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Distributed models to forecast the spatial and temporal occurrence of rainfall-induced shallow landslides are based on deterministic laws. These models extend spatially the static stability models adopted in geotechnical engineering, and…

Geophysics · Physics 2014-03-17 S. Raia , M. Alvioli , M. Rossi , R. L. Baum , J. W. Godt , F. Guzzetti

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

Optimization and Control · Mathematics 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

We consider the problem of quantifying temporal coordination between multiple high-dimensional responses. We introduce a family of multi-way stochastic blockmodels suited for this problem, which avoids preprocessing steps such as binning…

Applications · Statistics 2014-01-14 Edoardo M. Airoldi , Xiaopei Wang , Xiaodong Lin

In many applications of practical interest, solutions of partial differential equation models arise as critical points of an underlying (energy) functional. If such solutions are saddle points, rather than being maxima or minima, then the…

Numerical Analysis · Mathematics 2020-09-07 Pascal Heid , Thomas P. Wihler

This paper proposes Distributed Model Predictive Covariance Steering (DiMPCS) for multi-agent control under stochastic uncertainty. The scope of our approach is to blend covariance steering theory, distributed optimization and model…

Robotics · Computer Science 2025-01-28 Augustinos D. Saravanos , Isin M. Balci , Efstathios Bakolas , Evangelos A. Theodorou

This work introduces a stochastic hierarchical optimization framework inspired by Sloppy Model theory for the efficient calibration of physical models. Central to this method is the use of a reduced Hessian approximation, which identifies…

Machine Learning · Computer Science 2026-02-06 José Afonso , Vasco Guerra , Pedro Viegas

This work continues a line of works on developing partially explicit methods for multiscale problems. In our previous works, we have considered linear multiscale problems, where the spatial heterogeneities are at subgrid level and are not…

Numerical Analysis · Mathematics 2021-08-31 Eric T. Chung , Yalchin Efendiev , Wing Tat Leung , Wenyuan Li

This paper presents a novel approach to the joint optimization of job scheduling and data allocation in grid computing environments. We formulate this joint optimization problem as a mixed integer quadratically constrained program. To…

We present approaches for the study of fluid-structure interactions subject to thermal fluctuations. A mixed mechanical description is utilized combining Eulerian and Lagrangian reference frames. We establish general conditions for…

Soft Condensed Matter · Physics 2023-02-28 Paul J. Atzberger

This study proposes and analyses a novel higher-order, structure preserving discretization method for inviscid barotropic flows from a Lagrangian perspective. The method is built on a multisymplectic variational principle discretized over a…

Numerical Analysis · Mathematics 2025-12-10 Mukthesh Mahadev , Marc Gerritsma

The effects of personnel scheduling on the quality of care and working conditions for healthcare personnel have been thoroughly documented. However, the ever-present demand and large variation of constraints make healthcare scheduling…

Artificial Intelligence · Computer Science 2025-06-03 Alvin Combrink , Stephie Do , Kristofer Bengtsson , Sabino Francesco Roselli , Martin Fabian

This paper proposes a model predictive controller for discrete-time linear systems with additive, possibly unbounded, stochastic disturbances and subject to chance constraints. By computing a polytopic probabilistic positively invariant set…

Optimization and Control · Mathematics 2024-09-23 Kai Wang , Kiet Tuan Hoang , Sébastien Gros

A current trend in networking and cloud computing is to provide compute resources at widely dispersed places; this is exemplified by developments such as Network Function Virtualisation. This paves the way for wide-area service deployments…

Networking and Internet Architecture · Computer Science 2016-08-31 Matthias Keller , Holger Karl

This paper considers deployment problems where a mobile robotic network must optimize its configuration in a distributed way in order to minimize a steady-state cost function that depends on the spatial distribution of certain probabilistic…

Optimization and Control · Mathematics 2012-08-20 Jerome Le Ny , George J. Pappas

This work considers the problem of optimal lane changing in a structured multi-agent road environment. A novel motion planning algorithm that can capture long-horizon dependencies as well as short-horizon dynamics is presented. Pivotal to…

Robotics · Computer Science 2024-05-07 Rudolf Reiter , Armin Nurkanovic , Daniele Bernadini , Moritz Diehl , Alberto Bemporad

Three algorithms are developed for uncertainty quantification in modeling coupled Stokes and Darcy flows. The porous media may consist of multiple regions with different properties. The permeability is modeled as a non-stationary stochastic…

Numerical Analysis · Mathematics 2019-03-05 Ilona Ambartsumyan , Eldar Khattatov , ChangQing Wang , Ivan Yotov

Estimation of nonlinear dynamic models from data poses many challenges, including model instability and non-convexity of long-term simulation fidelity. Recently Lagrangian relaxation has been proposed as a method to approximate simulation…

Systems and Control · Computer Science 2018-10-12 Jack Umenberger , Ian R. Manchester

The paper proposes an approach for the efficient model order reduction of dynamic contact problems in linear elasticity. Instead of the augmented Lagrangian method that is widely used for mechanical contact problems, we prefer here the…

Numerical Analysis · Mathematics 2021-07-27 Diana Manvelyan , Bernd Simeon , Utz Wever

This work presents a new Distributionally Robust Optimization approach, using $p$-Wasserstein metrics, to analyze a stochastic program in a general context. The ambiguity set in this approach depends on the decision variable and is…

Optimization and Control · Mathematics 2023-03-08 Diego Fonseca , Mauricio Junca

This paper deals with the problem of providing a data-driven solution to the local stabilization of linear systems subject to input saturation. After presenting a model-based solution to this well-studied problem, a systematic method to…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Alexandre Seuret , Sophie Tarbouriech
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