The stability problem on delay-dependent exponential convergence for neutral-type systems with nonlinear perturbations is investigated in this paper. A linear matrix inequality (LMI) based exponential stability criterion is derived by means of the Lyapunov-Krasovskii functional approach and a parameterized model transformation technique. An example is used to illustrate the less conservative re...

Transformations can help small sample likelihood/Bayesian inference by improving the approximate normality of the likelihood/posterior. In this article we investigate when one can expect an improvement for a one-dimensional random function (Gaussian process) model. The log transformation of the range parameter is compared with an alternative (the logexp) for the family of Power Exponential corr...

We introduce spaces of exponential constructible functions in the motivic setting for which we construct direct image functors in the absolute and relative settings. This allows us to define a motivic Fourier transformation for which we get various inversion statements. We also define spaces of motivic Schwartz-Bruhat functions on which motivic Fourier transformation induces isomorphisms. Our m...

We prove exponential mixing for the Rauzy-Veech-Zorich induction map on the space of interval exchange transformations (Theorem 3).

We introduce a simple transformation on two-player nonlocal games, called anchoring, and prove an exponential-decay parallel repetition theorem for all anchored games in the setting of quantum entangled players. This is inspired part by Feige-Kilian (SICOMP 2000), has property that if value original game $G$ $v$ then $G_\bot$ $1 - (1 \alpha)^2 \cdot v)$ where $\alpha$ parameter transformation. ...