Vihola, Matti(Institute of Mathematical Statistics, 2011)
The Adaptive Metropolis (AM) algorithm is based on the symmetric random-walk Metropolis algorithm. The proposal distribution has the following time-dependent covariance matrix at step $n+1$ \[
S_n = Cov(X_1,...,X_n) + ...
Miettinen, Jari; Nordhausen, Klaus; Oja, Hannu; Taskinen, Sara(Academic Press, 2014)
In this paper we assume that the observed pp time series are linear combinations of pp latent uncorrelated weakly stationary time series. The problem is then to find an estimate for an unmixing matrix that transforms the ...
We show the existence of the local dimension of an invariant probability measure on an infinitely generated self-affine set, for almost all translations. This implies that an ergodic probability measure is exactly dimensional. ...
Sampo, Jouni; Takalo, Jouni; Siltanen, Samuli; Miettinen, Arttu; Lassas, Matti; Timonen, Jussi(S P I E - International Society for Optical Engineering, 2014)
A method based on the curvelet transform is introduced to estimate the orientation distribution from
two-dimensional images of small anisotropic particles. Orientation of fibers in paper is considered as a particular
application ...
Caro, Pedro; Salo, Mikko(American Institute of Mathematical Sciences, 2014)
In this paper we prove log log type stability estimates for inverse
boundary value problems on admissible Riemannian manifolds of dimension
n ≥ 3. The stability estimates correspond to the uniqueness results in [13].
These ...
Ferreira, David Dos Santos; Kenig, Carlos E.; Salo, Mikko(Walter de Gruyter GmbH, 2014)
In this article we prove Lp estimates for resolvents of Laplace–Beltrami operators on compact Riemannian manifolds, generalizing results of Kenig, Ruiz and Sogge (1987) in the Euclidean case and Shen (2001) for the torus. ...
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther(Lehigh University, 2014)
This article considers inverse problems on closed Riemannian surfaces whose geodesic
flow is Anosov. We prove spectral rigidity for any Anosov surface and injectivity of the
geodesic ray transform on solenoidal 2-tensors. ...
This article studies the smoothness of conformal mappings between two
Riemannian manifolds whose metric tensors have limited regularity. We show that any
bi-Lipschitz conformal mapping or 1-quasiregular mapping between ...