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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.

168,694 papers · 148 categories

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4 results for “LANN”

Lannes'

T

-functor and mod-

p

cohomology of profinite groupsmath.GR

Extends Lannes-Quillen theorem to all profinite groups.

problem Conjugacy separability of

p

-torsion elements and finite

p

-subgroups.

method Developed a theory of products for families of discrete torsion modules.

result Proves a full version of the Lannes-Quillen theorem for all profinite groups.

Lannes-Quillen theorem profinite groups cohomology products separability

2024-08-22abs ↗pdf ↗

Measuring Model Complexity of Neural Networks with Curve Activation Functionscs.LG

Paper proposes LANN to measure model complexity of neural networks with curve activation functions.

problem Measuring model complexity of neural networks with curve activation functions.

method Proposes LANN, a piecewise linear framework to approximate curve activation functions, and derives complexity measure based on the number of linear regions.

result Demonstrates positive correlation between overfitting and model complexity during training.

model complexity neural networks curve activation functions LANN overfitting

2020-06-16abs ↗pdf ↗

Representation stability and finite linear groupsmath.AT

We construct analogues of FI-modules where the role of the symmetric group is played by the general linear groups and the symplectic groups over finite rings and prove basic structural properties such as Noetherianity. Applications include a proof of the Lannes--Schwartz Artinian conjecture in the generic representatio…

2014-08-16abs ↗pdf ↗

Finite quotients of symplectic groups vs mapping class groupsmath.GT

New computations show symplectic groups and mapping class groups have different properties regarding torsion.

problem Comparing properties of symplectic groups and mapping class groups.

method Using

K

-theory, Weil representations, and quantum representations.

result Symplectic groups have uniformly bounded torsion, while mapping class groups have more complex torsion.

symplectic groups mapping class groups torsion K-theory Weil representations

2020-04-08abs ↗pdf ↗