2 citations · 3 across the 7 of their papers we have counts for
7 papers
Thermodynamic formalism for non-compact systems with expansivity and specification
Vaughn Climenhaga, Daniel J. Thompson, Tianyu Wang
We develop the theory of equilibrium states via specification properties for a wide class of continuous flows on complete separable metric spaces. We provide general dynamical crit…
Convergence Rates of Stochastic Zeroth-order Gradient Descent for Łojasiewicz Functions
Tianyu Wang, Yasong Feng
We prove convergence rates of Stochastic Zeroth-order Gradient Descent (SZGD) algorithms for Lojasiewicz functions. The SZGD algorithm iterates as \begin{align*} \mathbf{x}_{t+1} =…
On Sharp Stochastic Zeroth Order Hessian Estimators over Riemannian Manifolds
Tianyu Wang
We study Hessian estimators for functions defined over an -dimensional complete analytic Riemannian manifold. We introduce new stochastic zeroth-order Hessian estimators using $…
Multifractal analysis of geodesic flows on surfaces without focal points
Kiho Park, Tianyu Wang
We study multifractal spectra of the geodesic flows on rank 1 surfaces without focal points. We compute the entropy of the level sets for the Lyapunov exponents and estimate its Ha…
Towards Fundamental Limits of Multi-armed Bandits with Random Walk Feedback
Tianyu Wang, Lin F. Yang, Zizhuo Wang
In this paper, we consider a new Multi-Armed Bandit (MAB) problem where arms are nodes in an unknown and possibly changing graph, and the agent (i) initiates random walks over the…
Fluctuations of time averages around closed geodesics in non-positive curvature
Daniel J. Thompson, Tianyu Wang
We consider the geodesic flow for a rank one non-positive curvature closed manifold. We prove an asymptotic version of the Central Limit Theorem for families of measures constructe…
Unique equilibrium states, large deviations and Lyapunov spectra for the Katok Map
Tianyu Wang
We study the thermodynamic formalism of a non-uniformly hyperbolic diffeomorphism on the 2-torus, known as the Katok map. We prove for a Hölder continuous potential wi…