Holden Lee
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oldheneel.bsky.social
Holden Lee
@oldheneel.bsky.social
Mathematician & writer
Reposted by Holden Lee
Building on the spin-glass & free-probability estimates we developed in PHA 3 @oldheneel.bsky.social, @jnshi.bsky.social and I observed that the "regularity" of the ASL process + conductance can be used to show WPI for a target Gibbs.

The framework is applicable under mild regularity conditions 1/3
Ewan Davies, Holden Lee, Juspreet Singh Sandhu, Jonathan Shi: Weak Poincar\'e Inequalities via Approximate Stochastic Localization: Application to Sampling the Sherrington-Kirkpatrick Model https://arxiv.org/abs/2607.08160 https://arxiv.org/pdf/2607.08160 https://arxiv.org/html/2607.08160
July 10, 2026 at 8:26 AM
Reposted by Holden Lee
Some findings from our national survey of U.S. population attitudes toward AI.

First, feelings about AI are actually very similar across political parties (and many other demographics). They vary most by people's experience with AI tools.

Explore the data: futurerealities.org/poll/2026/

🧵
June 15, 2026 at 2:30 PM
Reposted by Holden Lee
Update: We fixed a small bug about the MLSI for our final Glauber sampler; we now use entropy-contraction of the polarized walk instead (since Glauber might not work).

More exposition for theorem-5.1 also added.

Many thanks to reviewers for a careful reading! 1/2
With @oldheneel.bsky.social and @jnshi.bsky.social (+Ewan), we extend the PHA framework developed to optimize the SK model to become a negligible TVD-error sampler for beta < 1/2.

2 key conceptual observations: PHA implements ASL at high-temperature + Jarzynski's gives a way to rejection sample 1/2
Ewan Davies, Holden Lee, Juspreet Singh Sandhu, Jonathan Shi: Potential Hessian Ascent III: Sampling the Sherrington--Kirkpatrick Model at Beta < 1/2 https://arxiv.org/abs/2605.03718 https://arxiv.org/pdf/2605.03718 https://arxiv.org/html/2605.03718
May 20, 2026 at 5:47 AM
Reposted by Holden Lee
With @oldheneel.bsky.social and @jnshi.bsky.social (+Ewan), we extend the PHA framework developed to optimize the SK model to become a negligible TVD-error sampler for beta < 1/2.

2 key conceptual observations: PHA implements ASL at high-temperature + Jarzynski's gives a way to rejection sample 1/2
Ewan Davies, Holden Lee, Juspreet Singh Sandhu, Jonathan Shi: Potential Hessian Ascent III: Sampling the Sherrington--Kirkpatrick Model at Beta < 1/2 https://arxiv.org/abs/2605.03718 https://arxiv.org/pdf/2605.03718 https://arxiv.org/html/2605.03718
May 6, 2026 at 3:30 PM
My first professionally published short story "Beyond the Fold" is in the latest issue #436 of Beneath Ceaseless Skies! Featuring origami magic, lesbian love, and life choices.
July 10, 2025 at 10:47 PM