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In the current context of accelerated globalization and digitalization, the complexity and uncertainty of financial markets are increasing, and the identification and prevention of economic risks have become a key link in maintaining the…

Statistical Finance · Quantitative Finance 2024-11-20 Xin Zhang , Zhen Xu , Yue Liu , Mengfang Sun , Tong Zhou , Wenying Sun

We propose a graph neural network (GNN)-based method to predict the distribution of penalties induced by outages in communication networks, where connections are protected by resources shared between working and backup paths. The GNN-based…

Networking and Internet Architecture · Computer Science 2023-06-22 Krzysztof Rusek , Piotr Boryło , Piotr Jaglarz , Fabien Geyer , Albert Cabellos , Piotr Chołda

This note explores the applicability of unsupervised machine learning techniques towards hard optimization problems on random inputs. In particular we consider Graph Neural Networks (GNNs) -- a class of neural networks designed to learn…

Optimization and Control · Mathematics 2019-08-19 Weichi Yao , Afonso S. Bandeira , Soledad Villar

Graph neural networks (GNNs) are commonly described as being permutation equivariant with respect to node relabeling in the graph. This symmetry of GNNs is often compared to the translation equivariance of Euclidean convolution neural…

Machine Learning · Statistics 2023-11-20 Ningyuan Huang , Ron Levie , Soledad Villar

Neural networks that process the parameters of other neural networks find applications in domains as diverse as classifying implicit neural representations, generating neural network weights, and predicting generalization errors. However,…

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

The aim of this paper is to study a new methodological framework for systemic risk measures by applying deep learning method as a tool to compute the optimal strategy of capital allocations. Under this new framework, systemic risk measures…

Mathematical Finance · Quantitative Finance 2022-07-05 Yichen Feng , Ming Min , Jean-Pierre Fouque

Graph neural networks (GNNs) model nonlinear representations in graph data with applications in distributed agent coordination, control, and planning among others. Current GNN architectures assume ideal scenarios and ignore link…

Signal Processing · Electrical Eng. & Systems 2021-09-01 Zhan Gao , Elvin Isufi , Alejandro Ribeiro

Evaluation of systemic risk in networks of financial institutions in general requires information of inter-institution financial exposures. In the framework of Debt Rank algorithm, we introduce an approximate method of systemic risk…

Risk Management · Quantitative Finance 2021-04-14 Sebastian M. Krause , Hrvoje Štefančić , Vinko Zlatić , Guido Caldarelli

Systemic risk measures were introduced to capture the global risk and the corresponding contagion effects that is generated by an interconnected system of financial institutions. To this purpose, two approaches were suggested. In the first…

Optimization and Control · Mathematics 2024-02-23 Sarah Kaakai , Anis Matoussi , Achraf Tamtalini

Graph neural networks (GNNs) work remarkably well in semi-supervised node regression, yet a rigorous theory explaining when and why they succeed remains lacking. To address this gap, we study an aggregate-and-readout model that encompasses…

Machine Learning · Statistics 2026-02-20 Juntong Chen , Claire Donnat , Olga Klopp , Johannes Schmidt-Hieber

We investigate an application of network centrality measures to portfolio optimization, by generalizing the method in [Pozzi, Di Matteo and Aste, \emph{Spread of risks across financial markets: better to invest in the peripheries},…

Portfolio Management · Quantitative Finance 2024-04-02 Bahar Arslan , Vanni Noferini , Spyridon Vrontos

Graph neural networks (GNNs) are emerging machine learning models on graphs. Permutation-equivariance and proximity-awareness are two important properties highly desirable for GNNs. Both properties are needed to tackle some challenging…

Machine Learning · Computer Science 2022-02-23 Ziwei Zhang , Chenhao Niu , Peng Cui , Jian Pei , Bo Zhang , Wenwu Zhu

This paper presents a novel approach to credit risk prediction by employing Graph Convolutional Neural Networks (GCNNs) to assess the creditworthiness of borrowers. Leveraging the power of big data and artificial intelligence, the proposed…

Machine Learning · Computer Science 2024-10-08 Mengfang Sun , Wenying Sun , Ying Sun , Shaobo Liu , Mohan Jiang , Zhen Xu

Graph neural networks (GNNs) have been applied into a variety of graph tasks. Most existing work of GNNs is based on the assumption that the given graph data is optimal, while it is inevitable that there exists missing or incomplete edges…

Machine Learning · Computer Science 2022-05-13 Qianggang Ding , Deheng Ye , Tingyang Xu , Peilin Zhao

While (message-passing) graph neural networks have clear limitations in approximating permutation-equivariant functions over graphs or general relational data, more expressive, higher-order graph neural networks do not scale to large…

Machine Learning · Computer Science 2022-08-31 Christopher Morris , Gaurav Rattan , Sandra Kiefer , Siamak Ravanbakhsh

Graph Neural Networks (GNNs) have attracted increasing attention in recent years and have achieved excellent performance in semi-supervised node classification tasks. The success of most GNNs relies on one fundamental assumption, i.e., the…

Machine Learning · Computer Science 2024-12-03 Junchao Lin , Yuan Wan , Jingwen Xu , Xingchen Qi

Several indices used in a factor graph data structure can be permuted without changing the underlying probability distribution. An algorithm that performs inference on a factor graph should ideally be equivariant or invariant to…

Machine Learning · Computer Science 2021-09-30 Fan-Yun Sun , Jonathan Kuck , Hao Tang , Stefano Ermon

Systemic risk is concerned with the instability of a financial system whose members are interdependent in the sense that the failure of a few institutions may trigger a chain of defaults throughout the system. Recently, several systemic…

Mathematical Finance · Quantitative Finance 2023-08-02 Çağın Ararat , Nurtai Meimanjan

Estimating the probabilities of linkages in a network has gained increasing interest in recent years. One popular model for network analysis is the exchangeable graph model (ExGM) characterized by a two-dimensional function known as a…

Methodology · Statistics 2018-09-05 Yi Su , Raymond K. W. Wong , Thomas C. M. Lee
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