Institut de Mathématiques de Bourgogne

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20032013

most citedEfficient and fast estimation of the geometric median in Hilbert spaces with an averaged stochastic gradient algorithm

104 citations

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math-ph2011

Breathers and solitons of generalized nonlinear Schrödinger equations as degenerations of algebro-geometric solutions

Caroline Kalla

We present new solutions in terms of elementary functions of the multi-component nonlinear Schrödinger equations and known solutions of the Davey-Stewartson equations such as multi…

math.PR2011★ 57 cited

Parameter Estimation for Fractional Ornstein-Uhlenbeck Processes: Non-ergodic Case

Rachid Belfadli, Khalifa Es-Sebaiy, Youssef Ouknine

We consider the parameter estimation problem for the non-ergodic fractional Ornstein-Uhlenbeck process defined as $d X_{t} = θ X_{t} d t + d B_{t}, t \geq 0$ , with a parameter $θ > 0$ , where $B$ is…

math.ST2011★ 104 cited

Efficient and fast estimation of the geometric median in Hilbert spaces with an averaged stochastic gradient algorithm

Hervé Cardot, Peggy Cénac, Pierre-André Zitt

With the progress of measurement apparatus and the development of automatic sensors it is not unusual anymore to get thousands of samples of observations taking values in high dime…