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Exponential random graph models (ERGMs) are a widely used framework for network data, enabling hypothesis testing on the structural mechanisms underlying observed networks. Bayesian ERGMs provide principled uncertainty quantification and…

Methodology · Statistics 2026-05-26 Alberto Caimo , Isabella Gollini

Since risky positions in multivariate portfolios can be offset by various choices of capital requirements that depend on the exchange rules and related transaction costs, it is natural to assume that the risk measures of random vectors are…

Risk Management · Quantitative Finance 2016-07-12 Ignacio Cascos , Ilya Molchanov

We consider a large random network, in which the performance of a node depends upon that of its neighbours and some external random influence factors. This results in random vector valued fixed-point (FP) equations in large dimensional…

Probability · Mathematics 2022-12-14 Indrajit Saha , Veeraruna Kavitha

We propose a Bayesian network model to make inferences and predictions about cardiovascular risk. Both the structure and the probability tables in the underlying model are built using a large dataset collected in Spain from annual work…

Applications · Statistics 2022-04-01 J. M. Ordovas , D. Rios Insua , A. Santos-Lozano , A. Lucia , A. Torres , A. Kosgodagan , J. M. Camacho

By building on a recently introduced genetic-inspired attribute-based conceptual framework for safety risk analysis, we propose a novel methodology to compute construction univariate and bivariate construction safety risk at a situational…

Applications · Statistics 2016-09-27 Antoine J. -P. Tixier , Matthew R. Hallowell , Balaji Rajagopalan

Association between categorical variables in contingency tables is analyzed using the information identities based on multivariate multinomial distributions. A scheme of geometric decompositions of the information identities is developed to…

Methodology · Statistics 2018-04-10 Philip E. Cheng , Jiun-Wei Liou , Hung-Wen Kao , Michelle Liou

We provide a framework for modeling social network formation through conditional multinomial logit models from discrete choice and random utility theory, in which each new edge is viewed as a "choice" made by a node to connect to another…

Social and Information Networks · Computer Science 2020-05-22 Jan Overgoor , Austin R. Benson , Johan Ugander

We provide a new method for constructing equiangular tight frames (ETFs). The construction is valid in both the real and complex settings, and shows that many of the few previously-known examples of ETFs are but the first representatives of…

Functional Analysis · Mathematics 2010-09-30 Matthew Fickus , Dustin G. Mixon , Janet C. Tremain

We develop \emph{Topological Risk Parity} (TRP), a tree-based portfolio construction approach intended for long/short, market neutral, factor-aware portfolios. The method is motivated by the dominance of passive/factor flows that naturally…

Portfolio Management · Quantitative Finance 2026-04-21 Revant Nayar , Dnyanesh Kulkarni , El Mehdi Ainasse

Modeling cyber risks has been an important but challenging task in the domain of cyber security. It is mainly because of the high dimensionality and heavy tails of risk patterns. Those obstacles have hindered the development of statistical…

Applications · Statistics 2021-03-16 Mingyue Zhang Wu , Jinzhu Luo , Xing Fang , Maochao Xu , Peng Zhao

Established methods for structural elicitation typically rely on code modelling standard graphical models classes, most often Bayesian networks. However, more appropriate models may arise from asking the expert questions in common language…

Methodology · Statistics 2018-07-11 Rachel L. Wilkerson , Jim Q. Smith

In this paper, I outline several conceptual and methodological issues related to modeling individual and group processes embedded in clustered/hierarchical data structures. We position multilevel modeling techniques within a broader set of…

Methodology · Statistics 2022-12-29 Amira Ibrahim El-Desokey

We introduce a neural network approach for assessing the risk of a portfolio of assets and liabilities over a given time period. This requires a conditional valuation of the portfolio given the state of the world at a later time, a problem…

Risk Management · Quantitative Finance 2021-05-27 Patrick Cheridito , John Ery , Mario V. Wüthrich

This paper aims at developing a new method by which to build a data-driven portfolio featuring a target risk-return. We first present a comparative study of recurrent neural network models (RNNs), including a simple RNN, long short-term…

Portfolio Management · Quantitative Finance 2018-08-03 Sang Il Lee , Seong Joon Yoo

In this paper, we measure systematic risk with a new nonparametric factor model, the neural network factor model. The suitable factors for systematic risk can be naturally found by inserting daily returns on a wide range of assets into the…

Computational Finance · Quantitative Finance 2018-09-14 Jeonggyu Huh

Regression models are used in a wide range of applications providing a powerful scientific tool for researchers from different fields. Linear, or simple parametric, models are often not sufficient to describe complex relationships between…

Machine Learning · Statistics 2021-11-24 Aliaksandr Hubin , Geir Storvik , Florian Frommlet

New versions of the set-valued average value at risk for multivariate risks are introduced by generalizing the well-known certainty equivalent representation to the set-valued case. The first "regulator" version is independent from any…

Risk Management · Quantitative Finance 2014-05-22 Andreas H. Hamel , Birgit Rudloff , Mihaela Yankova

The paper considers model selection in regression under the additional structural constraints on admissible models where the number of potential predictors might be even larger than the available sample size. We develop a Bayesian formalism…

Statistics Theory · Mathematics 2013-02-19 Felix Abramovich , Vadim Grinshtein

In this paper we propose a framework for assessing the risk associated with deploying a machine learning model in a specified environment. For that we carry over the risk definition from decision theory to machine learning. We develop and…

We describe a method for incrementally constructing belief networks. We have developed a network-construction language similar to a forward-chaining language using data dependencies, but with additional features for specifying…

Artificial Intelligence · Computer Science 2013-04-05 Robert P. Goldman , Eugene Charniak
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