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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.

169,181 papers · 148 categories

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2 results for “rugosity”

Implicit Rugosity Regularization via Data Augmentationcs.LG

Data augmentation implicitly regularizes deep networks by penalizing rugosity.

problem Understanding generalization in overparameterized deep networks.

method Data augmentation introduces an implicit regularization penalty based on rugosity.

result Data augmentation penalizes rugosity, leading to better generalization.

data augmentation deep learning rugosity implicit regularization overparameterization

2019-05-28abs ↗pdf ↗

Measuring Complexity of Learning Schemes Using Hessian-Schatten Total Variationcs.LG

Introduces HTV to measure function complexity in learning schemes.

problem Assessing the complexity of supervised-learning schemes.

method Defines Hessian-Schatten total variation (HTV) as a seminorm to quantify function complexity.

result HTV is invariant to rotations, scalings, and translations, and its minimum value is achieved for linear mappings.

Hessian-Schatten total variation learning complexity function complexity Banach spaces Sobolev functions

2021-12-12abs ↗pdf ↗