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Steven Brunton

@eigensteve57k followers

Teaches math to engineers: Professor @UW researching #MachineLearning for #Dynamics and #Control, especially for #FluidDynamics.

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1Oct 10, '22Just finished filming an entire 8 week series on Differential Equations and Dynamical Systems!! This is one of my favorite topics in all of math. And this finishes up all the video114×06.7k1.1k2.7k
2Jan 28, '23Excited to drop a new 2-week video series: Crash Course in Complex Analysis!!! This is a super useful topic that comes up everywhere in mathematical physics, differential equations81.5×682k5.4k7972.1k
3Oct 16, '24New 20hr bootcamp on Probability & Statistics!!! Videos released weekly but full playlist already posted: Probability & Statistics are cornerstones of data science and mach64×535k9.5k1.5k11k
4Jan 1, '23My favorite topic in dynamical systems: Chaos!!! This is what got me interested in applied math as an undergrad. The three body problem in planetary dynamics, the double pendulum, 52.2×437k3.3k504754
5Jul 10, '22New video! Partial Differential Equation (PDE) Overview Super excited to be deriving and solving PDEs in this series!!! Next up: heat equation in 1D, 2D, ND; separation of variable46.5×03.1k520850
6Mar 25, '22Vector calculus & PDEs! Powerful & beautiful intersection of math and physics. How to encode physical conservation laws as partial differential equations. And still relevan43.1×02.7k504859
7Oct 27, '23FREE PDF for 2ND EDITION OF OUR BOOK!!! We are committed to open science and open education: Free book: Free code () Free lectures ()39.7×333k2k5221.4k
8Aug 23, '21Big news today: Nathan Kutz and I have finished all of the video lectures for our book "Data Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control"! All 32.6×02k449579
9Nov 2, '23New on arXiv!!! 🚨🚨🔥🔥🤯🤯 A Unified Framework to Enforce, Discover, and Promote Symmetry in Machine Learning by Sam Otto, with N. Zolman, N. Kutz, & myself A tour de force i23.2×195k1.3k240721
10Sep 5, '22First new video after being back from Sabbatical!! PDE 101: Separation of Variables... or how I learned to stop worrying and solve Laplace's equation One of the most important conc21.9×01.5k169485
11Dec 8, '22Numerical Integration to Simulate Nonlinear Dynamics! The final phase of our series on Differential Equations Topics #Chaos Forward/backward Euler Stability & accuracy Runge-Ku19.8×01.3k209392
12Nov 30, '23Its nice to see the recent excitement around Q-learning! Here's a clip from a video all about Deep Reinforcement Learning, including Deep Q Learning #machinelearning #ai19.7×165k1.5k241873
13Sep 27, '21Finished the 2nd Edition of "Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" with Nathan Kutz today for Cambridge. Now w Python + MATLAB, ext17.6×01.2k233279
14Aug 24, '20I'm excited to announce the first video in a new series on sparsity and compression. This is one of my favorite topics in applied math and statistics. Check out the video on YouTub16.8×01.2k204231
15May 27, '222nd ed of "Data Driven Science and Engineering" out this summer!!!! New to 2nd ed: * Python+Matlab Code * New Chapters on Reinforcement Learning & Physics Informed Machine Lear15.5×01k185281
16Jan 5, '22Reinforcement Learning Series: Overview of Methods Video: This video introduces the variety of methods for model-based and model-free reinforcement learning. New video out each Fri15×0873149370
17Aug 12, '25New Video Series: Statistics & Data Analysis! 35 videos, 10 hours: Random sampling, Central limit theorem, Distribution estimation, Method of moments, Maximum likelihood estima13.9×116k2.4k3502.1k
18Feb 12, '21New video! Reinforcement Learning: Machine Learning Meets Control Theory Reinforcement learning is a powerful technique at the intersection of machine learning and control theory, 13.5×0916189177
19Jan 7, '22Model Based Reinforcement Learning: Policy Iteration, Value Iteration, and Dynamic Programming (Second video in the series!)13.5×0905126277
20Jul 14, '25New Book & Video Series!!! (late 2025) Optimization Bootcamp: Applications in Machine Learning, Control, and Inverse Problems Comment for a sneak peak to help proofread and I'l12.4×104k2k2031k
21Nov 5, '21New Video!! 🌊🌊🌊 Lagrangian Coherent Structures (LCS) in unsteady fluids with Finite Time Lyapunov Exponents (FTLE) YouTube link: This topic is near and dear to my heart. My firs12.2×0927157142
22Jan 29, '21New video! Robust Principal Component Analysis (RPCA) PCA is a backbone of statistics & machine learning but is fragile to outliers & missing data. RPCA addresses this issu11.5×0748143209
23May 9, '22I've been looking forward to Gauss's Divergence Theorem for a long time! Gauss's theorem is one of the most powerful tools in all of mathematical physics. It's how we derive conser11.3×0792155159
24Aug 20HydroGym: A Reinforcement Learning Platform for Fluid Dynamics Now published in Nature!! GitHub: Amazing collaboration with Christian Lagemann, S Mokbel, M Gondrum, M Rüttgers, Y W11×92k1.7k272965
25Oct 31, '22Engineering Math, Halloween Edition: No One Can Hear You Scream in Phase Space!!!10.8×0843132129
26Jan 21, '224th Video in Reinforcement Learning Sequence! Overview of Deep Reinforcement Learning Methods10.6×0722100211
27Oct 17, '22Major step in series on ODEs: Solving matrix systems of equations with eigenvalues and eigenvectors! Eigenvectors make the most sense to me as the transformation to diagonalize a m10.3×068081235
28Feb 5, '23Someone posed a really interesting question to me recently: "Can you tell the number of matches in a box by the sound it makes when you shake it?" Reminds me of "Can One Hear the S9.6×80k2331327
29Apr 1, '22Div Grad & Curl: Building blocks of vector calculus When I learned there was no motivation for why. Just math on a board. You are learning so you can translate physics, the lan9.5×0660102160
30Feb 23, '24New video series: Physics Informed Machine Learning! Physics may be embedded into AI/ML in 5 stages: 1 choose what to Model 2 curate training Data 3 design an Architecture 4 craft 9.4×79k1.2k194660
31Mar 13, '23I can’t tell you how excited I am that @bingbrunton is making Neuroscience videos! If you like my YouTube channel, you will love hers!! Subscribe to her channel for new videos!9.1×76k53961147
32Aug 13, '21By popular demand, a new video: Deep Learning of Coordinates and Dynamics (with beautiful visualization by Malin Christersson)9.0×059197176
33Feb 19, '21Deep Reinforcement Learning!!! Video link on youtube: #MachineLearning #ReinforcementLearning #DeepLearning8.6×058115199
34Nov 15, '20New video on Machine Learning for Fluid Mechanics! This is one of my favorite topics and the APS fluid dynamics meeting is coming up. So I will be posting new fluids videos + tweet8.4×0589110104
35Aug 5, '21New video: The Anatomy of a Dynamical System This was a fun one to make, and timing with new NSF AI Institute in Dynamic Systems is a pure coincidence! Full Video:8.2×0580110123
36Mar 16, '21Very excited about an upcoming series of videos on Turbulent Fluid Dynamics and Turbulence Modeling (with machine learning). Thought I'd share some upcoming YouTube thumbnails:7.8×064110455
37Jan 14, '223rd Video in Reinforcement Learning Sequence! Q-Learning: Model Free Reinforcement Learning and Temporal Difference Learning7.8×051278160
38Aug 28, '21New video on the Sparse Identification of Nonlinear Dynamics (SINDy), 5 years later Machine learning is enabling the discovery of dynamical systems models and governing equations p7.2×051093108
39Apr 8, '22The Gradient Operator! I filmed this at 7pm the day before I moved across the country to California for sabbatical... that's how much I love gradients & I love teaching you abo7.0×048664133
40May 17, '21This video shows how to use the singular value decomposition (SVD) to perform least-squares regression for non-square systems of equations. Video: Full SVD Playlist:6.7×049567106
41Sep 17, '22Brand new lecture on The Wave Equation... One of the most important equations in all of physics! Walked my guitar a few miles to campus (up hill, both ways) to save you from the in6.6×047278104
42May 8, '25Physics Informed Machine Learning with applications in Materials, by @UW expert, Prof. Navid Zobeiry Coolest new series on Youtube! Thanks Navid for sharing your deep knowledge wit6.6×55k695109533
43Jan 28, '225th Video in Reinforcement Learning Sequence! Optimal Nonlinear Control with Hamilton Jacobi Bellman (HJB) and Dynamic Programming6.5×047371107
44Oct 9, '20Very excited to share a new video diving into the mathematics of compressed sensing. I'm always surprised that it's possible to reconstruct full images from a random subsampling of5.9×04336489
45May 13, '22Control volumes with fission and fusion and lasers, oh my!5.1×04155746
46Apr 3, '21New video!! Part 1 of deriving the Reynolds Averaged Navier Stokes (RANS) equations for fluid turbulence... (I had a little extra coffee in this edited version)4.8×04065248
47Jul 25, '20Ever notice a striking similarity between the Laplace and Fourier transforms? In this video, I show how the Laplace transform is really just a weighted, one-sided Fourier transform4.8×02906883
48Jan 8, '21This is one of my favorite videos in the sparsity series: Sparse Regression with the LASSO We use LASSO all the time to discover interpretable models that prevent overfitting (like4.5×03185371
49Mar 28, '23Excited to partner with @cassyniapp to generate citable DOIs for my videos!!! Example: if you want to cite my video on Reinforcement Learning DOI Youtube Check out the complete col4.3×36k2183364
50Jan 5, '23Faculty position in Physics-Based Machine Learning/Artificial Intelligence (@ME_at_UW) This is a very broad search and is part of a larger cluster hire in @uwengineering. Lots of g4.3×36k1584127
51Mar 19, '21New video!!! What is Turbulence? We live in turbulent times... and turbulent fluids. Here, we discuss fundamental characteristics of turbulence with examples from nature and engine3.8×02656033
52Sep 30, '21New in 2nd Ed: Chapters: Reinforcement Learning & Physics Informed Machine Learning Sections: Autoencoders; RNNs; GANs; MPC; ML for ROMs; Laplace; SVD error bounds Code in Pyth3.7×02905239
53Apr 7, '23I challenged myself to build an extremum seeking controller (ESC) in @CollimatorAI in 2 minutes! What will you build?3.7×31k1272041
54Feb 28, '22Still surprised that this works! ...Discovering Governing Equations from Partial Measurements with Deep Delay Autoencoders... Check out the video: and paper: by Joseph Bakarji et a3.7×02453871
55Sep 4, '20Second video on sparsity and compression. We ask the question of why natural signals are so compressible. Audio signals, images, streaming videos. All these signals are massively m3.5×02654446
56Feb 11, '22Sparse Nonlinear Models for Fluid Dynamics w Machine Learning & Optimization This summarizes some of my favorite collaborative work with some amazing researchers, including @lo3.3×02214846
57Apr 1, '24Announcing Collimator 2.0!!! New features: * Powered by JAX * Generative AI * AutoDifferentiation * PID AutoTune * SINDy blocks * Model Predictive Control * Real-Time Collaboration3.2×27k28046123
58May 1, '20I've been thinking a lot about how managing COVID-19 is really a control problem. So I made a short video series about control theory and COVID-19. Spread it around (the video, not3.2×01718017
59Feb 25, '21Very excited to announce a new review paper on "Modern Koopman Theory for Dynamical Systems" which was a great collaboration with Marko Budišić (@dynamicalmarko), Eurika Kaiser, an3.2×02224740
60Aug 11, '21It has been about 5 years since the sparse identification of nonlinear dynamics (SINDy) paper was published, so I decided to make a short video on SINDy 5 years later. Turned into 3.2×02763231
61Apr 16, '21This video is like eating your kale or going to the gym 🥬🥬🥬🏋️🏋️🏋️... it is going to make you stronger! One of the most complicated math derivations yet, and this is only the 3.0×02533131
62Jun 25, '21We were so fortunate to have @MilesCranmer at UW for a collaborative visit this past week! He also filmed up his awesome work on "Interpretable Deep Learning for New Physics Discov3.0×01874744
63Oct 28, '22Excited about this upcoming seminar "Machine Learning for Scientific Discovery, with Examples in Fluid Mechanics" at Fluid Mechanics Webinar Series on 04 Nov3.0×01954645
64Dec 18, '23Come be our colleague @ME_at_UW in @uwengineering on the beautiful @UW Seattle campus!!! Several open faculty positions including Assistant Professor physics-based Machine Learning2.9×25k1202813
65Dec 6, '21Check out these excellent tutorial videos by Alan Kaptanoglu describing how to use the newest PySINDy software library! Eight videos to become an expert in data-driven model discov2.8×01893647
66Oct 18, '21Draft of new "Reinforcement Learning" chapter for 2nd Ed of our Data-Driven Science and Engineering Book Please comment/DM/email with any typos, comments, or suggestions. We have a2.8×01794044
67Dec 11, '20New video on the Shannon-Nyquist sampling theorem! This is a cornerstone of signal processing theory, with important connections to signal compression and sparse sampling. YouTube:2.7×02262034
68Jan 19, '21I'm really looking forward to releasing new videos over the next few weeks: Robust principal component analysis (RPCA) Sparse sensor placement optimization The anatomy of a dynamic2.6×02551715
69May 11, '24Neural network control block in @CollimatorAI!!! 🧠🤖💪🤯 The wait is over -- automatically differentiable neural network control! Try it out at2.6×22k19033100
70May 5, '23Everybody needs to check this out!! One of the most thoughtful and comprehensive tools to apply machine learning for scientific discovery. Really a tour de force2.6×21k1893357
71Aug 4, '22Just got copies of the 2nd Edition of "Data Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" from @CambridgeUP !!! I love that "new book" smell :) 2.4×02041829
72Feb 21, '25I feel like there should be at least three linearly independent jenga blocks…2.3×19k3901928
73Apr 23, '2130 minute overview video on turbulence closure modeling, including Reynolds averaged Navier-Stokes (RANS) and large eddy simulation (LES). This is all building up to how we use mac2.2×01653718
74May 10, '22Is this youtube cover for this Friday's video clickbaity or not if I actually do talk about death stars and mushroom clouds?2.1×0209167
75Mar 26, '21This was a super fun video to make. I walk through my favorite turbulence simulations and experiments. (also motivates use of machine learning) Hope you enjoy!! YouTube: Stunning t2.1×0154408
76Jun 23, '23🤯🤯🤯Blown away by how fast @CollimatorAI has integrated generative AI using GPT-4 into their modeling framework. Now possible to design and analyze control systems symbolically f2.0×17k1112035
77Jan 15, '21New lecture on: Robust Regression with the L1 Norm Check it out on YouTube:1.9×01581529
78Sep 4, '24... been in the lab with a pen and a pad ...1.9×16k260819
79Dec 15, '23The art of "what is possible" in AI and Machine Learning is changing so fast!!! ⚡️⚡️⚡️ I made this video in April, and it is already dated... need to make monthly updates! 🤣 Next 1.9×16k1482232
80May 30, '23Haha I didn’t know I was a hand model now!! 🤓😜👋 (Important to note that I don’t agree w the fear mongering here, just here for the dope hand gestures)1.8×15k10822
81Nov 15, '20Here is a free PDF of our Annual Review of Fluid Mechanics article on Machine Learning for Fluid Mechanics:1.7×01192125
82Sep 28, '20Super excited about this paper! So much of the history of mathematical physics involves discovering effective coordinate transformation to simplify dynamics. Now with deep learning1.7×01371722
83Aug 17, '21If you like my youtube channel, you will love Nathan Kutz's channel and videos!! Subscribe now!1.7×01322214
84Apr 22, '25New Graduate Certificate and Masters Degree in Machine Learning and Artificial Intelligence for Engineering at University of Washington!!! 🧠💪🧠1.7×14k2401864
85Sep 2, '21I'm a big fan of @AnnualReviews. They provide an overview and context for important research topics. There is no AR in Machine Learning & AI This could really benefit ML resear1.6×014798
86Dec 30, '21Eigenfoxes!1.5×0159145
89Oct 27, '20Huge thanks to Andy Freeberg (@Freebeazy) @ME_at_UW and Dennis Wise for the great story and photos about my math YouTube channel!1.3×0125114
90Nov 2, '20The Koopman and Perron Frobenius operators in dynamical systems form an important example of such an adjoint pair.1.2×0871322
92May 30, '23Excited to be on my way to the #ACC in San Diego!! Honored to be giving one of the kickoff semi-plenary lectures tomorrow AM: “Machine Learning for Sparse Nonlinear Modeling and Co1.2×9.9k13252
93Sep 4, '21Occasionally I get some pretty strange youtube comments. Once someone told me that instead of a forehead, I have a fivehead. Didn't bother me or anything, but I think about it *eve1.2×014002
94Jan 21, '24Heading to the filming studio today to start a new lecture series… need to get into the zone on my walk to work… Bringing out the big guns…1.1×9.4k10046
96Jun 3, '25New Graduate Certificate in Data-Driven Dynamical Systems & Controls! Come join us, Fall 2025! Topics include: Data-driven dynamics, control, & sensing with modern machine 1.0×8.4k1411753
97Aug 9, '21So excited to be on sabbatical this year @Caltech with @bingbrunton! Huge thanks to everyone at Caltech and the Moore Distinguished Scholar Program! PS: We are living two doors dow1.0×012220
98Feb 26, '21I don't think this has ever happened to me before... arXiv submission worked on the first try! 96 pages, 27 figures, >350 references... this is definitely a LaTeX high water mar0.9×010910
99Aug 23, '24New Graduate Certificate & Master of Science at @UW College of Engineering (@uwengineering): Artificial Intelligence and Machine Learning for Engineering 🎓🎓🎓Apply by Sept. 80.9×7.6k1011331
100Apr 4, '22Every day is leg day0.9×011101
101May 2, '21If @bingbrunton keeps reviewing papers, I'll keep testing new Negroni variants...0.8×09522

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