Phil Long @philipmlong
machine learning researcher at Google DeepMind phillong.info Joined April 2009-
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==== My recommendations today ==== Large Stepsize Gradient Descent for Logistic Loss: Non-Monotonicity of the Loss Improves Optimization Efficiency arxiv.org/abs/2402.15926 (1/2)
G. Valiant. Matrix Multiplication in Quadratic Time and Energy? Towards a Fine-Grained Energy-Centric Church-Turing Thesis. arxiv.org/abs/2311.16342
Introducing the AlgoPerf: Training Algorithms Benchmark! Compete for a share of the $50,000 prize pool by submitting more effective and efficient neural network training algorithms. Learn more mlcommons.org/2023/11/mlc-al… #Algorithms #MachineLearning #Competition
The code from the original version of "Sharpness-Aware Minimization and the Edge of Stability" had a bug. Patch: github.com/google-deepmin…. New version of the paper: arxiv.org/abs/2309.12488.
Code for the paper with Peter Bartlett called "Sharpness-Aware Minimization and the Edge of Stability": github.com/google-deepmin….
New paper with Peter Bartlett called "Sharpness-Aware Minimization and the Edge of Stability": arxiv.org/abs/2309.12488.
Sharpness Minimization Algorithms Do Not Only Minimize Sharpness To Achieve Better Generalization. (arXiv:2307.11007v1 [cs.LG]) ift.tt/gP0X5GK
Dai, Y., Ahn, K., & Sra, S. (2023). The Crucial Role of Normalization in Sharpness-Aware Minimization. arxiv.org/abs/2305.15287
One of the best known open problems in combinatorics is the union-closed conjecture, which states that if you have a finite collection X of sets such that if A and B belong to X then so does the union of A and B, then at least one element of X belongs to at least half of them. 1/
S. Kale, J. Lee, C. De Sa, A. Sekhari, and K. Sridharan. From Gradient Flow on Population Loss to Learning with Stochastic Gradient Descent. arxiv.org/abs/2210.06705.
New paper with Peter Bartlett and @obousquet called "The Dynamics of Sharpness-Aware Minimization: Bouncing Across Ravines and Drifting Towards Wide Minima": arxiv.org/abs/2210.01513.
New paper with @niladrichat called "Deep linear networks can benignly overfit when shallow ones do": arxiv.org/abs/2209.09315.
Benign, Tempered, or Catastrophic: A Taxonomy of Overfitting. (arXiv:2207.06569v1 [cs.LG]) ift.tt/RjCupWV
LLMs can do in-context learning, but are they "learning" new tasks or just retrieving ones seen during training? w/ @shivamg_13, @percyliang, & Greg Valiant we study a simpler Q: Can we train Transformers to learn simple function classes in-context? 🧵 arxiv.org/abs/2208.01066
Excited to announce that we've set up the first Google Research Hub in Australia! We've got a great leadership team, with Grace Chung, Peter Bartlett, and @stevemblackburn, and we're hiring! More at goo.gle/3IuNG5H. @GoogleAI
List of accepted papers to FOCS 2022 now online: focs2022.eecs.berkeley.edu/accepted_paper…
Accepted papers for #COLT2022 learningtheory.org/colt2022/accep…
Excited to share the manuscript that we've been working on with Rob Schapire, @mtelgars, and Ziwei Ji for a while. Our goal: We seek to extend the fundamentals of convex analysis by incorporating “points at infinity” into ℝⁿ. arxiv.org/abs/2205.03260
Is Importance Weighting Incompatible with Interpolating Classifiers? deepai.org/publication/is… by Ke Alexander Wang et al. #LossFunction #NeuralNetwork
The list of papers to be presented at #STOC2022: acm-stoc.org/stoc2022/accep… Crossing my fingers that we will be there in person!
Clément Canonne @ccanonne_
31K Followers 928 Following Senior Lecturer @Sydney_Uni. Postdocs @IBMResearch, @Stanford; PhD @Columbia. Converts ☕ into puns: sometimes theorems. He/him. @[email protected]Gautam Kamath @thegautamkamath
44K Followers 505 Following Assistant Prof of CS @UWaterloo, Faculty @VectorInst, Canada @CIFAR_News AI Chair. Co-EiC @TmlrOrg. I lead @TheSalonML. Privacy, robustness, machine learning.Dan Roy @roydanroy
45K Followers 2K Following ML / AI researcher, emphasis on theory. Research Director and Canada CIFAR AI Chair, @VectorInst Professor, @UofT (Statistics/CS)Amin Karbasi @aminkarbasi
8K Followers 2K Following Associate Professor at Yale University, staff research scientist at Google.Maxim Raginsky @mraginsky
8K Followers 2K Following father, academic, raconteur, aging wannabe hipster blog: https://t.co/akk6LCvKw6Csaba Szepesvari @CsabaSzepesvari
8K Followers 704 Following "If there is not folly in the world, then the world itself is folly. You must understand that mistakes are not always regrets." - Paul Tobin, Bandette🤠Behnam Neyshabur @bneyshabur
18K Followers 690 Following Senior Staff Research Scientist @GoogleDeepMind, Interested in reasoning w. LLMs, traveling & backpackingFrancesco Orabona @bremen79
6K Followers 394 Following Associate professor at @KAUST_News. Formerly @BU_ece, @sbucompsc, @YahooResearch, @TTIC_Connect. ML theory&practice and history of scienceSam Power @sp_monte_carlo
17K Followers 7K Following Lecturer in Maths & Stats at Bristol. Interested in probabilistic + numerical computation, statistical modelling + inference. (he / him)Frank Nielsen @FrnkNlsn
23K Followers 1K Following Machine Learning & AI, Information Sciences & Information Geometry, Distances & Statistical models, HPC. "Geometry defines the architecture of spaces" @SonyCSLJason Lee @jasondeanlee
10K Followers 3K Following Associate Professor at Princeton and Research Scientist at Google DeepMind. ML/AI Researcher working on foundations of LLMs and deep learningAlex Dimakis @AlexGDimakis
13K Followers 2K Following UT Austin Professor. Researcher in Machine Learning and Information Theory. National AI Institute on the Foundations of Machine Learning (IFML) Co-director.Aaron Roth @Aaroth
10K Followers 639 Following CS professor at Penn. Amazon Scholar at AWS. Author of The Ethical Algorithm (w/ Michael Kearns). I study machine learning, privacy, game theory, and fairness.Michal Valko @misovalko
5K Followers 2K Following Llama @AIatMeta Paris & Inria & MVA - Ex: Gemini and BYOL @GoogleDeepMindGautam Goel @gautamcgoel
4K Followers 414 Following Postdoc studying ML at the Simons Institute at UC Berkeley.Pierre Alquier @PierreAlquier
8K Followers 5K Following Professor of Statistics @ESSEC_AP 🇸🇬 // Previously @RIKEN_AIP 🇯🇵 @ENSAEparis 🇫🇷 @ucddublin 🇮🇪 🇪🇺 // random posts about research & birds photos // 🌈Tom Goldstein @tomgoldsteincs
23K Followers 2K Following Professor at UMD. AI security & privacy, algorithmic bias, foundations of ML. Follow me for commentary on state-of-the-art AI.Jeremy Cohen @deepcohen
4K Followers 868 Following PhD student in machine learning at Carnegie Mellon. The goal of my research is to turn deep learning into a real engineering discipline.Gergely Neu @neu_rips
9K Followers 666 Following ML theory nerd & AI non-enthusiast. thinking a lot about online learning these days!Vikram Dutt @vd_
817 Followers 7K FollowingAlex Meterez @alexmeterez
125 Followers 566 Following Incoming CS PhD student @Harvard, @MPI_IS, @ETH_en, @upb1818, @IBMResearch, @Adobemlecchaslayer156 @mlecchasla37448
97 Followers 3K FollowingParsa Mirtaheri @parsamirta
220 Followers 921 Following phd student @ucsd_cse interested in the foundations of machine learning, @SharifSocial AlumJitendra Sharma @jkumarsharma998
816 Followers 6K Following Curious about Research in AI. NLP and Computer Vision Interest me. Curious about truth and existence. Views are personal.Eva Louise Marie Gabr.. @e681554349
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138 Followers 788 FollowingNiki Hasrati @niki_hasrati
82 Followers 106 Following ML PhD student @CarnegieMellon’s School of CS | Previously CS master’s student @UWaterloo | Researching the intersection of theoretical CS and ML theorykumar @kumar__nn
0 Followers 1K FollowingGracie-mae Solwold @GSolwold23009
80 Followers 5K FollowingThea Helfen @helf_th
20 Followers 3K FollowingNakisha Scifres @NakishaSci27044
78 Followers 5K FollowingPensé FFun @inftyCategory
113 Followers 6K FollowingPam Jhanson @JhansonPam97549
50 Followers 5K FollowingSamet Oymak @SametOymac
839 Followers 224 Following EECS Prof @UMich, Research on ML+RL+LLM theory & algosMengdi Wang @MengdiWang10
1K Followers 265 Following Princeton professor in AIML, optimization and data science. Program Chair @ICLR2023. Formerly @MIT @GoogleDeepmind @TsinghuaSparkle Vafiades @VafiaSpark
62 Followers 5K Followinguzakta @OmzbeyOzbey
35 Followers 344 FollowingSienna-rose Slinker @slink_r
37 Followers 5K FollowingHaoyueBai @haoyue_bai
933 Followers 838 Following Ph.D. student at Computer Science Department @UWMadisonCS, MPhil @HKUSTCSE.Yinglun Zhu @yinglun122
248 Followers 491 Following Assistant professor @UCRiverside @ucr_ece. PhD @WisconsinCS. Working on interactive machine learning + large pre-trained models (e.g., LLMs).Bhavya Vasudeva @bhavya_vasudeva
39 Followers 231 Following PhD candidate @CSatUSC | @iitroorkee'20 | Interested in theory of deep learning, optimization and robustness/generalization | she/herCS Theory Fan @CSTheoryFan
63 Followers 760 FollowingPuneesh Deora @puneeshdeora
33 Followers 234 Following Grad student at UBC. Working on ML Theory and Optimization.Jacky XU-e/acc @JackyXU666
348 Followers 4K Following A Zenist in Metaverse/QuanAI&FinAI Preacher/GenAI Business ArchitectHussein Dia @HusseinDia
3K Followers 3K Following Future Mobility Professor. Transport Technology & Decarbonisation. Researching Innovations for Sustainable Transport.Cyclization Zhang @QwqAwaZ
41 Followers 60 FollowingMakya @Makya12345678
6 Followers 962 FollowingAditya Mohan @amsks96
330 Followers 647 Following Ph.D. Student searching for Structure in #ReinforcementLearning, #MetaLearning and #AutoML amsks96 on the blue appMaksLew @MaksymilianLew
7 Followers 256 FollowingRamneet Singh @Ramneet_Singhh
481 Followers 3K Following Visiting Researcher @gatech_scs | Senior Undergraduate in CS at IIT Delhi | Research in PL+ML | Learning Category Theory | Sports + Music + Food (in that order)Raayan Dhar @raayandhar
134 Followers 596 Following @UCLA Trying to get out alive; probabilistic to a faultEl Capitano 🇧🇪�.. @El_Capitano_O
939 Followers 5K Following 🖥️ AI XR & Web3 Events Org.⚙️Engineer passionate about sustainable Health-Ed-Tech initiatives📚Book Club Owner and 🏋️♂️AthleteMingda Qiao @ACMonster_Qiao
130 Followers 92 Following Postdoc @ Simons Institute working on learning theorySamuel Schapiro @samschapiro
30 Followers 73 Following ML Theory @illinoiscs | Modern Paradigms in Generalization @SimonsInstitute | Working on generalization, deep learning theory, and transfer learning.Jaehong Yoon @jaeh0ng_yoon
535 Followers 678 Following Postdoc @unccs & @uncnlp, working w/ @mohitban47 | PhD @MLAI_KAIST | Interned @MSFTResearch | Video & Multimodal LLM, Efficiency, Compositionality, FaithfulnessEO @EO84494235
63 Followers 1K FollowingVidya Muthukumar @v__muthukumar
89 Followers 71 Following Assistant Professor of ECE and ISyE at Georgia Tech. Interested in anything involving game theory, statistical and/or online learning. Co-organizer of @let4all.Sergey Litvinenko @sergeyltvn
262 Followers 3K Following @AUBGedu '20 Mathematics and Economics @WU_vienna '23 Quantitative Finance RT ≠ endorsement https://t.co/UP4UK7Y7FXClément Canonne @ccanonne_
31K Followers 928 Following Senior Lecturer @Sydney_Uni. Postdocs @IBMResearch, @Stanford; PhD @Columbia. Converts ☕ into puns: sometimes theorems. He/him. @[email protected]Gautam Kamath @thegautamkamath
44K Followers 505 Following Assistant Prof of CS @UWaterloo, Faculty @VectorInst, Canada @CIFAR_News AI Chair. Co-EiC @TmlrOrg. I lead @TheSalonML. Privacy, robustness, machine learning.Yann LeCun @ylecun
710K Followers 718 Following Professor at NYU. Chief AI Scientist at Meta. Researcher in AI, Machine Learning, Robotics, etc. ACM Turing Award Laureate.Jelani Nelson @minilek
22K Followers 184 Following Professor @Berkeley_EECS. Research Scientist (part-time) @GoogleAI. Founder @addiscoder. 🇻🇮🇺🇸🇪🇹Amin Karbasi @aminkarbasi
8K Followers 2K Following Associate Professor at Yale University, staff research scientist at Google.Maxim Raginsky @mraginsky
8K Followers 2K Following father, academic, raconteur, aging wannabe hipster blog: https://t.co/akk6LCvKw6Csaba Szepesvari @CsabaSzepesvari
8K Followers 704 Following "If there is not folly in the world, then the world itself is folly. You must understand that mistakes are not always regrets." - Paul Tobin, Bandette🤠Behnam Neyshabur @bneyshabur
18K Followers 690 Following Senior Staff Research Scientist @GoogleDeepMind, Interested in reasoning w. LLMs, traveling & backpackingPercy Liang @percyliang
49K Followers 408 Following Associate Professor in computer science @Stanford @StanfordHAI @StanfordCRFM @StanfordAILab @stanfordnlp | cofounder @togethercompute | PianistBoaz Barak @boazbaraktcs
17K Followers 419 Following Computer Scientist. See also https://t.co/EXWR5k634w, https://t.co/SEVX6it6z3 ( @[email protected] , boaz.barak in threads ). Opinions my own.Peyman Milanfar @docmilanfar
67K Followers 263 Following Distinguished Scientist at Google Research. Computational Imaging, Machine Learning, and Vision. Tweets = personal opinions. May change or disappear over time.Ben Recht @beenwrekt
26K Followers 365 Following optimization. machine learning. uc berkeley. I blog at https://t.co/fkJujOPsJb The world won't end.Francesco Orabona @bremen79
6K Followers 394 Following Associate professor at @KAUST_News. Formerly @BU_ece, @sbucompsc, @YahooResearch, @TTIC_Connect. ML theory&practice and history of science(((ل()(ل() 'yoav))).. @yoavgo
46K Followers 2K FollowingJason Lee @jasondeanlee
10K Followers 3K Following Associate Professor at Princeton and Research Scientist at Google DeepMind. ML/AI Researcher working on foundations of LLMs and deep learningElad Hazan @HazanPrinceton
11K Followers 187 Following machine learning and optimization @PrincetonCS & Google DeepMind Princeton, dad^3Alex Dimakis @AlexGDimakis
13K Followers 2K Following UT Austin Professor. Researcher in Machine Learning and Information Theory. National AI Institute on the Foundations of Machine Learning (IFML) Co-director.TCS blog aggregator @cstheory
6K Followers 9 Following Posts from the Theory of Computing Blog Aggregator maintained by @nimaanari, @abhatt2, and @thegautamkamath.Aaron Roth @Aaroth
10K Followers 639 Following CS professor at Penn. Amazon Scholar at AWS. Author of The Ethical Algorithm (w/ Michael Kearns). I study machine learning, privacy, game theory, and fairness.Hongxun Wu @HongxunWu
503 Followers 202 Following Was a happy undergrad at Yao Class, Tsinghua Now a grad student at BerkeleyAlex Meterez @alexmeterez
125 Followers 566 Following Incoming CS PhD student @Harvard, @MPI_IS, @ETH_en, @upb1818, @IBMResearch, @AdobeParsa Mirtaheri @parsamirta
220 Followers 921 Following phd student @ucsd_cse interested in the foundations of machine learning, @SharifSocial AlumNiki Hasrati @niki_hasrati
82 Followers 106 Following ML PhD student @CarnegieMellon’s School of CS | Previously CS master’s student @UWaterloo | Researching the intersection of theoretical CS and ML theoryMengdi Wang @MengdiWang10
1K Followers 265 Following Princeton professor in AIML, optimization and data science. Program Chair @ICLR2023. Formerly @MIT @GoogleDeepmind @TsinghuaDamek Davis @damekdavis
3K Followers 639 Following Optimization/ML Learning a little about lean https://t.co/cQ1yukSnEQEshaan Nichani @EshaanNichani
494 Followers 221 Following PhD student @ Princeton University · Theoretical Machine Learning · Previously Math & CS @ MIT · he/himEric Rosen @IM_Rosen
87K Followers 287 Following International Chess Master & Streamer [email protected] https://t.co/nPQf8VTGHo https://t.co/vFAiIzwC9CYiwen Kou @YiwenKou666
763 Followers 1K Following Second year CS grad student @UCLA 👩💻| Prev: Undergrad @PKU1898 🙇♀️ | Deep Learning | She/herMingda Qiao @ACMonster_Qiao
130 Followers 92 Following Postdoc @ Simons Institute working on learning theoryVidya Muthukumar @v__muthukumar
89 Followers 71 Following Assistant Professor of ECE and ISyE at Georgia Tech. Interested in anything involving game theory, statistical and/or online learning. Co-organizer of @let4all.Daniel Litt @littmath
37K Followers 871 Following Assistant professor (of mathematics) at the University of Toronto. Algebraic geometry, number theory, forever distracted and confused, etc. He/him.Arnaud Doucet @ArnaudDoucet1
4K Followers 627 Following Professor at Oxford @OxCSML, @oxfordstats, Professorial fellow at @Hertfordcollege and Senior Staff Research Scientist at @GoogleDeepMind.Team Dean @Dean24Official
2K Followers 178 Following Official team account for @deanbphillips for President. 🇺🇸 It's time for courage. Invest in our campaign: https://t.co/hNGINKM7EzYihe Deng @Yihe__Deng
2K Followers 1K Following CS PhD student @UCLA | Prev. Applied Scientist Intern @AWS | LLM, Multi-modal learningPedram Akbarian @pedakb
112 Followers 503 Following PhD Student @UTAustin | ML Theory • Optimization • StatisticsDino Sejdinovic @sejDino
2K Followers 897 Following Professor of Statistical Machine Learning at @UniofAdelaide, @TheAIML. Previously at @OxCSML, @GatsbyUCL, @BristolUni.Winnie Xu @winniethexu
2K Followers 457 Following Cookin' up LLM alignment at scale. Raised by @MetaAI @StanfordAILab @GoogleDeepmind. BS in CS/Math @UofT.NWS Portland @NWSPortland
111K Followers 391 Following Official Twitter account for the National Weather Service Portland. Details: https://t.co/FMasNSGdaSDaniel Murfet @danielmurfet
699 Followers 508 Following Mathematician at the University of Melbourne. Working on Singular Learning Theory and AI alignment.Alex Damian @alex_damian_
250 Followers 74 Followinggal vardi @galvardi
52 Followers 150 FollowingZhichao Wang @Zhichao1Wang
51 Followers 218 Following PhD student @ UC San Diego. Random matrix theory, free probability and deep learning.Nonesuch Records @NonesuchRecords
44K Followers 464 Following An oasis of artistic excitement (Boston Globe), featuring contemporary classical, jazz, Americana, popular, world, and music theater.Chi Jin @chijinML
2K Followers 186 Following Assistant Professor @Princeton. Researcher on theoretical foundations of machine learning, reinforcement learning, games and optimization.Mahdi Soltanolkotabi @mahdisoltanol
293 Followers 317 Following Cycling Academic; work on optimization, probability/statistics, theory of deep learning, AI for science/healthcare; director of center on AIF4S @USCMorgan Twp. Boys Bask.. @MTwpBoysBBall
86 Followers 21 Following Official Twitter Account Of The Morgan Twp. Cherokees Boys Basketball Team.Xuheng Li @xuhengli_
303 Followers 798 Following CS PhD student @UCLA, supervised by @QuanquanGu | RL, deep learning theory, diffusion model | Previously BSc @PKU1898 | StargazerHeming Xia @hemingkx
572 Followers 1K Following Ph.D. student @HongKongPolyU | Prev MEng & BSc @PKU1898 | Prev Intern @MSFTResearch (MSRA) | NLP | Language ModelingAleksandr Kovalev @koval_alvi
512 Followers 2K Following Co-founder & CEO @alvilabs. Building AI models which understand human intentions.Samet Oymak @SametOymac
839 Followers 224 Following EECS Prof @UMich, Research on ML+RL+LLM theory & algosruicheng xian @ruichengxian
22 Followers 35 Following PhD student @IllinoisCS studying machine learning.Hunter Lang @hunterjlang
262 Followers 248 Following phd student at @MIT_CSAIL working in self/weak supervision, nlp with @David_Sontag. he/himBen Grimmer @prof_grimmer
3K Followers 434 Following Assistant Professor @JohnsHopkinsAMS, Optimization, PhD @CornellORIE Mostly here to share pretty maths/3D prints, sometimes sharing my researchOmar Rivasplata (_OR_.. @OmarRivasplata
755 Followers 205 Following SRF @Stats_UCL Incoming SL @csmcr @OfficialUoM Posts about AI / ML algorithms, maths & stats. Deep Thinker. Posts might be trivial thoughts. Carpe Espresso ☕️GothamChess @GothamChess
380K Followers 207 Following The Internet’s Chess Teacher | Business, Media: [email protected]Han Zhong @han_zhong1
107 Followers 225 Following PhD student at PKU. Working on machine learning, especially reinforcement learning theory.Juan @jeandut14000
191 Followers 376 Following Federated Learning researcher at Owkin, Opinions are my own.Stephane Chretien @GrdCrf
379 Followers 816 FollowingUtkarsh Gupta @Utkarsh_1496
99 Followers 940 Following Camera Systems Engineer @ Qualcomm R&D || Gold Medalist @ IISc Bangalore (Data Science) || Computer Vision EnthusiastYi Su @YiSu37328759
382 Followers 618 Following Researcher @GoogleDeepmind. Phd from @Cornell. Working on contextual bandits, reinforcement learning and their applications in user interactive systems.Desirée Ruhstrat @ViolinDes
204 Followers 862 Following violinist, picture taker, travel and food lover https://t.co/8Z7PmiPUGv https://t.co/x2vBrp3Ct2. https://t.co/8fTxV42IEnElan Rosenfeld @ElanRosenfeld
1K Followers 184 Following Final year ML PhD Student at CMU working on principled approaches to robustness, security, generalization, and representation learning.The simplest possible optimal PAC learner? New arXiv preprint: arxiv.org/abs/2403.08831
My group at Berkeley Stats and EECS has a postdoc opening in the theoretical (e.g., scaling laws, watermark) and empirical aspects (e.g., efficiency, safety, alignment) of LLMs or diffusion models. Send me an email with your CV if interested!
A glowing review of my book (@mitpress) from one of my science communication heroes! (I went to one of @stevenstrogatz 's book events on the notion of infinity and he encouraged me to write a book, and I did!)
I’ve just started reading this book, and it’s fantastic! Super informative and funny. I don’t know the author, Michael Littman, personally, but it’s obvious from every page that he is a marvelous teacher. HIGHLY Recommended!
GD with LARGE stepsize induces an oscillatory loss that may sound scary, but the oscillation eventually accelerates optimization, provably Core proof in <= 5 pages, which made me very proud of :) New paper w/ Peter Bartlett, Matus Telgarsky, Bin Yu arxiv.org/abs/2402.15926
==== My recommendations today ==== Large Stepsize Gradient Descent for Logistic Loss: Non-Monotonicity of the Loss Improves Optimization Efficiency arxiv.org/abs/2402.15926 (1/2)
Thanks to everyone who submitted to STOC '24, and to the fantastic PC for their hard work. The list of accepted papers is now out: acm-stoc.org/stoc2024/accep…
Bandit-Feedback Online Multiclass Classification: Variants and Tradeoffs. arxiv.org/abs/2402.07453
@sirbayes full paper: arxiv.org/pdf/2312.00209…
@sirbayes My current interpretation is that it's related to progressive sharpening. Methods that minimize the objective as fast as possible seem to end up in high curvature regions. For example, in Armijo line-search (red), sharpness blows up even in the deterministic regime
When drones get too close to wildlife..
A Chicago computer scientist has made the first substantial progress in 50 years on a fundamental question in algebra: how to recognize when two groups are the same. My latest for @CACMmag: cacm.acm.org/magazines/2024…
SoCG 2024 list of accepted papers... sarielhp.org/misc/blog/24/0…
David Byrne Radio Presents: "Who Needs Words?" Apple Streaming: apple.co/3w09ZOw Spotify Streaming: spoti.fi/3w2HEan
🧵 Today, we’re bringing more capabilities in Bard to more people, including Gemini Pro in Bard to over 40 languages ↓ goo.gle/4bipGkm
Geometry fun q: You are given a disk D in the plane. What is the minimal size of a set of points P, such that any disk E, as large as D, that intersects D must contain a point of P?