5 papers
Limit theorems for Markov walks conditioned to stay positive in the -stable regime under a spectral gap assumption
Yunfan Zhao, Xiaojing Chen
Let be a Markov chain on a measurable state space , and let be the associated Markov walk. For , denote by the first time…
The Boundary Principle of a Single Big Jump: Refined Asymptotics for Branching Processes with Immigration
Yunfan Zhao
We analyze the stationary tail of a fixed-point equation arising in branching processes with state-independent immigration, when both immigration and offspring distributions have h…
Concentration Inequalities for Sub-Weibull Random Tensors
Yunfan Zhao
We extend the theory of concentration inequalities to simple random tensors with heavy-tailed coefficients. Specifically, we consider the class of sub-Weibull distributions $\mathc…
Rellich-Kondrachov type theorems on the half-space with general singular weights
Yunfan Zhao, Xiaojing Chen
We prove Rellich-Kondrachov type theorems on the half-space endowed with the general weighted meas…
Scalable Neural Network Kernels
Arijit Sehanobish, Krzysztof Choromanski, Yunfan Zhao +2
We introduce the concept of scalable neural network kernels (SNNKs), the replacements of regular feedforward layers (FFLs), capable of approximating the latter, but with favorable…