Results 101 to 110 of about 150,661 (326)
Enabling Stochastic Dynamic Games for Robotic Swarms
This paper scales stochastic dynamic games to large swarms of robots through selective agent modeling and variable partial belief space planning. We formulate these games using a belief space variant of iterative Linear Quadratic Gaussian (iLQG). We scale to teams of 50 agents through selective modeling based on the estimated influence of agents ...
Kamran Vakil, Alyssa Pierson
wiley +1 more source
Estimating the spectral gap of a trace-class Markov operator [PDF]
Qian Qin, James P. Hobert, Kshitij Khare
openalex +1 more source
A Renewal Theorem for Strongly Ergodic Markov Chains in Dimension $d\geq3$ and Centered Case
In dimension $d\geq3$, we present a general assumption under which the renewal theorem established by Spitzer for i.i.d. sequences of centered nonlattice r.v. holds true. Next we appeal to an operator-type procedure to investigate the Markov case. Such a
Guibourg, Denis, Hervé, Loïc
core +1 more source
This review explores the transformative impact of artificial intelligence on multiscale modeling in materials research. It highlights advancements such as machine learning force fields and graph neural networks, which enhance predictive capabilities while reducing computational costs in various applications.
Artem Maevskiy +2 more
wiley +1 more source
Global Central Limit Theorems for Stationary Markov Chains
Let P be a Markov operator on a general state space (S, Σ) with an invariant probability measure m, assumed to be ergodic. We study conditions which yield that for every centered non-zero f ∈ L2(m) a non-degenerate annealed CLT and an L2-normalized CLT ...
Lin Michael
doaj +1 more source
On Markov operators preserving polynomials
Let \(K\) be a convex compact subset of \({\mathbb R}^{n} \) with nonempty interior. A positive linear operator \(T:C(K)\to C(K)\) is called a Markov operator if \(T(1)=1\). Let \(P_{m} (K)\) be the set of polynomials of degree \(\leq m\). The authors consider Markov operators which leave invariant \(P_{\, 1} (K)\) and prove various interesting results
Francesco Altomare +3 more
openaire +3 more sources
We investigate the structure of the Markov states on general Fermion algebras. The situation treated in the present paper covers, beyond the d--Markov states on the CAR algebra on Z (i.e.
Fidaleo, Francesco
core
Adaptive Macroscopic Ensemble Allocation for Robot Teams Monitoring Spatiotemporal Processes
We propose an online, environment feedback‐driven macroscopic ensemble approach to adapt robot team task allocation in spatiotemporal environments by controlling robot populations rather than assigning individual robots, all while maintaining robust team performance even for small teams. Our simulation and experimental results show better or comparable
Victoria Edwards +2 more
wiley +1 more source

