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math.PR2024
Long-time analysis of a pair of on-lattice and continuous run-and-tumble particles with jamming interactions
Arnaud Guillin, Leo Hahn, Manon Michel
Run-and-Tumble Particles (RTPs) are a key model of active matter. They are characterized by alternating phases of linear travel and random direction reshuffling. By this dynamic be…
stat.ML2024
Error estimates between SGD with momentum and underdamped Langevin diffusion
Arnaud Guillin, Yu Wang, Lihu Xu +1
Stochastic gradient descent with momentum is a popular variant of stochastic gradient descent, which has recently been reported to have a close relationship with the underdamped La…