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We consider the effect of recovery rates on a pool of credit assets. We allow the recovery rate to depend on the defaults in a general way. Using the theory of large deviations, we study the structure of losses in a pool consisting of a…

Risk Management · Quantitative Finance 2011-11-23 Konstantinos Spiliopoulos , Richard B. Sowers

Distributed Systems involve two or more computer systems which may be situated at geographically distinct locations and are connected by a communication network. Due to failures in the communication link, faults arise which may make the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-20 Poorva Kulkarni , Varsha Deshpande , Latika Sarna , Sumedha Shenolikar , Supriya Kelkar

Changes in collateralization have been implicated in significant default (or near-default) events during the financial crisis, most notably with AIG. We have developed a framework for quantifying this effect based on moving between…

Risk Management · Quantitative Finance 2013-02-20 Chris Kenyon , Andrew Green

Distribution learning finds probability density functions from a set of data samples, whereas clustering aims to group similar data points to form clusters. Although there are deep clustering methods that employ distribution learning…

Machine Learning · Computer Science 2024-08-08 Guanfang Dong , Zijie Tan , Chenqiu Zhao , Anup Basu

We investigate the impact of available information on the estimation of the default probability within a generalized structural model for credit risk. The traditional structural model where default is triggered when the value of the firm's…

Pricing of Securities · Quantitative Finance 2019-11-19 Imke Redeker , Ralf Wunderlich

Since the Great Financial Crisis (GFC), the use of stress tests as a tool for assessing the resilience of financial institutions to adverse financial and economic developments has increased significantly. One key part in such exercises is…

Econometrics · Economics 2022-02-08 Martin Guth

We consider the problem of concurrent portfolio losses in two non-overlapping credit portfolios. In order to explore the full statistical dependence structure of such portfolio losses, we estimate their empirical pairwise copulas. Instead…

Mathematical Finance · Quantitative Finance 2017-01-24 Joachim Sicking , Thomas Guhr , Rudi Schäfer

We consider a generalized version of the correlation clustering problem, defined as follows. Given a complete graph $G$ whose edges are labeled with $+$ or $-$, we wish to partition the graph into clusters while trying to avoid errors: $+$…

Data Structures and Algorithms · Computer Science 2016-05-25 Gregory J. Puleo , Olgica Milenkovic

In biological materials, strong binding despite an applied load force is often based on clusters of dynamic bonds that share the load. Different macroscopic behaviors have been described depending on whether the load is shared locally or…

Biological Physics · Physics 2025-09-11 Yannick Lüdemann , Stefan Klumpp , Komal Bhattacharyya

How to forecast next year's portfolio-wide credit default rate based on last year's default observations and the current score distribution? A classical approach to this problem consists of fitting a mixture of the conditional score…

Machine Learning · Statistics 2014-11-21 Dirk Tasche

This article develops the theory of risk budgeting portfolios, when we would like to impose weight constraints. It appears that the mathematical problem is more complex than the traditional risk budgeting problem. The formulation of the…

Portfolio Management · Quantitative Finance 2019-02-18 Jean-Charles Richard , Thierry Roncalli

Credit scoring is an essential tool used by global financial institutions and credit lenders for financial decision making. In this paper, we introduce a new method based on Gaussian Mixture Model (GMM) to forecast the probability of…

General Economics · Economics 2020-11-17 Hamidreza Arian , Seyed Mohammad Sina Seyfi , Azin Sharifi

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

We propose a new deep learning approach for the quantification of name concentration risk in loan portfolios. Our approach is tailored for small portfolios and allows for both an actuarial as well as a mark-to-market definition of loss. The…

Risk Management · Quantitative Finance 2024-11-19 Eva Lütkebohmert , Julian Sester

Banks and financial institutions all over the world manage portfolios containing tens of thousands of customers. Not all customers are high credit-worthy, and many possess varying degrees of risk to the Bank or financial institutions that…

Applications · Statistics 2021-09-17 Dominic Joseph

In diverse fields ranging from finance to omics, it is increasingly common that data is distributed and with multiple individual sources (referred to as ``clients'' in some studies). Integrating raw data, although powerful, is often not…

Methodology · Statistics 2022-11-08 Yuanxing Chen , Qingzhao Zhang , Shuangge Ma , Kuangnan Fang

In the past few decades considerable effort has been expended in characterizing and modeling financial time series. A number of stylized facts have been identified, and volatility clustering or the tendency toward persistence has emerged as…

Physics and Society · Physics 2008-12-02 Kan Chen , C. Jayaprakash , Baosheng Yuan

We introduce a new clustering method for the classification of functional data sets by their probabilistic law, that is, a procedure that aims to assign data sets to the same cluster if and only if the data were generated with the same…

Methodology · Statistics 2023-12-29 Antonio Galves , Fernando Najman , Marcela Svarc , Claudia D. Vargas

Threat modeling plays a critical role in the identification and mitigation of security risks; however, manual approaches are often labor intensive and prone to error. This paper investigates the automation of software threat modeling…

Cryptography and Security · Computer Science 2025-10-31 Nicholas Pecka , Lotfi Ben Othmane , Renee Bryce

In this paper, we investigate the credit risk in the loan portfolio of banks following different business models. We develop a data-driven methodology for identifying the business models of the 365 largest European banks that is suitable…

Applications · Statistics 2021-04-09 Matteo Farnè , Angelos T. Vouldis