One of the simplest algorithms for sampling from a... probability distribution is Random Walk Metropolis-Hastings. It proposes new samples by taking Gaussian-distributed steps, accepting or rejecting them to maintain the target distribution. I call this pdf the "fidget spinner".show more

Flow Matching aims to learn a "flow" that transforms... a simple source distribution (e.g. Gaussian) to an arbitrarily complex target distribution. This video shows the evolution of the marginal probability path as a source distribution is transformed to a target distribution.show more

A basic strategy for drawing from a random distribution... is to first generate uniformly-distributed points, then "warp" these points so they're spread out according to the target distribution. For example, the Box-Muller transform takes uniform points to normally-distributed onesshow more

One common trick in MCMC methods is called 'burn-in'.... It allows you to produce better samples by letting the chain first converge to the target distribution, discarding the first few samples which may be out of distribution.show more

Langevin Monte Carlo allows you to draw samples from... a probability distribution using its log gradient ∇ log p(x). By performing a sort of gradient ascent with noise you can navigate around the distribution. Langevin MC is heavily related to modern diffusion models.show more

This animation shows how a uniform grid of points... is deformed by a flow matching model. The visualization highlights how the learned flow warps the underlying space—stretching, compressing, and bending it—to transform one probability distribution into another.show more

this is my app "Kairo Alarm" i fought the... urge to keep polishing it, and shipped it in 7 days. if you're starting a new app: → build the fastest polished version possible → ship in 7–14 days max → go all-in on distribution distribution is what matters early onshow more

✨ New samwho visual essay o'clock! ✨ Reservoir sampling... is one of my favourite algorithms. It allows you to sample from a set without knowing the size of that set. I assume no prior knowledge, and use no math notation. Just beautiful visuals. Let me know what you think! ❤️show more

Israel is wiping out the bridges of South Lebanon... — one by one. Not for military necessity, but to isolate an entire population. To trap them. To starve them. To cut them off from hospitals, food, and aid. Call it what it is: A crime against humanity.show more

This is completely inappropriate for a police officer from... Merseyside police force to call a member of the public a nonce. Extremely unprofessional or is this just the new standard practice from our police service.show more

Great example of old vs. new values By the... eye test, this is a marvelous catch, the kind fans are glad they paid money to see By analytics, this had an 85% catch probability per The WARmonger & only looked hard because of a bad jump Is it good or bad?show more

We're taking big steps towards a more mobile-friendly design... The new mobile bar shows Your Events and Notifs in one easy to find place (also in the sidebar on desktop!) Go back to the homepage or search from anywhere on the site. And this is just the start of much more to come!show more

A U.S. private security contractor in one of the... Rafah aid distribution centers urges Gazans, in flawless Arabic, to go home and return tomorrow “for your own safety.” (Video is from Tuesday)show more

Our analysis of Israel’s so-called ‘humanitarian bubbles’ indicates that... this new system of aid distribution is simply an extension of the existing architecture of spatial control. The routes established for civilian access to these aid distribution centres (in blue) are continuous with Israeli military raid routes (in red), forming a militarised network designed to facilitate forced displacement and population control.show more

The death spiral Ants use a pheromone trail for... navigation, if they lose this trail of pheromones, they may start to follow one another, leading them to walk around in circles until either the circle is broken or they die from exhaustionshow more

🌟 Welcome to the Era of Gems 🌟 This... August, embark upon a mystical voyage as we unveil the hidden jewels of our realm. Receive your allotment of GEMS this month. You will soon be able to spend them in our marketplace and incorporate them into our games. Rest assured, this initial distribution is just the beginning. We will conduct a precise count once global distribution is complete, ensuring that every adventurer is treated fairly. Stay tuned for a month filled with discovery and wonder as we explore the mysteries and magic of our world. Ashes Of Idunn™ #EraOfGems #AshesOfIdunnshow more

Initia VIP is live on Leap 🕴️ Use Leap... to maximise your Initia wins in three simple steps 1️⃣ access & use Initia 🪢 rollups using the dApp browser 2️⃣ track your VIP points and rewards in the app why does this matter to you? 🤑 ~560k esINIT distributed to users across 11 apps in the previous stage 💸 25% INIT supply locked for Initia rollup users 💰 free & fair token distribution for everyone this is the new meta, don't miss it! join Initia VIP with Leap today 🏆show more

The volume of the muscles doesn't usually change much.... Only the distribution of the mass. When the biceps contract, they don't bulge near the elbow. Save this for later, or - even better - suggest a great anatomy tip that has helped you and I'l credit and @ you when I post an animation of it later.show more

Two question for the general public. One: Is there... a name for this look? Two: Is they/them still being considered to play Spiderman or will them be the new James Bond?show more

For those still confused about tax tokens and think... the distributor wallet is "farming," here’s a simple breakdown: 1. Every transaction is taxed — for example, our token has a 10% tax. 2. A distribution wallet collects these taxed tokens and sells them automatically every 5 minutes. 3. The funds from those sales are then either sent in SOL or swapped to a reward token and distributed: part goes to holders, part to the team. 4. All percentages for each token are clearly listed on our website for full transparency. That’s why you might see one wallet (the distributor) selling large amounts without buying — it’s part of the reward system. Hope that clears it up.show more