Sökning: "hessian"

Visar resultat 1 - 5 av 23 avhandlingar innehållade ordet hessian.

  1. 1. Information geometries in black hole physics

    Författare :Narit Pidokrajt; Ingemar Bengtsson; Jorma Louko; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; black holes; thermodynamics; instability; hessian; entropy; ruppeiner geometry; weinhold geometry; information geometry; Theory of relativity; gravitation; Relativitetsteori; gravitation; teoretisk fysik; Theoretical Physics;

    Sammanfattning : In this thesis we aim to develop new perspectives on the statistical mechanics of black holes using an information geometric approach (Ruppeiner and Weinhold geometry). The Ruppeiner metric is defined as a Hessian matrix on a Gibbs surface, and provides a geometric description of thermodynamic systems in equilibrium. LÄS MER

  3. 2. Lefschetz properties and Jordan types of Artinian algebras

    Författare :Nasrin Altafi; Mats Boij; Martina Juhnke-Kubitzke; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Lefschetz properties; Jordan type; Hilbert function; Artinian algebra; Gorenstein algebra; Hessian;

    Sammanfattning : This thesis contains six papers concerned with studying the Lefschetz properties and Jordan types of linear forms for graded Artinian algebras. Lefschetz properties and Jordan types carry information about the ranks of multiplication maps by linear forms on graded Artinian algebras. LÄS MER

  4. 3. Novel Hessian approximations in optimization algorithms

    Författare :Erik Berglund; Mikael Johansson; Pontus Giselsson; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Electrical Engineering; Elektro- och systemteknik;

    Sammanfattning : There are several benefits of taking the Hessian of the objective function into account when designing optimization algorithms. Compared to using strictly gradient-based algorithms, Hessian-based algorithms usually require fewer iterations to converge. LÄS MER

  5. 4. Real and complex Monge-Ampère equations, statistical mechanics and canonical metrics

    Författare :Jakob Hultgren; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Statistical Mechanics; Point Processes; Hessian manifolds; Kähler geometry; Optimal Transport; Canonical metrics; Complex Monge-Ampère equations; Real Monge-Ampère equations; Kähler-Einstein metrics; Statistical Mechanics;

    Sammanfattning : Recent decades has seen a strong trend in complex geometry to study canonical metrics and the way they relate to geometric analysis, algebraic geometry and probability theory. This thesis consists of four papers each contributing to this field. The first paper sets up a probabilistic framework for real Monge-Ampère equations on tori. LÄS MER

  7. 5. Numerical Algorithms for Optimization Problems in Genetical Analysis

    Författare :Kateryna Mishchenko; Sverker Holmgren; Dmitrii Silvestrov; Lars Rönnegård; Ann-Charlotte Berglund Sonnhammer; Mälardalens högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Quantitative Trait Loci QTL ; restricted maximum likelihood REML ; variance components; average information AI matrix; Local optimization; Quasi-Newton method; Active Set method; Hessian approximation; BFGS update; Applied mathematics; Tillämpad matematik; Matematik tillämpad matematik;

    Sammanfattning : The focus of this thesis is on numerical algorithms for efficient solution of QTL analysis problem in genetics.Firstly, we consider QTL mapping problems where a standard least-squares model is used for computing the model fit. LÄS MER