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An unconventional approach for optimal stopping under model ambiguity is introduced. Besides ambiguity itself, we take into account how ambiguity-averse an agent is. This inclusion of ambiguity attitude, via an $\alpha$-maxmin nonlinear…

Mathematical Finance · Quantitative Finance 2021-07-15 Yu-Jui Huang , Xiang Yu

To answer questions of "causes of effects", the probability of necessity is introduced for assessing whether or not an observed outcome was caused by an earlier treatment. However, the statistical inference for probability of necessity is…

Methodology · Statistics 2025-04-14 Ping Zhang , Ruoyu Wang , Wang Miao

We consider a logistic differential equation subject to impulsive delayed harvesting, where the deduction information is a function of the population size at the time of one of the previous impulses. A close connection to the dynamics of…

Dynamical Systems · Mathematics 2022-10-13 Jennifer Lawson , Elena Braverman

In an instrumental variable model, the score statistic can be bounded for any alternative in parts of the parameter space. These regions involve a constraint on the first-stage regression coefficients and the reduced-form covariance matrix.…

Statistics Theory · Mathematics 2021-09-13 Marcelo J. Moreira , Geert Ridder

Measuring the contribution of a bank or an insurance company to overall systemic risk is a key concern, particularly in the aftermath of the 2007--2009 financial crisis and the 2020 downturn. In this paper, we derive worst-case and…

Risk Management · Quantitative Finance 2025-11-18 Jinghui Chen , Edward Furman , X. Sheldon Lin

According to recent results, convergence in a prespecified or prescribed finite time can be achieved under extreme model uncertainty if control is applied continuously over time. This paper shows that this extreme amount of uncertainty…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Hernan Haimovich , Rodrigo Aldana-Lopez , Richard Seeber , David Gomez-Gutierrez

Inexact methods for model predictive control (MPC), such as real-time iterative schemes or time-distributed optimization, alleviate the computational burden of exact MPC by providing suboptimal solutions. While the asymptotic stability of…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

Feedback optimization has emerged as an effective strategy for steady-state optimization of dynamical systems. By exploiting models of the steady-state input-output sensitivity, methods of this type are often sample efficient, and their use…

Optimization and Control · Mathematics 2025-09-17 Kristian Lindbäck Løvland , Lars Struen Imsland , Bjarne Grimstad

For a closed-loop control system with a digital channel between the sensor and the controller, the notion of invariance entropy quantifies the smallest average rate of information transmission above which a given compact subset of the state…

Systems and Control · Electrical Eng. & Systems 2020-04-13 Mahendra Singh Tomar , Christoph Kawan , Pushpak Jagtap , Majid Zamani

In this paper we address the problem of designing an interruptible system in a setting in which $n$ problem instances, all equally important, must be solved concurrently. The system involves scheduling executions of contract algorithms…

Data Structures and Algorithms · Computer Science 2018-10-29 Spyros Angelopoulos , Alejandro Lopez-Ortiz

We address a specific but recurring problem related to sampled linear systems. In particular, we provide a numerical method for the rigorous verification of constraint satisfaction for linear continuous-time systems between sampling…

Optimization and Control · Mathematics 2016-03-30 Moritz Schulze Darup

Forecasts of product demand are essential for short- and long-term optimization of logistics and production. Thus, the most accurate prediction possible is desirable. In order to optimally train predictive models, the deviation of the…

Machine Learning · Computer Science 2020-04-23 Dominik Martin , Philipp Spitzer , Niklas Kühl

While there exist mixnets that can anonymously route large amounts of data packets with end to end latency that can be as low as a second, %making them attractive for a variety of applications, combining this level of performance with…

Cryptography and Security · Computer Science 2024-12-04 Claudia Diaz , Harry Halpin , Aggelos Kiayias

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

Computation · Statistics 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

Off-policy evaluation provides an essential tool for evaluating the effects of different policies or treatments using only observed data. When applied to high-stakes scenarios such as medical diagnosis or financial decision-making, it is…

Machine Learning · Computer Science 2020-10-30 Ziyang Tang , Yihao Feng , Na Zhang , Jian Peng , Qiang Liu

We investigate the transient times for the onset of control of steady states by time-delayed feedback. The optimization of control by minimising the transient time before control becomes effective is discussed analytically and numerically,…

Adaptation and Self-Organizing Systems · Physics 2009-12-10 Robert C. Hinz , Philipp Hövel , Eckehard Schöll

An electronic circuit realization of the logistic difference equation is presented using analog electronics. The behavior of the realized system is evaluated against computer simulations of the same. The circuit is found to exhibit the…

Chaotic Dynamics · Physics 2007-05-23 Madhekar Suneel

One of the most important empirical findings in microeconometrics is the pervasiveness of heterogeneity in economic behaviour (cf. Heckman 2001). This paper shows that cumulative distribution functions and quantiles of the nonparametric…

Econometrics · Economics 2020-05-19 Juan Carlos Escanciano

We study the problem of testing \emph{conditional independence} for discrete distributions. Specifically, given samples from a discrete random variable $(X, Y, Z)$ on domain $[\ell_1]\times[\ell_2] \times [n]$, we want to distinguish, with…

Data Structures and Algorithms · Computer Science 2018-07-03 Clément L. Canonne , Ilias Diakonikolas , Daniel M. Kane , Alistair Stewart

Through a straightforward Bayesian approach we show that under some general conditions a maximum running time, namely the number of discrete steps performed by a computer program during its execution, can be defined such that the…

History and Overview · Mathematics 2007-05-23 Germano D'Abramo
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