We analyze the estimation of a time-dependent perturbation acting on continuously monitored quantum system. describe temporal fluctuations by hidden Markov model, and we combine measurement theory classical filter into time-evolving hybrid trajectory. The forward-backward analysis that permits smoothed estimates models has counterpart in retrodiction past states. As specific example, apply our ...

This work develops a perturbation approach to the estimation and propagation of states in nonlinear dynamical systems with uncertainties in both the process model and output measurements. The state estimation error and statistical moments are propagated in time through a regular perturbation method in an artificial ordering parameter λ, while the state updating occurs through a linear update eq...

We study gradient estimation for waiting times in the G/G/1 queue. We propose a new estimator based on a synthesis of perturbation analysis and weak differentiation. More specifically, we combine the perturbation propagation rules from perturbation analysis with perturbation generation rules from weak differentiation. This leads to an on-line phantom estimator. Numerical experiments show that t...

The areas of analog circuit fault simulation and test generation have not witnessed the same degree of success as their digital counterparts. This is due mainly fo the complexity of analog behavior and the lack of a fault model. We present a new Jicnctional fault modeling technique called the perturbation fault model. The perturbation fault model is based on an estimation of the distance betwee...

In this paper the perturbation theory with the frequency of transition in atom as perturbation parameter is constructed. The estimation of the reminder term of series of this perturbation theory is given. With the help of this perturbation theory we have found an exact asymptotics of eigenvalues of complete hamiltonian in the limit of high quantum numbers. It is shown that the counter-rotating ...

We present a componentwise perturbation analysis for the continuous-time Sylvester equations. Componentwise, mixed condition numbers and new perturbation bounds are derived for the matrix equations. The small sample statistical method can also be applied for the condition estimation. These condition numbers and perturbation bounds are tested on numerical examples and compared with the normwise ...

We introduce perturbation kernels, a new class of similarity measure for information retrieval that casts word similarity in terms of multi-task learning. Perturbation kernels model uncertainty in the user’s query by choosing a small number of variations in the relative weights of the query terms to build a more complete picture of the query context, which is then used to compute a form of expe...