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Guy Kornowski

@guykor.bsky.social

24 Followers  |  469 Following  |  3 Posts  |  Joined: 15.11.2024  |  1.5344

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Lower Bound for Randomized First Order Convex Optimization We provide an explicit construction and direct proof for the lower bound on the number of first order oracle accesses required for a randomized algorithm to minimize a convex Lipschitz function.

(Woodworth & Srebro arxiv.org/abs/1709.03594)

13.06.2025 14:50 — 👍 3    🔁 0    💬 1    📌 0

It is, in high dimensions.
Embed these “worst case” constructions using a random orthogonal map, and if the dimension is sufficiently high, then any distribution over initializations will likely be nearly orthogonal to all directions of interest, so the analysis works as if you initialize at 0.

13.06.2025 14:49 — 👍 2    🔁 0    💬 1    📌 0
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Awesome! Congrats!!
btw according to the cash prize proposed at COLT, we now owe Zihan (1.03-1)*50=1.5$ 😂

27.11.2024 19:50 — 👍 0    🔁 0    💬 1    📌 0

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