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Computationally solving eigenvalue problems is a central problem in numerical analysis and as such has been the subject of extensive study. In this thesis we present four different methods to compute eigenvalues, each with its own characteristics, strengths and weaknesses. After formally introducing the methods we use them in various numerical experiments to test speed of convergence, stability as well as performance when used to compute eigenfaces, denoise images and compute the eigenvector centrality measure of a graph.
Footage of organoids taken by means of fluorescence microscopy and segmented as well as triangulated by image analysis software like LimeSeg and Mastodon often needs to be visualized in aesthetic manner for presentation of the results in scientific papers, talks and demonstrations. The goal of this work was to create a simple to use addon “Biobox” for the open source 3D – visualization package “Blender” which would allow to import triangulated 3D data with animation over time (4D), produced by image analysis software, and optimize it for efficient usage. ”Biobox” offers several visualization tools for the creation of rendered images and animation videos by biologists.
The optimization of imported data was performed by using Blender intern modifiers. The optimized data can then be visualized by using several tools built for visualizing the organoid in frozen, animated and semi-transparent manners. A dynamic link for object selection and dynamic data exchange between Blender and Mastodon was developed. Additionally, a user interface was developed for manual correction errors of segmentation and steering the object detection algorithms of LimeSeg. The benchmark of the developed addon “Biobox” was performed on real scientific data. The benchmark test demonstrated that developed optimization result in significant (~5 fold) decrease of RAM usage and acceleration of visualization more than 160 times.
Robust soft learning vector quantization (RSLVQ) is a probabilistic approach of Learning vector quantization (LVQ) algorithm. Basically, the RSLVQ approach describes its functionality with respect to Gaussian mixture model and its cost function is defined in terms of likelihood ratio. Our thesis work involves an approach of modifying standard RSLVQ with non-Gaussian density functions like logistic, lognormal, and Cauchy (referred as PLVQ). In this approach, we derive new update rules for prototypes using gradient of cost function with respect to non-Gaussian density functions. We also derive new learning rules for the model parameters like s and s, by differentiating the cost function with respect to parameters. The main goal of the thesis is to compare the performance results of PLVQ model with Gaussian-RSLVQ model. Therefore, the performance of these classification models have been tested on the Iris and Seeds dataset. To visualize the results of the classification models in an adequate way, the Principal component analysis (PCA) technique has been used.
This paper examines the communication channels used by innovation projects at the ProtoSpace Hamburg, when engaging with stakeholders, and tries to answer the thesis question whether new media channels improve the chances of success for innovation projects, when used for this communication. Expert interviews with eight experts in com-munication, innovation and stakeholder management were conducted and then analyzed through the application of Mayring´s qualitative content analysis, in order to answer the posed question.
The number of Internet of Things (IoT) devices is increasing rapidly. The Trustless Incentivized Remote Node Network, in short IN3 (Incubed), enables trustworthy and fast access to a blockchain for a large number of low-performance IoT devices. Although currently IN3 only supports the verification of Ethereum data, it is not limited to one blockchain due to modularity. This thesis describes the fundamentals, the concept and the implementation of the Bitcoin verification in IN3.
In this thesis two novel methods for removing undesired background illumination are de-veloped. These include a wavelet analysis based approach and an enhancement of a deep learning method. These methods have been compared with conventional methods, using real confocal microscopy images and synthetic generated microscopy images. These synthetic images were created utilizing a generator introduced in this thesis.
Machine learning models for timeseries have always been a special topic of interest due to their unique data structure. Recently, the introduction of attention improved the capabilities of recurrent neural networks and transformers with respect to their learning tasks such as machine translation. However, these models are usually subsymbolic architectures, making their inner working hard to interpret without comprehensive tools. In contrast, interpretable models such learning vector quantization are more transparent in the ability to interpret their decision process. This thesis tries to merge attention as a machine learning function with learning vector quantization to better handle timeseries data. A design on such a model is proposed and tested with a dataset used in connection with the attention based transformers. Although the proposed model did not yield the expected results, this work outlines improvements for further research on this approach.
This work emphasises the synergy between anthropologi-cal research on human skeletal remains and suitable doc-umentation strategies. Highlighting the significance of data recording and the use of digital databases in various aspects of anthropological work on bones, including scien-tific standards, skeletal collections, analysis of research re-sults, ethical considerations, and curation, it provides a comprehensive examination of these topics to demonstrate the value of investing time and resources in this field, countering the existing lack of funding that has led to sig-nificant deficiencies. Additionally, the paper outlines the requirements and challenges associated with standard data protocoling and suggests that digital data manage-ment frameworks and technologies such as ontologies and semantic web technologies for anthropological information should be a central focus in developing solutions.
In this paper, we conduct experiments to optimize the learning rates for the Generalized Learning Vector Quantization (GLVQ) model. Our approach leverages insights from cog- nitive science rooted in the profound intricacies of human thinking. Recognizing that human-like thinking has propelled humankind to its current state, we explore the applica- bility of cognitive science principles in enhancing machine learning. Prior research has demonstrated promising results when applying learning rate methods inspired by cognitive science to Learning Vector Quantization (LVQ) models. In this study, we extend this approach to GLVQ models. Specifically, we examine five distinct cognitive science-inspired GLVQ variants: Conditional Probability (CP), Dual Factor Heuristic (DFH), Middle Symmetry (MS), Loose Symmetry (LS), and Loose Symme- try with Rarity (LSR). Our experiments involve a comprehensive analysis of the performance of these cogni- tive science-derived learning rate techniques across various datasets, aiming to identify optimal settings and variants of cognitive science GLVQ model training. Through this research, we seek to unlock new avenues for enhancing the learning process in machine learning models by drawing inspiration from the rich complexities of human cognition. Keywords: machine learning, GLVQ, cognitive science, cognitive bias, learning rate op- timization, optimizers, human-like learning, Conditional Probability (CP), Dual Factor Heuristic (DFH), Middle Symmetry (MS), Loose Symmetry (LS), Loose Symmetry with Rarity (LSR).
Adversarial robustness of a nearest prototype classifier assures safe deployment in sensitive use fields. Much research has been conducted on artificial neural networks regarding their robustness against adversarial attacks, whereas nearest prototype classifiers have not chalked similar successes. This thesis presents the learning dynamics and numerical stability regarding the Crammer-normalization and the Hein-normalization for adversarial robustness of nearest prototype classifiers. Results of conducted experiments are penned down and analyzed to ascertain the bounds given by Saralajew et al. and Hein et al. for adversarial robustness of nearest prototype classifiers.