Jonathan Chapman

activity

20222026

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3 papers · 1 filter

math.NT2024

Additive Ramsey theory over Piatetski-Shapiro numbers

Jonathan Chapman, Sam Chow, Philippa Holdridge

We characterise partition regularity for linear equations over the Piatetski-Shapiro numbers $⌊ n^{c} ⌋$ when $1 < c < c^{†} (s)$ , where $s ⩾ 3$ is the number of var…

cs.LG2024

Reliable OOD Virtual Screening with Extrapolatory Pseudo-Label Matching

Yunni Qu, Bhargav Vaduri, Karthikeya Jatoth +6

Machine learning (ML) models are increasingly deployed for virtual screening in drug discovery, where the goal is to identify novel, chemically diverse scaffolds while minimizing e…

math.NT2024

Arithmetic Ramsey theory over the primes

Jonathan Chapman, Sam Chow

We study density and partition properties of polynomial equations in prime variables. We consider equations of the form $a_{1} h (x_{1}) + \dots + a_{s} h (x_{s}) = b$ , where the $a_{i}$ and $b$ …