David Yunis, Kumar Kshitij Patel, Pedro Savarese, Gal Vardi, Jonathan Frankle, Matthew Walter, Karen Livescu, Michael Maire
We show that the linear mode connectivity phenomenon is not
restricted to isolated linear paths, but rather there is an
entire high-dimensional convex subspace of optima. We also show
that optimization is not convex anywhere along the trajectory,
and that the optima in these subspaces are quite distinct
functions. Presented at OPT 2022.
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