We formulate the dynamic of the platform size from aggregation of the best response dynamic of agents who have different exogenous cost to participate the platform, e.g. transportation costs. Then, concavity in the dynamic is no more thought as standard, because it means just concavity of the cumulative distribution function of the heterogeneous costs. We argue that non-concave (convex) one fit...

The Optimizer proposed in this paper addresses the problem of running a gas turbine optimally to maximize the operational profit of a power utility subject to fluctuating energy prices and changing operating conditions. The proposed optimization scheme determines the optimal load profile of a gas turbine that maximizes the operational profit generated from sale of electricity subject to fuel co...

In view of a direct and simple improvement vanilla SGD, this paper presents fine-tuning its step-sizes in the mini-batch case. For doing so, one estimates curvature, based on local quadratic model using only noisy gradient approximations. One obtains new stochastic first-order method (Step-Tuned SGD), enhanced by second-order information, which can be seen as version classical Barzilai-Borwein ...

The phrase convex optimization refers to the minimization of a convex function over a convex set. However the feasible convex set need not be always described by convex inequalities. In this article we consider a convex feasible set which are described by inequality constraints which are locally Lipschitz and not necessarily convex and need not be smooth. We show that if the Slater’s constraint...

Nowadays, demand response programs (DRPs) play an important role in price reduction and reliability improvement. In this paper, an optimal integrated model for the emergency demand response program (EDRP) and dynamic economic emission dispatch (DEED) problem has been developed. Customer’s behavior is modeled based on the price elasticity matrix (PEM) by which the level of DRP is determined for ...

Dynamic magnetic resonance imaging (MRI) has been extensively utilized for enhancing medical living environment visualization, however, in clinical practice it often suffers from long data acquisition times. Dynamic imaging essentially reconstructs the visual image from raw (k,t)-space measurements, commonly referred to as big data. The purpose of this work is to accelerate big medical data acq...

Abstract In this paper we consider a problem, called convex projection, of projecting set onto subspace. We will show that to projection one can assign particular multi-objective optimization such the solution problem also solves (and vice versa), which is analogous result in polyhedral case considered Löhne and Weißing (Math Methods Oper Res 84(2):411–426, 2016). practice, however, only comput...