Zobrazeno 1 - 10
of 225
pro vyhledávání: '"Wisniewski, Rafael"'
Stochastic convergence of discrete time Markov processes has been analysed based on a dual Lyapunov approach. Using some existing results on ergodic theory of Markov processes, it has been shown that existence of a properly subinvariant function (cou
Externí odkaz:
http://arxiv.org/abs/2402.12257
In this paper we derive a Probably Approxilmately Correct(PAC)-Bayesian error bound for linear time-invariant (LTI) stochastic dynamical systems with inputs. Such bounds are widespread in machine learning, and they are useful for characterizing the p
Externí odkaz:
http://arxiv.org/abs/2303.16816
A common approach of system identification and machine learning is to generate a model by using training data to predict the test data instances as accurate as possible. Nonetheless, concerns about data privacy are increasingly raised, but not always
Externí odkaz:
http://arxiv.org/abs/2109.11200
Autor:
Tjell, Katrine, Wisniewski, Rafael
Privacy preservation in distributed computations is an important subject as digitization and new technologies enable collection and storage of vast amounts of data, including private data belonging to individuals. To this end, there is a need for a p
Externí odkaz:
http://arxiv.org/abs/2107.00911
This work is inspired by the outbreak of COVID-19, and some of the challenges we have observed with gathering data about the disease. To this end, we aim to help collect data about citizens and the disease without risking the privacy of individuals.
Externí odkaz:
http://arxiv.org/abs/2004.14759
Autor:
Gosea, Ion Victor, Petreczky, Mihaly, Leth, John, Wisniewski, Rafael, Antoulas, Athanasios C.
The paper proposes a model reduction algorithm for linear hybrid systems, i.e., hybrid systems with externally induced discrete events, with linear continuous subsystems, and linear reset maps. The model reduction algorithm is based on balanced trunc
Externí odkaz:
http://arxiv.org/abs/2003.07954
Rational functions of total degree $l$ in n variables have a representation in the Bernstein form defined over $n$ dimensional simplex. The range of a rational function is bounded by the smallest and the largest rational Bernstein coefficients over a
Externí odkaz:
http://arxiv.org/abs/1906.11037
The stability problem of a class of nonlinear switched systems defined on compact sets with state-dependent switching is considered. Instead of the Caratheodory solutions, the general Filippov solutions are studied. This encapsulates solutions with i
Externí odkaz:
http://arxiv.org/abs/1707.09345
Publikováno v:
European Control Conference 2018
For a dynamical system, it is known that the existence of a Lyapunov-type density function, called Lyapunov density or Rantzer's density function, implies convergence of Lebesgue almost all solutions to an equilibrium. Using the duality between Frobe
Externí odkaz:
http://arxiv.org/abs/1609.07539
The paper develops a method for model reduction of bilinear control systems. It leans upon the observation that the input-output map of a bilinear system has a particularly simple Fliess series expansion. Subsequently, a model reduction algorithm is
Externí odkaz:
http://arxiv.org/abs/1605.04414