| 1 | Feb 16, '24 | While GenAI is fun, I think its economic value is grossly over estimated, because it’s unreliable, risky and expensive to make and serve. It’s fine for creative tasks, but not (yet | 58.2× | 621k | 1.5k | 231 | 378 |
| 2 | Aug 15, '23 | The trilogy is complete! My "Advanced Topics" book is officially released today. Buy it on Amazon, or get it for free at . | 41.8× | 446k | 4.7k | 726 | 2.1k |
| 3 | Jan 3, '23 | I am delighted to announce that the "real" camera-ready version of my new book, "Probabilistic Machine Learning: Advanced Topics", is now available. It will appear in print this su | 30.8× | 328k | 2.1k | 410 | 784 |
| 4 | Dec 9, '24 | I am happy to announce that the first draft of my RL tutorial is now available. | 30.1× | 321k | 4.4k | 713 | 4k |
| 5 | Jun 16, '23 | I like this paper. They prove that transformers are guaranteed to suffer from compounding errors when doing long reasoning chains (as @ylecun has argued), and much apparent "succes | 25.9× | 277k | 1.3k | 209 | 781 |
| 6 | Feb 28, '22 | I am delighted to announce that a draft of my latest book, “Probabilistic Machine Learning: Advanced Topics”, is now available online at . It covers #DeepGenerativeModels, #Bayesia | 25.6× | 0 | 4.6k | 955 | 1.2k |
| 7 | Jul 29, '22 | I am delighted to announce that the camera-ready version of my new book, "Machine Learning: Advanced Topics", is finally available online for free at (@mitpress will publish the ha | 22.9× | 0 | 3.6k | 805 | 1.4k |
| 8 | Jan 29, '25 | Wait till they start reasoning in continuous latent space (why restrict the model to human legible discrete tokens? ) | 21.4× | 228k | 1.1k | 64 | 388 |
| 9 | Aug 30, '21 | I am pleased to announce that the camera ready version of my new textbook, "Probabilistic Machine Learning: An Introduction", is finally available from . Hardcopies will be availab | 19.7× | 0 | 3.5k | 734 | 917 |
| 10 | Nov 5, '23 | I cover Kalman filtering in ch 8 of my book . We also have Jax code and show how to use it to fit a DNN to streaming data at | 18.5× | 197k | 657 | 82 | 516 |
| 11 | Mar 6, '22 | I just got a hardcopy of my own book - it finally feels real :) I'm very happy with the print quality (see attached photo) - but you can still get the pdf for free from if you pref | 18.1× | 0 | 3.8k | 435 | 794 |
| 12 | Sep 14, '23 | Planning with LLMs fails if you change the variable names to be 'meaningless'. Same thing for causal inference (see ). LLMs are just retrieving pieces of the correct computational | 16.5× | 176k | 282 | 46 | 234 |
| 13 | Dec 29, '23 | How can LLMs memorize text chunks exactly (eg from NYT) if they only do one pass SGD training with small learning rate? Does it require multiple copies of the same article to be on | 15.7× | 167k | 431 | 11 | 142 |
| 14 | Oct 3, '25 | I agree with @karpathy 's take here. The interview between @RichardSSutton and @dwarkesh_sp was interesting, but I think at times there was a communication gap due to some misunder | 15.5× | 165k | 765 | 91 | 806 |
| 15 | Feb 15, '22 | I am delighted to announce that my new book, “Probabilistic Machine Learning: An Introduction”, is finally available in print format! You can order it from , or from Amazon. Also a | 15× | 0 | 2.9k | 453 | 663 |
| 16 | Feb 11, '23 | Great article on LLMs - MLE training is exactly lossy data compression! I know RLHF is changing the loss to maximize predicted human ratings, but it still feels like a bit like lip | 14.6× | 156k | 353 | 49 | 122 |
| 17 | Aug 26, '25 | I just finished reading this interesting book by @druv_pai, @_sdbuchanan and colleagues. It's fairly "heavy" but provides a very satisfying theoretical explanation for many differe | 13.6× | 145k | 778 | 90 | 1k |
| 18 | Nov 23, '24 | When did the deep learning crowd first start callling prediction (i.e., forward pass) "inference"? And what should we now call traditional inference (i.e., *inverting* a forwards p | 12.6× | 135k | 743 | 50 | 251 |
| 19 | Apr 7, '24 | @NandoDF LLMs don’t have communicative goals, they are just next token predictors. With RLHF they may bias the token distribution to maximize predicted human preferences, but they | 12.2× | 130k | 190 | 16 | 60 |
| 20 | Oct 22, '25 | Hi @karpathy . I loved your interview! However, you said there is no work on LLM self-play. Not true. See eg "Spiral" from @natashajaques et al (agent-v-agent) and "Absolute Zero R | 11.9× | 127k | 441 | 12 | 257 |
| 21 | Nov 28, '23 | Wow! Prof Ali Sayed at EPFL has just published a 3 volume series (totalling 3000 pages) on ML/ signal processing/ data science. It's a bit like my book in terms of topics, but with | 11.9× | 126k | 723 | 101 | 713 |
| 22 | May 20, '25 | I am pleased to announce a new version of my RL tutorial. Major update to the LLM chapter (eg DPO, GRPO, thinking), minor updates to the MARL and MBRL chapters and various sections | 11.5× | 123k | 2.4k | 431 | 2.3k |
| 23 | Mar 25, '25 | I'm happy to announce that v2 of my RL tutorial is now online. I added a new chapter on multi-agent RL, and improved the sections on 'RL as inference' and 'RL+LLMs' (although latte | 10.8× | 115k | 1.8k | 281 | 1.8k |
| 24 | Feb 16, '24 | Sora from OpenAI and Gemini 1.5 from Google are both super impressive. Both rely on long context transformers. I think the lesson is that semi parametric models are great - conditi | 10.5× | 111k | 263 | 20 | 68 |
| 25 | Feb 3, '24 | Yann is advocating Model predictive control in a latent space , which is learned without a reconstruction loss, as a way to solve planning, and get truly controllable behavior. I a | 10.4× | 111k | 362 | 38 | 299 |
| 26 | Apr 14, '23 | Good paper. training massive models on massive datasets using massive compute is so inefficient, we need new and better ideas… Paucity of compute in academia may fuel more methodol | 9.9× | 106k | 410 | 58 | 211 |
| 27 | Jan 25, '24 | To all who like this - what if I told you this book is not about the linear deterministic kind of SSM used by Mamba, S4, etc. but instead is about Bayesian inference in stochastic | 9.9× | 105k | 518 | 34 | 419 |
| 28 | Nov 20, '23 | There is a lot of excitement about AI and LLMs at Google DeepMind, but at least they don't make us chant "Feel the AGI" at company parties... (Ilya always was a bit mystical about | 9.8× | 105k | 207 | 14 | 43 |
| 29 | Jan 26, '25 | Is it feasible to do a true tabula rasa version of deepseek R1 zero, starting from an LLM with random weights, similar to alpha zero? Or is starting with an LLM which is pre traine | 9.7× | 104k | 235 | 14 | 97 |
| 30 | Mar 8, '24 | @fchollet claimed that "learning to reason" (robustly across problem instances) is hard because of the nature of the MLE objective. This paper proves that claim. The reason is "sta | 9.7× | 104k | 364 | 64 | 414 |
| 31 | Feb 18, '24 | I’m not sure that maximizing likelihood of pixels is enough to force the model to reliably learn precise physics, as opposed to plausible dynamic visual texture - there is no press | 9.6× | 102k | 207 | 10 | 77 |
| 32 | Mar 29, '24 | Stanley's probability textbook () is fantastic, so I imagine this tutorial on diffusion is good as well. However, I am no longer of a fan of presenting the discrete time version - | 9.4× | 100k | 606 | 95 | 751 |
| 33 | Jun 9, '24 | I read this on the plane from London. It’s probably the best (non fiction) book I have ever read! A full stack approach to intelligent agents, from DNA to brains to society, from R | 9.2× | 99k | 726 | 62 | 799 |
| 34 | Sep 12, '23 | Here's my theory of why LLMs work so well at predicting stuff. 1. The world is a set of complex hierarchical generative model that gives us (xi, yi) pairs, where xi is an input con | 9.1× | 97k | 406 | 78 | 498 |
| 35 | Mar 14, '24 | It’s interesting that the math behind diffusion and flow models is so rich and deep - ODEs, SDEs, OT, VI, etc - but autoregresive transformers seems to be so shallow - just chain r | 8.8× | 94k | 512 | 36 | 232 |
| 36 | Sep 16, '25 | I'm pleased to announce another (fairly minor) update to my RL tutorial (I fixed some typos, cited more papers, and added a wee bit more stuff on multi-agent RL and RL for LLMs). I | 8.7× | 93k | 1.5k | 193 | 1.7k |
| 37 | Apr 17, '23 | I am happy to announce that MIT Press will soon make a second printing of my book "Probabilistic ML: An Intro". I have uploaded the latest version to . This fixes over 100 github i | 8.7× | 93k | 579 | 65 | 180 |
| 38 | Aug 30, '21 | A draft of the sequel, "Probabilistic Machine Learning: Advanced Topics", will be released by late Fall 2021. Together these two new books amount to about ~2000 pages of content. S | 8.0× | 0 | 1.7k | 280 | 279 |
| 39 | Jul 27, '25 | Finally, a good modern book on causality for ML: by @eliasbareinboim. This looks like a worthy successor to the ground breaking book by @yudapearl which I read in grad school. (h/t | 7.6× | 81k | 1k | 154 | 1.2k |
| 40 | Dec 26, '24 | He sounds like every Tiger Mom / Dad type that I’ve seen in in Palo Alto :) “More math tutoring, fewer sleepovers. More weekend science competitions, fewer Saturday morning cartoon | 7.5× | 80k | 316 | 12 | 80 |
| 41 | Oct 8, '25 | I am pleased to announce our new paper, which provides an extremely sample-efficient way to create an agent that can perform well in multi-agent, partially-observed, symbolic envir | 7.1× | 76k | 804 | 96 | 737 |
| 42 | Jun 22, '24 | This is obviously true if you think for just a minute about animal intelligence and evolution. Language enables cultural ratchet of human society, but builds on embodied cognition. | 7.1× | 76k | 213 | 32 | 76 |
| 43 | Dec 22, '22 | I am pleased to announce the release of , which is a library for structural time series forecasting in JAX, built on top of dynamax. Thanks to @mxinglongli for doing most of the he | 7.0× | 75k | 490 | 61 | 148 |
| 44 | Feb 13, '24 | I’ve never understood why modern nonconvex line search did not become more popular, since it’s clearly hard to find a single step size which is good throughout the loss landscape, | 6.9× | 73k | 252 | 17 | 129 |
| 45 | Apr 18, '25 | I am pleased to announce that I have updated the online versions of my 2 textbooks (see ): I fixed all issues listed on github, added some new references (esp on LLMs), and made a | 6.4× | 68k | 1.3k | 167 | 836 |
| 46 | Nov 6, '24 | Looks like I’m 3 for 3 . | 6.3× | 67k | 254 | 13 | 48 |
| 47 | Dec 11, '23 | If you are attending NeurIPS this year, please come to the #MITPress booth (number 10) to sign up for a free signed copy of my books (volumes 1 and 2). Raffle will be Thursday 9.30 | 6.2× | 66k | 628 | 39 | 144 |
| 48 | Oct 9, '24 | Yes! If you want to know more about Hopfield networks and Boltzmann machines (Hinton's extension of Hopfield), and how they relate to Ising models, PGMs, and EBMs, see sec 4.3 of m | 6.2× | 66k | 471 | 70 | 286 |
| 49 | Oct 20, '24 | This looks like an excerpt from my book (p253). I intentionally assigned numbers to every equation so people can refer to them (eg student: "what is the const term in 5.170?" or gi | 6.1× | 65k | 460 | 15 | 102 |
| 50 | Nov 19, '24 | The achiles heel of Bayes is that it is only optimal if the model is the true DGP, which it never is. (That, plus all the computational issues). Generalized Bayes to the rescue! (A | 5.8× | 62k | 312 | 32 | 244 |
| 51 | Oct 28, '25 | I am pleased to share our new NeurIPS paper for online Bayesian inference for neural networks. Instead of focusing on updating the parameter posterior, we work with the predictive | 5.8× | 62k | 523 | 41 | 326 |
| 52 | Jan 28, '25 | I read the R1 zero paper and the method is very simple , just a tweak to PPO to fine tune deepseek v3 base using a verifiable sparse binary reward. The fact that they got it to wor | 5.6× | 60k | 447 | 38 | 239 |
| 53 | May 7, '24 | I spent the day playing with @LightningAI studio, to speed up my NeurIPS experiments, and it is totally awesome! It’s just like developing in VSCode on your laptop, except it runs | 5.6× | 60k | 309 | 21 | 158 |
| 54 | May 6, '22 | I am pleased to announce some significant improvements to the code that accompanies my book, "Probabilistic Machine Learning: An Introduction". 1/5 | 5.6× | 0 | 1.1k | 104 | 323 |
| 55 | Mar 5, '24 | I think Apple is playing the long game here to actually profit from AGI - people will buy more iPhones so they can fine tune models on their private data locally on device - Person | 5.3× | 56k | 213 | 17 | 67 |
| 56 | Sep 22, '23 | I find claims that AGI will "solve" poverty, climate change, cancer etc to be so naive, because most of these problems have major non-technical bottlenecks. This blog post is an aw | 5.2× | 56k | 370 | 47 | 213 |
| 57 | Apr 13, '24 | Totally agree. Unfortunately for me, the golden hours, where Deepmind work hours in California overlap with work hours in Europe, are during my morning, so my day usually starts wi | 4.9× | 52k | 344 | 26 | 122 |
| 58 | Jan 19, '24 | This is a good visualization of the (obscene) size of the data and compute for LLMs. This feels like a very inefficient information extraction machine. Scale is not enough… | 4.5× | 48k | 330 | 35 | 108 |
| 59 | Jun 15, '22 | Some random musings on how the whole "AI scaling" debate. It is clear that neural nets can model any predictive distribution p(x_future|x_past) given enough parameters and data, si | 4.3× | 0 | 805 | 130 | 208 |
| 60 | May 10, '24 | I am happy to share our new ICML paper on WOLF, the "Weighted Observation Likelihood Filter", which is a simple way to robustify many existing Bayesian filtering techniques (such a | 4.3× | 45k | 225 | 21 | 140 |
| 61 | Nov 16, '25 | This is a much more intuitive version of the prisoners dilemma from Jon Kleinberg’s excellent book, , that covers the holy trifecta that Michael Jordan keeps discussing, namely Eco | 4.2× | 45k | 349 | 41 | 412 |
| 62 | Jan 28, '23 | “Choosing a distribution is not a statistical question; it is a modeling decision. No statistical test can tell you whether a particular distribution is a good model for your data” | 4.1× | 44k | 211 | 24 | 54 |
| 63 | Feb 10, '22 | Finally got my hard copy! It was an honor to write the foreword for this very useful book. | 4.0× | 0 | 850 | 82 | 191 |
| 64 | Jun 27, '24 | I am pleased to announce that I have (slightly) updated the online version of my textbooks () - I fixed over 75 github issues (mostly trivial typos) filed since August 2023 (thanks | 3.9× | 42k | 755 | 108 | 373 |
| 65 | Feb 13, '25 | Yes, I'm a big fan of Kalman filtering and fancier non-linear, non-Gaussian SSMs. Fun fact: you can also use this machinery to train neural networks from streaming, non-stationary | 3.9× | 42k | 528 | 61 | 416 |
| 66 | Aug 16, '23 | Several people pointed out that I missed an opportunity to use a different digit to distinguish "book 0" (2012). "book 1" (PML: Intro 2022) and "book 2" (PML: Advanced, 2023). I as | 3.9× | 42k | 288 | 17 | 70 |
| 67 | Nov 14, '22 | I am delighted to announce the release of “dynamax”, an open source library for dynamic state space models in JAX. It supports inference and learning in HMMs, Linear Gaussian SSMs, | 3.8× | 0 | 719 | 131 | 166 |
| 68 | Mar 14, '25 | Gemma 3 is best in class for a VLM that runs on 1 GPU. Should make RL fine tuning feasible. Also Academic researchers can apply for Google Cloud credits (worth $10,000 per award) t | 3.8× | 40k | 304 | 42 | 122 |
| 69 | May 31, '24 | I am delighted to share our recent paper: . It can be thought of as a version of the Bayesian Learning Rule, extended to the fully online setting. This was a super fun project with | 3.8× | 40k | 336 | 39 | 238 |
| 70 | Oct 18, '24 | Excited to share our new paper on "Diffusion Model Predictive Control" (D-MPC). Key idea: leverage diffusion models to learn a trajectory-level (not just single-step) world model t | 3.8× | 40k | 549 | 73 | 408 |
| 71 | Oct 8, '22 | I finally got my copy. Should be a fun read! | 3.5× | 0 | 670 | 41 | 229 |
| 72 | Nov 30, '24 | 100%. The idea that AI will solve intractable social problems - whether optimizing government or “solving” poverty - is so naive. These are values problems, not technical problems | 3.4× | 36k | 282 | 32 | 49 |
| 73 | Jul 27, '24 | This is a very interesting talk about LLMs, doing proper science (controlled experiments with synthetic data, etc). It is great that FAIR encourages this kind of open basic researc | 3.2× | 34k | 266 | 26 | 187 |
| 74 | Nov 18, '24 | I'm happy to announce our new review paper on methods for online prediction (and segmentation) in the presence of non-stationarity, covering both gradual and sudden changes. Led by | 3.2× | 34k | 340 | 43 | 258 |
| 75 | Sep 6, '21 | For those that think that all we need to "solve AGI" is to "train bigger models" (eg GPT4?), I recommend this paper on causal inference in / for NLP as an antidote to such naive th | 3.1× | 0 | 546 | 77 | 190 |
| 76 | Nov 3, '24 | I am delighted to share our NeurIPS'24 paper "Bayesian Online Natural Gradient" . BONG can be thought of as a version of the Bayesian Learning Rule (BLR), extended to the fully onl | 2.8× | 30k | 356 | 41 | 215 |
| 77 | Mar 7, '25 | Very cool. Non-amortized variational EM for fitting a latent variable generative model to a small set of examples with a shared hidden common cause is indeed a promising approach f | 2.8× | 30k | 271 | 40 | 196 |
| 78 | Oct 13, '25 | Good article on AI / data center boom / bubble. The costs will outweigh returns for many years, until we make models much more efficient to train and serve (thinking tokens, I’m lo | 2.8× | 30k | 209 | 14 | 195 |
| 79 | Jul 19, '24 | Here are some of my predictions for the future. These are based on vibes and intuition, not careful analysis, so may be worthless, although I am willing to bet money on them. I've | ⚡ 2.7× | 524k | 315 | 33 | 275 |
| 80 | Mar 29, '24 | I'm delighted to present that our AutoBNN library is out. We show how to define a meaningful prior over functions, based on sums and products of base GP kernels, and convert it to | 2.7× | 29k | 244 | 31 | 137 |
| 81 | Mar 11, '22 | Interested in converting the theory of "Probabilistic Machine Learning: Advanced Topics" into beautiful #JAX code? Available to work this summer? Consider applying to #GSoC. Detail | 2.6× | 0 | 488 | 80 | 129 |
| 82 | Nov 7, '24 | Check out our NeurIPS paper on planning in (discrete) MDPs as (a new kind of) inference. We extend to factored models using loopy BP. Joint with @lazarox8, @dileeplearning and Li Y | 2.5× | 27k | 292 | 46 | 242 |
| 83 | Apr 4, '22 | Google Summer of Code applications open today. Apply to work with me on making open source advanced probabilistic ML demos in JAX. Details: | 2.5× | 0 | 462 | 86 | 116 |
| 84 | Jul 3, '24 | I guess the Twitter censorship algorithm is Bayesian? | 2.4× | 26k | 214 | 7 | 7 |
| 85 | May 4, '24 | @aaron_defazio Yes, I mention this in sec 11.4.3 of my book (). It is called "debiasing" and does indeed improve prediction error a lot - see example below (compare L1 in row 2 to | 2.4× | 26k | 199 | 21 | 143 |
| 86 | Jun 12, '23 | UBC refugees reunite at the Google Deepmind office in London! w/ @NandoDF and @ArnaudDoucet1 | 2.4× | 25k | 235 | 6 | 6 |
| 87 | Feb 7, '23 | My recent talk at UBC+SFU on "The 4 pillars of ML: prediction, decision, discovery, generation" is now available at . (This is slightly more polished than the UBC version at ) | 2.3× | 25k | 203 | 33 | 93 |
| 88 | Jul 15, '25 | Don’t just predict the mean of your clean data given your noisy data, predict the full distribution. | 2.3× | 25k | 254 | 30 | 165 |
| 89 | Apr 3, '25 | I am pleased to announce that the paper on our Dynamax Jax library for SSMs is now available at . Code is at . Joint work with @scott_linderman @grrddm @petergchang @karalleyna @Gi | 2.2× | 23k | 314 | 49 | 149 |
| 90 | Mar 6, '22 | BTW, if you are teaching from my 2022 book, and want to know how it differs from my 2012 book, you can look at this handy "transition guide" prepared by @mitpress . | 2.0× | 0 | 428 | 45 | 99 |
| 91 | Jan 19, '22 | I'm happy to announce that our paper on online Bayesian inference for "neural bandits" was accepted to AISTATS'22. Paper: . Code: . Thanks to @grrddm and @karalleyna for their hard | 1.7× | 0 | 329 | 40 | 90 |
| 92 | Mar 17, '23 | I finally installed github copilot (better late than never :). Holy cow, it's awesome! | ⚡ 1.7× | 935k | 411 | 15 | 59 |
| 93 | Jul 19, '24 | It's mostly pretty bleak. But I think there are a few things individuals can do to actually make a positive difference: 1. Vote wisely 2. Eat less meat 3. Be kind to people 4. Seek | 1.6× | 17k | 206 | 4 | 24 |
| 94 | Jun 25, '22 | This is a good article. Lay people don’t think generative image models are intelligent, but get easily fooled by the verbal sophistry of generative language models- for evolutionar | 1.2× | 0 | 204 | 31 | 68 |
| 95 | Mar 25, '24 | @DarceyNLP This! | 1.0× | 11k | 238 | 24 | 328 |
| 96 | Jun 15, '22 | To perform "strong generalization" - ie make reliable predictions under interventions and changing distributions - you have to learn (some approximation to) the underlying data gen | 1.0× | 0 | 264 | 23 | 16 |
| 97 | Jan 16, '22 | I finally got covid, like so many other people. Luckily my symptoms are mild. My son got it 2 weeks ago but still tests +ve using NAAT test but -ve for antigen. So I made this litt | 1.0× | 0 | 229 | 12 | 30 |
| 98 | May 20, '22 | I agree with Yann on this - we need more new ideas, not just scaling current methods, which are woefully data inefficient and fragile. | 1.0× | 0 | 246 | 21 | 25 |
| 99 | Jul 29, '22 | This book covers cutting edge topics such as generative models, Bayesian inference, reinforcement learning, causality, distribution shift, etc. See attached TOC. | 0.9× | 0 | 212 | 18 | 34 |
| 100 | Jun 15, '22 | So I disagree that "scale is all you need". Instead we also need models and assumptions about data generating mechanisms - but these need to be checked against reality by performin | 0.9× | 0 | 247 | 11 | 7 |