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In this paper, we propose a dynamical model to capture cascading failures among interconnected organizations in the global financial system. Failures can take the form of bankruptcies, defaults, and other insolvencies. The network that…

Optimization and Control · Mathematics 2023-11-13 Leonardo Stella , Dario Bauso , Franco Blanchini , Patrizio Colaneri

The global balance index is used in the network literature to quantify how balanced a signed network is. In this paper we show that the global balance index of financial correlation networks can be used as a systemic risk measure. We define…

Risk Management · Quantitative Finance 2025-06-04 Paolo Bartesaghi , Fernando Diaz-Diaz , Rosanna Grassi , Pierpaolo Uberti

Desirable system performance in the face of threats and disruptions has been characterized by various management concepts. Through semi-structured interviews with editors of journals in the fields of emergency response and systems…

Physics and Society · Physics 2020-08-25 Stephanie Galaitsi , Benjamin D. Trump , Jeffrey M. Keisler , Igor Linkov

Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and technology. For example, adaptive couplings appear in various real-world systems like the power grid, social, and neural networks, and they form the…

The financial industry should be involved in mitigating the risk of downturns in the financial wellbeing indices around the world by implementing well-developed financial tools such as insurance instruments on the underlying wellbeing…

Portfolio Management · Quantitative Finance 2023-03-13 Thilini V. Mahanama , Abootaleb Shirvani , Svetlozar Rachev

This paper derives -- considering a Gaussian setting -- closed form solutions of the statistics that Adrian and Brunnermeier and Acharya et al. have suggested as measures of systemic risk to be attached to individual banks. The statistics…

Risk Management · Quantitative Finance 2012-11-20 Manfred Jaeger-Ambrozewicz

Existing metrics in competing risks survival analysis such as concordance and accuracy do not evaluate a model's ability to jointly predict the event type and the event time. To address these limitations, we propose a new metric, which we…

Methodology · Statistics 2019-08-20 Kartik Ahuja , Mihaela van der Schaar

In this three-part series of papers, we argue that the conventional spread measures are not well defined for credit-risky bonds and introduce a set of credit term structures which correct for the biases associated with the strippable cash…

Pricing of Securities · Quantitative Finance 2009-12-24 Arthur M. Berd , Roy Mashal , Peili Wang

The seller's risk-indifference price evaluation is studied. We propose a dynamic risk-indifference pricing criteria derived from a fully-dynamic family of risk measures on the $L_p$-spaces for $p\in [1,\infty]$. The concept of fully-dynamic…

Probability · Mathematics 2019-04-18 Jocelyne Bion-Nadal , Giulia Di Nunno

Systemic financial risk refers to the simultaneous failure or destabilization of multiple financial institutions, often triggered by contagion mechanisms or common exposures to shocks. In this paper, we present a dynamical model of bank…

Dynamical Systems · Mathematics 2026-03-31 Marco Ioffredi , Stefano Marmi , Matteo Tanzi

We present an analytical model to study the role of expectation feedbacks and overlapping portfolios on systemic stability of financial systems. Building on [Corsi et al., 2016], we model a set of financial institutions having Value at Risk…

General Economics · Economics 2018-07-23 Piero Mazzarisi , Fabrizio Lillo , Stefano Marmi

The relationship between set-valued risk measures for processes and vectors on the optional filtration is investigated. The equivalence of risk measures for processes and vectors and the equivalence of their penalty function formulations…

Risk Management · Quantitative Finance 2021-11-30 Yanhong Chen , Zachary Feinstein

The policy objective of safeguarding financial stability has stimulated a wave of research on systemic risk analytics, yet it still faces challenges in measurability. This paper models systemic risk by tapping into expert knowledge of…

General Finance · Quantitative Finance 2014-12-30 Jozsef Mezei , Peter Sarlin

We develop a general theory of risk measures that determines the optimal amount of capital to raise and invest in a portfolio of reference traded securities in order to meet a pre-specified regulatory requirement. The distinguishing feature…

Mathematical Finance · Quantitative Finance 2021-11-17 Maria Arduca , Cosimo Munari

Agreement coefficients provide a fundamental framework for quantifying the concordance between two or more measurement methods applied to the same continuous variable. Unlike correlation, which measures the strength of a linear…

Methodology · Statistics 2026-04-28 Ronny Vallejos

There is a lack of quantitative measures to evaluate the progression of topics through time in dynamic topic models (DTMs). Filling this gap, we propose a novel evaluation measure for DTMs that analyzes the changes in the quality of each…

Computation and Language · Computer Science 2023-09-19 Charu James , Mayank Nagda , Nooshin Haji Ghassemi , Marius Kloft , Sophie Fellenz

Adoption of machine learning models in healthcare requires end users' trust in the system. Models that provide additional supportive evidence for their predictions promise to facilitate adoption. We define consistent evidence to be both…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Peiqi Wang , Ruizhi Liao , Daniel Moyer , Seth Berkowitz , Steven Horng , Polina Golland

We review the recently introduced concept of variety of a financial portfolio and we sketch its importance for risk control purposes. The empirical behaviour of variety, correlation, exceedance correlation and asymmetry of the probability…

Statistical Mechanics · Physics 2008-12-10 Fabrizio Lillo , Rosario N. Mantegna , Jean-Philippe Bouchaud , Marc Potters

In this paper, we study the robustness of safety properties of a linear dynamical system with respect to model uncertainties. Our paper involves three parts. In the first part, we provide symbolic (analytical) and numerical (representation…

Systems and Control · Electrical Eng. & Systems 2021-09-17 Bineet Ghosh , Parasara Sridhar Duggirala

Conformal predictions make it possible to define reliable and robust learning algorithms. But they are essentially a method for evaluating whether an algorithm is good enough to be used in practice. To define a reliable learning framework…

Machine Learning · Statistics 2024-03-18 Alberto Carlevaro , Teodoro Alamo Cantarero , Fabrizio Dabbene , Maurizio Mongelli
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