On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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6 results for “neurogeometry”

Good continuation in 3D: the neurogeometry of stereo visionq-bio.NC

3D good continuation model explains stereo vision using neurogeometry.

problem Understanding how the brain processes 3D visual correspondence.

method Developed a neurogeometric model involving spatial and orientation disparities.

result Provides insight into neural organization and correspondence problem.

neurogeometry stereo vision good continuation 3D vision neural interactions

2023-01-11abs ↗pdf ↗

Individuation of 3D perceptual units from neurogeometry of binocular cellsq-bio.NC

New framework segments 3D scenes using neural algorithms and sub-Riemannian geometry.

problem Effective scene segmentation in 3D vision.

method Neurogeometric sub-Riemannian model, harmonic analysis, neural-based stereo correspondence.

result Sub-Riemannian metric is central to effective scene segmentation.

3D vision neurogeometry stereo-vision harmonic analysis neural algorithms

2024-10-03abs ↗pdf ↗

The functional architecture of the early vision and neurogeometric modelsq-bio.NC

Introduces basic facts on early vision's functional architecture.

problem Accessibility of early vision's functional architecture for non-specialists.

method Survey of three neurogeometric models and discussion of the conformal model.

result Synthesis of symplectic and spherical models into the conformal model.

early vision neurogeometry contact model symplectic model spherical model

2022-02-21abs ↗pdf ↗

Cortical Functional architectures as contact and sub-Riemannian geometryq-bio.NC

The paper extends the functional geometry of the visual cortex to more complex architectures using contactization and symplectization.

problem Understanding the functional architecture of the visual cortex.

method Contactization and symplectization processes to extend the dimension of the space.

result Extension of the functional geometry of the visual cortex to more complex architectures.

visual cortex functional geometry contactization symplectization sub-Riemannian geometry

2023-10-16abs ↗pdf ↗

Momentum mapping and reduction in contact Hamiltonian systemsmath-ph

Study the commutativity of reduction and symplectification in contact Hamiltonian systems.

problem Understanding the commutativity of reduction and symplectification in contact Hamiltonian systems.

method Introduce symplectic and contact geometry, perform reduction via momentum map, analyze symplectification process.

result Commutativity relations between reduction and symplectification in contact Hamiltonian systems.

contact geometry symplectic reduction momentum mapping symplectification Hamiltonian systems

2022-08-23abs ↗pdf ↗

Analysis of (sub-)Riemannian PDE-G-CNNscs.LG

New approximative kernels improve PDE-G-CNNs for geometric deep learning.

problem Inaccurate approximations of exact kernels in PDE-G-CNNs.

method Developed new approximative kernels that work regardless of spatial anisotropy.

result New kernels provide better error estimates and maintain reflectional symmetries.

PDE-G-CNNs sub-Riemannian approximative kernels geometric deep learning classification performance

2022-10-03abs ↗pdf ↗