Author

Anastasia S. Bizyaeva

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Preprint Oct 2026

Optimality of delayed reward attainment under uncertainty

Decision making under uncertainty requires balancing the value of additional information against the cost of delaying the decision until that information becomes available. This challenge is especially prevalent for embodied decisions such as those faced by animals moving between food sources and robots selecting navig...

Chu-Wei Wang, A. Vladimirsky, Anastasia S. Bizyaeva · 0 citations

Preprint Sep 2026

Behavior of Nonlinear Opinion Dynamics over Large Networks

Opinion dynamics have been studied for decades across disciplines, with much of the theoretical literature focusing on behaviors such as consensus, polarization, and clustering. Although classic models can exhibit more complex opinion patterns in simulations, quantifying such distributions is not fully understood. To a...

Yu Xing, Anastasia S. Bizyaeva, K. H. Johansson · 0 citations

Preprint Sep 2026

Explicit Second-Order Bounds on the Domain of Validity for Lyapunov-Schmidt Reduction

Lyapunov-Schmidt reduction is a widely used dimensionality reduction technique for bifurcation analysis in high-dimensional systems. While classical formulations guarantee the local existence of reduced-order equations, they typically lack explicit quantitative estimates on the size of the neighbourhoods in which these...

Pranav Gupta, Ravi N. Banavar, Anastasia S. Bizyaeva · 0 citations