Published on: 2025-04-23 05:30:47
Differentiable Programming from Scratch Differentiable programming has become a hot research topic, and not only due to the popularity of machine learning frameworks like TensorFlow, PyTorch, and JAX. Many fields apart from machine learning are finding differentiable programming to be a useful tool for solving optimization problems. In computer graphics, differentiable rendering, differentiable physics, and neural representations are all gaining popularity. This article received an honorable m
Keywords: frac mathbf node partial prime
Find related items on AmazonPublished on: 2025-04-19 13:23:48
(Title image sourced from: Wikipedia - Trigonometry) Why I wanted to calculate the network latency between all my VPS nodes, and add the latency into the configuration file of Bird BGP daemon, so the network packets are forwarded through the lowest latency route. However, I have 17 nodes as of today, and I didn't want to manually run a ping command between each pair. So I came up with a solution: I can mark the latitudes and longitudes of the physical locations of my nodes, calculate the phys
Keywords: arctan cos frac function sin
Find related items on AmazonPublished on: 2025-04-24 08:26:00
Through a couple of different avenues I wandered, yet again, down a rabbit hole leading to the topic of this post. The first avenue was through my main focus on a particular machine learning topic that utilized some concepts from physics, which naturally led me to stochastic calculus. The second avenue was through some projects at work in the quantitative finance space, which is one of the main applications of stochastic calculus. Naively, I thought I could write a brief post on it that would sa
Keywords: equation frac partial process stochastic
Find related items on AmazonPublished on: 2025-04-25 19:26:00
Through a couple of different avenues I wandered, yet again, down a rabbit hole leading to the topic of this post. The first avenue was through my main focus on a particular machine learning topic that utilized some concepts from physics, which naturally led me to stochastic calculus. The second avenue was through some projects at work in the quantitative finance space, which is one of the main applications of stochastic calculus. Naively, I thought I could write a brief post on it that would sa
Keywords: equation frac partial process stochastic
Find related items on AmazonPublished on: 2025-04-28 23:54:51
Monte Carlo Crash Course Sampling In the previous chapter, we assumed that we can uniformly randomly sample our domain. However, it’s not obvious how to actually do so—in fact, how can a deterministic computer even generate random numbers? Pseudo-Random Numbers Fortunately, Monte Carlo methods don’t need truly random numbers. Instead, we can use a pseudo-random number generator (PRNG). A PRNG produces a deterministic stream of numbers that look uniformly random: By “look uniformly random,”
Keywords: f_ frac mathbf mathcal omega
Find related items on AmazonPublished on: 2025-05-08 07:29:29
Analytic Combinatorics -- A Worked Example 08 Apr 2025 - Tags: sage Another day, another blog post that starts with “I was on mse the other day…”. This time, someone asked an interesting question amounting to “how many unordered rooted ternary trees with $n$ nodes are there, up to isomorphism?”. I’m a sucker for these kinds of combinatorial problems, and after finding a generating function solution I wanted to push myself to get an asymptotic approximation using Flajolet–Sedgewick style analyt
Keywords: frac ldots left omega right
Find related items on AmazonPublished on: 2025-05-22 22:15:15
Quick intro LeetArxiv is Leetcode for implementing Arxiv papers . We help programmers transition into careers in computational research. You can also join our Reddit community here. Frontmatter for the 1931 paper ‘On Factoring Large Numbers’ by D.H. Lehmer and R.E. Powers *We provide a hand-written implementation that can be translated to different programming languages. 1.0 Introduction In 1931, at Stanford University, D.H Lehmer and R.E. Powers published a general integer factorization
Keywords: continued expansion fraction lehmer page
Find related items on AmazonPublished on: 2025-06-18 01:09:21
Statistical Formulas For Programmers By Evan Miller May 19, 2013 Being able to apply statistics is like having a secret superpower. Where most people see averages, you see confidence intervals. When someone says “7 is greater than 5”, you declare that they’re really the same. In a cacophony of noise, you hear a cry for help. Unfortunately, not enough programmers have this superpower. That’s a shame, because the application of statistics can almost always enhance the display and interpreta
Keywords: alpha confidence distribution frac test
Find related items on AmazonPublished on: 2025-06-30 01:10:55
Rotors: A practical introduction for 3D graphics 17 Apr 2023 When putting 3D graphics on a screen, we need a way to express rotations of the geometry we’re rendering. To avoid the problems that come with storing rotations as axes & angles, we could use quaternions. However quaternions require that we think in 4 distinct spatial dimensions, something humans are notoriously bad at. Thankfully there is an alternative that some argue is far more elegant and simpler to understand: Rotors. Rotors co
Find related items on AmazonPublished on: 2025-07-05 13:29:02
FlakeUI (v0.7-update) tags: user-interface, graph-visualization, zooming-elements-based, parent-children-orbiting, fractal-structure-inspired promotional material Would you like to bring a touch of adventurous spirit to your contents? Presenting your contents, FlakeUI does things a bit differently. As an original graph content navigating environment, it provides unusual experience in discovering information among your content selection. Possible applications are surely endless, and they are wa
Keywords: content contents dragging flakeui fractal
Find related items on AmazonPublished on: 2025-07-07 10:29:02
FlakeUI (v0.7-update) tags: user-interface, graph-visualization, zooming-elements-based, parent-children-orbiting, fractal-structure-inspired promotional material Would you like to bring a touch of adventurous spirit to your contents? Presenting your contents, FlakeUI does things a bit differently. As an original graph content navigating environment, it provides unusual experience in discovering information among your content selection. Possible applications are surely endless, and they are wa
Keywords: content contents dragging flakeui fractal
Find related items on AmazonPublished on: 2025-07-14 10:40:03
A beginner-friendly introduction to stochastic calculus, focusing on intuition and calculus-based derivations instead of heavy probability theory formalism. Introduction to Stochastic Calculus Introduction to Stochastic Calculus Notation and code for generating visuals are presented in the Appendix. 0. Introduction This document is a brief introduction to stochastic calculus. Like, an actual introduction. Not the textbook “introductions” which immediately blast you with graduate-level proba
Find related items on AmazonPublished on: 2025-07-13 04:25:51
February 22, 2025 at 14:53 Tags Math There's a cute math puzzle that can be interesting to folks on very different levels: Given exactly four instances of the digit 2 and some target natural number, use any mathematical operations to generate the target number with these 2s, using no other digits. Some examples can be done by elementary school kids: \[\begin{align*} 1&=\frac{2+2}{2+2}\\ 2&=\frac{2}{2}+\frac{2}{2}\\ 3&=2\cdot2-\frac{2}{2}\\ 4&=2+2+2-2\\ 5&=2\cdot 2 +\frac{2}{2}\\ 6&=2\cdot 2\
Keywords: align frac left log_ sqrt
Find related items on AmazonPublished on: 2025-07-12 07:51:22
Twitch has rolled out a number of changes to its violation enforcement system. The biggest change is that now infractions will disappear from an account “after a set amount of time.” This is great news for long-time creators, as minor violations stacked. This led to folks getting suspended as these smaller infractions piled up. The platform says that most minor infractions, like cheating in an online game, will expire after 90 days. More serious violations, like participating in hateful conduct
Keywords: infractions suspension time twitch violations
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