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⚡Physics-Informed Neural Networks (PINN)⚡ PINNs are neural networks that are trained to solve supervised learning tasks while respecting any given laws of physics described by general nonlinear partial differential equations. 👉 Full Tutorial:

292,430 Aufrufe • vor 2 Jahren •via X (Twitter)

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Your brain physically rewires itself every time you think a thought. Donald Hebb stumbled onto this principle in 1949 while studying memory formation in lab rats. He noticed something that should have been impossible: neurons that activated simultaneously began forming stronger connections over time, creating dedicated pathways where none existed before. Scientists called it Hebb's Law. The rest of us call it "neurons that fire together wire together." What Hebb discovered wasn't just a mechanism for learning. He had found the biological foundation of human transformation. Every habit, every skill, every automatic response in your body exists as a neural pathway carved by repetition. The route from your bedroom to your kitchen becomes a superhighway in your brain because you walk it every morning. The sequence of movements you use to tie your shoes becomes hardwired because you've done it thousands of times. But, this same process builds your personality. That tendency to check your phone when you feel anxious? Neural pathway. The automatic urge to argue when someone challenges your opinion? Neural pathway. The way you deflect compliments or seek validation or avoid difficult conversations? All neural pathways, strengthened every time you repeat the pattern. Your brain cannot distinguish between physical actions and mental habits. Both carve grooves in your neural architecture. Both become automatic responses when triggered. Both feel like "who you are" because they happen without conscious choice. But, most people spend decades accidentally building neural superhighways to behaviors they claim they want to change. You say you want to be confident, then practice self doubt every day. You say you want to be productive, then strengthen procrastination pathways by checking social media when work feels hard. You say you want authentic relationships, then wire yourself for people pleasing by avoiding conflict whenever it arises. The brain observes your actions and assumes this must be what you want. So it builds infrastructure to make these patterns easier to execute in the future. Neuroplasticity research reveals something most people find deeply unsettling: there is no "fixed self." The personality you think defines you is just a collection of neural pathways that have been reinforced more often than others. The pathways you travel most frequently become the widest roads. The thoughts you think most often become the loudest voices. The behaviors you repeat most consistently become your automatic responses. But the same mechanism that locks you into patterns can unlock you from them. Every time you catch yourself mid pattern and choose differently, you send a signal to your brain that the old pathway might not be serving you anymore. Every time you practice a new response instead of defaulting to the familiar one, you begin building new neural infrastructure. The process feels awkward at first because you're literally walking through mental wilderness, creating trails where no trails existed. But repetition turns trails into paths, paths into roads, roads into superhighways. This is why changing habits through willpower alone fails. You're trying to muscle through established neural superhighways instead of building alternative routes. The old pathways don't disappear just because you want them to. They have to be replaced through deliberate rewiring. The most sophisticated meditation practitioners in the world understand this intuitively. They don't just sit quietly hoping for peace. They systematically rewire their brains by repeatedly choosing calm responses instead of reactive ones. Ten thousand hours of practice creates neural pathways so robust that serenity becomes their default state. Professional athletes do the same thing with performance. They don't just practice their sport. They practice the mental patterns that support excellence until confidence, focus, and resilience become neurologically hardwired. The implications of neuroplasticity extend far beyond personal development. Every social bias, every cultural assumption, every automatic judgment you make exists as neural wiring built through repetition. The way you unconsciously categorize people, the assumptions you make about different groups, the stereotypes that feel "obviously true" are all learned pathways that can be unlearned. Societies change when enough individuals rewire their neural patterns around new ways of thinking and behaving. The brain you have right now is not the brain you're stuck with. It's the brain you've trained through repetition. Every thought you choose, every action you take, every response you practice is a vote for the kind of neural architecture you want to build. Most people cast these votes unconsciously, then wonder why their life feels automatic and unchangeable. The moment you realize you're the architect of your own neural patterns is the moment real transformation becomes possible. Your neurons are firing right now as you read this. What are you choosing to wire them toward?

Darshak Rana ⚡️

52,882 Aufrufe • vor 4 Monaten

If you think OpenAI Sora is a creative toy like DALLE, ... think again. Sora is a data-driven physics engine. It is a simulation of many worlds, real or fantastical. The simulator learns intricate rendering, "intuitive" physics, long-horizon reasoning, and semantic grounding, all by some denoising and gradient maths. I won't be surprised if Sora is trained on lots of synthetic data using Unreal Engine 5. It has to be! Let's breakdown the following video. Prompt: "Photorealistic closeup video of two pirate ships battling each other as they sail inside a cup of coffee." - The simulator instantiates two exquisite 3D assets: pirate ships with different decorations. Sora has to solve text-to-3D implicitly in its latent space. - The 3D objects are consistently animated as they sail and avoid each other's paths. - Fluid dynamics of the coffee, even the foams that form around the ships. Fluid simulation is an entire sub-field of computer graphics, which traditionally requires very complex algorithms and equations. - Photorealism, almost like rendering with raytracing. - The simulator takes into account the small size of the cup compared to oceans, and applies tilt-shift photography to give a "minuscule" vibe. - The semantics of the scene does not exist in the real world, but the engine still implements the correct physical rules that we expect. Next up: add more modalities and conditioning, then we have a full data-driven UE that will replace all the hand-engineered graphics pipelines.

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6,183,365 Aufrufe • vor 2 Jahren

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Liza Rosen

18,890 Aufrufe • vor 1 Monat

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A viral paper "Language Model Represents Space and Time" recently claims that LLMs learn "world models". As much as I like Max Tegmark's works, I disagree with their definition of world model. World model is a core concept in AI agent and decision making. It is our mental simulation of how the world works given interventions (or lack thereof). A world model captures causality and intuitive physics, telling the agent what is likely and what is impossible. It can and should be used for counterfactual reasoning, i.e. "what ifs": what would happen if I knock over a cup of water? Where would I have been if I had not taken that bus? Yann LeCun Yann LeCun says it well in his position paper ( I quote: "Using such world models, animals can learn new skills with very few trials. They can predict the consequences of their actions, they can reason, plan, explore, and imagine new solutions to problems. Importantly, they can also avoid making dangerous mistakes when facing an unknown situation." The first use of the term World Model in deep policy learning is attributed to hardmaru & Jürgen Schmidhuber: In their seminal paper, an agent masters shooting skills in the popular game Doom (demo below) by learning in imagination, using an internal world model as a "physics simulator". To put in a simple Python math formula, world model learns a function F(s[0:t-1], a) -> s[t:], which takes as input the observed past and current action, and outputs plausible future states. Now the definition of World Model in Tegmark's paper seems to be about predicting GPS coordinates and time eras. I see this as just a classification task with no causal learning and simulation going on. You cannot make meaningful interventions against that model, nor can you optimize any decision making in a closed feedback loop. As for the "space & time neurons", I think they are most similar to the "sentiment neuron" that OpenAI published in 2017: Predicting GPS is conceptually no different from predicting sentiment in my opinion. I don't think their experimental results are wrong - just that their conclusion is on shaky grounds. I welcome any debate! Paper link:

Jim Fan

594,014 Aufrufe • vor 2 Jahren

This week is already so hot. 🔥 Massive release from Decart : Lucy 2.0 a World Editing Model running at 1080p, 30FPS in realtime. This is truly exciting, the era of real-time generative reality is here. We are moving from watching AI video to living inside AI video. A breakthrough model capable of transforming the visual world in real-time. Moving beyond offline rendering, Lucy 2.0 delivers high-fidelity 1080p video generation with near-zero latency. Lucy 2.0 literally "redraws" the entire world pixel-by-pixel, while you are watching it. e.g. If you want to be an anime character, it doesn't just put a mask on you. It turns your skin into anime skin, your hair into anime hair, and the lighting in your room into anime lighting. Lucy 2.0 is also trained to stop the generated video from slowly falling apart over time, so the same stream can run much longer without faces and details drifting. So why is this a "Massive Deal"? Traditional AI video-generation model takes a prompt, you wait 10–20 minutes, and the computer "bakes" a video for you. You couldn't touch it or change it while it was happening. But Lucy 2.0 works like a mirror. It happens in real-time (30 frames per second). There is no waiting. You move your hand, the AI character moves its hand instantly. The craziest part isn't the visuals; it's the physics. Usually, AI hallucinations are glitchy—hands merge into faces, walls melt. Lucy 2.0 understands how the world works without being told. It knows that if you take off a helmet, there is hair underneath. It knows that if you splash water, droplets fly. It learned "physics" just by watching millions of videos. The physical behavior you see emerges from learned visual dynamics, not from engineered geometry or explicit physics engines. Their official technical report explicitly states that the model does not use traditional 3D engines, depth maps, or wireframes. It is a "pure diffusion model."

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12,761 Aufrufe • vor 7 Monaten