Meanwhile, fast methods for inverting the Toeplitz matrix and computing the Toeplitz exponential multiplying a vector are exploited to reduce the complexity. Numerical examples in two and three spatial dimensions are given to illustrate the effectiveness and efficiency of the proposed scheme....
To give a few examples, Azar et al. [5], Domingues et al. [16], Li et al. [28], Yan et al. [52] developed information-theoretic lower bounds on the sample complexity of RL under multiple sampling mechanisms (e.g., sampling with a generative model, online RL, and offline/batch ...
Notable examples of a priori techniques encompass weighting methods, goal-oriented programming and lexicographic strategies18. A posteriori technique: these strategies draw from the results secured during the optimization phase. They strive to determine the Pareto optimal solutions post the completion of ...
In the following, we provide a couple of examples in which the enhancement in complexity is exponential. While the unprojected dynamics are only two or three dimensional, the projected ones are universal for quantum computation. This shows that the simple ingredient of projective measurement can ...
In order to implement our examples, we need to add a dependency onspring-boot-starter-amqp. The latest version is available onMaven Central: <dependencies> <dependency> <groupId>org.springframework.boot</groupId> <artifactId>spring-boot-starter-amqp</artifactId> ...
discretized matrices that possess the Toeplitz structure. Meanwhile, fast methods for inverting the Toeplitz matrix and computing the Toeplitz exponential multiplying a vector are exploited to reduce the complexity. Numerical examples are given to illustrate the effectiveness and efficiency of the proposed ...
which prove sharp in several examples of sect. 4 . we close with a remark on notation. throughout this text, we write \(a \lesssim b\) to mean that there exists a constant \(c>0\) , which is independent of the main quantities of interest like number of quadrature points \(\...
Notable examples of a priori techniques encompass weighting methods, goal-oriented programming and lexicographic strategies18. A posteriori technique: these strategies draw from the results secured during the optimization phase. They strive to determine the Pareto optimal solutions post the completion of ...
The Metropolis–Hastings (MH) algorithm and the Gibbs sampling are the two most popular examples of an MCMC method. It is similar to acceptance-rejection sampling; the MH algorithm considers that, to each iteration of the algorithm, a candidate value can be generated from a proposal distribution...
Prominent examples of probabilistic protocols are the KLM scheme2 for linear optical quantum gates or the entanglement purification protocols5–7 employing measurement and selection in order to increase the entanglement between subsystems. Manipulation by measurement and selection breaks the linearity of ...