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We develop a discrete-time version of the blended dynamics theorem for the use of designing distributed computation algorithms. The blended dynamics theorem enables to predict the behavior of heterogeneous multi-agent systems. Therefore,…

Systems and Control · Electrical Eng. & Systems 2023-12-01 Jeong Woo Kim , Jin Gyu Lee , Donggil Lee , Hyungbo Shim

Making decisions freely presupposes that there is some indeterminacy in the environment and in the decision making engine. The former is reflected on the behavioral changes due to communicating: few changes indicate rigid environments;…

Artificial Intelligence · Computer Science 2020-09-23 Luis A. Pineda

Optimizing decision problems under uncertainty can be done using a variety of solution methods. Soft computing and heuristic approaches tend to be powerful for solving such problems. In this overview article, we survey Evolutionary…

Neural and Evolutionary Computing · Computer Science 2014-01-21 Ronald Hochreiter

In this paper, we investigate discrete-time decision-making problems in uncertain systems with partially observed states. We consider a non-stochastic model, where uncontrolled disturbances acting on the system take values in bounded sets…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Aditya Dave , Nishanth Venkatesh , Andreas A. Malikopoulos

Many real-world optimization problems involve uncertain parameters with probability distributions that can be estimated using contextual feature information. In contrast to the standard approach of first estimating the distribution of…

Machine Learning · Statistics 2023-08-03 Meng Qi , Paul Grigas , Zuo-Jun Max Shen

Decision formation in perceptual decision-making involves sensory evidence accumulation instantiated by the temporal integration of an internal decision variable towards some decision criterion or threshold, as described by sequential…

Neurons and Cognition · Quantitative Biology 2024-10-15 Brendan Lenfesty , Saugat Bhattacharyya , KongFatt Wong-Lin

Is it possible to understand the intricacies of a dynamical system not solely from its input/output pattern, but also by observing the behavior of other systems within the same class? This central question drives the study presented in this…

Systems and Control · Electrical Eng. & Systems 2023-12-21 Marco Forgione , Filippo Pura , Dario Piga

Efficiently estimating system dynamics from data is essential for minimizing data collection costs and improving model performance. This work addresses the challenge of designing future control inputs to maximize information gain, thereby…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Joshua Ott , Mykel J. Kochenderfer , Stephen Boyd

Network models provide an efficient way to represent many real life problems mathematically. In the last few decades, the field of network optimization has witnessed an upsurge of interest among researchers and practitioners. The network…

Artificial Intelligence · Computer Science 2021-03-16 Saibal Majumder

In this study, we consider two classes of multicriteria two-stage stochastic programs in finite probability spaces with multivariate risk constraints. The first-stage problem features a multivariate stochastic benchmarking constraint based…

Optimization and Control · Mathematics 2020-06-02 Nilay Noyan , Merve Merakli , Simge Kucukyavuz

Multi-stage decision-making under uncertainty, where decisions are taken under sequentially revealing uncertain problem parameters, is often essential to faithfully model managerial problems. Given the significant computational challenges…

Optimization and Control · Mathematics 2026-04-30 Simon Thomä , Maximilian Schiffer , Wolfram Wiesemann

Two-stage stochastic programs with binary recourse are challenging to solve and efficient solution methods for such problems have been limited. In this work, we generalize an existing binary decision diagram-based (BDD-based) approach of…

Optimization and Control · Mathematics 2023-11-16 Moira MacNeil , Merve Bodur

Variational inequalities are modelling tools used to capture a variety of decision-making problems arising in mathematical optimization, operations research, game theory. The scenario approach is a set of techniques developed to tackle…

Optimization and Control · Mathematics 2020-03-17 Dario Paccagnan , Marco C. Campi

Indirect inference requires simulating realisations of endogenous variables from the model under study. When the endogenous variables are discontinuous functions of the model parameters, the resulting indirect inference criterion function…

Economics · Quantitative Finance 2019-07-11 David T. Frazier , Tatsushi Oka , Dan Zhu

This paper presents a distributed stochastic model predictive control (SMPC) approach for large-scale linear systems with private and common uncertainties in a plug-and-play framework. Using the so-called scenario approach, the centralized…

Optimization and Control · Mathematics 2019-01-09 V. Rostampour , T. Keviczky

We introduce a general framework for Markov decision problems under model uncertainty in a discrete-time infinite horizon setting. By providing a dynamic programming principle we obtain a local-to-global paradigm, namely solving a local,…

Optimization and Control · Mathematics 2023-01-06 Ariel Neufeld , Julian Sester , Mario Šikić

The coordinated and efficient distribution of limited resources by individual decisions is a fundamental, unsolved problem. When individuals compete for road capacities, time, space, money, goods, etc., they normally make decisions based on…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Martin Schoenhof , Daniel Kern

Decision circuits have been developed to perform efficient evaluation of influence diagrams [Bhattacharjya and Shachter, 2007], building on the advances in arithmetic circuits for belief network inference [Darwiche,2003]. In the process of…

Artificial Intelligence · Computer Science 2012-06-18 Debarun Bhattacharjya , Ross D. Shachter

Atmospheric models used for weather and climate prediction are traditionally formulated in a deterministic manner. In other words, given a particular state of the resolved scale variables, the most likely forcing from the sub-grid scale…

Machine Learning · Computer Science 2024-02-16 Hannah M. Christensen , Salah Kouhen , Greta Miller , Raghul Parthipan

It is known that statistical model selection as well as identification of dynamical equations from available data are both very challenging tasks. Physical systems behave according to their underlying dynamical equations which, in turn, can…

Mathematical Physics · Physics 2017-10-11 Sean Alan Ali , Carlo Cafaro