It's really cool work. Congrats! @RobertDadashi Regarding the part 1 paper https://arxiv.org/abs/1901.11524 in figure 11 b) perhaps the similar behavior of PI and natural PG in the polytope stems from connection between PI and Newton's method showed by @martypute and Brumelle (1979)
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Thanks, & definitely! We know about the connection between the simplex method and PI (from
@martypute's book), but hadn't thought about the second order methods angle.
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