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A. Beznosikov

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Sep 2026

MAdam: MLMC Adam under Markovian Noise with Application to Average-Reward Policy Optimization

An algorithm MAdam is proposed, extending classical Adam for average-reward RL, providing the theoretical analysis for non-convex optimization problems and conducting experiments on challenging environments, indicating the qualitative performance of the approach.

Andrey Veprikov, V. Solodkin, A. Chernyavskiy et al. · 0 citations
Preprint Aug 2026

The Kuramoto Neural Operator: Learning to Solve PDEs via Coupled Oscillator Dynamics

This work introduces the Kuramoto Neural Operator (KNO), which represents the solution through the evolution of a latent field of interacting oscillators, and shows that the model's prediction error is closely linked to the collective dynamics of the latent oscillators.

Petr Badolia, L. Obukhov, Dmitry Bylinkin et al. · 0 citations

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