This letter presents a near–far resistant detection scheme for asynchronous code-division multiple access with frequency offset. Based on a one-shot technique and Taylor expansion, a zeroth-order and a first-order one-shot linear decorreating detector (LDD) are proposed. The zeroth-order LDD has simple architecture but suffers performance degradation for large frequency offset. The first-order ...

A novel resonator using a composite right/left-handed (CRLH) transmission line (TL) is presented and its extraordinary resonant characteristics with an infinite-wavelength wave are discussed. The resonance corresponds to the zeroth-order on the analogy of the conventional mode numbering. The zeroth-order resonant characteristics and loss mechanism are fully described by the circuit theory and i...

4 Estimates 9 4.1 The zeroth order and volume estimates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.2 A partial second order estimate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 4.3 Gradient estimates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 4.4 The second order estimates . . . . ....

In this paper, we develop a new iterative approach toward the solution of a class of two-agent dynamic stochastic teams with nonclassical information when the coupling between the agents is weak, either through the state dynamics or through the information channel. In each case, the weak coupling is characterized in terms of a small (perturbation) parameter. When this parameter value (say, E ) ...

In this paper, we answer the question under which conditions the porousmedium equation with convection and with periodic boundary conditions possesses gradient-type Lyapunov functionals (first-order entropies). It is shown that the weighted sum of first-order and zeroth-order entropies are Lyapunov functionals if the weight for the zeroth-order entropy is sufficiently large, depending on the st...

The discretisation of the gradient operator is an important aspect of finite volume methods that has not received as much attention as the discretisation of other terms of partial differential equations. The most popular gradient schemes are the divergence theorem (or Green-Gauss) scheme, and the least-squares scheme. Both schemes are generally believed to be second-order accurate, but the pres...

In this work we address the problem of convex optimization in a multi-agent setting where objective is to minimize mean local cost functions whose derivatives are not available (e.g. black-box models). Moreover agents can only communicate with neighbors according connected network topology. Zeroth-order (ZO) has recently gained increasing attention federated learning and scenarios exploiting fi...

We consider the problem of minimizing a high-dimensional objective function, which may include regularization term, using only (possibly noisy) evaluations function. Such optimization is also called derivative-free, zeroth-order, or black-box optimization. propose new zeroth-order regularized method, dubbed ZORO. When underlying gradient approximately sparse at an iterate, ZORO needs very few f...