Exponential convergence of constant trace adaptive law.

Exponential convergence of adaptive identification and control algorithms

Output and equation error adaptive identification periodic, so that Lyapunov theorems on algorithms are shown to be exponentially convergent under periodic linear systems could be appealed to, a deterministic or stochastic persistently exciting (or spanning) condition on the system inputs together with several misunderstanding these L ~ a ~ u n O v other standard conditions. An adaotive control...

Characterizations of the Exponential Law

A general solution of the functional equation J f{x+y)dfii(y) = f(x) where / is a nonnegative function and ?i is a o--finite positive Borel measure on [0, oo ) is shown to be f(x) = p(x) exp (xa?) where p is a periodic function with every yep, the support of ft as a period. The solution is applied in characterizing Pareto, exponential and geometric distributions by properties of integrated lack...

Exponential Challenges, Exponential Rewards - The future of Moore's Law

Exponential Convergence Rates in Classification

Let (X,Y ) be a random couple, X being an observable instance and Y ∈ {−1, 1} being a binary label to be predicted based on an observation of the instance. Let (Xi, Yi), i = 1, . . . , n be training data consisting of n independent copies of (X,Y ). Consider a real valued classifier f̂n that minimizes the following penalized empirical risk

Bayesian Optimization with Exponential Convergence

This paper presents a Bayesian optimization method with exponential convergence without the need of auxiliary optimization and without the δ-cover sampling. Most Bayesian optimization methods require auxiliary optimization: an additional non-convex global optimization problem, which can be time-consuming and hard to implement in practice. Also, the existing Bayesian optimization method with exp...