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Valuing corporate bonds in systemic economies is challenging due to intricate webs of inter-institutional exposures. When a bank defaults, cascading losses propagate through the network, with payments determined by a system of fixed-point…

Computational Finance · Quantitative Finance 2026-02-16 Dohyun Ahn , Agostino Capponi

The dynamics of cellular chemical reactions are variable due to stochastic noise from intrinsic and extrinsic sources. The intrinsic noise is the intracellular fluctuations of molecular copy numbers caused by the probabilistic encounter of…

Systems and Control · Electrical Eng. & Systems 2023-01-13 Yuta Sakurai , Yutaka Hori

We consider deterministic chaotic models of vacuum fluctuations on a small (quantum gravity) scale. As a suitable small-scale dynamics, nonlinear versions of strings, so-called `chaotic strings' are introduced. These can be used to provide…

High Energy Physics - Theory · Physics 2016-11-23 Christian Beck

This paper is concerned with the quantized consensus problem for uncertain nonlinear multi-agent systems under data-rate constraints and Denial-of-Service (DoS) attacks. The agents are modeled in strict-feedback form with unknown nonlinear…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Maopeng Ran , Shuai Feng , Juncheng Li , Lihua Xie

Uncertainty quantification (UQ) is essential for assessing the reliability of Earth observation (EO) products. However, the extensive use of machine learning models in EO introduces an additional layer of complexity, as those models…

Machine Learning · Computer Science 2024-12-10 Yuanyuan Wang , Qian Song , Dawood Wasif , Muhammad Shahzad , Christoph Koller , Jonathan Bamber , Xiao Xiang Zhu

We propose a model for the credit markets in which the random default times of bonds are assumed to be given as functions of one or more independent "market factors". Market participants are assumed to have partial information about each of…

Pricing of Securities · Quantitative Finance 2012-01-31 Dorje C. Brody , Lane P. Hughston , Andrea Macrina

The Collaboratory for the Study of Earthquake Predictability (CSEP) aims to prospectively test time-dependent earthquake probability forecasts on their consistency with observations. To compete, time-dependent seismicity models are…

Geophysics · Physics 2015-05-13 M. J. Werner , D. Sornette

We present MoCheQoS, a bounded model checker to analyse (QoS) properties of message-passing systems. Building on the dynamic temporal logic, the choreographic model, and the bounded model checking algorithm defined in our ICTAC 2023 paper,…

Software Engineering · Computer Science 2024-07-18 Carlos G. Lopez Pombo , Agustín E. Martinez Suñé , Emilio Tuosto

Information asymmetry in financial markets, often amplified by strategically crafted corporate narratives, undermines the effectiveness of conventional textual analysis. We propose a novel multimodal framework for financial risk assessment…

Machine Learning · Computer Science 2025-08-27 Xiaoliang Chen , Xin Yu , Le Chang , Teng Jing , Jiashuai He , Ze Wang , Yangjun Luo , Xingyu Chen , Jiayue Liang , Yuchen Wang , Jiaying Xie

Despite their importance for assessing reliability of predictions, uncertainty quantification (UQ) measures for machine learning models have only recently begun to be rigorously characterized. One prominent issue is the curse of…

Machine Learning · Statistics 2023-07-27 Liam Hodgkinson , Chris van der Heide , Fred Roosta , Michael W. Mahoney

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

Numerical Analysis · Mathematics 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

Uncertainty is inherent in modern engineered systems, including cyber-physical systems, autonomous systems, and large-scale software-intensive infrastructures (such as microservice-based systems) operating in dynamic and partially…

Software Engineering · Computer Science 2026-02-26 Man Zhang , Yunyang Li , Tao Yue

Complex engineered systems require coordinated design choices across heterogeneous components under multiple conflicting objectives and uncertain specifications. Monotone co-design provides a compositional framework for such problems by…

Optimization and Control · Mathematics 2026-03-20 Yujun Huang , Gioele Zardini

We consider a two-factor model for the valuation of a non callable defaultable bond which pays coupons at certain given dates. The model under consideration is the Jump to Default Constant Elasticity of Variance (JDCEV) model. The JDCEV…

Computational Finance · Quantitative Finance 2019-05-06 M. C. Calvo-Garrido , S. Diop , A. Pascucci , C. Vázquez

Equity options are known to be notoriously difficult to price accurately, and even with the development of established mathematical models there are many assumptions that must be made about the underlying processes driving market movements.…

Economics · Quantitative Finance 2017-08-24 Adam Wu

Among the many approaches for reasoning about degrees of belief in the presence of noisy sensing and acting, the logical account proposed by Bacchus, Halpern, and Levesque is perhaps the most expressive. While their formalism is quite…

Artificial Intelligence · Computer Science 2018-09-17 Vaishak Belle , Hector J. Levesque

We study the effect of parameters uncertainties on a stochastic diffusion model, in particular the impact on the pricing of contingent claims, thanks to Dirichlet Forms methods. We apply recent techniques, developed by Bouleau, to hedging…

Pricing of Securities · Quantitative Finance 2010-01-29 Simone Scotti

Jointly extracting entity pairs and their relations is challenging when working on distantly-supervised data with ambiguous or noisy labels. To mitigate such impact, we propose uncertainty-aware bootstrap learning, which is motivated by the…

Computation and Language · Computer Science 2023-06-12 Yufei Li , Xiao Yu , Yanchi Liu , Haifeng Chen , Cong Liu

We develop further the spot volatility estimator introduced in Hoffmann, Munk and Schmidt-Hieber (2012) from a practical point of view and make it useful for the analysis of high-frequency financial data. In a first part, we adjust the…

Applications · Statistics 2013-09-25 Till Sabel , Johannes Schmidt-Hieber , Axel Munk

We present a model describing the competition between information transmission and decision making in financial markets. The solution of this simple model is recalled, and possible variations discussed. It is shown numerically that despite…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 R. D'Hulst , G. J. Rodgers
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