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pro vyhledávání: '"Segala, Chiara"'
We investigate the interior turnpike phenomenon for discrete-time multi-agent optimal control problems. While for continuous systems the turnpike property has been established, we focus here on first-order discretizations of such systems. It is shown
Externí odkaz:
http://arxiv.org/abs/2404.06134
Residual deep neural networks are formulated as interacting particle systems leading to a description through neural differential equations, and, in the case of large input data, through mean-field neural networks. The mean-field description allows a
Externí odkaz:
http://arxiv.org/abs/2403.08690
Feedback control synthesis for large-scale particle systems is reviewed in the framework of model predictive control (MPC). The high-dimensional character of collective dynamics hampers the performance of traditional MPC algorithms based on fast onli
Externí odkaz:
http://arxiv.org/abs/2402.15611
Autor:
Segala, Chiara
The main topic of the thesis is the synthesis of control laws for interacting agent-based dynamics and their mean-field limit. In particular, after a general introduction, in the second chapter a linearization-based approach is used for the computati
Externí odkaz:
http://hdl.handle.net/11572/349079
We study the turnpike phenomenon for optimal control problems with mean field dynamics that are obtained as the limit $N\rightarrow \infty$ of systems governed by a large number $N$ of ordinary differential equations. We show that the optimal control
Externí odkaz:
http://arxiv.org/abs/2303.02005
Kernel methods, being supported by a well-developed theory and coming with efficient algorithms, are among the most popular and successful machine learning techniques. From a mathematical point of view, these methods rest on the concept of kernels an
Externí odkaz:
http://arxiv.org/abs/2302.14446
We consider control strategies for large-scale interacting agent systems under uncertainty. The particular focus is on the design of robust controls that allow to bound the variance of the controlled system over time. To this end we consider $\mathca
Externí odkaz:
http://arxiv.org/abs/2210.01699
In this chapter, we discuss the mathematical modeling of egressing pedestrians in an unknown environment with multiple exits. We investigate different control problems to enhance the evacuation time of a crowd of agents, by few informed individuals,
Externí odkaz:
http://arxiv.org/abs/2108.12231
Akademický článek
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Autor:
Di Persio, Luca, Segala, Chiara
Publikováno v:
Modern Stochastics: Theory and Applications 2015, Vol. 2, No. 1, 67-93
The present work constitutes the second part of a two-paper project that, in particular, deals with an in-depth study of effective techniques used in econometrics in order to make accurate forecasts in the concrete framework of one of the major econo
Externí odkaz:
http://arxiv.org/abs/1506.01984