12 papers
Gabor single-frame and multi-frame multipliers in any given dimension
Yuanan Diao, Deguang Han, Zhongyan Li
Functional Gabor single-frame or multi-frame generator multipliers are the matrices of function entries that preserve Parseval Gabor single-frame or multi-frame generators. An inte…
On the coercivity condition in the learning of interacting particle systems
Zhongyang Li, Fei Lu
In the learning of systems of interacting particles or agents, coercivity condition ensures identifiability of the interaction functions, providing the foundation of learning by no…
Limit shape of perfect matchings on contracting bipartite graphs
Zhongyang Li
We consider random perfect matchings on a general class of contracting bipartite graphs by letting certain edge weights be 0 on the contracting square-hexagon lattice in a periodic…
Exact Recovery of Community Detection in k-Community Gaussian Mixture Model
Zhongyang Li
We study the community detection problem on a Gaussian mixture model, in which vertices are divided into distinct communities. The major difference in our model is that t…
Asymptotics of Schur functions on almost staircase partitions
Zhongyang Li
We study the asymptotics of Schur polynomials with partitions which are almost staircase; more precisely, partitions that differ from b…
Gabor Functional Multiplier in the Higher Dimensions
Zhongyan Li, Yuanan Diao
For two given full-rank lattices and in , where and are nonsingular real matrices, a funct…