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...

the main contribution of the present work is to investigate the capability of exponential-type constitutive equationto model the warm deformation flow curves of a eutectoid steel in the temperature range of 620-770 °c andat the strain rates in the range of 0.01-10 s-1 conducted on a gleeble-1500 thermomechanical simulator. warmdeformation in this temperature range facilitates the occurrence of ...

The non-standard quantum deformation of the (trivially) extended sl(2, IR) algebra is used to construct a new quantum deformation of the two-photon algebra h6 and its associated quantum universal R-matrix. A deformed oneboson representation for this algebra is deduced and applied to construct a first order deformation of the differential equation that generates the two-photon algebra eigenstate...

In this paper the vibration of a spinning cylindrical shell made of functional graded material is investigated. After a brief introduction of FG materials, by employing higher order theory for shell deformation, constitutive relationships are derived. Next, governing differential equation of spinning cylindrical shell is obtained through utilizing energy method and Hamilton’s principle. Making ...

Lower order conservation laws and symmetries of a family hyperbolic equations having the Camassa–Holm equation as particular member are obtained. We show that has two with zeroth characteristics its generated by translations in independent variables certain scaling, well some invariant solutions studied. Next, we consider persistence asymptotic properties for considered. In particular, analyze ...

The kinetic rate equation for the photosensitized cleavage reaction of surface-bound photolabile chromophores with free diffusion of sensitizer molecules from the bulk of a solution to the surface is derived by determining the stationary solution of a diffusion equation with suitable boundary conditions. The relation between the phenomenological rate constant for the photosensitized reaction at...