Search for dissertations about: "probability bounds analysis"

Showing result 1 - 5 of 38 swedish dissertations containing the words probability bounds analysis.

  2. 1. Approximating Stochastic Partial Differential Equations with Finite Elements: Computation and Analysis

    Author : Andreas Petersson; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Lévy process; Lyapunov equation; white noise; finite element method; multilevel Monte Carlo; Monte Carlo; multiplicative noise; asymptotic mean square stability; stochastic heat equation; covariance operator; weak convergence; generalized Wiener process; numerical approximation; stochastic wave equation; Stochastic partial differential equations;

    Abstract : Stochastic partial differential equations (SPDE) must be approximated in space and time to allow for the simulation of their solutions. In this thesis fully discrete approximations of such equations are considered, with an emphasis on finite element methods combined with rational semigroup approximations. READ MORE

  4. 2. Guaranteeing Generalization via Measures of Information

    Author : Fredrik Hellström; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; PAC-Bayes; statistical learning; information theory; Machine learning; neural networks.; generalization;

    Abstract : During the past decade, machine learning techniques have achieved impressive results in a number of domains. Many of the success stories have made use of deep neural networks, a class of functions that boasts high complexity. Classical results that mathematically guarantee that a learning algorithm generalizes, i.e. READ MORE

  5. 3. Performance Analysis and Deployment Techniques forWireless Sensor Networks

    Author : Huimin She; Zhonghai Lu; Yuming Jiang; KTH; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; wireless sensor network; performance analysis; network calculus; coverage analysis; deployment scheme; SRA - ICT; SRA - Informations- och kommunikationsteknik;

    Abstract : Recently, wireless sensor network (WSN) has become a promising technology with a wide range of applications such as supply chain monitoring and environment surveillance. It is typically composed of multiple tiny devices equipped with limited sensing, computing and wireless communication capabilities. READ MORE

  6. 4. Statistical modelling in chemistry - applications to nuclear magnetic resonance and polymerase chain reaction

    Author : Halfdan Grage; Teknisk mikrobiologi; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Statistik; operationsanalys; programmering; aktuariematematik; programming; actuarial mathematics; Statistics; operations research; experimental design.; logistic regression; detection probability; region of operability; sampling. Diagnostic PCR; Cramér-Rao bounds; maximum likelihood estimation; NMR spectroscopy; Gaussian noise;

    Abstract : This thesis consists of two parts with the common theme of statistical modelling in chemistry. The first part is concerned with applications in nuclear magnetic resonance (NMR) spectroscopy, while the second part deals with applications in polymerase chain reaction (PCR). READ MORE

  7. 5. Information-Theoretic Generalization Bounds: Tightness and Expressiveness

    Author : Fredrik Hellström; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; information theory; neural networks; generalization; statistical learning; meta learning; PAC-Bayes; Machine learning;

    Abstract : Machine learning has achieved impressive feats in numerous domains, largely driven by the emergence of deep neural networks. Due to the high complexity of these models, classical bounds on the generalization error---that is, the difference between training and test performance---fail to explain this success. READ MORE