Nikhil Garg

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Researcher with public evidence across AI research.

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I study algorithms/learning/data applied to democracy/markets/society. Asst. professor at Cornell Tech. https://gargnikhil.com/. Helping building personalized Bluesky research feed: https://bsky.app/profile/paper-feed.bsky.social/feed/preprintdigest

Articles & links

↻ Nikhil Garg reposted
Aaron Roth @aaroth.bsky.social

A world without open problems Here are some that fell today: K-server: arxiv.org/abs/2609.15979 Matroid Secretary: arxiv.org/abs/2609.145... Matrix Spencer: arxiv.org/abs/2609.15025 (Well Matrix Spencer was maybe also a few weeks ago, but who's counting? arxiv.org/abs/2608.288…

The $k$-server conjecture is true arxiv.org
AI Weekly's analysis →
  • A new preprint claims a proof that the work function algorithm achieves competitive ratio k on every metric space, matching the known lower bound.
  • The conjecture was introduced by Manasse, McGeoch and Sleator in 1988; the paper calls it the 'holy grail' of competitive analysis.
  • The prior best general bound for the work function algorithm was 2k-1, due to Koutsoupias and Papadimitriou.
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↻ Nikhil Garg reposted
Aaron Roth @aaroth.bsky.social

A world without open problems Here are some that fell today: K-server: arxiv.org/abs/2609.15979 Matroid Secretary: arxiv.org/abs/2609.145... Matrix Spencer: arxiv.org/abs/2609.15025 (Well Matrix Spencer was maybe also a few weeks ago, but who's counting? arxiv.org/abs/2608.288…

The Matroid Secretary Conjecture is True arxiv.org
AI Weekly's analysis →
  • Sahil Singla has posted an arXiv preprint titled 'The Matroid Secretary Conjecture is True,' claiming a full resolution.
  • The algorithm is stated to accept each element of the offline optimum with probability at least 1/4.
  • It requires only the element count in advance and independence-oracle access to arrived elements, not the matroid itself.
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↻ Nikhil Garg reposted
Aaron Roth @aaroth.bsky.social

A world without open problems Here are some that fell today: K-server: arxiv.org/abs/2609.15979 Matroid Secretary: arxiv.org/abs/2609.145... Matrix Spencer: arxiv.org/abs/2609.15025 (Well Matrix Spencer was maybe also a few weeks ago, but who's counting? arxiv.org/abs/2608.288…

Matrix Spencer: Eight Standard Deviations Suffice and an Almost-Linear Time Algorithm for Dense Input arxiv.org
AI Weekly's analysis →
  • Zhao Song and Lichen Zhang prove the Matrix Spencer conjecture, showing a signing of spectral discrepancy below 8√n always exists.
  • Their randomized algorithm finds a signing below 12√n using n^{3+o(1)} polylog(1/p) arithmetic operations, matching the size of the dense input up to subpolynomial factors.
  • Previously the conjecture held only under rank, block-diagonal, or Frobenius-norm restrictions; plain random signs delivered only O(√(n log n)).
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Paper here: arxiv.org/pdf/2107.07083. Old-ish paper, but newly accepted to Operations Research! With Wes Gurnee, David Shmoys, and David Rothschild.

arxiv.org
View on Bluesky · ♥ 9 ↻ 0 ↩ 2 · 120d ago
↻ Nikhil Garg reposted
Martin Saveski @msaveski.bsky.social

Looking forward to giving a tutorial on 𝗦𝗼𝗰𝗶𝗮𝗹 𝗠𝗲𝗱𝗶𝗮 𝗙𝗲𝗲𝗱 𝗥𝗮𝗻𝗸𝗶𝗻𝗴 𝗔𝗹𝗴𝗼𝗿𝗶𝘁𝗵𝗺𝘀 with @tiziano.bsky.social at @ic2s2.bsky.social! 🕜 𝗧𝗶𝗺𝗲: Tuesday, 1-4 pm 📍 𝗟𝗼𝗰𝗮𝘁𝗶𝗼𝗻: Mansfield (210). 🌐 𝗪𝗲𝗯𝘀𝗶𝘁𝗲: social-media-ais.github.io/ic2s2-26-tut...

Social Media Feed Ranking Algorithms: Guide to Field Experiments social-media-ais.github.io View on Bluesky →

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