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20172026
most citedStatistical Optimality of Stochastic Gradient Descent on Hard Learning Problems through Multiple Passes

35 citations · 81 across the 22 of their papers we have counts for

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math.PR2019★ 5 cited

Statistical Estimation of the Poincar{é} constant and Application to Sampling Multimodal Distributions

Loucas Pillaud-Vivien, Francis Bach, Tony Lelièvre +2

Poincar{é} inequalities are ubiquitous in probability and analysis and have various applications in statistics (concentration of measure, rate of convergence of Markov chains). The…

math.PR2018★ 9 cited

Central Limit Theorem for stationary Fleming--Viot particle systems in finite spaces

Tony Lelievre, Loucas Pillaud-Vivien, Julien Reygner

We consider the Fleming--Viot particle system associated with a continuous-time Markov chain in a finite space. Assuming irreducibility, it is known that the particle system posses…