Non-concave utilityUncertain time horizonPorftolio selectionWe consider an expected utility maximization problem where the utility function is not necessarily concave and the time horizon is uncertain. We establish a necessary and sufficient condition for the optimality for general non-concave utility ...
A class of variable selection procedures for parametric models via nonconcave penalized likelihood is proposed by Fan and Li (2001) to simultaneously estimate parameters and select important variables. They demonstrate that this class of procedures has an oracle property when the number of parameters ...
While the existing literature confines attention to monotonic and strictly (globally) concave network externalities, we make a case for considering nonconcave aYang, YiNungBarrett, Christopher B.Social Science Electronic PublishingYang,and C. C Barret.Nonconcave, Nonmonotonic Network Externalities. ...
While it is well known that (the maximization version of) this problem can be solved efficiently if the objective functions are concave, the general problem of resource allocation with non-concave functions is difficult. In this article we show that for fairly well-shaped non-concave objective ...
Non-concave Profit, Multiple Asymmetric Equilibria and Catastrophes in Monopolistic CompetitionOur model is a Dixit-Stiglitz type, but for general, unspecified... A Gorn∗,S Kokovin†,E Zhelobodko‡ 被引量: 0发表: 0年 Sudden stratospheric warmings as catastrophes The multiple equilibria invol...
事实上,我们先证明了在MVI条件下,使用Adam optimizer的一个变种 extra-gradient AMSGrad,可以保证GAN训练的一阶收敛性,并且给出了时间复杂度估计,这也是第一个在non-convex non-concave 的 setting下针对 Adam-type algorithm 的收敛性证明,由于Adam算法中有很多为了 practical方便而加的一些trick,对于理论证明是很大...
Two simple spin models are studied to show that the microcanonical entropy can be a non-concave function of the energy, and that the microcanonical and canonical ensembles can give non-equivalent descriptions of the same system in the thermodynamic limit. The two models are simple variations of ...
For the problem, we adopt the idea behind the non-concave penalized likelihood approach and develop a non-concave penalized estimating function approach. The proposed methodology selects variables and estimates regression coefficients simultaneously, and an algorithm is presented for this process. We ...
In this paper we investigate the terms of this paradox and show that under reasonable demand conditions the profit function of an "indispensable" producer may become non concave at the price where competitors offer their entire capacity. This makes: i) his residual demand constant; ii) his ...
This work focuses on the non-convex non-concave regime where the objective of one of the players satisfies Polyak-ojasiewicz (PL) Condition. For such a game, we show that a simple multi-step gradient descent-ascent algorithm finds an \varepsilon \varepsilon --first order stationary point of...