Results 11 to 20 of about 592,772 (239)

Practical challenges in data‐driven interpolation: Dealing with noise, enforcing stability, and computing realizations

International Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley   +1 more source

Data‐driven performance metrics for neural network learning

International Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri, Mauro Gaggero, Marcello Sanguineti   +2 more
wiley   +1 more source

Limit Laws for Exponential Families [PDF]

Bernoulli, 1999
For a real random variable X with distribution function F , define Λ :={λ∈ℝ:K(λ):=rmErme λ X 0 and b λ , and in this case either G is a Gaussian distribution or G has a finite lower end-point y 0 =inf{G>0} and G (y-y 0) is a gamma distribution. Similarly, if λ ∞ is finite and does not belong to Λ then G is a Gaussian distribution or G has a finite ...
August A. Balkema, Claudia Klüppelberg, Sidney I. Resnick, Claudia Kluppelberg   +3 more
openaire   +5 more sources

Variations of Hausdorff Dimension in the Exponential Family [PDF]

, 2008
In this paper we deal with the following family of exponential maps $(f_\lambda:z\mapsto \lambda(e^z-1))_{\lambda\in [1,+\infty)}$. Denoting $d(\lambda)$ the hyperbolic dimension of $f_\lambda$.
Havard, Guillaume, Urbanski, Mariusz, Zinsmeister, Michel   +2 more
core   +4 more sources

Exponential Family Embeddings

, 2016
Word embeddings are a powerful approach for capturing semantic similarity among terms in a vocabulary. In this paper, we develop exponential family embeddings, a class of methods that extends the idea of word embeddings to other types of high-dimensional data.
Maja Rudolph, Francisco J. R. Ruiz, David M. Blei, Stephan Mandt   +3 more
openaire   +4 more sources

Exponential Families with External Parameters

Entropy, 2022
In this paper we introduce a class of statistical models consisting of exponential families depending on additional parameters, called external parameters. The main source for these statistical models resides in the Maximum Entropy framework where we have thermal parameters, corresponding to the natural parameters of an exponential family, and ...
openaire   +3 more sources

Stationary Exponential Families [PDF]

The Annals of Statistics, 1995
A stationary exponential family is defined using transition densities which take the form of exponentiated symmetric $k$-linear forms on $\mathbf{R}^d$. Estimation is based on a mean value parametrization through a convex function on a finite-dimensional vector space. A consistency theorem and a central limit theorem are presented.
openaire   +2 more sources

Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes [PDF]

, 1998
In this paper we show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables.
Grüne, Lars, Sontag, Eduardo D., Wirth, Fabian R.   +2 more
core   +4 more sources

When does the minimum of a sample of an exponential family belong to an exponential family? [PDF]

Electronic Communications in Probability, 2016
It is well known that if $({X}_{1},...,{X}_{n})$ are i.i.d. r.v.'s taken from either the exponential distribution or the geometric one, then the distribution of $\min({X}_{1},...,{X}_{n})$ is, with a change of parameter, is also exponential or geometric, respectively. In this note we prove the following result.
Bar-Lev, Shaul K., Letac, Gérard
openaire   +2 more sources

Robust Exponential Worst Cases for Divide-et-Impera Algorithms for Parity Games [PDF]

, 2017
The McNaughton-Zielonka divide et impera algorithm is the simplest and most flexible approach available in the literature for determining the winner in a parity game.
Benerecetti, Massimo, Dell'Erba, Daniele, Mogavero, Fabio   +2 more
core   +2 more sources