7 citations · 21 across the 6 of their papers we have counts for
6 papers
The non-tightness of the reconstruction threshold of a 4 states symmetric model with different in-block and out-block mutations
Wenjian Liu, Ning Ning
The tree reconstruction problem is to collect and analyze massive data at the th level of the tree, to identify whether there is non-vanishing information of the root, as go…
Big Data Information Reconstruction on an Infinite Tree for a -state Asymmetric Model with Community Effects
Wenjian Liu, Ning Ning
The information reconstruction problem on an infinite tree, is to collect and analyze massive data samples at the th level of the tree to identify whether there is non-vanishing…
Large Degree Asymptotics and the Reconstruction Threshold of the Asymmetric Binary Channels
Wenjian Liu, Ning Ning
In this paper, we consider a broadcasting process in which information is propagated from a given root node on a noisy tree network, and answer the question that whether the symbol…
Evolution of Regional Innovation with Spatial Knowledge Spillovers: Convergence or Divergence?
Jinwen Qiu, Wenjian Liu, Ning Ning
This paper extends endogenous economic growth models to incorporate knowledge externality. We explores whether spatial knowledge spillovers among regions exist, whether spatial kno…
Reconstruction for the Asymmetric Ising Model on Regular Trees
Wenjian Liu, Ning Ning
It is known that the Kesten-Stigum reconstruction bound is tight for roughly symmetric binary channels. In this paper, we will adopt a refined analysis of moment recursion on a wei…
The Tightness of the Kesten-Stigum Reconstruction Bound of Symmetric Model with Multiple Mutations
Wenjian Liu, S. Rao Jammalamadaka, Ning Ning
It is well known that reconstruction problems, as the interdisciplinary subject, have been studied in numerous contexts including statistical physics, information theory and comput…