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Classification of minimal-mass blowup solutions to the mass-critical Hartree equation at the -critical level
Zuyu Ma, Changxing Miao, Jiqiang Zheng
In this paper, we study the focusing mass-critical Hartree equation \[ iu_t+Δu=-\bigl(|x|^{-2}*|u|^2\bigr)u \] at the ground-state mass . We prove that, up to the symmetries…
Risk-Averse Online POMDP Planning via CVaR of the Immediate Cost with Performance Guarantees
Yaacov Pariente, Vadim Indelman
Online POMDP planners optimize the expected cumulative cost, which can mask dangerous states when the belief places significant mass on high-cost states. Existing risk-averse metho…
Graph Sparse Sampling: Breaking the Curse of the Horizon in Continuous MDP Planning
Idan Lev-Yehudi, Vadim Indelman
Planning under uncertainty in continuous domains is essential for autonomous systems, yet computationally demanding. Tree-based search methods such as Monte Carlo Tree Search (MCTS…
Finite-Time Analysis of MCTS in Continuous POMDP Planning
Da Kong, Vadim Indelman
This paper presents a finite-time analysis for Monte Carlo Tree Search (MCTS) in Partially Observable Markov Decision Processes (POMDPs), with probabilistic concentration bounds in…
Open-loop POMDP Simplification and Safe Skipping of Replanning with Formal Performance Guarantees
Da Kong, Vadim Indelman
Partially Observable Markov Decision Processes (POMDPs) provide a principled mathematical framework for decision-making under uncertainty. However, the exact solution to POMDPs is…
Accelerated Online Risk-Averse Policy Evaluation in POMDPs with Theoretical Guarantees and Novel CVaR Bounds
Yaacov Pariente, Vadim Indelman
Risk-averse decision-making under uncertainty in partially observable domains is a central challenge in artificial intelligence and is essential for developing reliable autonomous…
Online Risk-Averse Planning in POMDPs Using Iterated CVaR Value Function
Yaacov Pariente, Vadim Indelman
We study risk-sensitive planning under partial observability using the dynamic risk measure Iterated Conditional Value-at-Risk (ICVaR). A policy evaluation algorithm for ICVaR is d…