#manifold — Public Fediverse posts

Как модели упаковывают концепты в многообразия: смотрим на теорию, рушим идеальный мир и ищем кружочки

Mechanistic claims в interpretability для бедных, но бравых. Шучу, конечно. Просто когда дело дошло до задачи "придумать название" — вспомнила шутки моей коллеги. В одном из приближений можно сказать, что AI-модели обрабатывают входы послойно. На каждом слое модель выдаёт вектор , который можно читать как точку, центроид, область и так далее. Все эти точки, центроиды, области, направления кажутся абстракциями, но как только мы структурируем их — мы видим тонну прекрасного. Например, мы можем геометрически понимать и находить концепты , упакованные в многообразия . Что называется концептом, а что многообразием? Какие структуры образуют циклические компоненты и как откопать это в модели? Почему теория существует и находится эмпирически, но пока не машстабируется? На эти вопросы мы и покопаем ответы в данной статье.

https://habr.com/ru/articles/1063222/

#explainable_ai #manifold #mathematics #mechanistic_interpretability

Sleep Lays Bare the Brain's Hidden Geometry: How V1 Organizes Vision and Movement

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https://1ban.news/v1-sleep-manifold-dynamics/

#1ban #sleep #manifold #dynamics #neuroscience

#Manifold

@level98

🧠 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:

🌍 https://doi.org/10.1073/pnas.2517639123

#Neuroscience #CompNeuro

🧠 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

#Neuroscience #NeuralDynamics #CompNeuro

[ 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

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

https://3dprint.social/models/kqsmd6dkr0wv

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.

🌍 https://www.youtube.com/watch?v=oxQyKByqDSU

#CompNeuro #Neuroscience #PopulationDynamics

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

🧠 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

🧠 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.

🌍 https://doi.org/10.1101/2025.11.08.687367

#CompNeuro #NeuralDynamics #Attractor #Neuroscience

📚 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 👌

🌍 https://doi.org/10.1016/j.neuron.2025.01.022

#Neuroscience #CompNeuro

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

“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

#manifold #film #ManifoldPress

🧠✨ 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

#Neuroscience #CompNeuro

“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:

https://manifold.press/hiper-kisa-film-uzerine-tezler

#manifold #ManifoldPress #film #HasanCemÇal

sabbia

#photography #monochrome #abstract #geometry #manifold

'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

#manifold #ManifoldPress #YılmazGüney #DenizBahaÇayırlı

#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...

'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

The Avalanches tarafından örneklenen ve altı çocuğun oluşturduğu Six Boys In Trouble üzerine Karaca Yiğit Pehlivanlı’dan:
https://manifold.press/six-boys-in-trouble

#manifold #hiphop #ManifoldPress