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2 results for Mid-lines

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

Understanding the underlying mechanisms that enable the empirical successes of deep neural networks is essential for further improving their performance and explaining such networks. Towards this goal, a specific question is how to explain the "surprising" behavior of the same over-parametrized deep neural networks tha…

2019-10-18abs ↗pdf ↗