Search for dissertations about: "First-order approach"
Showing result 1 - 5 of 97 swedish dissertations containing the words First-order approach.
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1. Efficient and Flexible First-Order Optimization Algorithms
Abstract : Optimization problems occur in many areas in science and engineering. When the optimization problem at hand is of large-scale, the computational cost of the optimization algorithm is a main concern. READ MORE
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2. Asynchronous First-Order Algorithms for Large-Scale Optimization : Analysis and Implementation
Abstract : Developments in communication and data storage technologies have made large-scale data collection more accessible than ever. The transformation of this data into insight or decisions typically involves solving numerical optimization problems. READ MORE
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3. New techniques for handling quantifiers in Boolean and first-order logic
Abstract : The automation of reasoning has been an aim of research for a long time. Already in 17th century, the famous mathematician Leibniz invented a mechanical calculator capable of performing all four basic arithmetic operators. READ MORE
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4. Quantifiers and Theories : A Lazy Approach
Abstract : In this thesis we study Automated Theorem Proving (ATP) as well as Satisfiability Modulo Theories (SMT) and present lazy strategies for improving reasoning within these areas. A lazy strategy works by simplifying a problem, and gradually refines the abstraction only when necessary. READ MORE
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5. Convergence Analysis and Improvements for Projection Algorithms and Splitting Methods
Abstract : Non-smooth convex optimization problems occur in all fields of engineering. A common approach to solving this class of problems is proximal algorithms, or splitting methods. These first-order optimization algorithms are often simple, well suited to solve large-scale problems and have a low computational cost per iteration. READ MORE