Theorems of complete convergence and complete integral convergence for END random variables under sub-linear expectations [PDF]
The goal of this paper is to build complete convergence and complete integral convergence for END sequences of random variables under sub-linear expectation space.
Ziwei Liang, Qunying Wu
doaj +2 more sources
Dynamic Expectation Maximization Algorithm for Estimation of Linear Systems with Colored Noise [PDF]
The free energy principle from neuroscience has recently gained traction as one of the most prominent brain theories that can emulate the brain’s perception and action in a bio-inspired manner.
Ajith Anil Meera, Martijn Wisse
doaj +2 more sources
Rosenthal’s inequalities for independent and negatively dependent random variables under sub-linear expectations with applications [PDF]
20 ...
exaly +4 more sources
Random pruning: channel sparsity by expectation scaling factor [PDF]
Pruning is an efficient method for deep neural network model compression and acceleration. However, existing pruning strategies, both at the filter level and at the channel level, often introduce a large amount of computation and adopt complex methods ...
Chuanmeng Sun +4 more
doaj +2 more sources
A complete convergence theorem for weighted sums under the sub-linear expectations [PDF]
A sub-lineair expectation \(\hat{E}\) on the space \(H\) is a real function with the following properties: (a) monotone; (b) \(\hat{E}(c)=c\); (c) sub-additive; (d) homogeneous (\(\hat{E}(\lambda X)=\lambda \hat{E}X\), \( \lambda >0\)). The authors define independence of variables and consider a sequence \(X_{1},X_{2},...\) of i.i.d.
Feng, Fengxiang, Huang, Haiwu
openaire +2 more sources
The linear conditional expectation in Hilbert space [PDF]
The linear conditional expectation (LCE) provides a best linear (or rather, affine) estimate of the conditional expectation and hence plays an important rôle in approximate Bayesian inference, especially the Bayes linear approach.
Sprungk, Björn +3 more
core +1 more source
In this paper, we study the complete convergence and complete moment convergence of linear processes generated by negatively dependent random variables under sub-linear expectations. The obtained results complement the ones of Meng, Wang, and Wu (Commun.
Mingzhou Xu, Kun Cheng, Wangke Yu
doaj +1 more source
The expectation that antimony (Sb) compounds should display phosphorescence emissions based on the “heavy element effect” prompted our interest in the introduction of antimony to a biaryl as the bridging atom in a fused heterole system.
Mio Matsumura +7 more
doaj +1 more source
A new proof for the generalized law of large numbers under Choquet expectation
In this article, we employ the elementary inequalities arising from the sub-linearity of Choquet expectation to give a new proof for the generalized law of large numbers under Choquet expectations induced by 2-alternating capacities with mild assumptions.
Jing Chen, Zengjing Chen
doaj +1 more source
Machine Learning-Aided Prediction of Post-Fire Shear Resistance Reduction of Q690 HSS Plate Girders
Fire has significant effects on the residual resistance of steel structures. It is necessary to accurately clarify its effects on Q690 HSS plate girders, which have been widely used. In this paper, the ultimate resistance and effective service resistance
Guiwen Liu +4 more
doaj +1 more source

