Search for dissertations about: "Gaussian noise stability"

Showing result 1 - 5 of 10 swedish dissertations containing the words Gaussian noise stability.

2. 1. Noise sensitivity and FK-type representations for Gaussian and stable processes

   Author : Malin Palö Forsström; Chalmers tekniska högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; color representation; exclusion process; color process; Noise sensitivity; threshold stable vector; volatility; noise stability; interchange process; threshold Gaussian vector; multivariate stable distribution; Bernoulli random vector; mixing time;

   Abstract : This thesis contains four papers on probability theory. Paper A concerns the question of whether the exclusion sensitivity and exclusion stability of a sequence of Boolean functions are monotone with respect to adding edges to the underlying sequence of graphs. READ MORE

4. 2. Applications of Gaussian Noise Stability in Inapproximability and Social Choice Theory

   Author : Marcus Isaksson; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Gaussian noise stability; inapproximability theory; invariance principle; max-q-cut; condorcet voting; max-q-cut;

   Abstract : Gaussian isoperimetric results have recently played an important role in proving fundamental results in hardness of approximation in computer science and in the study of voting schemes in social choice theory. In this thesis we prove a generalization of a Gaussian isoperimetric result by Borell and show that it implies that the majority function is optimal in Condorcet voting in the sense that it maximizes the probability that there is a single candidate which the society prefers over all other candidates. READ MORE

5. 3. On Medical Image Segmentation With Noisy Labels

   Author : Marcus Nordström; Henrik Hult; Atsuto Maki; Fredrik Kahl; KTH; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Medical image segmentation; image segmentation; machine learning; supervised learning; label noise; Sörensen-Dice coefficient; soft-Dice; Medicinsk bildsegmentering; bildsegmentering; maskininlärning; övervakat lärande; annoteringsbrus; Sörensen-Dice koefficienten; soft-Dice; Tillämpad matematik och beräkningsmatematik; Applied and Computational Mathematics; Mathematical Statistics; Matematisk statistik;

   Abstract : It is well known that data sets used for training and testing automatic medical image segmentation methods often contain a lot of label noise. Such noise affects the performance of the methods and has been subject to a lot of research. READ MORE

6. 4. Numerical Approximation of Solutions to Stochastic Partial Differential Equations and Their Moments

   Author : Kristin Kirchner; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Petrov– Galerkin discretizations; Strong and weak convergence; Fractional operators; Finite element methods; Space-time variational problems; Tensor product spaces; Stochastic partial differential equations; White noise; Petrov– Galerkin discretizations;

   Abstract : The first part of this thesis focusses on the numerical approximation of the first two moments of solutions to parabolic stochastic partial differential equations (SPDEs) with additive or multiplicative noise. More precisely, in Paper I an earlier result (A. Lang, S. Larsson, and Ch. READ MORE

7. 5. Search for Dark Matter and Extra Dimensions in Monojet Final States with the ATLAS Experiment

   Author : Olof Lundberg; Christophe Clement; Chad Finley; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Dark Matter; LHC; ATLAS; Extra Dimension; Gravity; Calorimeter; High Energy Physics; högenergifysik;

   Abstract : The CERN Large Hadron Collider (LHC) is the most powerful particle ac- celerator ever built, in terms of luminosity and center-of-mass energy of the collisions. This thesis presents a search for Dark Matter and Extra Dimen- sions in the proton-proton collisions as recorded by the ATLAS detector. READ MORE