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Bundle methods in nonsmooth DC optimization
(Turun yliopisto, 2018-06-21)
Due to the complexity of many practical applications, we encounter optimization problems with nonsmooth functions, that is, functions which are not continuously differentiable everywhere. Classical gradient-based methods ...
On using distances to locate vertices: resolving sets and metric bases of graphs, two generalisations and their forced vertices
(Turun yliopisto, 2021-06-18)
A graph consists of vertices that are connected by edges. A resolving set of a graph is a subset of its vertices that gives a unique combination of distances to every vertex of the graph. We can use the distances we are ...
On location, domination and information retrieval
(Turku Centre for Computer Science, 2020-09-25)
The thesis is divided into two main branches: identifying and locatingdominating codes, and information retrieval. The former topics are motivated by the aim to locate objects in sensor networks (or other similar applications) ...
Generalized Orlicz spaces and partial differential equations with application to image restoration
(Turun yliopisto, 2022-11-11)
The research area of this thesis is nonlinear functional analysis, a branch of Mathematics which examines questions related to qualitative aspects of solution of a differential equation, such as existence, uniqueness, ...
Mechanistic population Models in Biology: Model Derivation and Application
(Turun yliopistoAnnales Universitatis Turkuensis AI 400, 2009-09-24)
In general, models of ecological systems can be broadly categorized as ’top-down’ or ’bottom-up’ models, based on the hierarchical level that the model processes are formulated on. The structure of a top-down, also known ...
Order-Theoretic Methods for Space-Time Coding: Symmetric and Asymmetric Designs
(Turku Centre for Computer Science, 2009-01-09)
Similarity Relations on Words: Relational Codes and Periods
(Turku Centre for Computer Science, 2008-02-22)
On Short Exponential Sums Involving Fourier Coefficients of Holomorphic Cusp Forms
(Turku Centre for Computer Science, 2008-05-05)
By an exponential sum of the Fourier coefficients of a holomorphic cusp form we mean the sum which is formed by first taking the Fourier series of the said form,then cutting the beginning and the tail away and considering ...
Modern approaches to classical additive problems
(Turun yliopisto, 2022-05-05)
In this thesis, we study additive problems using the transference principle and the Hardy-Littlewood circle method. The problems studied are related to Waring's prolem and Goldbach's conjecture. Waring's problem states ...
On the computation of the class numbers of real Abelian fields
(Turku Centre for Computer Science, 2007-05-18)