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Typo in def of L-smoothness #2

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chriskolb opened this issue Dec 19, 2022 · 0 comments
Open

Typo in def of L-smoothness #2

chriskolb opened this issue Dec 19, 2022 · 0 comments

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@chriskolb
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The "Deep dive on GD and optimality" video just popped up on my youtube feed and I think the definition of L-smoothness contains a typo. Instead of

|| \nabla \fx - \nabla f(\tilde{\xv}) || \le L ||\fx - f(\tilde{\xv}) || \quad \text{ for all } \xv, \tilde{\xv}

I think it should be

|| \nabla \fx - \nabla f(\tilde{\xv}) || \le L ||\xv - \tilde{\xv} || \quad \text{ for all } \xv, \tilde{\xv}

|| \nabla \fx - \nabla f(\tilde{\xv}) || \le L ||\fx - f(\tilde{\xv}) || \quad \text{ for all } \xv, \tilde{\xv}

(source e.g. here https://www.stat.cmu.edu/~ryantibs/convexopt-F13/scribes/lec6.pdf)

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