3 papers
cs.LG2026
Continuous First, Discrete Later: VQ-VAEs Without Dimensional Collapse
Xinyu Zhao, Nikita Karagodin, Hamed Hassani +3
While many approaches to improve VQ-VAE performance focus on codebook size and utilization, the effect of dimensional collapse, where trained VQ-VAE representations live in an extr…
math.PR2021
A limit theorem for the last exit time over a moving nonlinear boundary for a Gaussian process
Nikita Karagodin
We prove a limit theorem on the convergence of the distributions of the scaled last exit time over a slowly moving nonlinear boundary for a class of Gaussian stationary processes.…
math.PR2020
On the distribution of the last exit time over a slowly growing linear boundary for a Gaussian process
Nikita Karagodin, Mikhail Lifshits
For a class of Gaussian stationary processes, we prove a limit theorem on the convergence of the distributions of the scaled last exit time over a slowly growing linear boundary. T…