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Visar resultat 1 - 5 av 230 avhandlingar som matchar ovanstående sökkriterier.
1. Asymptotic Analysis of Machine Learning Models: Comparison Theorems and Universality
Sammanfattning : The study of Machine Learning models in asymptotic regimes, has provided insight into many of the properties of ML models, but seemingly contradicts classical statistical wisdom. To solve this mystery, this thesis focuses on the analysis of models such as the LASSO and Random features regression, when the data points and model parameters grow infinite at constant ratios. LÄS MER
2. Aspects of Yang-Mills Theory : Solitons, Dualities and Spin Chains
Sammanfattning : One of the still big problems in the Standard Model of particle physics is the problem of confinement. Quarks or other coloured particles have never been observed in isolation. Quarks are only observed in colour neutral bound states. The strong interactions are described using a Yang-Mills theory. LÄS MER
3. On the asymptotic spectral distribution of random matrices : closed form solutions using free independence
Sammanfattning : The spectral distribution function of random matrices is an information-carrying object widely studied within Random matrix theory. In this thesis we combine the results of the theory together with the idea of free independence introduced by Voiculescu (1985). LÄS MER
4. Asymptotic Expansions for Perturbed Discrete Time Renewal Equations
Sammanfattning : In this thesis we study the asymptotic behaviour of the solution of a discrete time renewal equation depending on a small perturbation parameter. In particular, we construct asymptotic expansions for the solution of the renewal equation and related quantities. LÄS MER
5. Asymptotic Expansions of Crossing Rates of Stationary Random Processes
Sammanfattning : The crossing rate of a stationary random process is a valuble tool when studying crest hight distributions and maxima of sea level elevation. This thesis considers two approximation techinques for cases when the crossing rate cannot be exactly computed. LÄS MER