A discrete Markov chain is basically a random walk... on a graph, where each outgoing edge has a fixed probability. Cool fact: any initial distribution on a sufficiently nice* Markov chain converges to its stationary distribution after many steps—because it's a contraction mapping.show more

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

Physics of the "chain fountain" phenomenon, where a chain... inside a container, when pulled, rises above the container's edgeshow 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

📢📢📢 Today I'll be giving a talk at the... #CVPR2024 workshop on "Learning 3D with Multi-View Supervision" See you at 16:20 in Summit 331 Get a preview of the upcoming "3D Gaussian Splatting as Markov Chain Monte Carlo"show more

After an extensive security review, Galaxy Digital-backed @TenbinLabs is... deprecating its legacy cross-chain solution and migrating to Chainlink CCIP as its exclusive cross-chain infra. Via CCIP, @TenbinLabs is expanding distribution of its tokenized FX stables & commodities.show more

💿 Sonova Presents: PlayCat’s Debut into Soneium Chain Great... days ahead Sonieum 💿 Community! PlayCat has officially landed on the Soneium chain and is making its debut as an Official Builder in Soneium chain! 🐱 This is not a drill — it's a purr-fect storm of innovation, fun, and serious blockchain IP mastery. PlayCAT 🐱 is bringing the heat, helping build a future in Soneium one paw-some leap at a time! Get ready to watch this kitty take over the blockchain universe — because where PlayCat lands, the culture thrives! 💿show more

⚡ @SupraOracles is excited to announce the integration of... our decentralized Verifiable Random Function (dVRF) service on BNB Chain (BNB Chain) 🎉 This allows devs on BNB Chain to access a provably fair source of randomness for GameFi, #NFT minting, and on-chain lotteries 🎮show more

Hamiltonian Monte Carlo frames sampling from a probability distribution... as a physics problem. By endowing "particles" with momentum and simulating their energy and motion through Hamilton's equations you can efficiently explore a distribution.show more

“Don’t punish me…” That’s what his eyes said —... after a lifetime on a chain.show more

Most agents track price. Ours track how information propagates... through markets. That difference is where the edge comes from. The visualization below is a Shannon entropy field: a model of how uncertainty collapses and spreads as new information enters a market. Each trade, liquidity shift, or derivatives flow updates a probability distribution. When information arrives, entropy collapses locally as the market incorporates it. But that update rarely happens everywhere at once. Different venues, liquidity pools, and derivative layers incorporate signals at different speeds, creating measurable information gradients across the system. One of the analytical tools in our agents’ stack models this directly: > Entropy quantifies uncertainty embedded in each probability market > KL divergence reveals conflicting distributions across venues > Information gradients show where signals have propagated—and where they haven’t yet Prediction markets and DeFi make this particularly powerful because price already represents probability. Mapping how those probability distributions update across venues turns the market into a measurable system: a live field of information flow showing where uncertainty remains—and where probability is likely to adjust nextshow more

Instead of pointing lookAt to a position, I tried... driving it along a line. The control over distribution is kind of nice.show more

Minted "Not a Painting" by Medusa. Cool generative art... on Bitcoin created completely by code on-chain.🔥show more

The testnet isn't a preview. It's where the chain... learns what mainnet has to handle. Every feedback makes DAC go Interstellar.show more

Institutions want to build on Ethereum and leverage its... incorruptibility, hard finality, and global liquidity. But many financial use-cases can’t be run on a chain where everything is public by default. Here’s how Prividium extends Ethereum for enterprises:show more

Monad is a general purpose blockchain. It’s a stablecoin... chain, AI chain, perps chain, CLOBs chain, socialFi chain, betting chain, gaming chain, NFT chain and more. Monad is the blockchain for everything you can imagineshow more

No mercy on a chain⛓️

Math quant bot on Polymarket made over $457K PnL... in 20 days - he turned $7,387 → $457k profit it uses Markov Chains to find "mispriced" windows on BTC and ETH up/down markets - made 14,200+ predictions, with ~$22,850 avg. daily profit by exploiting gaps humans miss at 3AM strategy: a 1h BTC/ETH up/down market is a binary contract it pays $1 if event happens → $0 if not Markov Chains give you the probability of the next market state based on: > current state of the market (up / down / flat) > transition matrix built from live price data > diagonal persistence value - how stable the current state is formula: p̂ − market_price ≥ 0.05 AND P(j*, j*) ≥ 0.87 bot profile: - read article below to understand how Markov Chains are used to extract edge from prediction marketsshow more

Institutional capital held in custody can now now access... on-chain credit markets through structured allocation via Spark. Through BitGo, capital can be deployed into Spark Savings vaults, where it is allocated across multiple credit venues within a single, structured system. Most on-chain lending requires selecting a single market or pool. Spark takes a different approach: Capital is deployed across venues based on predefined liquidity, exposure, and allocation parameters, rather than remaining fixed within one market. Reducing exposure to high-utilisation conditions where liquidity becomes constrained. This is a new path for institutional capital into on-chain credit markets. Spark is now available via BitGo institutional wallets.show more