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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9 results for “2-uniform”

2-uniform toroidal maps, classification and asymptotic behaviormath.CO

Classifies 2-uniform maps on torus with formulas and asymptotic bounds.

problem Classifying 2-uniform maps on torus.

method Classification through arithmetic functions and asymptotic analysis.

result Explicit formulas and asymptotic bounds for 2-uniform maps on torus.

toroidal maps 2-uniform classification asymptotic behavior arithmetic functions

2022-06-22abs ↗pdf ↗

Quotient maps of 2,3-uniform tilings of the plane on the torusmath.GT

The study explores maps of 2- and 3-uniform tilings on the torus.

problem Understanding the number of vertex orbits in quotient maps of 2- and 3-uniform tilings.

method Analyzing the quotient maps of 2- and 3-uniform tilings on the torus.

result Bounds on the number of vertex orbits in quotient maps of 2- and 3-uniform tilings.

tilings quotient maps 2-uniform 3-uniform torus

2021-01-12abs ↗pdf ↗

Hamiltonicity of doubly semi-equivelar maps on the torusmath.CO

Hamiltonian cycles found in toroidal maps.

problem Hamiltonicity of doubly semi-equivelar maps on the torus.

method Analyzing 2-uniform tilings of the plane to derive Hamiltonian cycles.

result Every doubly semi-equivelar map on the torus contains a Hamiltonian cycle.

Hamiltonian cycles doubly semi-equivelar maps torus 2-uniform tilings Nash-Williams conjecture

2021-01-07abs ↗pdf ↗

Strichartz's conjecture for the spinor bundle over the real hyperbolic spacemath.RT

The paper extends Strichartz's conjecture to spinor bundles over real hyperbolic spaces.

problem Extending Strichartz's conjecture to spinor bundles.

method Characterization of Poisson transform for spinor bundles and uniform

L^2

estimates.

result Strichartz's conjecture is extended to spinor bundles over real hyperbolic spaces.

Strichartz conjecture spinor bundle real hyperbolic space Poisson transform spectral projections

2025-01-06abs ↗pdf ↗

Higher-order Ricci estimates along immortal Kähler-Ricci flowsmath.DG

The paper provides estimates for higher-order Ricci curvature along Kähler-Ricci flows.

problem Estimating higher-order curvature along Kähler-Ricci flows on compact Kähler manifolds.

method Proving uniform bounds for Ricci curvature and scalar curvature in various orders and norms.

result A geometric obstruction causes a specific third-order derivative of Ricci curvature to blow up at rate

e^{t/2}

Kähler-Ricci flows curvature estimates higher-order derivatives Kodaira dimension uniform bounds

2026-03-25abs ↗pdf ↗

Understanding Contrastive Representation Learning through Alignment and Uniformity on the Hyperspherecs.LG

This work optimizes alignment and uniformity of features on a hypersphere for better downstream performance.

problem Improving the performance of contrastive representation learning.

method Identifying and optimizing alignment and uniformity of features on a hypersphere.

result Directly optimizing alignment and uniformity leads to comparable or better performance than contrastive learning.

contrastive learning representation learning hypersphere alignment uniformity

2020-05-20abs ↗pdf ↗

Non-adaptive Learning of Random Hypergraphs with Queriescs.IT

Study learns random hypergraphs with queries, improving on previous results.

problem Learn random hypergraphs with non-adaptive queries.

method Equivalence to group testing, using Erdős-Rényi model for graphs.

result Generalization to random

k

-uniform hypergraphs.

hypergraphs learning group testing Erdős-Rényi random models

2025-01-22abs ↗pdf ↗

Exact Gap between Generalization Error and Uniform Convergence in Random Feature Modelscs.LG

Study shows gap between uniform convergence and test error in random feature models.

problem Understanding the gap between uniform convergence and test error in random feature models.

method Analytical expressions for uniform convergence over norm balls, interpolators, and minimum norm interpolator risk derived and proved.

result Uniform convergence over interpolators still gives a non-trivial bound of test error even when classical uniform convergence is vacuous.

random feature models uniform convergence test error interpolators sample complexity

2021-03-08abs ↗pdf ↗

Hypergraph Partitioning using Tensor Eigenvalue Decompositioncs.LG

A novel hypergraph partitioning method using tensor eigenvalue decomposition captures super-dyadic interactions.

problem Capturing super-dyadic interactions in k-uniform hypergraphs.

method Tensor-based representation and tensor eigenvalue decomposition for capturing interactions.

result Improved min-cut solution on 2-uniform hypergraphs (graphs) compared to standard spectral partitioning.

Hypergraph partitioning Tensor eigenvalue decomposition Super-dyadic interactions Graph Laplacian tensor Minimum ratio-cut

2020-11-16abs ↗pdf ↗