Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 28 for “"Convex Analysis"”.
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Variational Convex Analysis
… theoretical and applied results for variational convex analysis. First we present the basic tools of analysis necessary to develop the core theory and applications. New results concerning duality principles for systems originally modeled by non-linear differential equations are shown in chapters …
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Design and Implementation of Convex Analysis of Mixtures Software Suite
Various convex analysis of mixtures (CAM) based algorithms have been developed to address real world blind source separation (BSS) problems and proven to have good performances in previous papers. This thesis reported the implementation of a comprehensive software CAM-Java, which contains three …
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A finite strain theory of elastoplasticity and its application to wave propagation
… plasticity is developed by using the methods of convex analysis. The theory abstracts and extends the classical assumptions of a convex region of admissible stresses, and the normality law. The overall effects of plastic behaviour are contained in the theory through the presence of one or more …
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Variational formulations and numerical analysis of some problems in small strain elastoplasticity
… follow naturally from standard results in convex analysis.
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The von Neumann Minimax Theorem and its relatives and a study of externality in on-line auctions
… its relationships with fundamental theorems of convex analysis. The second part is about externality in sponsored search auctions. It shows that in these auctions, advertisers have externality effects on each other which influence their bidding behavior. It proposes Hal R.Varian model and shows …
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A Study of Machine Learning Approaches for Biomedical Signal Processing
… is a major issue in quantitative proteomics data analysis. While many methods have been developed for imputing missing values in high-throughput proteomics data, comparative assessment on the accuracy of existing methods remains inconclusive, mainly because the true missing mechanisms are complex …
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Conic Linear Programming in Quantum Information
… into another by applying free operations. If convexity arises in QRTs, convex analysis tools can be utilized in the analysis of these problems. The separating hyperplane theorem ensures the existence of at least one witness for each resource state in convex QRTs. By using this idea, necessary …
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On the Sample Complexity of Imitation Learning for Smoothed Model Predictive Control
… the barrier MPC controller can be written as a convex combination of pieces arising from the explicit MPC formulation, (2) bounding the Hessian of the barrier MPC as a function of the strength of the barrier function, and (3) presenting new results in both matrix and convex analysis for …
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Formulation, analysis and solution algorithms for a model of gradient plasticity within a discontinuous Galerkin framework
… is developed within the framework of non-smooth convex analysis by exploiting the equivalence between the primal and dual expressions of the plastic deformation evolution relations. The nonlocal plastic evolution relations for the case of gradient plasticity are approximated using a discontinuous …
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Implicit Fixed-point Proximity Framework for Optimization Problems and Its Applications
… using various fixed point techniques as well as convex analysis tools such as the subdifferential and proximity operator.</p> <p>With the notion of proximity operator, we can convert those optimization problems into finding fixed points of nonlinear operators. Under the fixed-point proximity …
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M♮-convexity, S-convexity, and their applications in operations
… thesis, by employing a key concept in discrete convex analysis, M♮-convexity, we establish conditions under which the optimal solutions are nonincreasing in the parameters and the preservation property holds for parametric maximization models with submodular objectives, together with the …
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Identification of novel properties of metabolic systems through null-space analysis
… are presented. Firstly, an algorithm that uses convex analysis techniques to decompose flux measurements into a set of fundamental flux pathways is developed and applied to a genome-scale model of Campylobacter jejuni in order to investigate its absolute requirement for environmental oxygen. …
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Gradient projection anti-windup scheme
… a combinatorial optimization subproblem, a convex quadratic program, or a projection onto a convex polyhedral cone problem. We show that the GPAW-compensated system is obtained by modifying the uncompensated system with a passive operator. Qualitative weaknesses of some existing anti-windup …
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Estimation in Truncated Exponential Family of Distributions
… family which depend upon a few results from convex analysis.</p> <p>Using certain results from BN 1978 , we give a unified approach to the problem of maximum likelihood estimation in the two parameter doubly truncated normal, truncated gamma, and singly truncated normal families, and obtain a …
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Theoretical and numerical aspects of problems in finite-strain plasticity
… is developed within a framework of non-smooth convex analysis; a unification of ideas concerning the postulates of plasticity is achieved by using the powerful tools provided by results in this branch of mathematics. A firm mathematical foundation for the study of qualitative aspects of …
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Learning Statistical and Geometric Models from Microarray Gene Expression Data
… propose and develop innovative data modeling and analysis methods for extracting meaningful and specific information about disease mechanisms from microarray gene expression data. To provide a high-level overview of gene expression data for easy and insightful understanding of data structure, we …
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Unsupervised Signal Deconvolution for Multiscale Characterization of Tissue Heterogeneity
… unsupervised deconvolution methods within the Convex Analysis of Mixtures (CAM) framework, for characterizing multi-scale tissue heterogeneity. We also explanatorily test the application of Significant Intercellular Genomic Heterogeneity (SIGH) method. Unlike existing deconvolution methods, CAM …
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Designing Provably Convergent Algorithms from the Geometry of Data
… want has been fruitful. Inspired by functional analysis and its layer-wise construction, neural networks can be made to have useful properties such as convexity, non-expansiveness, monotonicity and invertibility. In this dissertation, we develop algorithms in the context of optimisation and …
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Mathematical Modeling and Deconvolution for Molecular Characterization of Tissue Heterogeneity
… We implement an R package, deconvolution by Convex Analysis of Mixtures (debCAM) that can automatically detect tissue or cell-specific markers, determine the number of constituent sub-types, calculate subtype proportions in individual samples, and estimate tissue/cell-specific expression …
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An experimental and graph theoretic study of atomic layer deposition processes for spacecraft applications
… and forms the backbone of further engineering analysis. A valid and proper ALD reaction net work (RN) must be able to reflect the self-limiting and cycle to cycle reproducibility behavior experimentally observed for practical ALD processes. Otherwise, the mathematical model built based on it …
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