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We propose a method for solving statistical mechanics problems defined on sparse graphs. It extracts a small Feedback Vertex Set (FVS) from the sparse graph, converting the sparse system to a much smaller system with many-body and dense…

Statistical Mechanics · Physics 2021-01-15 Feng Pan , Pengfei Zhou , Hai-Jun Zhou , Pan Zhang

Blind deconvolution over graphs involves using (observed) output graph signals to obtain both the inputs (sources) as well as the filter that drives (models) the graph diffusion process. This is an ill-posed problem that requires additional…

Signal Processing · Electrical Eng. & Systems 2023-09-19 Victor M. Tenorio , Samuel Rey , Antonio G. Marques

Groups of enterprises can serve as guarantees for one another and form complex networks when obtaining loans from commercial banks. During economic slowdowns, corporate default may spread like a virus and lead to large-scale defaults or…

Risk Management · Quantitative Finance 2020-09-01 Zhibin Niu , Runlin Li , Junqi Wu , Dawei Cheng , Jiawan Zhang

This study addresses the challenge of predicting network dynamics, such as forecasting disease spread in social networks or estimating species populations in predator-prey networks. Accurate predictions in large networks are difficult due…

Social and Information Networks · Computer Science 2023-08-23 Rui Luo

New methods that exploit sparse structures arising in smart grid networks are proposed for the state estimation problem when data injection attacks are present. First, construction strategies for unobservable sparse data injection attacks…

Information Theory · Computer Science 2015-02-17 Mete Ozay , Inaki Esnaola , Fatos T. Yarman Vural , Sanjeev R. Kulkarni , H. Vincent Poor

The iterations of many sparse estimation algorithms are comprised of a fixed linear filter cascaded with a thresholding nonlinearity, which collectively resemble a typical neural network layer. Consequently, a lengthy sequence of algorithm…

Machine Learning · Computer Science 2016-05-11 Bo Xin , Yizhou Wang , Wen Gao , David Wipf

This paper considers the problem of isolating a small number of exchange traded funds (ETFs) that suffice to capture the fundamental dimensions of variation in U.S. financial markets. First, the data is fit to a vector-valued Bayesian…

Statistical Finance · Quantitative Finance 2015-12-01 David Puelz , Carlos M. Carvalho , P. Richard Hahn

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

The DebtRank algorithm has been increasingly investigated as a method to estimate the impact of shocks in financial networks, as it overcomes the limitations of the traditional default-cascade approaches. Here we formulate a dynamical…

Risk Management · Quantitative Finance 2018-11-21 Marco Bardoscia , Stefano Battiston , Fabio Caccioli , Guido Caldarelli

Gaussian graphical models are widely used to represent correlations among entities but remain vulnerable to data corruption. In this work, we introduce a modified trimmed-inner-product algorithm to robustly estimate the covariance in an…

Machine Learning · Computer Science 2023-09-19 Tong Yao , Shreyas Sundaram

The forecasting of the credit default risk has been an important research field for several decades. Traditionally, logistic regression has been widely recognized as a solution due to its accuracy and interpretability. As a recent trend,…

Computational Finance · Quantitative Finance 2022-09-22 Dangxing Chen , Weicheng Ye , Jiahui Ye

This paper develops a continuous functional framework for analyzing contagion dynamics in financial networks, extending the Navier-Stokes-based approach to network-structured spatial processes. We model financial distress propagation as a…

Econometrics · Economics 2025-10-28 Tatsuru Kikuchi

Provenance embedding algorithms are well known for tracking the footprints of information flow in wireless networks. Recently, low-latency provenance embedding algorithms have received traction in vehicular networks owing to strict…

Information Theory · Computer Science 2022-04-04 Suraj Sajeev , Manish Bansal , Sriraam S , J. Harshan , Huzur Saran , Yih-Chun Hu

This paper studies the sparse identification problem of unknown sparse parameter vectors in stochastic dynamic systems. Firstly, a novel sparse identification algorithm is proposed, which can generate sparse estimates based on least squares…

Optimization and Control · Mathematics 2024-04-02 Ziming Wang , Xinghua Zhu

Company financial risks pose a significant threat to personal wealth and national economic stability, stimulating increasing attention towards the development of efficient andtimely methods for monitoring them. Current approaches tend to…

Computational Engineering, Finance, and Science · Computer Science 2025-03-11 Huaming Du , Lei Yuan , Qing Yang , Xingyan Chen , Yu Zhao , Han Ji , Fuzhen Zhuang , Carl Yang , Gang Kou

Supply chain disruptions constitute an often underestimated risk for financial stability. As in financial networks, systemic risks in production networks arises when the local failure of one firm impacts the production of others and might…

Statistical Finance · Quantitative Finance 2025-02-25 Jan Fialkowski , Christian Diem , András Borsos , Stefan Thurner

Understanding how information flows through the financial networks is important, especially during times of market turbulence. Unlike traditional assumptions where information travels along the shortest paths, real-world diffusion processes…

Statistical Finance · Quantitative Finance 2025-09-12 Pawanesh Pawanesh , Charu Sharma , Niteesh Sahni

We consider structure discovery of undirected graphical models from observational data. Inferring likely structures from few examples is a complex task often requiring the formulation of priors and sophisticated inference procedures.…

Machine Learning · Statistics 2017-08-04 Eugene Belilovsky , Kyle Kastner , Gaël Varoquaux , Matthew Blaschko

In this brief review, we critically examine the recent work done on correlation-based networks in financial systems. The structure of empirical correlation matrices constructed from the financial market data changes as the individual stock…

Computational Finance · Quantitative Finance 2020-04-21 Vishwas Kukreti , Hirdesh K. Pharasi , Priya Gupta , Sunil Kumar

Risk assessment is a substantial problem for financial institutions that has been extensively studied both for its methodological richness and its various practical applications. With the expansion of inclusive finance, recent attentions…

Risk Management · Quantitative Finance 2022-05-03 Zheng Zhang , Yingsheng Ji , Jiachen Shen , Xi Zhang , Guangwen Yang
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