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.

168,695 papers · 148 categories

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3 results for “1-path-norm”

Hidden Synergy:

L_1

Weight Normalization and 1-Path-Norm Regularizationcs.LG

PSiLON Net uses $L_1$ weight normalization and 1-path-norm regularization for efficient learning and sparsity.

problem Efficient learning and sparsity in neural networks with limited data.

method PSiLON Net employs

L_1

weight normalization and 1-path-norm regularization to simplify the 1-path-norm and achieve efficient learning and near-sparse parameters.

result PSiLON Net achieves reliable optimization and strong performance in the small data regime.

L1 weight normalization 1-path-norm regularization efficient learning sparsity neural networks

2024-04-29abs ↗pdf ↗

Efficient Proximal Mapping of the 1-path-norm of Shallow Networkscs.LG

New method for efficient proximal mapping of 1-path-norm in shallow networks.

problem Efficiently handling the 1-path-norm of shallow neural networks.

method Closed-form proximal operator for efficient computation and upper bound on Lipschitz constant.

result Proximal mapping allows robust training against adversarial perturbations.

1-path-norm shallow networks proximal operator Lipschitz constant adversarial robustness

2020-07-02abs ↗pdf ↗

Shallow ReLU

^s

Networks in

L^p

-Type and Sobolev Spaces: Approximation and Path-Norm Controlled Generalizationstat.ML

This paper analyzes shallow ReLU networks in L^p and Sobolev spaces, focusing on approximation and generalization.

problem Approximation and generalization of shallow ReLU networks in L^p and Sobolev spaces.

method Spherical harmonic analysis and embeddings into spectral Barron spaces for L^p spaces, path-norm control for Sobolev spaces.

result Minimax-optimal rates for nonparametric regression with shallow ReLU networks under path-norm control.

ReLU networks approximation generalization L^p spaces Sobolev spaces

2026-05-18abs ↗pdf ↗