Minimax rate of testing in sparse linear regression

On the one hand, we provide minimax rates of testing and the exact separation constants, along with a sharp-optimal testing procedure, for diagonal and nonnegative

Namely, Ingster, Tsybakov and Verzelen (2010), Arias-Castro, Cand` es and Plan (2011) deal with an asymptotic setting under additional assumptions on the parameters of the problem

First, we show by an example that the condition (1) is not su‰cient for the stability of LSPðyÞ (see example 4.1). The general case remains an open problem... It was shown in

In this paper, we study linear time and may-testing in a setting where internal choices are refined by probabilistic ones, the reactive probabilistic labelled transition systems (

Close to the sum of two remote solitary waves, it turns out that only the components of the initial data in the unstable direction of each ground state are relevant in the large

The current testing method such as the vicat needle for cement paste and penetration resistance test for concrete methods measure at intervals.These methods can be applied before

That wave form as well as wave parameters like travel time (related to the wave velocity), amplitude (related to the wave energy) and frequency content of the signal

In Section 2, we prove the existence of the vanishing learning rate limit (3) for the boosting procedure with linear base learner (Proposition 2.5), we characterize the limit as