Frank Nielsen @FrnkNlsn
Machine Learning & AI, Information Sciences & Information Geometry, Distances & Statistical models, HPC. "Geometry defines the architecture of spaces" @SonyCSL franknielsen.github.io/index.html Tokyo 東京 Joined February 2010-
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Selected books on optimal transport and its geometry: Wasserstein distances, Kantorovich-Rubinstein duality, Sinkhorn divergence, etc Applications in machine learning, AI, economics and finance
Some selected books on Algebraic Statistics, a field which considers computational algebra, algebraic geometry, and combinatorics among others to tackle problems in statistics.
Merci!
Mathematics, physics: the endless landscape. "Taxonomy of Principal Distances and Divergences" — ranging from Euclidean Geometry (upper left) to Quantum and Matrix Geometry (lower right). By Frank Nielsen, @FrnkNlsn, franknielsen.github.io/Divergence/ind…, Used with permission.
Forthcoming event for French-speaking attendees: Entropy and divergences: modeling, statistics, and algorithms, 14-17 mai 2024 Caen, France edmsa.sciencesconf.org/resource/page/… Present recent results: Fisher-Rao, max invariants, duo Bregman franknielsen.github.io/npublications.… franknielsen.github.io/Divergence/ind…
① Densities of an exponential family with fixed support truncation form another exponential family ② Kullback-Leibler divergence between truncated densities of an exponential family is a duo Bregman divergence when finite: Duo: generators F1≥F2 👉mdpi.com/1099-4300/24/3…
Upper bound differential entropy of any random variable X by differential entropy of *any exponential family* for the moment parameter η=E_X[t(x)] where t(x) is the sufficient statistics of the exponential family {p_θ}: H(X) ≤ H(p_θ)=-F^*(E_X[t(x)]) 👉arxiv.org/abs/1612.02954
A moduli space is a set of isomorphism classes turned into a topological space using a notion of closeness between equivalence classes. Nice blog by John Baez on the moduli space of acute triangles. Acute triangles are encoded in the upper space. golem.ph.utexas.edu/category/2023/…
User-friendly Introduction to PAC-Bayes Bounds by @PierreAlquier nowpublishers.com/article/Detail… arxiv.org/abs/2110.11216 Book added to my curated list of books! franknielsen.github.io/Books/CuratedB…
Great work collection!
Today's two cents while programming... Optimizing is easier task than knowing what to optimize!
ALT
Lattice Gaussian/normal distributions are discrete distributions with sample spaces lattices. Lattice Gaussians maximize entropy, form an exponential family with cumulant function related to Riemann theta function. 👉 Web page with paper+slides+video: franknielsen.github.io/LatticeGaussia…
What are powerful words used implicitly in mathematics? For example, imho, "identify" allows to cast spaces to other spaces using common sense.
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David Pfau @pfau
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Taco Cohen @TacoCohen
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Masoud Faghihi @Ma_Faghihi
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Anderson Yamada @AndersonYamada3
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TJ @latent_musings
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o potis tou tromou @opotistoutromou
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Nicolas Couture-Greni.. @autapse777
90 Followers 2K Following ~8e-9 of humanity. fr/en-CA. Computers. Maths. Music. Atheist. Ternary logic will save the world.
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267 Followers 351 Following Philosophy | Poetry | Politics | Pro-humanity🕊️ (*_*) Retweets and likes are not endorsements.
KhaledMahmoud - 🇲�.. @Khaled110125
7 Followers 224 Following Master Student in CS, looking for backend dev role Que viva México tres veces تحيا المكسيك 3 مرات
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139 Followers 4K Following Reader; I share items that interest me in AI, Skills / Talent, Healthcare, Investments and Chess.
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Freshman🇨🇳 @fresh_man_2020_
41 Followers 231 Following 东风浩荡🇨🇳 学生，坚定的爱国者，旗帜鲜明地反对一切分裂势力。对发布仇恨以及歧视言论者我也不会客气。
Syed Obaid 🇵🇸�.. @SyedObaid_ai
47 Followers 724 Following Machine Learning || Deep Learning || Figuring out my version of Success || Besides gravity nothing pulls me down - Alhamdulillah ❤️
Suresh Keerthi @SureshK51146910
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andrelucas @aaandrelucas
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1individualista @geneconservador
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Carl Grafe @CarlGrafe
930 Followers 1K Following Data analyst / consultant / problem solver @byuidaho | informatics PhD | epidemiology MS | sims | machine learning | math.
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92K Followers 449 Following @CNRS researcher at @ENS_ULM. One tweet a day on computational mathematics.
Peyman Milanfar @docmilanfar
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Yi Ma @YiMaTweets
71K Followers 123 Following Chair Professor in AI, Director of IDS, Head of CS, HKU; Professor of EECS, Berkeley; Author of Book: High-Dim Data Analysis, https://t.co/gwaqMJp8av.
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Alfredo Canziani @alfcnz
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Michael Bronstein @mmbronstein
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Jürgen Schmidhuber @SchmidhuberAI
107K Followers 0 Following Invented principles of meta-learning (1987), GANs (1990), Transformers (1991), very deep learning (1991), etc. Our AI is used many billions of times every day.
Sam Power @sp_monte_carlo
17K Followers 7K Following Lecturer in Maths & Stats at Bristol. Interested in probabilistic + numerical computation, statistical modelling + inference. (he / him)
Mathematics & Statist.. @StA_Maths_Stats
27K Followers 172 Following School of Mathematics and Statistics, University of St Andrews, Scotland's First University; 'αἰὲν ἀριστεύειν'- Ever to Excel MacTutor History of Maths
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48K Followers 197 Following #CS Associate Prof @YorkUniversity, #ComputerVision Scientist Samsung #AI, @VectorInst Faculty Affiliate, TPAMI AE, #CVPR2024/#ECCV2024 Publicity Co-chair
Steven Brunton @eigensteve
45K Followers 1K Following Teaches math to engineers: https://t.co/TJ5i3Pg678 Professor @UW researching #MachineLearning for #Dynamics and #Control, especially for #FluidDynamics.
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Stat.ML Papers @StatMLPapers
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Petar Veličković @PetarV_93
30K Followers 555 Following Staff Research Scientist @GoogleDeepMind | Affiliated Lecturer @Cambridge_Uni | Associate @clarehall_cam | GDL Scholar @ELLISforEurope. Monoids. 🇷🇸🇲🇪🇧🇦
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2K Followers 626 Following Assistant Professor - University of Amsterdam | Hyperbolic deep learning
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770 Followers 165 Following Editor-in-Chief, @QuantaMagazine, Formerly @atlasobscura; Alum and Prof, @columbiajourn
Omar 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 ☕️
Thomas Lin @7homaslin
10K Followers 1K Following Quanta Books; @QuantaMagazine founder / 1st EIC; former @nytimes, @ScienceWriting; books: (science) https://t.co/ZHAR1Pn4Bi + (math) https://t.co/5WSMip02t1
Mathemaniac @mathemaniacyt
2K Followers 112 Following For any business enquiries, please go to my YouTube channel about page (on PC) for the contact email. I will NOT consider any of these enquiries over DMs.
Emin Yurumazu (エミ.. @yurumazu
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274 Followers 56 Following A new hub for artificial intelligence, shaping a future where AI works for everyone through cutting-edge research, education, and industrial collaborations.
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824 Followers 2K Following PhD student at @AmlabUva with @erikjbekkers & @jmtomczak | everything Geometric + Generative models | MS CS @UUtah | Theoretical Physics @IISERPune | she/her
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543 Followers 733 Following computer science prof, dept chair @TempleU, director of @STARSComputing, member of @CS4Philly, diversity, equity, & inclusion in computing
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561 Followers 131 Following Research Scientist at Facebook AI Research. Interested in Machine Learning and Computer Vision.
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31K Followers 2K Following Chief Llama Officer @huggingface 🦙 Founder @AI_Learners. Xoogler (SWE @Google Assistant, 20% PM TF Graphics). 100% Hacker Llama🇵🇪🇲🇽
R. Morelos-Zaragoza @rhmza
246 Followers 610 Following Life is a trip: Colegio Simon Bolivar - Sec. No.62 - CCH Sur - UNAM - U. Hawaii - ITESM - Osaka U. - Nara Inst. Sci. Tech. - U. Tokyo - LSI Logic - Sony - SJSU
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19K Followers 0 Following We are a Tokyo-based R&D company on a quest to create a new kind of foundational AI model based on nature-inspired intelligence. https://t.co/1q07mb3TzE
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7K Followers 2K Following Partner @Lux_Capital investing in the future 🚀 | board @ecorner (STVP) previously @canvasvc @stanfordwib @joinhandshake @stanford
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1K Followers 271 Following Deep learning, dance, and a dash of geometry. Dabbling in sports @ZelusAnalytics. PhD student @Geometric_Intel @UCSBPhysics Previously @McGillUPhysics
Ben Grimmer @prof_grimmer
3K Followers 434 Following Assistant Professor @JohnsHopkinsAMS, Optimization, PhD @CornellORIE Mostly here to share pretty maths/3D prints, sometimes sharing my research
Hans Riess @hansmriess
1K Followers 3K Following postdoc @DukeEngineering ∙ Ph.D. @PennEngineers ∙ ML, multiagent, order theory, applied topology, sometimes economics ∙ laplacian .eth/.tez
Lorenzo Giusti @lorgiusti
686 Followers 264 Following Geometric and Topological Deep Learning for particle physics @cern
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1K Followers 512 Following I'm a PhD student in (topological) persistence theory and topological machine learning at Universitat de Barcelona.
Ginestra Bianconi @gin_bianconi
4K Followers 198 Following Mathematical physicists working on networks, statistical mechanics, topology, non-linear dynamics. Author of "Multilayer networks: Structure and Function" (OUP)
Anna Fontcuberta i Mo.. @i_morral
2K Followers 485 Following Prof. @Materials_EPFL and Physics. President-elect of @EPFL, starting 01.01.2025 This is my personal account.
AnneBouverot @AnneBouverot
3K Followers 433 Following Co-founder @FondationAbeona #AI & Society , chairperson @CellnexTelecom and @ENS_ULM
AI Japan R&D Network @AIJapanRDNetwo1
153 Followers 39 Following Established to stimulate AI R&D in Japan and worldwide through providing integrated information on AI R&D activities and opportunities for cooperation on AI R&D
Martin Bauer @martinmbauer
65K Followers 1K Following Working on particle physics, quantum sensors, dark matter. Associate Prof at @IPPP_Durham @durham_uni, FLF @UKRI_News, Science board member @STFC_Matters
Fondation Bettencourt.. @Fondation_BS
2K Followers 383 Following Fondation familiale reconnue d’utilité publique depuis 1987. Sciences de la vie, Arts, Solidarité. #TalentsFondationBettencourt
Tom Rainforth @tom_rainforth
5K Followers 304 Following Senior research fellow (faculty) in machine learning at the University of Oxford, Head of RainML Research Lab (https://t.co/uuBwQ2WdMN)
Peter Wang 🦋 @pwang
48K Followers 2K Following Chief AI & Co-founder @AnacondaInc; invented @pyscript_dev, @PyData @Bokeh @Datashader. Former physicist. A student of the human condition. bsky: @wang.social
Sholto Douglas @_sholtodouglas
15K Followers 857 Following Scaling Gemini @Deepmind - working towards intelligence too cheap to meter
The Royal Swedish Aca.. @ScienceAcad_swe
7K Followers 498 Following By the terms of Alfred Nobel’s will the Academy awards the Nobel Prizes in Physics and Chemistry. The Academy also awards The Prize in Economic Sciences.
HKU Institute of Data.. @hkudatascience
283 Followers 84 Following Official Twitter of the HKU Musketeers Foundation Institute of Data Science
Melanie Mitchell @MelMitchell1
44K Followers 656 Following Professor, Santa Fe Institute. More thoughts at https://t.co/nC43NHRozX.
clem 🤗 @ClementDelangue
91K Followers 5K Following Co-founder & CEO @HuggingFace 🤗, the open and collaborative platform for AI builders
Mary Elizabeth @meharpist
3K Followers 1K Following I’m a harpist and scientist, working as an editor for @nature when I’m not making music, biking or skiing. All views are my own.
Conference on Parsimo.. @CPALconf
702 Followers 1K Following CPAL is a new annual research conference focused on the parsimonious, low dimensional structures that prevail in ML, signal processing, optimization, and beyond
Anjali Sharma @anjali_physics
411 Followers 108 Following Associate Editor @NatureComms #softMatter #softRobotics Former postdoc @TheRogersLab @BrandeisU Former Ph.D. @uni_lu @ESMP_unilu #Liquidcrystals
Eduardo Nascimento @e_s_nascimento
30 Followers 171 Following
Walter Isaacson @WalterIsaacson
307K Followers 866 Following Author of Elon Musk, The Code Breaker, Leonardo da Vinci, Benjamin Franklin, Einstein, Steve Jobs. Professor @Tulane. Formerly @Time, @CNN, & @Aspeninstitute
Manfred K. Warmuth @manfred_warmuth
80 Followers 2 Following Machine Learning researcher w. lots of hobbies: fermentation, gardening,... Still trying to save the world, but the world is not cooperating
Timothee Lacroix @tlacroix6
4K Followers 7 Following PhD student at Facebook AI Research Paris. Interested in link prediction in various settings and at various scales.
Ifigeneia Apostolopou.. @ifaposto
273 Followers 139 Following
Demi Guo @demi_guo_
22K Followers 693 Following Co-founder & CEO @pika_labs | ex @StanfordAILab @HarvardHaving a lot fun with this book describing some of the great #experiences of science, eg. test of general relativity, measuring the Earth's size, DNA, cloning, observing microbes, speed of light, neutrinos,... When at school, I wish I was taught #physics this way!
First 3 chapters of the book in pdf: bayes.wustl.edu/etj/prob/book.…
Can you assign a size to every object? Surprisingly: no trib.al/Qy5aOnw
@geogristle @FrnkNlsn I came across it when looking for Sturmfels' writing on the Grassmannian-Cayley algebra, and learned a bit about mixture models and phylogenetic statistics.
@FrnkNlsn I had forgotten about that Sturmfels book. Thanks
That’s a wrap on the #NAS161 Research Briefings! Thank you to everyone who joined us in person & online to learn about the pioneering research our new #NASmembers are working on. Join us again tomorrow for the 2024 NAS Awards Ceremony as we honor more contributions to science!
Evaluating MCMC samplers statmodeling.stat.columbia.edu/2024/04/27/eva…
Merci!
Achat du jour. Superbe ouvrage de @FrnkNlsn , dont je comprends pas qu'il ne soit pas plus connu.
Calabi-Yau manifolds, 6D shapes that are crucial to string theory, were named after the late Eugenio Calabi (right), who proposed the shapes in the 1950s, and Shing-Tung Yau, who in the 1970s set out to prove Calabi wrong but ended up doing the opposite. quantamagazine.org/ai-starts-to-s…
Achat du jour. Superbe ouvrage de @FrnkNlsn , dont je comprends pas qu'il ne soit pas plus connu.
To make sense of four-dimensional spaces, mathematicians study surfaces embedded within them. A recent paper shows that these surfaces can be a lot more complicated than they seem. quantamagazine.org/mathematicians…
📢Our April issue is now live, and it includes a Comment on taking inspiration from epidemic modeling to improve wildfire resilience, and a Resource for high-resolution simulation of large biological tissues, among other exciting manuscripts! Check it out! nature.com/natcomputsci/v…
Great book! Biography of Henri Poincar\'e, mathematician and theoretical physicist, who was nominated for Nobel prize. Famous works cover non-Euclidean geometry chaos (3-body problem ), algebraic topology (fundamental group+homology), special relativity (Lorentz group) 1/2
Mathematics, physics: the endless landscape. "Taxonomy of Principal Distances and Divergences" — ranging from Euclidean Geometry (upper left) to Quantum and Matrix Geometry (lower right). By Frank Nielsen, @FrnkNlsn, franknielsen.github.io/Divergence/ind…, Used with permission.
@gdb @nvidia So appreciative of Jensen’s contribution to #AI! This was when he delivered the world’s first @nvidia DGX-1 to our lab @StanfordSVL back in 2016! 😍
@nvidia CEO JensenHuang delivered the world's 1st AI supercomputer DGX-1 today to SAIL! @jcniebles @silviocinguetta
In our latest Editorial, we highlight - from the perspective of our editor @JPanPanJ - the vibrant discussions on quantum computing and quantum algorithms that took place at the 2024 @APSphysics March Meeting. nature.com/articles/s4358…
InfoNCE is variational inference in a recognition parameterised model Laurence Aitchison, Stoil Krasimirov Ganev. Action editor: Jinwoo Shin. openreview.net/forum?id=chbRs… #supervised #prior #likelihood
For some reason, doing what the calendar tells me, "showing up for my booking" works for me. I see @pnbeymer booked me for two hours to look at our R&R, I just do it. It outsources the prioritization and takes the pressure off of me to get back to them by a certain time. 8/
Double Descent and Overfitting under Noisy Inputs and Distribution Shift for Linear Denoisers Chinmaya Kausik, Kashvi Srivastava, Rishi Sonthalia. Action editor: Pierre Alquier. openreview.net/forum?id=HxfqT… #denoising #supervised #empirical
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