Dimension Reduction of Large-Scale Systems

Dimension Reduction of Large-Scale Systems
Author: Peter Benner
Publisher: Springer Science & Business Media
Total Pages: 397
Release: 2006-03-30
Genre: Technology & Engineering
ISBN: 3540279091

In the past decades, model reduction has become an ubiquitous tool in analysis and simulation of dynamical systems, control design, circuit simulation, structural dynamics, CFD, and many other disciplines dealing with complex physical models. The aim of this book is to survey some of the most successful model reduction methods in tutorial style articles and to present benchmark problems from several application areas for testing and comparing existing and new algorithms. As the discussed methods have often been developed in parallel in disconnected application areas, the intention of the mini-workshop in Oberwolfach and its proceedings is to make these ideas available to researchers and practitioners from all these different disciplines.

Robustness in Dimensionality Reduction

Robustness in Dimensionality Reduction
Author: Jiaxi Liang
Publisher:
Total Pages: 161
Release: 2016
Genre: Algorithms
ISBN:

Dimensionality reduction is widely used in many statistical applications, such as image analysis, microarray analysis, or text mining. This thesis focuses on three problems that relate to the robustness in dimension reduction. The first topic is the performance analysis in dimension reduction, that is, quantitatively assessing the performance of a algorithm on a given dataset. A criterion for success is established from the geometric point of view to address this issues. A family of goodness measures, called \textsl{local rank correlation}, is developed to assess the performance of dimensionality reduction methods. The potential application of the local rank correlation in selecting tuning parameters of dimension reduction algorithms is also explored. The second topic is the sensitivity analysis in dimension reduction. Two types of influence functions are developed as measures of robustness, based on which we develop graphical display strategies for visualizing the robustness of a dimension reduction method, and flagging potential outliers. In the third part of the thesis, a novel robust PCA framework, called \textsl{Performance-Weighted Bagging PCA}, is proposed from the perspective of model averaging. It obtains a robust linear subspace by weighted averaging a collection of subspaces produced by subsamples. The robustness against outliers is achieved by a proper weighting scheme, and possible choices of weighting scheme are investigated.

Multi-Label Dimensionality Reduction

Multi-Label Dimensionality Reduction
Author: Liang Sun
Publisher: CRC Press
Total Pages: 210
Release: 2013-11-04
Genre: Business & Economics
ISBN: 1439806152

Similar to other data mining and machine learning tasks, multi-label learning suffers from dimensionality. An effective way to mitigate this problem is through dimensionality reduction, which extracts a small number of features by removing irrelevant, redundant, and noisy information. The data mining and machine learning literature currently lacks a unified treatment of multi-label dimensionality reduction that incorporates both algorithmic developments and applications. Addressing this shortfall, Multi-Label Dimensionality Reduction covers the methodological developments, theoretical properties, computational aspects, and applications of many multi-label dimensionality reduction algorithms. It explores numerous research questions, including: How to fully exploit label correlations for effective dimensionality reduction How to scale dimensionality reduction algorithms to large-scale problems How to effectively combine dimensionality reduction with classification How to derive sparse dimensionality reduction algorithms to enhance model interpretability How to perform multi-label dimensionality reduction effectively in practical applications The authors emphasize their extensive work on dimensionality reduction for multi-label learning. Using a case study of Drosophila gene expression pattern image annotation, they demonstrate how to apply multi-label dimensionality reduction algorithms to solve real-world problems. A supplementary website provides a MATLAB® package for implementing popular dimensionality reduction algorithms.

34th European Symposium on Computer Aided Process Engineering /15th International Symposium on Process Systems Engineering

34th European Symposium on Computer Aided Process Engineering /15th International Symposium on Process Systems Engineering
Author: Flavio Manenti
Publisher: Elsevier
Total Pages: 3634
Release: 2024-06-28
Genre: Technology & Engineering
ISBN: 0443288259

The 34th European Symposium on Computer Aided Process Engineering / 15th International Symposium on Process Systems Engineering, contains the papers presented at the 34th European Symposium on Computer Aided Process Engineering / 15th International Symposium on Process Systems Engineering joint event. It is a valuable resource for chemical engineers, chemical process engineers, researchers in industry and academia, students, and consultants for chemical industries. Presents findings and discussions from the 34th European Symposium on Computer Aided Process Engineering / 15th International Symposium on Process Systems Engineering joint event

Efficient Modeling and Control of Large-Scale Systems

Efficient Modeling and Control of Large-Scale Systems
Author: Javad Mohammadpour
Publisher: Springer Science & Business Media
Total Pages: 350
Release: 2010-06-23
Genre: Technology & Engineering
ISBN: 144195757X

Complexity and dynamic order of controlled engineering systems is constantly increasing. Complex large scale systems (where "large" reflects the system’s order and not necessarily its physical size) appear in many engineering fields, such as micro-electromechanics, manufacturing, aerospace, civil engineering and power engineering. Modeling of these systems often result in very high-order models imposing great challenges to the analysis, design and control problems. "Efficient Modeling and Control of Large-Scale Systems" compiles state-of-the-art contributions on recent analytical and computational methods for addressing model reduction, performance analysis and feedback control design for such systems. Also addressed at length are new theoretical developments, novel computational approaches and illustrative applications to various fields, along with: - An interdisciplinary focus emphasizing methods and approaches that can be commonly applied in various engineering fields -Examinations of applications in various fields including micro-electromechanical systems (MEMS), manufacturing processes, power networks, traffic control "Efficient Modeling and Control of Large-Scale Systems" is an ideal volume for engineers and researchers working in the fields of control and dynamic systems.

Control and Dynamic Systems V55: Digital and Numeric Techniques and Their Application in Control Systems

Control and Dynamic Systems V55: Digital and Numeric Techniques and Their Application in Control Systems
Author: C.T. Leonides
Publisher: Academic Press
Total Pages: 537
Release: 2012-12-02
Genre: Technology & Engineering
ISBN: 0323163165

Control and Dynamic Systems: Advances in Theory Applications, Volume 55: Digital and Numeric Techniques and their Applications in Control Systems, Part 1 of 2 covers advances in numerical and computational techniques for the design of modern complex control systems. This book presents a comprehensive treatment of the many issues that are dealt with in modern complex systems. It discusses the efficacy of significant techniques for robust control design; model reduction; adaptive estimation of discrete-time stochastic systems; parameter estimation; and loop transfer recovery. Students, research workers, and practising engineers will find this book invaluable.

Transactions on Large-Scale Data- and Knowledge-Centered Systems LIV

Transactions on Large-Scale Data- and Knowledge-Centered Systems LIV
Author: Abdelkader Hameurlain
Publisher: Springer Nature
Total Pages: 141
Release: 2023-10-23
Genre: Computers
ISBN: 3662680149

The LNCS journal Transactions on Large-scale Data and Knowledge-centered Systems focuses on data management, knowledge discovery, and knowledge processing, which are core and hot topics in computer science. Since the 1990s, the Internet has become the main driving force behind application development in all domains. An increase in the demand for resource sharing across different sites connected through networks has led to an evolution of data- and knowledge-management systems from centralized systems to decentralized systems enabling large-scale distributed applications providing high scalability. This, the 54th issue of Transactions on Large-Scale Data and Knowledge-Centered Systems, contains three fully revised and extended papers and two additional extended keynotes selected from the 38th conference on Data Management - Principles, Technologies and Applications, BDA 2022. The topics cover a wide range of timely data management research topics on temporal graph management, tensor-based data mining, time-series prediction, healthcare analytics over knowledge graphs, and explanation of database query answers.