#manifold — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #manifold, aggregated by home.social.
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Sleep Lays Bare the Brain's Hidden Geometry: How V1 Organizes Vision and Movement
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Sleep Lays Bare the Brain's Hidden Geometry: How V1 Organizes Vision and Movement
Our best stories, delivered daily. Follow us.
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🧠 How does the #hippocampus keep a spatial map stable while adding aversive context?
Miguel-López et al. show that in mice running on a linear belt, #CA3 #axonal population activity preserved a common spatial #manifold across baseline, air puff and probe sessions. The aversive cue did not erase the map, but deformed it, embedding affective information into the same #representational geometry:
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🧠 How does the #hippocampus keep a spatial map stable while adding aversive context?
Miguel-López et al. show that in mice running on a linear belt, #CA3 #axonal population activity preserved a common spatial #manifold across baseline, air puff and probe sessions. The aversive cue did not erase the map, but deformed it, embedding affective information into the same #representational geometry:
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Our work “Forward–backward splitting in bilaterally bounded Alexandrov spaces” with Heikki von Koch, has been stamped by COAP.
⬇️
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#KYIV #INSTITUTE OF #BUSINESS #AND #TECHNOLOGY advanced-search.allgraph.ro/advanced-sea... #SYMPLECTIC #MANIFOLD multi-search-tag-explorer.headlines-world.com/advanced-sea... Semantic CLUSTERS: The Bridge between Humans and Artificial Intelligence. NOSTR.com - Snort: snort.social/nprofile1qqs...
MultiSearch Tag Explorer -
🧠 New preprint by Garcia-Garcia et al.: The authors show that cerebellar #GranuleCells do not simply expand #cortical activity into a high-dimensional code. Instead, they preserve low-dimensional cortical #manifold geometry while reorienting it across contexts. This rotation separates similar tasks, reduces interference, and supports flexible dual-task learning.
📄 https://www.biorxiv.org/content/10.64898/2026.03.03.709240v1.full.pdf
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🧠 New preprint by Garcia-Garcia et al.: The authors show that cerebellar #GranuleCells do not simply expand #cortical activity into a high-dimensional code. Instead, they preserve low-dimensional cortical #manifold geometry while reorienting it across contexts. This rotation separates similar tasks, reduces interference, and supports flexible dual-task learning.
📄 https://www.biorxiv.org/content/10.64898/2026.03.03.709240v1.full.pdf
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[ Lumo Kaŭstikaĵo ]
Matematika diferenciala geometrio priskribanta la ebenan koverton de kurboj spuritaj de radioj disvastiĝantaj tra manifoldo. 🤓 #nerd
~briletanta~
\eZ
#miksang #dailypic #aphotoaday
#Esperanto #photography #photo
#physics #optics #mathematics #maths
#caustics #differentialgeometry
#manifold #manifolds
#shimmering -
[ Lumo Kaŭstikaĵo ]
Matematika diferenciala geometrio priskribanta la ebenan koverton de kurboj spuritaj de radioj disvastiĝantaj tra manifoldo. 🤓 #nerd
~briletanta~
\eZ
#miksang #dailypic #aphotoaday
#Esperanto #photography #photo
#physics #optics #mathematics #maths
#caustics #differentialgeometry
#manifold #manifolds
#shimmering -
“Fakat diğer tüm postmodern yaklaşımlardan farklı olarak Pärt, yapısökümü materyale değil, besteleme tekniğine uygular.” —Burak Öztürk’ten Arvo Pärt’in müziği üstüne kapsamlı bir metin ve bir playlist:
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For over five years the battery charger for our electric bicycle has been awkwardly dangling from a little hook.
With emotional support from toddler and actual support from #FreeCAD I finally created a simple wall bracket.
It's available from .stl sharing site #manifold :-)
Inner dimensions are 73mm by 42,5mm. With a hole in the bottom for a cable exit. Probably fits other chargers as well.
SHC-8100LC #Promovec #Christiania electric #bicycle #charger
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For over five years the battery charger for our electric bicycle has been awkwardly dangling from a little hook.
With emotional support from toddler and actual support from #FreeCAD I finally created a simple wall bracket.
It's available from .stl sharing site #manifold :-)
Inner dimensions are 73mm by 42,5mm. With a hole in the bottom for a cable exit. Probably fits other chargers as well.
SHC-8100LC #Promovec #Christiania electric #bicycle #charger
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“‘Divin Chauve’ bir dönem kahramandı, bir dönem de günah keçisi, kimi zaman ilahi bir reflekse sahipti, kimi zaman da açıklaması zor bir deliliğe.”
—Çağdaş Çakman’dan: -
Bu ay “This Person Does Not Exist” projesinin “Rastgele Yüz Jeneratörü”yle ürettiğimiz yüz fotoğraflarını kadrajladık:
https://manifold.press/kadraj-bu-kisi-hic-var-olmadi -
“Enigma’nın hikâyesi kompleks ama sakin bir iç dünyanın ani ve dışsal bir gerçeklik sarsıntısı yaşamasıyla başlar.” —Sarp Sözdinler’den Peter Milligan’ın Enigma adlı kült çizgi romanı üzerine:
https://manifold.press/peter-milligan-in-enigma-si-kahraman-mi-kurban-mi
#SarpSözdinler #manifold #ManifoldPress -
There's a great talk by Juan Gallego on how low-dimensional #NeuralManifolds arise from biological constraints, remain invariant across states and inputs, and support cross-animal alignment. Examples span #HeadDirection rings, #gridcell tori, #MotorCortex prep vs movement, striatal timing dynamics, and C. elegans #behavior loops. Cool talk as it shows how #manifold-level structure can generalize across tasks and organisms.
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Wax Podcast’in yeni bölümünde Berk Özalp ve Hasan Cem Çal, Justin Lin’in 2006 yapımı kültleşmiş filmi The Fast and the Furious: Tokyo Drift üzerine konuşuyor. Filmi hem Fast & Furious serisiyle bağlantısında hem de kendi içinde değerlendiriyor.
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Starts reading 'A contribution to Manifold theory' by Georg Cantor. To learn what he thinks about Dimensions and manifolds. But I don't know German. I am #struggling with it.
Do you have any ideas for making this exploration easy?#german #manifold #cantor #mathematics #articles #Germanmathematics #science #analysis #geometry #help #suggestions
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“Head, dönemin başlıca politik ve kültürel imgelerinin derlenmesiyle ortaya çıkan bir kolajdır.” —Murat Can Kabagöz’den Bob Rafelson’ın 1968 yapımı kült filmi Head üzerine:
https://manifold.press/bob-rafelson-in-yeni-hollywood-a-girisi-head
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Bu ay Handan Akyürek’in işlerini kadrajladık:
https://manifold.press/kadraj-handan-akyurek-hatiralar
#manifold #ManifoldPress #Kadraj -
🧠 New paper by Wimalasena, Pandarinath, AuYong et al: #spinal #interneuron populations form a low-dimensional #manifold that robustly organizes step cycles.
Distinct regions of the manifold mark flexion–extension transitions, and a specific “hold region” tightly controls cycle duration. Deletions emerge as failures to enter the flexor region, giving a dynamical signature of disrupted CPG function.
🌍 https://doi.org/10.1038/s41467-025-64629-y
#Neuroscience #Locomotion #SpinalCord #PopulationDynamics #CompNeuro
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@filemon__filemon Manifold, yes, I've found it some time ago but never started using it. AFAIK is #federated via #Activitypub, so I can follow creators on my #pleroma instance, but it's not clear to me if I can also publish designs from my instance or I must register to a #manifold instance... -
@filemon__filemon Manifold, yes, I've found it some time ago but never started using it. AFAIK is #federated via #Activitypub, so I can follow creators on my #pleroma instance, but it's not clear to me if I can also publish designs from my instance or I must register to a #manifold instance... -
🧠 New #preprint by Komi et al. (2025): Neural #manifolds that orchestrate walking and stopping. Using #Neuropixels recordings from the lumbar spinal cord of freely walking rats, they show that #locomotion arises from rotational #PopulationDynamics within a low-dimensional limit-cycle #manifold. When walking stops, the dynamics collapse into a postural manifold of stable fixed points, each encoding a distinct pose.
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-40% in a day 📉 Government shutdown lasts 45+ days (Nov. 14+)?
https://manifold.markets/HillaryClinton/government-shutdown-lasts-45-days-n?r=bWFya3R3c2U #prediction #Manifold -
-23% in a week 📉 What price will Bitcoin hit in 2025 $130,000
https://manifold.markets/predyx_markets/what-price-will-bitcoin-hit-in-2025?r=bWFya3R3c2U #prediction #Manifold -
+20% in a day 📈 Will Biden, Trump, Putin, or Xi die first? Biden
https://manifold.markets/AndrewG/will-biden-trump-outing-or-xi-die-f?r=bWFya3R3c2U #prediction #Manifold -
-23% in an hour 📉 Who will be the F1 World Champion (WDC) in 2025? Max Verstappen (Red Bull)
https://manifold.markets/SimonGrayson/who-will-be-the-f1-world-champion-w?r=bWFya3R3c2U #prediction #Manifold -
“If geometry is dressed in a suit coat, topology dons jeans and a T-shirt”*…
Paulina Rowińska on how, in the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics…
Standing in the middle of a field, we can easily forget that we live on a round planet. We’re so small in comparison to the Earth that from our point of view, it looks flat.
The world is full of such shapes — ones that look flat to an ant living on them, even though they might have a more complicated global structure. Mathematicians call these shapes manifolds. Introduced by Bernhard Riemann in the mid-19th century, manifolds transformed how mathematicians think about space. It was no longer just a physical setting for other mathematical objects, but rather an abstract, well-defined object worth studying in its own right.
This new perspective allowed mathematicians to rigorously explore higher-dimensional spaces — leading to the birth of modern topology, a field dedicated to the study of mathematical spaces like manifolds. Manifolds have also come to occupy a central role in fields such as geometry, dynamical systems, data analysis and physics.
Today, they give mathematicians a common vocabulary for solving all sorts of problems. They’re as fundamental to mathematics as the alphabet is to language. “If I know Cyrillic, do I know Russian?” said Fabrizio Bianchi, a mathematician at the University of Pisa in Italy. “No. But try to learn Russian without learning Cyrillic.”
So what are manifolds, and what kind of vocabulary do they provide?…
[Rowińska explains manifolds and the history of the development of our understanding of them, concentrating on the pivotal role of Riemann…]
… Manifolds are crucial to our understanding of the universe… In his general theory of relativity, Einstein described space-time as a four-dimensional manifold, and gravity as that manifold’s curvature. And the three-dimensional space we see around us is also a manifold — one that, as manifolds do, appears Euclidean to those of us living within it, even though we’re still trying to figure out its global shape.
Even in cases where manifolds don’t seem to be present, mathematicians and physicists try to rewrite their problems in the language of manifolds to make use of their helpful properties. “So much of physics comes down to understanding geometry,” said Jonathan Sorce, a theoretical physicist at Princeton University. “And often in surprising ways.”
Consider a double pendulum, which consists of one pendulum hanging from the end of another. Small changes in the double pendulum’s initial conditions lead it to carve out very different trajectories through space, making its behavior hard to predict and understand. But if you represent the configuration of the pendulum with just two angles (one describing the position of each of its arms), then the space of all possible configurations looks like a doughnut, or torus — a manifold. Each point on this torus represents one possible state of the pendulum; paths on the torus represent the trajectories the pendulum might follow through space. This allows researchers to translate their physical questions about the pendulum into geometric ones, making them more intuitive and easier to solve. This is also how they study the movements of fluids, robots, quantum particles and more.
Similarly, mathematicians often view the solutions to complicated algebraic equations as a manifold to better understand their properties. And they analyze high-dimensional datasets — such as those recording the activity of thousands of neurons in the brain — by looking at how those data points might sit on a lower-dimensional manifold.
Asking how scientists use manifolds is akin to asking how they use numbers, Sorce said. “They are at the foundation of everything.”…
“What Is a Manifold?” from @quantamagazine.bsky.social.
Apposite: Rowińska in conversation with Ira Flatow on Science Friday: “How Math Helps Us Map The World.”
* David S. Richeson, Euler’s Gem: The Polyhedron Formula and the Birth of Topology (Riemann’s work was an advance on the foundation that Euler laid in his 1736 paper on the Seven Bridges of Königsberg, which led to his polyhedron formula)
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As we get down with geometry, we might spare a thought for John Wallis; he died on this date in 1703. A clergyman and mathematician, he served as chief cryptographer for Parliament (decoding Royalist messages during the Civil War) and, later (as Savilian Chair of geometry at Oxford after the hostilities), for the the royal court. Wallis is credited with introducing the symbol ∞ to represent the concept of infinity, and used 1/∞ for an infinitesimal… which earned him (along with his contemporaries Isaac Newton and Gottfried Wilhelm Leibniz) a share of the credit for the development of infinitesimal calculus. He was a founding member of the Royal Society and one of its first Fellows.
#BernhardRiemann #calculus #cryptography #culture #Euler #geometry #history #JohnWallis #LeonhardEuler #manifold #manifolds #maps #Mathematics #Physics #Reimann #RoyalSociety #Science #Technology
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+38% in an hour 📈 Who will be elected Mayor of Seattle in 2025? Katie Wilson
https://manifold.markets/HenryRodgers/who-will-be-elected-mayor-of-seattl?r=bWFya3R3c2U #prediction #Manifold -
+24% in a week 📈 When will Google release Gemini 3? Before December 2025
https://manifold.markets/Bayesian/when-will-google-release-gemini-3?r=bWFya3R3c2U #prediction #Manifold -
-43% in a week 📉 Formula 1 2025 Prop Bets Brazil (Interlagos, São Paulo) Grand Prix [LIVE, Add answers] [BRA] Wet or intermediate tyres used in the main race
https://manifold.markets/BlitzEver/formula-1-japan-suzuka-gp-2025-prop?r=bWFya3R3c2U #prediction #Manifold -
-31% in a week 📉 Military conflict between the US and Venezuela in 2025?
https://manifold.markets/AlexanderTheGreater/military-conflict-between-the-us-an?r=bWFya3R3c2U #prediction #Manifold -
+26% in a day 📈 Supreme Court upholds unconstitutionality of broad tariffs?
https://manifold.markets/Balasar/supreme-court-upholds-unconstitutio?r=bWFya3R3c2U #prediction #Manifold -
+37% in a day 📈 NYC Mayoral Election Prop Bets Mamdani wins 50.49%+ of the vote
https://manifold.markets/realDonaldTrump/nyc-mayoral-election-prop-bets?r=bWFya3R3c2U #prediction #Manifold -
📚 New article by Esparza et al. and @LMPrida : Cell-type-specific #manifold analysis discloses independent parallel #SpatialMaps in #hippocampal #CA1. Using #miniscope imaging, they show deep and superficial CA1 #PyramidalNeurons encode position and running direction via distinct ring manifolds, manipulable via #chemogenetics. Fascinating for revealing parallel, cell-type–specific spatial topologies 👌
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This year at #CCN2025 we will be showcasing our research on the classification of Mental Workload 🥵 Spatial Effects using Riemannian Manifold.
📅 When: Wednesday, August 13, 1:00 – 4:00 pm
📍 Where: CCN 2025 Conference Venue, de Brug & E-Hall
📋 What: Poster B152- It leverages advanced mathematical techniques to better understand and classify mental workloads, offering new insights into cognitive processes and potential applications in various fields such as neuroscience, psychology, and human-computer interaction.
- By utilizing Riemannian geometry, this research provides a robust framework for analyzing spatial effects in mental workload, paving the way for more accurate and efficient classification methods. This contribution not only advances our theoretical understanding but also has practical implications for improving mental workload assessment and management.
See you there! 🚀
https://laurentperrinet.github.io/publication/choplin-25-ccn/
👏 CNRS @cnrs - Aix-Marseille University - ONERA, The French Aerospace Lab CNRS
#CCN2025 #Mental #Workload #MentalWorkload #Riemannian #Manifold
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“Wenders’in Nicholas Ray dışındaki bir diğer (hatta en büyük) idolü Yasujirô Ozu’dur.” —Süheyla Tolunay İşlek’ten Wim Wenders’in idolleri, olgunlaşan estetik dili ve sinema üzerine çektiği belgeseller üzerine:
https://manifold.press/idoller-olgunlasan-estetik-dil-ve-alinan-ilk-teklifler
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🧠✨ Just published – “The dynamics and geometry of choice in the premotor #cortex” by Genkin et al. shows how the #brain encodes #decisions. Using single-trial #NeuralRecordings, they model #decisionmaking as 1D trajectories on a high-dimensional #manifold.
Key findings:
👉 Diverse tuning curves reflect one latent decision variable
👉 Dynamics follow an attractor
👉 Geometry links sensory & cognitive coding✍️ https://www.nature.com/articles/s41586-025-09199-1
💻 https://github.com/engellab/neuralflow -
“Bir imgenin varlığı ile yokluğu arasındaki geçişlilik kısa filmi değil hiper-kısa filmi tanımlar: Filmden yansıyan hareketli imgeler değil film makinesinin anlık hareketi olduğunda hiper-kısa filmden söz ediyoruz.” —Hasan Cem Çal’dan:
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'Estimation of Local Geometric Structure on Manifolds from Noisy Data', by Yariv Aizenbud, Barak Sober.
http://jmlr.org/papers/v26/25-0183.html
#manifold #manifolds #submanifold -
'Manifold Fitting under Unbounded Noise', by Zhigang Yao, Yuqing Xia.
http://jmlr.org/papers/v26/21-0039.html
#manifold #smoothness #estimation -
“Güney’in sineması bir anlatılar bütünü olarak değil bellek, imge ve duyguların ortak üretimi olarak ele alınmalıdır. Onun filmleri belirli bir dönemin tarihsel tanıklığından çok daha fazlasıdır.” —Deniz Baha Çayırlı’dan Yılmaz Güney’in sineması üzerine:
https://manifold.press/halkci-bir-sinema-yilmaz-guney-in-sinemasi
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#Godot #CSharp #Subdivision #Manifold #ScreenshotLastThursdayAfternoon
Building the SDS (SubDivisionSurface) from optionally hollow cylindrical sections is working out really well
Could you imagine playing a "not-really-tower-defence" on the inner/outer surface of this?
Need-to-add: pretty much everything, sharp edges, branching...
Please-excuse: lighting, grid positioned by hand in only approximately the right place...
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'Sliced-Wasserstein Distances and Flows on Cartan-Hadamard Manifolds', by Clément Bonet, Lucas Drumetz, Nicolas Courty.
http://jmlr.org/papers/v26/24-0359.html
#manifolds #manifold #wasserstein -
Berk Özalp ve Hasan Cem Çal tarafından hazırlanan Wax Podcast’in yeni bölümünde konu, Olivier Assayas’ın 2007 yapımı filmi Boarding Gate. Assayas’ın 2002 yapımı Demonlover’ıyla birlikte 2000’lerde çekmiş olduğu en derinlikli ve politik filmlerden biri.
https://manifold.press/boarding-gate
#manifold #ManifoldPress #wax #podcast #film #BerkÖzalp #HasanCemÇal
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The Avalanches tarafından örneklenen ve altı çocuğun oluşturduğu Six Boys In Trouble üzerine Karaca Yiğit Pehlivanlı’dan:
https://manifold.press/six-boys-in-trouble -
“Bir filmin tapınsal olması için hem mutlak hem de göreceli zamanın içinde hareket edebiliyor olması lazım.” —“Yort Savul” dizisinin yeni metni Nathaniel Dorsky’den, filmin zamansallığı üzerine:
