Steven Brunton

New 20hr bootcamp on Probability & Statistics!!! Videos released weekly but full playlist already posted: youtube.com/watch?v=sQqnia… Probability & Statistics are cornerstones of data science and machine learning. This course rapidly covers the basics and gets into advanced topics.

New video!! Super excited to share our new work on foundation models and agentic systems for discovery and prediction! Our most recent results show excellent performance in full aircraft!! youtu.be/R_lYqUD_uVI?si… Happy to hear your feedback, and thanks to the fantastic team!!

Carried out by an incredible dream team: Abhijeet Vishwasrao, @fa_giral, Mahmoud Golestanian, Federica Tonti, Andrea Arroyo Ramo, Adrian Lozano Duran, @eigensteve, @Serhocal , @modelflows and Hector Gomez

@alfcnz @NYU_Courant @NYUDataScience Awesome news for learners, human and machine!!! 🔥

🎓 First lecture is live on YouTube! ▶️ Introduction to Deep Learning Research 🔬 Lesson 01: Course intro + McCulloch & Pitts binary neuron 🧠 Using maths & coding as languages of research 📐💻 youtu.be/rg4QyMFONNQ

Non-math announcement!! My cousin's pizza restaurant RomaRoma is opening in Capital Hill tomorrow!!! 🍕🍷🍕🍻🍕🥳🍕 Free pizza aperitivo Thursday Feb 5 from 4-9pm (or until sold out). Follow on IG: instagram.com/romaroma.pizza/

1/ Today with my colleagues @PolymathicAI, I'm excited to release our latest project, Walrus, a cross-domain foundation model for physical dynamics, into the world. polymathic-ai.org/blog/walrus/ Paper: arxiv.org/abs/2511.15684 Git: github.com/PolymathicAI/w… HF: huggingface.co/polymathic-ai/…

So proud to see the culmination of effort led by @mikemccabe210 @PayelMukhopadh3 @__tm__157 @BrunoRegaldo @FrancoisRozet along with the amazing team at @PolymathicAI to produce The first "Polymathic"/cross-disciplinary AI model for fluid dynamics! We started with creating The Well, the first internet scale of fluids dataset co-led by @mikemccabe210 and @oharub with the goal of creating the first cross-disciplinary fluid model! Now it is here, and we are lovingly naming it the Polymathic Walrus 😁!

I’m excited to announce that @PolymathicAI new astrophysics model, AION-1, has been accepted to #neurips2025 ! 🎉 Come see our poster on Dec 5 (Friday) at 1-4pm PT, poster session 5 OR hear our talk from @liamhparker and Francois Lanusse at #AI4Science workshop It’s the first large-scale multimodal foundation model for astronomy!

@alfcnz @tetsuoai 🙏

@tetsuoai @eigensteve

The Fourier series, modeling periodic functions with cosines and sines, and computing Fourier coefficients as projections onto orthogonal bases in Python. source: Steve Brunton

@alfcnz @capetorch @NYU_Courant @NYUDataScience We should team up on a bootcamp!! 💪💪🧠🧠

@capetorch @NYU_Courant @NYUDataScience I wish I could teach calculus and linear algebra for engineers, physicists, and computer scientists. 🥲🥲🥲 Similarly to how @eigensteve teach all the prerequisites to his kids! 😇

The directional derivative of a scalar field ℒ:ℝᴺ → ℝ at w⁰ along direction û is given by: Dᵤℒ(w⁰) = ∇ℒ(w⁰)ᵀ û = ‖∇ℒ(w⁰)‖ cos ϕ, where ϕ is the angle between ∇ℒ(w⁰) and û. The direction of maximum decrease has û pointing towards −∇ℒ(w⁰).

Had an interesting discussion with a colleague about the merits of #Fortran and #Python for an undergrad class (ME not CS) on numerical linear algebra. Having just migrated my personal webpage, I figured I'll start a technical blog and write about it. 👉 tinyurl.com/3a4dfcnu

@gammaofzeta ¡Feliz cumpleaños! And happy ninth Fibonacci! 🎈🎉

Today is my 34th bday! (And Arvo’s 90th). I went to relativity class, I smashed the gym and then, my soulmate took me to a Japanese restaurant. Can’t be happier! And, yes I have more wrinkles but at least I can prove the invariance of the wave operator under Lorentz’, using some tensor stuff and index notation.

Extremely proud of our recent "Lost in Latent Space" paper by our amazing @PolymathicAI intern @FrancoisRozet ! How far do you think we can/should compress ? What is needed in the latent space to keep rolling out the physics right across so many scales?

I now have a full @YouTube playlist of video lectures with coding demonstrations that accompanies every chapter of my book! Check it out here: youtube.com/watch?v=A1AvIj…

New Video Series: Statistics & Data Analysis! youtube.com/watch?v=QIXUTs… 35 videos, 10 hours: Random sampling, Central limit theorem, Distribution estimation, Method of moments, Maximum likelihood estimation, Hypothesis testing, Monte Carlo sampling, Bayesian statistics, and more!

100k on my mathematics channel !! 🥹 what video should i do to celebrate?

What if a spacecraft could cycle between Earth and Moon orbits, performing multiple circuits of each, naturally and indefinitely, with zero propulsion? We’ve discovered a new class of stable, prograde, low-energy cycler orbits that do just that. Why these orbits matter: Ballistic → fuel-free Stable → long-term ready Near-chaotic → agile with low ΔV Low-energy → access to Earth/Moon, Lagrange points, Sun–Earth L1/L2, even heliocentric space At the AAS/AIAA Astrodynamics Specialist Conference in Boston next week, I’ll present on a new family of ballistic Earth-Moon cycler orbits that are stable, prograde, and mission agile—unlike any cyclers in the current literature. The example below is shown in both the Earth-Moon rotating frame and inertial frame. Conference Paper: ross.aoe.vt.edu/papers/ross-ro…

🧠💨 New from #VinuesaLab in @CommsEng (@NaturePortfolio): We use multi-agent #DRL to control 3D turbulent flows, achieving up to 21% drag reduction on cylinders! First-ever MARL training on 3D cylinders 🚥 🌀 Stabilized wakes 💡 Efficient control 🔗 nature.com/articles/s4417…

I've done it! I've finished the complete series of video lectures to complement my book. Here's the last one on model identification with autoencoders: youtube.com/watch?v=cFpyjE…

Honored to be featured in @BBCFuture’s article: “How aircraft designers are beating rising turbulence” ! ✈️ Proud to play a part in pushing aviation safety forward with XAI and DRL!! @BBC bbc.com/future/article… #FlightTech #Turbulence #ClimateAction #AviationInnovation