Scale won't solve AGI - Vishal Misra

#manifolds #AGI #scaling

Original timestamp: 00:37:12

💻 GitHub: github.com/geometric-ke...
📄 JMLR Paper: www.jmlr.org/papers/v26/2...

#MachineLearning #GeometricDeepLearning #GaussianProcesses #Kernels #Graphs #Manifolds #JMLR #OpenSource

Awesome work by @matteoguardamagna.bsky.social et al: The geometry of the #gridcell system seems to come online before #behavior does. Toroidal #manifolds in #rat #MEC appear at P10, align progressively with real space only after pups begin to explore. Strong case for preconfigured spatial circuits!

Nonlinear reconciliation: Error reduction theorems

Lorenzo Nespoli, Anubhab Biswas, Roberto Rocchetta, Vasco Medici

Action editor: Samuel Vaiter

https://openreview.net/forum?id=dXRWuogm3J

#hypersurfaces #manifolds #curvature

Domestic Topology: When Ironing Gets Mathematical

Domestic Topology: When Ironing Gets Mathematical

#Math #Topology #Manifolds #Wordplay #Mathematics

sciencehumor.io/math-memes/domestic-topo...

String Theory Inspires a Brilliant, Baffling New Math Proof | Quanta Magazine Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major problem in algebraic geometry. Other mathematicians had their doubts. Now he says...

www.quantamagazine.org/string-theor... #stringtheory #algebraicgeometry #equation #manifolds #polynomials #proof #math #maths #iteachmath #MathSky

From sensory to perceptual manifolds: The twist of neural geometry The brain uses geometric twists to expand neural dimensionality, thus untangling perception from sensation.

Interesting results. Non-linear mixed selectivity #neurons supposedly twist manifolds to solve linearly inseparable problems
From #sensory to #perceptual #manifolds: The twist of #neural #geometry | Science Advances www.science.org/doi/10.1126/...

At #JuliaCOn2025 @ronnybergmann.net gave a talk about LieGroups.jl. That is now available online #julialang #manifolds #LieGroups

youtu.be/_L9u8r42oSQ?...

Overview: HN explored "What is a manifold?". Discussion covered textbook recommendations, historical context, applications in neural networks & physics (string theory, GR), and challenges in defining tensors. Accessibility of explanations was a key debate. #Manifolds 1/6

Average Differential Geometry Exercise

Average Differential Geometry Exercise

#Math #Differentialgeometry #Manifolds #Academicstruggle #Proofs

sciencehumor.io/math-memes/average-diffe...

New Study Advances Local Fréchet Curve Regression on Manifolds

A new paper introduces extrinsic and intrinsic local linear predictors for Fréchet regression on manifolds, applied to NASA's MAGSAT data to forecast Earth's magnetic field. Read more: getnews.me/new-study-advances-local... #frechetregression #manifolds

Supervised Multi-Dimensional Scaling Reveals LLM Feature Manifolds

Supervised Multi-Dimensional Scaling (SMDS) is an agnostic technique that projects labeled activations into low‑dim, exposing feature manifolds—e.g., temporal reasoning clusters across LLM sizes. getnews.me/supervised-multi-dimensi... #smmds #manifolds

Reversible Kalman Filter Enables Precise State Estimation on Manifolds

Reversible Kalman filter drops the small-velocity assumption, so noise alone limits precision; it beats manifold filters on synthetic data and underwater tests (Sept 2025). Read more: getnews.me/reversible-kalman-filter... #kalmanfilter #manifolds

Junior Professor Manuel Krannich, KIT

Junior Professor Manuel Krannich from #KITKarlsruhe receives an ERC Starting Grant #ERCStG: European Research Council @erc.europa.eu funds MaFC Project on #Manifolds and #FunctorCalculus that links multiple fields of #mathematics. www.kit.edu/kit/english/...

Computation of the Taut, the Veering and the Teichmüller Polynomials Landry, Minsky and Taylor (LMT) introduced two polynomial invariants of veering triangulations—the taut polynomial and the veering polynomial. Here, we consider a pair of taut polynomials associated to one veering triangulation, the upper and the lower one, and analogously the upper and lower veering polynomials. We prove that the upper and lower taut polynomials are equal. In contrast, the upper and lower veering polynomials of the same veering triangulation may differ by more than a unit. We give algorithms to compute all these invariants. LMT related the Teichmüller polynomial of a fibered face of the Thurston norm ball with the taut polynomial of the associated layered veering triangulation. We use this result to give an algorithm to compute the Teichmüller polynomial of any fibered face of the Thurston norm ball.

"Computation of the Taut, the Veering and the Teichmüller Polynomials" by Anna Parlak. #ExperimentalMath #Manifolds #MathSky

This clear plastic manifold isn’t just beautiful: it’s precision-engineered to perform and impress. ✨
Want to know how to design manifolds that catch the eye?

📘 Download our free design guide: buff.ly/RAgidPW

#Engineering #PlasticsMachining #Fluidics #DesignForManufacturing #Manifolds #LabDesign

This clear plastic manifold isn’t just pretty: it’s precision-engineered to perform and impress. ✨
Want to know how to design manifolds that look this good?

📘 Download our free design guide: buff.ly/RAgidPW

#Engineering #PlasticsMachining #Fluidics #DesignForManufacturing #Manifolds #LabDesign

A Theoretical Study of Neural Network Expressive Power via Manifold Topology

Jiachen Yao, Lingjie Yi, Mayank Goswami, Chao Chen

Action editor: Zhangyang Wang

https://openreview.net/forum?id=qRAjZuf48S

#manifolds #manifold #topological

Designing plastic manifolds? Don't overlook threaded ports. These small details can make or break sealing, longevity, and performance.
Check out our Design Guide for more tips: https://tinyurl.com/yuknkcja
#Plastics #EngineeringDesign #Fluidics #Manifolds #Manufacturing #ThreadedPorts

The newest version of Manopt.jl – 0.5.12 introduces a new algorithm: The gradient projection method. See
manoptjl.org/stable/solve...
as well as the arXiv preprint
arxiv.org/abs/2504.11815

#Manifolds #julialang #Manopt

MADS · Manopt.jl Documentation for Manopt.jl.

In the new version Manopt.jl v0.5.7 we introduce the

Mesh Adaptive Direct Reach (MADS) algorithm(s)
manoptjl.org/stable/solve...

mainly providing the LTMADS which @oddsen.bsky.social worked on in his masters thesis.

Thanks Sander!

#Manifolds #julialang #Manopt

PNAS Proceedings of the National Academy of Sciences (PNAS), a peer reviewed journal of the National Academy of Sciences (NAS) - an authoritative source of high-impact, original research that broadly spans...

Some people love to say that #manifolds and other abstractions aren’t real.

In the spirit of the season, I’d like to share this gem of a paper showing that firing rates aren’t real: www.pnas.org/doi/10.1073/...

Merry Christmas, everyone!

Redirecting

Happy to share that our paper "Neural manifolds in V1 change with top-down signals from V4 targeting the foveal region" is now published in Cell Reports🐒🧠⚡️🧪

If you like #neural data, #manifolds, #dimensionality I think you will like this one :)

doi.org/10.1016/j.ce...

days112.358 - Sagemath Wiki

Just scheduled: June 1 @ 18:00 UTC: @ninamiolane on Geomstats – a #Python package for differential #geometry in #statistics and machine learning.
Register today: Global Virtual @SageMath Days, June 1–3. https://wiki.sagemath.org/days112.358
#OpenSource #Mathematics #Manifolds

ReleaseTours/sage-9.4 - Sagemath Wiki

Upcoming in @SageMath 9.4: Improved terminal output for Sage #Manifolds using Unicode characters

sage: v.wedge(X.frame()[0]).display()
v∧∂/∂x = -x ∂/∂x∧∂/∂y

https://dir.lat/qjuIkm
#Python...

ReleaseTours/sage-9.4 - Sagemath Wiki

Upcoming in @SageMath 9.4:
Families and posets of manifold subsets
wiki.sagemath.org/ReleaseTours/sage-9.4
#Python #Manifolds #OpenSource

ReleaseTours/sage-9.4 - Sagemath Wiki

Upcoming in @SageMath 9.4:
Defining submanifolds and manifold subsets as pullbacks from polyhedra or other #SageMath sets
wiki.sagemath.org/ReleaseTours/sage-9.4
#Python #Manifolds #OpenSource

researchseminars.org - View talk Welcome to researchseminars.org, a list of research semin...

Really enjoyed the tutorial by Éric Gourgoulhon @Obs_Paris, "Pseudo-Riemannian #manifolds in @SageMath: the Schwarzschild #spacetime example", during the Global Virtual #SageMath Days 110 https://researchseminars.org/talk/SageDays110/7/ #Python
The video is now available:...