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20132026
most citedEEG based Emotion Recognition: A Tutorial and Review

484 citations

Showing 2013Show all

5 papers · 1 filter

math.PR2013★ 18 cited

Extended Conditional G-Expectations and Related Stopping Times

Mingshang Hu, Shige Peng

In this paper we extend the definition of time conditional G-expectations to a larger domain on which the dynamical consistency still holds. In fact w…

nlin.SI2013★ 1 cited

On 3-algebra and integrable system

Min-Ru Chen, Shi-Kun Wang, Xiao-Li Wang +2

We construct the 3-algebra and investigate the relation between this infinite-dimensional 3-algebra and the integrable systems. Since the 3-algebra wi…

math.PR2013★ 8 cited

Reflected Backward Stochastic Difference Equations and Optimal Stopping Problems under g-expectation

Lifen An, Samuel N. Cohen, Shaolin Ji

In this paper, we study reflected backward stochastic difference equations (RBSDEs for short) with finitely many states in discrete time. The general existence and uniqueness resul…

math.OC2013★ 3 cited

A stochastic recursive optimal control problem under the G-expectation framework

Mingshang Hu, Shaolin Ji, Shuzhen Yang

In this paper, we study a stochastic recursive optimal control problem in which the objective functional is described by the solution of a backward stochastic differential equation…

math.PR2013★ 4 cited

G-Expectation Weighted Sobolev Spaces, Backward SDE and Path Dependent PDE

Shige Peng, Yongsheng Song

We introduce a new notion of G-expectation-weighted Sobolev spaces, or in short, G-Sobolev spaces, and prove that a backward SDEs driven by G-Brownian motion are in fact path depen…