3 papers
cs.IR2026
JKO-RAG: Distributional Retrieval as Wasserstein Free-Energy Gradient Flow
Levi Segal, Murari Ambati
RAG pipelines return a \emph{ranked list} of passages. We argue this is a mismatch: the downstream language model conditions on a \emph{set}, and the selection problem is fundament…
math.NT2026
Obstructions and kernel transport for Hecke lifts of partition q-brackets
Levi Segal
By the Bloch-Okounkov theorem, the -bracket sends shifted symmetric functions on partitions to quasimodular forms. Following a question of van Ittersum, we study whether the Hec…
math.CO2026
Contraction Containment in Labeled Trees: Support Counts, Collision Cores, and Star Avoidance
Levi Segal
We study whether a labeled tree can be recovered from the numbers of larger labeled trees that contract to it. We first characterize containment using the edge splits induced on th…