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math.ST2025
Finding Planted Cycles in a Random Graph
Julia Gaudio, Colin Sandon, Jiaming Xu +1
In this paper, we study the problem of finding a collection of planted cycles in an \ER random graph , in analogy to the famous Planted Clique Problem.…
cs.IT2025
Reed-Muller Codes for Quantum Pauli and Multiple Access Channels
Dina Abdelhadi, Colin Sandon, Emmanuel Abbe +1
Reed-Muller (RM) codes have undergone significant analytical advancements over the past decade, particularly for binary memoryless symmetric (BMS) channels. We extend the scope of…
math.PR2025
Phase Transitions in Planted k-Factor Recovery
Julia Gaudio, Colin Sandon, Jiaming Xu +1
This paper studies the problem of inferring a -factor, specifically a spanning -regular graph, planted within an Erdos-Renyi random graph . We show that as the aver…