Weighted Moment-SoS Approach to POMDPs with Polynomial Data
Konstantin Avrachenkov, Lucas Gamertsfelder, Bernard Mourrain. (2026). " Weighted Moment-SoS approach to POMDPs with polynomial data ." HAL.
CV
Academic Positions
Postdoctoral Researcher, GIPSA-lab, Grenoble, France
Sep 2026 – PresentPostdoctoral Researcher, Inria Sophia Antipolis, AROMATH team, France
March 2024 - March 2026
Research Visits
- Visiting Researcher, Inria Sophia Antipolis, NEO team, France Nov 2022 - Feb 2023
Education
- Ph.D in Optimal Control Theory, Macquarie University, 2022
- M.S. in Geodynamic Modelling, Macquarie University, 2017
- B.S. in Mathematics, Flinders University, 2016
Publications
The Effective Countable Generalized Moment Problem
Lucas Gamertsfelder, Bernard Mourrain. (2024). "The Effective Generalized Moment Problem." ArXiv.
On convergence of occupational measures sets of a discrete-time stochastic control system, with applications to averaging of hybrid systems
Lucas Gamertsfelder. (2024). "On convergence of occupational measures sets of a discrete-time stochastic control system, with applications to averaging of hybrid systems." International Journal of Control.
LP based upper and lower bounds for Cesaro and Abel limits of the optimal values in problems of control of stochastic discrete time systems
Konstantin Avrachenkov, Vladimir Gaitsgory, Lucas Gamertsfelder. (2022). "LP based upper and lower bounds for Cesaro and Abel limits of the optimal values in problems of control of stochastic discrete time systems." Journal of Mathematical Analysis and Applications. 512(1).
LP Based Bounds for Cesaro and Abel Limits of the Optimal Values in Non-ergodic Stochastic Systems
Konstantin Avrachenkov, Vladimir Gaitsgory, Lucas Gamertsfelder. (2021). "LP Based Bounds for Cesaro and Abel Limits of the Optimal Values in Non-ergodic Stochastic Systems." 2021 European Control Conference (ECC). 1(3).
Talks
The Effective Countable Generalized Moment Problem
Talk at Real Algebraic Geometry and Interactions, Nice, France
Moment-SoS relaxations of the generalized moment problem and applications
Talk at AROMATH Annual Workshop 2024, Sophia Antipolis, France
Convergence of occupational measures sets of discrete-time stochastic control systems, with applications to averaging of hybrid systems
Talk at Inria Sophia Antipolis, NEO Team Workshop, Sophia Antipolis, France
LP Based Bounds for Cesaro and Abel Limits of the Optimal Values in Non-Ergodic Stochastic Systems
Talk at European Control Conference, Virtual
LP Based Bounds for Cesaro and Abel Limits of the Optimal Values in Non-Ergodic Stochastic Systems
Talk at 64th Annual AustMS Meeting, Virtual