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The interest in "Physically Unclonable Function"-devices has increased rapidly over the last few years, as they have several interesting properties for system security related applications like, for example, the management of cryptographic…

Applications · Statistics 2014-09-30 Benjamin Hackl , Daniel Kurz , Clemens Heuberger , Jürgen Pilz , Martin Deutschmann

Measuring the corporate default risk is broadly important in economics and finance. Quantitative methods have been developed to predictively assess future corporate default probabilities. However, as a more difficult yet crucial problem,…

Applications · Statistics 2018-04-26 Miao Yuan , Cheng Yong Tang , Yili Hong , Jian Yang

Uncertainty quantification approaches have been more critical in large language models (LLMs), particularly high-risk applications requiring reliable outputs. However, traditional methods for uncertainty quantification, such as…

Artificial Intelligence · Computer Science 2024-07-01 Ferhat Ozgur Catak , Murat Kuzlu

Noisy Intermediate-Scale Quantum computers are expected to be available this year. It is proposed to exploit such a device for decision making under uncertainty. The probabilistic character of quantum mechanics reflects this uncertainty.…

Quantum Physics · Physics 2019-11-15 H. W. L. Naus

In this paper we introduce a sublinear conditional expectation with respect to a family of possibly nondominated probability measures on a progressively enlarged filtration. In this way, we extend the classic reduced-form setting for credit…

Mathematical Finance · Quantitative Finance 2019-08-02 Francesca Biagini , Yinglin Zhang

We present a model-agnostic algorithm for generating post-hoc explanations and uncertainty intervals for a machine learning model when only a static sample of inputs and outputs from the model is available, rather than direct access to the…

Machine Learning · Computer Science 2023-06-27 Surin Ahn , Justin Grana , Yafet Tamene , Kristian Holsheimer

We introduce a Vasicek-type short rate model which has two additional parameters representing memory effect. This model presents better results in yield curve fitting than the classical Vasicek model. We derive closed-form expressions for…

Probability · Mathematics 2015-08-04 Akihiko Inoue , Shingo Moriuchi , Yusuke Nakamura

The credit crisis of 2007 and 2008 has thrown much focus on the models used to price mortgage backed securities. Many institutions have relied heavily on the credit ratings provided by credit agency. The relationships between management of…

Pricing of Securities · Quantitative Finance 2012-01-11 K. Rajaratnam

We study the effects of noise cross-correlations on the steady states of driven, nonequilibrium systems, which are described by two stochastically driven dynamical variables, in one dimension. We use a well-known stochastically driven…

Statistical Mechanics · Physics 2023-08-24 Sudip Mukherjee

The objective of this study is to analyze the response of firm value, represented by the Tobin's Q (Q) for a group of twelve U.S. durable goods producers to uncertainties in the US Economy. The results, based on an estimated panel quantile…

Econometrics · Economics 2025-06-10 Bahram Adrangi , Saman Hatamerad , Madhuparna Kolay , Kambiz Raffiee

A stream of unstructured news can be a valuable source of hidden relations between different entities, such as financial institutions, countries, or persons. We present an approach to continuously collect online news, recognize relevant…

When implementing prediction models for high-stakes real-world applications such as medicine, finance, and autonomous systems, quantifying prediction uncertainty is critical for effective risk management. Traditional approaches to…

Machine Learning · Statistics 2025-04-29 Junting Ren , Armin Schwartzman

In this paper, we develop a method to model and estimate several, _dependent_ count processes, using granular data. Specifically, we develop a multivariate Cox process with shot noise intensities to jointly model the arrival process of…

Risk Management · Quantitative Finance 2021-08-19 Benjamin Avanzi , Gregory Clive Taylor , Bernard Wong , Xinda Yang

Artificial neural networks will always make a prediction, even when completely uncertain and regardless of the consequences. This obliviousness of uncertainty is a major obstacle towards their adoption in practice. Techniques exist,…

Machine Learning · Computer Science 2021-05-13 Hans Weytjens , Jochen De Weerdt

A key factor in ensuring the accuracy of computer simulations that model physical systems is the proper calibration of their parameters based on real-world observations or experimental data. Inevitably, uncertainties arise, and Bayesian…

Computational Engineering, Finance, and Science · Computer Science 2026-02-25 Daniel Andrés Arcones , Martin Weiser , Phaedon-Stelios Koutsourelakis , Jörg F. Unger

In this paper, we consider discrete-time non-linear stochastic dynamical systems with additive process noise in which both the initial state and noise distributions are uncertain. Our goal is to quantify how the uncertainty in these…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Steven Adams , Eduardo Figueiredo , Luca Laurenti

Rare events, and more general risk-sensitive quantities-of-interest (QoIs), are significantly impacted by uncertainty in the tail behavior of a distribution. Uncertainty in the tail can take many different forms, each of which leads to a…

Probability · Mathematics 2019-11-22 Jeremiah Birrell , Paul Dupuis , Markos A. Katsoulakis , Luc Rey-Bellet , Jie Wang

Large language models (LLMs) are widely applied to data analytics over documents, yet direct reasoning over long, noisy documents remains brittle and error-prone. Hence, we study document question answering (QA) that consolidates dispersed…

Computation and Language · Computer Science 2026-04-01 Zhuowen Liang , Xiaotian Lin , Zhengxuan Zhang , Yuyu Luo , Haixun Wang , Nan Tang

In this paper we extend the reduced-form setting under model uncertainty introduced in [5] to include intensities following an affine process under parameter uncertainty, as defined in [15]. This framework allows to introduce a longevity…

Mathematical Finance · Quantitative Finance 2020-07-01 Francesca Biagini , Katharina Oberpriller

We study the risk assessment of uncertain cash flows in terms of dynamic convex risk measures for processes as introduced in Cheridito, Delbaen, and Kupper (2006). These risk measures take into account not only the amounts but also the…

Risk Management · Quantitative Finance 2010-02-22 Beatrice Acciaio , Hans Foellmer , Irina Penner
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