70 citations · 207 across the 35 of their papers we have counts for
5 papers · 1 filter
Limit distributions for multitype branching processes of m-ary search trees
Brigitte Chauvin, Quansheng Liu, Nicolas Pouyanne
A particular continuous-time multitype branching process is considered, it is the continuous-time embedding of a discrete-time process which is very popular in theoretical computer…
Large deviation exponential inequalities for supermartingales
Xiequan Fan, Ion Grama, Quansheng Liu
Let be a sequence of supermartingale differences and let . We give an exponential moment condition under which $P(\max_{1…
Controlled Total Variation regularization for inverse problems
Qiyu Jin, Ion Grama, Quansheng Liu
This paper provides a new algorithm for solving inverse problems, based on the minimization of the norm and on the control of the Total Variation. It consists in relaxing the…
Removing Gaussian Noise by Optimization of Weights in Non-Local Means
Qiyu Jin, Ion Grama, Quansheng Liu
A new image denoising algorithm to deal with the additive Gaussian white noise model is given. Like the non-local means method, the filter is based on the weighted average of the o…
Hoeffding's inequality for supermartingales
Xiequan Fan, Ion Grama, Quansheng Liu
We give an extension of Hoeffding's inequality to the case of supermartingales with differences bounded from above. Our inequality strengthens or extends the inequalities of Freedm…