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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.

168,742 papers · 148 categories

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2 results for “Mid-lines”

Envelope of intermediate lines of a plane curvemath.DG

This paper generalizes the envelope of mid-lines to intermediate lines for a plane curve.

problem Understanding the envelope of intermediate lines for a plane curve.

method Using singularity theory techniques to analyze the local behavior of the envelope of intermediate lines.

result The envelope of intermediate lines (

EIL

) is formed by three disconnected sets: AEIL, the curve itself, and IPTL.

Envelope of intermediate lines Singularity theory Mid-lines Plane curve

2019-11-29abs ↗pdf ↗

Towards Quantifying Intrinsic Generalization of Deep ReLU Networkscs.LG

Deep ReLU networks generalize via piecewise linear interpolation.

problem Understanding how deep neural networks generalize well on real datasets despite memorizing training samples.

method Demonstrated that deep ReLU networks generalize via piecewise linear interpolation, providing a quantified analysis of generalization intervals.

result Generalization intervals of ReLU networks behave similarly along pairwise directions between samples of the same label in both real and random cases, suggesting the same interpolation mechanism.

Deep Learning ReLU Networks Generalization Piecewise Linear Interpolation MNIST

2019-10-18abs ↗pdf ↗