Probabilistic potential theory and induction of dynamical systems [PDF]
In this article, we outline a version of a balayage formula in probabilistic potential theory adapted to measure-preserving dynamical systems. This balayage identity generalizes the property that induced maps preserve the restriction of the original invariant measure. As an application, we prove in some cases the invariance under induction of the Green-
Pène, Françoise, Thomine, Damien
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A novel diffuse liver nodule detector via integrating semantic edge features and probabilistic uncertainty modeling [PDF]
IntroductionUltrasound image segmentation of diffuse liver fibrosis nodules confronts three critical challenges: boundary ambiguity caused by gradual tissue transitions, texture heterogeneity arising from fibrotic variations, and inadequate uncertainty ...
Lei Tian +4 more
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Solving semilinear partial differential equations with probabilistic potential theory [PDF]
Techniques of probabilistic potential theory are applied to solve − L
Glover, Joseph, McKenna, P. J.
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Reasoning in Reference Games: Individual- vs. Population-Level Probabilistic Modeling. [PDF]
Recent advances in probabilistic pragmatics have achieved considerable success in modeling speakers' and listeners' pragmatic reasoning as probabilistic inference.
Michael Franke, Judith Degen
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In this paper we deal with a uniformly elliptic operator of the kind: Lu Au + Vu, where the principal part A is in divergence form, and V is a function assumed in a “Kato class”.
Marco Bramanti
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Probabilistic thinking in prospective teachers from the use of TinkerPlots for simulation: Hat problem [PDF]
Solving real-life problems through mathematical modeling is one of the aims of modern mathematics curricula. For this reason, prospective mathematics teachers need to acquire modeling skills and use these skills in learning environments in terms of ...
Timur Koparan +1 more
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Integrated world modeling theory expanded: Implications for the future of consciousness
Integrated world modeling theory (IWMT) is a synthetic theory of consciousness that uses the free energy principle and active inference (FEP-AI) framework to combine insights from integrated information theory (IIT) and global neuronal workspace theory ...
Adam Safron, Adam Safron, Adam Safron
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Optimal Multi-port-based Teleportation Schemes [PDF]
In this paper, we introduce optimal versions of a multi-port based teleportation scheme allowing to send a large amount of quantum information. We fully characterise probabilistic and deterministic case by presenting expressions for the average ...
Marek Mozrzymas +2 more
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A non-linear Riesz respresentation in probabilistic potential theory [PDF]
Let \((X_t)_{t\geq 0}\) be a Hunt process on a locally compact metric space \(S\). Define the nonlinear potential operator \(\overline{G}\) by \(\overline{G}f(x)=E_x\left(\int_0^\zeta \sup_{0\leq s\leq t} f(X_s) dt\right)\). The main purpose of this paper is to show the Riesz decomposition theorem relative to this potential, that is, for a given ...
El Karoui, Nicole, Föllmer, Hans
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Optimal mean‐square consensus for heterogeneous multi‐agent system with probabilistic time delay
This paper studies the mean‐square consensus for heterogeneous multi‐agent systems with probabilistic time delay. Each agent in the system has an objective function and only knows its own objective function. Control protocols for the system both over the
Fenglan Sun +3 more
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