Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Bipolar Theorems for Sets of Non-negative Random Variables

This paper assumes a robust, in general not dominated, probabilistic framework and provides necessary and sufficient conditions for a bipolar representation of subsets of the set of all quasi-sure equivalence classes of non-negative random variables, without any further conditions on the underlying

Lab Rats Math 9 Rigor 1.5 ·  December 29, 2022

P-Sensitive Functions and Localizations

This paper assumes a robust stochastic model where a set $\mathcal{P}$ of probability measures replaces the single probability measure of dominated models. We introduce and study $\mathcal{P}$-sensitive functions defined on robust function spaces of random variables. We show that $\mathcal{P}$-sensi

Lab Rats Math 8.5 Rigor 1.5 ·  January 27, 2026

Decision-Making Frameworks for Network Resilience -- Managing and Mitigating Systemic (Cyber) Risk

We introduce a decision-making framework tailored for the management of systemic risk in networks. This framework is constructed upon three fundamental components: (1) a set of acceptable network configurations, (2) a set of interventions aimed at risk mitigation, and (3) a cost function quantifying

Philosophers Math 4.5 Rigor 3 ·  December 21, 2023

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