 2009 Series at Harvard taught by Micheal Sandel along with some personal opinions.
137Traffic event description using Unsupervised Learning Methods
10 December 2020
13th International (Online) Conference on Transportation Planning and Implementation Methodologies for Developing Countries
138August 2020 Release Notes [UFO]
31 August 2020
just some links
13931 July 2020
Karim Benzema and Taylor Swift's Folklore
14030 June 2020
Fermat's Last Theorem, Essay Writing and the return of La Liga and Serie A.
14106 June 2020
Official Work Product Submission for the 2020 edition of Google Summer of Code with TensorFlow.
14231 May 2020
A revision of first principles and more mathematics
14328 May 2020
Notes from Virology Lectures by Vincent Racaniello
144Proof 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
14530 April 2020
Mathematics mostly, with some code sprinkle-tossed in. Solving puzzles never felt more exhilarating.
14614 April 2020
Analysis and Solutions for the 2020 edition of Google's annual Code Jam competition.
14731 March 2020
There was always going to be only one story...
14829 February 2020
Audiobooks, running, and the coronavirus.
14931 January 2020
Hardcore History, Kobe Bryant and new adventures.
15019 November 2019
Notes for a lecture I gave as an undergrad
151