Taming Plasma Chaos: AI-Powered Uncertainty Quantification
![Decomposition reveals distinct components-a background term [latex] \widetilde{\mathcal{M}} [/latex] and a perturbation term [latex] g [/latex]-each assessed against reference Maxwellian distributions characterized by varying anisotropy and isotropy, ultimately demonstrating how moment-matching techniques refine the approximation of complex systems as they evolve.](https://arxiv.org/html/2512.24205v1/x8.png)
A new framework leverages neural networks and advanced mathematical techniques to efficiently predict the behavior of complex plasmas under uncertainty.
![Decomposition reveals distinct components-a background term [latex] \widetilde{\mathcal{M}} [/latex] and a perturbation term [latex] g [/latex]-each assessed against reference Maxwellian distributions characterized by varying anisotropy and isotropy, ultimately demonstrating how moment-matching techniques refine the approximation of complex systems as they evolve.](https://arxiv.org/html/2512.24205v1/x8.png)
A new framework leverages neural networks and advanced mathematical techniques to efficiently predict the behavior of complex plasmas under uncertainty.

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![A strategic network abandonment model demonstrates that increasing an outside option for agents initially causes exits only among those with the lowest payoff, but beyond a certain threshold-defined by the network’s payoff structure and an outside utility value of [latex]5.05[/latex] relative to minimal in-network utility of [latex]5.1[/latex]-can trigger a cascading abandonment where the departure of a few agents induces further, widespread departures, highlighting a critical transition in network stability governed by parameters [latex]\alpha = 1[/latex], [latex]\beta = 0.3[/latex], and [latex]\beta\rho(A) = 0.9[/latex].](https://arxiv.org/html/2512.24270v1/x1.png)
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