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Much of our understanding of ecological and evolutionary mechanisms derives from analysis of low-dimensional models: with few interacting species, or few axes defining "fitness". It is not always clear to what extent the intuition derived…

Populations and Evolution · Quantitative Biology 2018-02-14 Mikhail Tikhonov , Remi Monasson

In this article, a failure mode dependent and thermodynamically consistent continuum damage model with polynomial-based damage hardening functions is proposed for continuum damage modeling of laminated composite panels. The damage model…

Computational Physics · Physics 2025-09-24 Shubham Rai , Badri Prasad Patel

Many high-dimensional optimisation problems exhibit rich geometric structures in their set of minimisers, often forming smooth manifolds due to over-parametrisation or symmetries. When this structure is known, at least locally, it can be…

Optimization and Control · Mathematics 2025-10-27 Evan Markou , Thalaiyasingam Ajanthan , Stephen Gould

Prediction models are often employed in estimating parameters of optimization models. Despite the fact that in an end-to-end view, the real goal is to achieve good optimization performance, the prediction performance is measured on its own.…

Optimization and Control · Mathematics 2021-01-01 Nam Ho-Nguyen , Fatma Kılınç-Karzan

Optimal experimental design (OED) is the general formalism of sensor placement and decisions about the data collection strategy for engineered or natural experiments. This approach is prevalent in many critical fields such as battery…

Optimization and Control · Mathematics 2022-06-28 Ahmed Attia , Emil Constantinescu

Engineering design risks could cause unaffordable losses, and thus risk assessment plays a critical role in engineering design. On the other hand, the high complexity of modern engineering designs makes it difficult to assess risks…

Computational Engineering, Finance, and Science · Computer Science 2025-01-28 Guan Wang , Yimin Feng , Rongbin Guo , Yusheng Liu , Qiang Zou

Damage cost curves -- relating the typical damage of a natural hazard to its physical magnitude -- represent an indispensable ingredient necessary for climate change impact assessments. Combining such curves with the occurrence probability…

Physics and Society · Physics 2020-10-16 Diego Rybski , Boris F. Prahl , Markus Boettle , Jürgen P. Kropp

Fault Trees represent an essential tool in the reliability and risk assessment of engineering systems. By decomposing the structure of the system into Boolean function, Fault Trees allow the quantitative and qualitative analysis of the…

Computation · Statistics 2024-04-10 Gabriel San Martín Silva , Enrique López Droguett

In the multivariate setting, estimates of extremal risk measures are important in many contexts, such as environmental planning and structural engineering. In this paper, we propose new estimation methods for extremal bivariate return…

Methodology · Statistics 2022-10-11 C. J. R. Murphy-Barltrop , J. L. Wadsworth , E. F. Eastoe

Single- and multi-layer complex networks have been proven as a powerful tool to study the dynamics within social, technological,or natural systems. An often observed common goal there is to optimize these systems for specific purposes by…

Physics and Society · Physics 2021-02-11 Tanja Holstein , Marc Wiedermann , Jürgen Kurths

In many contexts the modal properties of a structure change, either due to the impact of a changing environment, fatigue, or due to the presence of structural damage. For example during flight, an aircraft's modal properties are known to…

Machine Learning · Computer Science 2018-12-12 Prasad Cheema , Mehrisadat M. Alamdari , Gareth A. Vio

An important issue in additive manufacturing is the reliability and reproducibility of parts. One major problem in achieving this are uncontrolled local variations in the obtained material properties which arise in the complex manufacturing…

Optimization and Control · Mathematics 2017-07-18 Jannis Greifenstein , Michael Stingl

We introduce an algorithm to locate contours of functions that are expensive to evaluate. The problem of locating contours arises in many applications, including classification, constrained optimization, and performance analysis of…

Machine Learning · Statistics 2018-12-20 Alexandre N. Marques , Remi R. Lam , Karen E. Willcox

This paper is concerned with the properties of the sets of strategic measures induced by admissible team policies in decentralized stochastic control and the convexity properties in dynamic team problems. To facilitate a convex analytical…

Optimization and Control · Mathematics 2016-11-01 Serdar Yüksel , Naci Saldi

Identifying robust designs for multi-energy systems is computationally challenging. As rigorous approaches are often computationally intractable, heuristics are employed to generate candidate designs. One example is the feasibility…

Optimization and Control · Mathematics 2026-05-14 Moritz Wedemeyer , Alexander Mitsos , Manuel Dahmen

The issue of model risk in default modeling has been known since inception of the Academic literature in the field. However, a rigorous treatment requires a description of all the possible models, and a measure of the distance between a…

Mathematical Finance · Quantitative Finance 2019-06-17 Roberto Fontana , Elisa Luciano , Patrizia Semeraro

It is conjectured that quantum computers are able to solve certain problems more quickly than any deterministic or probabilistic computer. A quantum computer exploits the rules of quantum mechanics to speed up computations. However, it is a…

Information Theory · Computer Science 2009-08-15 Salah A. Aly

One of the crucial problems in mathematical finance is to mitigate the risk of a financial position by setting up hedging positions of eligible financial securities. This leads to focusing on set-valued maps associating to any financial…

Mathematical Finance · Quantitative Finance 2017-11-02 Michel Baes , Cosimo Munari

We introduce a methodology to study the possible matter flows of an ecosystem defined by observational biomass data and realistic biological constraints. The flows belong to a polyhedron in a multi dimensional space making statistical…

Adaptation and Self-Organizing Systems · Physics 2021-02-04 Jean-Guy Caputo , Valerie Girardin , Arnaud Knippel , Hieu Nguyen , Nathalie Niquil , Quentin Nogues

Contextual stochastic optimization is an advanced methodology to model uncertainty in the presence of contextual information during decision planning processes. Although classical methodologies focus on minimizing the expectation of a…

Optimization and Control · Mathematics 2025-11-24 Man Yiu Tsang , Tony Sit , Hoi Ying Wong