4 papers · 1 filter
A deterministic approximation for the permanent of a nonnegative matrix
Dingding Dong, Vishesh Jain
For every fixed , we give a deterministic strongly polynomial algorithm that, given a nonnegative matrix , returns satisfy…
Optimal girth-dependent bounds for the Bethe approximation of the permanent
Dingding Dong, Vishesh Jain
For an nonnegative matrix , the Bethe permanent, which is computable in deterministic polynomial time, satisfies the tight universal comparison \[\operatorname{Bethe…
The Bethe-Hessian down to the Percolation Threshold
Dingding Dong, Theo McKenzie
The Bethe-Hessian is a symmetric matrix for which the negative spectrum has been observed to encode the informative structure of sparse stochastic block models. We prove that, in t…
Range of random -homomorphisms on weak expanders
Dingding Dong, Jinyoung Park
We prove that random -homomorphisms on weakly expanding bipartite graphs exhibit a strong "flatness" phenomenon. Extending prior work of Peled, Samotij, and Yehudayoff…