Mitarbeiter Lehrstuhl/Einrichtung der Fakultät für Informatik und Mathematik
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In his famous paper Gersho stressed that the codecells of optimal quantizers asymptotically make an equal contribution to the distortion of the quantizer. Motivated by this fact, we investigate in this paper quantizers in the scalar case, where each codecell contributes with exactly the same portion to the quantization error. We show that such quantizers of Gersho type - or Gersho quantizers for short - exist for non-atomic scalar distributions. As a main result we prove that Gersho quantizers are asymptotically optimal.
In this thesis a new approach to building product recommender systems is introduced. By using a customer-centric dialogue, the customers' preferences are elicited. These are the basis for inferring utility estimations about the desired technical properties of the products in question. Systems built this way can both operate autonomously, e.g., in an online store, and support a salesperson directly at the point-of-sale. The core of the approach is formed by a layered domain description that models customer stereotypes and needs, product attributes, the products themselves, and the causal interrelations between customer and product properties. Maintenance of the domain description, i.e., keeping the model up-to-date in face of frequent changes, is facilitated by the clear separation of concerns provided by the layered structure. In fact, the most frequently used class of updates can be handled in an entirely automated way if some constraints are satisfied. On a high level of abstraction, the system behavior is described by State Charts that are parameterized according to the domain description. Those parts of the system description where State Charts would be too imprecise are implemented by separate components realizing the required complex semantics. From the domain description, a Bayesian network is generated that forms the core of the inference engine of the recommender system. The network essentially controls the system-initiated dialogue flow and the recommendation process. Due to the characteristics of Bayesian networks, it is possible to respond to user-initiated dialogue steps in a natural way. Moreover, an explanation of the current recommendation can be generated without having to explicitly encode additional information in the modeling layer. Finally, a database structure and the SQL queries necessary to obtain recommendations can be inferred from the corresponding parts of the domain description. Instantiation of the system to a specific business domain is supported by a dedicated maintenance application that hides the complexities of the underlying algorithms. Thus, day-to-day system updates by non-technical domain experts, e.g., product managers, are facilitated. The developed concepts were implemented in cooperation with a local industry partner who intends to apply the recommender system in the field of mobile communications.
IMPACT 2013 in Berlin, Germany (in conjuction with HiPEAC 2013) is the third workshop in a series of international workshops on polyhedral compilation techniques. The previous workshops were held in Chamonix, France (2011) in conjuction with CGO 2011 and Paris, France (2012) in conjuction with HiPEAC 2012.
Das Zeichnen von Graphen beschäftigt sich mit der Frage, wie die durch einen Graphen repräsentierten Informationen für einen Betrachter übersichtlich und verständlich dargestellt werden können. Die Graphklasse der Bäume dient insbesondere zur Repräsentation von hierarchischen Strukturen. Neben den hierarchisch und radial darstellenden Verfahren werden Bäume auch auf dem orthogonalen Gitter gezeichnet, in welchem die Knoten auf ganzzahligen Koordinaten liegen und die Kanten entlang der horizontalen und vertikalen Gitterlinien verlaufen. Gewünscht wird eine gute Lesbarkeit der Zeichnungen und deren effiziente Berechnung. Für die formale Bewertung der Lesbarkeit existieren speziell für das Zeichnen von Bäumen definierte Ästhetikkriterien, wie eine ebenenweise Darstellung, die Ordnungserhaltung und Kriterien zur Darstellung von Subgraphisomorphien und Symmetrien. Die vorliegende Arbeit befasst sich mit einer bislang wenig studierten Erweiterung des orthogonalen Gitters auf das hexagonale und oktagonale Gitter durch das Hinzunehmen von einer bzw. beider diagonalen Gitterrichtungen, und der Problemstellung, wie Bäume darauf gezeichnet werden. Dadurch können auch Bäume mit einem höheren Grad gezeichnet werden als auf dem orthogonalen Gitter. Die Einschränkung, dass nur Bäume gezeichnet werden können, deren Grad kleiner ist als die Anzahl der Gitterrichtungen des verwendeten Gitters, besteht jedoch weiterhin. Als Ästhetikkriterien werden die lokale Uniformität, die die Länge der ausgehenden Kanten eines Knotens festlegt, und Pattern, die deren Richtungen festlegen, eingeführt. Gegenüber dem bekannten linearen Flächenverbrauch von geradlinigen Zeichnungen von vollständigen Binärbäumen auf dem orthogonalen Gitter, werden für Zeichnungen von vollständigen d-nären Bäumen mit d > 2 nicht-lineare untere Schranken für die benötigte Fläche auf dem hexagonalen und dem oktagonalen Gitter gezeigt. Insgesamt werden für vollständige und beliebige, geordnete und ungeordnete Bäume obere und untere Flächenschranken für Zeichnungen auf dem hexagonalen und oktagonalen Gitter präsentiert. Dabei zeigt sich, dass bei nicht-ordnungserhaltenden Zeichnungen zwar mehr als lineare, aber deutlich weniger als quadratische Fläche benötigt wird. Im Gegensatz dazu gibt es geordnete Bäume, deren ordnungserhaltende Zeichnungen exponentielle Fläche benötigen. Des Weiteren wird die Ermittlung der minimalen Zeichenfläche für geordnete d-näre Bäume ebenso als NP-vollständig bewiesen, wie das Zeichnen von ungeordneten d-nären Bäumen mit einheitlichen Kantenlängen. Schließlich werden zwei Linearzeitalgorithmen vorgestellt, die geordnete d-näre Bäume unter Einhaltung der genannten Ästhetikkriterien zeichnen.
Das Vergleichen und Aggregieren von Informationen ist ein zentraler Bereich in der Analyse von Wahlsystemen. In diesen müssen die verschiedenen Meinungen von Wählern über eine Menge von Kandidaten zu einem möglichst gerechten Wahlergebnis aggregiert werden. In den meisten politischen Wahlen entscheidet sich jeder Wähler durch Ankreuzen für einen einzigen Kandidaten. Daneben werden aber auch Rangordnungsprobleme als eine Variante von Wahlsystemen untersucht. Bei diesen bringt jeder Wähler seine Meinung in Form einer totalen Ordnung über der Menge der Kandidaten zum Ausdruck, wodurch seine oftmals komplexe Meinung exakter repräsentiert werden kann als durch die Auswahl eines einzigen, favorisierten Kandidaten. Das Wahlergebnis eines Rangordnungsproblems ist dann eine ebenfalls totale Ordnung der Kandidaten, welche die geringste Distanz zu den Meinungen der Wähler aufweist. Als Distanzmaße zwischen zwei totalen Ordnungen haben sich neben anderen Kendalls Tau-Distanz und Spearmans Footrule-Distanz etabliert. Durch moderne Anwendungsmöglichkeiten von Rangordnungsproblemen im maschinellen Lernen, in der künstlichen Intelligenz, in der Bioinformatik und vor allem in verschiedenen Bereichen des World Wide Web rücken bereits bekannte, jedoch bislang eher wenig studierte Aspekte in den Fokus der Forschung. Zum einen gewinnt die algorithmische Komplexität von Rangordnungsproblemen an Bedeutung. Zum anderen existieren in vielen dieser Anwendungen unvollständige „Wählermeinungen“ mit unentschiedenen oder unvergleichbaren Kandidaten, so dass totale Ordnungen zu deren Repräsentation nicht länger geeignet sind. Die vorliegende Arbeit greift diese beiden Aspekte auf und betrachtet die algorithmische Komplexität von Rangordnungsproblemen, in denen Wählermeinungen anstatt durch totale Ordnungen durch schwache oder partielle Ordnungen repräsentiert werden. Dazu werden Kendalls Tau-Distanz und Spearmans Footrule-Distanz auf verschiedene nahe liegende Arten verallgemeinert. Es zeigt sich dabei, dass nun bereits die Distanzberechnung zwischen zwei Ordnungen ein algorithmisch komplexes Problem darstellt. So ist die Berechnung der verallgemeinerten Versionen von Kendalls Tau-Distanz oder Spearmans Footrule-Distanz für schwache Ordnungen noch effizient möglich. Sobald jedoch partielle Ordnungen betrachtet werden, sind die Probleme NP-vollständig, also vermutlich nicht mehr effizient lösbar. In diesem Fall werden Resultate zur Approximierbarkeit und zur parametrisierten Komplexität der Probleme vorgestellt. Auch die Komplexität der Rangordnungsprobleme selbst erhöht sich. Für totale Ordnungen effizient lösbare Varianten werden für schwache Ordnungen NP-vollständig, für totale Ordnungen NP-vollständige Varianten hingegen liegen für partielle Ordnungen teilweise außerhalb der Komplexitätsklasse NP. Die Arbeit schließt mit einem Ausblick auf offene Problemstellungen.
Properties of scalar quantization with $r$th power distortion and constrained R\'enyi entropy of order $\alpha\in (0,1)$ are investigated. For an asymptotically (high-rate) optimal sequence of quantizers, the contribution to the R\'enyi entropy due to source values in a fixed interval is identified in terms of the "entropy density" of the quantizer sequence. This extends results related to the well-known point density concept in optimal fixed-rate quantization. A dual of the entropy density result quantifies the distortion contribution of a given interval to the overall distortion. The distortion loss resulting from a mismatch of source densities in the design of an asymptotically optimal sequence of quantizers is also determined. This extends Bucklew's fixed-rate ($\alpha=0$) and Gray \emph{et al.}'s variable-rate ($\alpha=1$)mismatch results to general values of the entropy order parameter $\alpha$
This thesis investigates, how placement variations of electronic devices influence the possibility of using sensors integrated in those devices for context recognition. The vast majority of context recognition research assumes well defined, fixed sen- sor locations. Although this might be acceptable for some application domains (e.g. in an industrial setting), users, in general, will have a hard time coping with these limitations. If one needs to remember to carry dedicated sensors and to adjust their orientation from time to time, the activity recognition system is more distracting than helpful. How can we deal with device location and orientation changes to make context sensing mainstream? This thesis presents a systematic evaluation of device placement effects in context recognition. We first deal with detecting if a device is carried on the body or placed somewhere in the environ- ment. If the device is placed on the body, it is useful to know on which body part. We also address how to deal with sensors changing their position and their orientation during use. For each of these topics some highlights are given in the following. Regarding environmental placement, we introduce an active sampling ap- proach to infer symbolic object location. This approach requires only simple sensors (acceleration, sound) and no infrastructure setup. The method works for specific placements such as "on the couch", "in the desk drawer" as well as for general location classes, such as "closed wood compartment" or "open iron sur- face". In the experimental evaluation we reach a recognition accuracy of 90% and above over a total of over 1200 measurements from 35 specific locations (taken from 3 different rooms) and 12 abstract location classes. To derive the coarse device placement on the body, we present a method solely based on rotation and acceleration signals from the device. It works independent of the device orientation. The on-body placement recognition rate is around 80% over 4 min. of unconstrained motion data for the worst scenario and up to 90% over a 2 min. interval for the best scenario. We use over 30 hours of motion data for the analysis. Two special issues of device placement are orientation and displacement. This thesis proposes a set of heuristics that significantly increase the robustness of motion sensor-based activity recognition with respect to sen- sor displacement. We show how, within certain limits and with modest quality degradation, motion sensor-based activity recognition can be implemented in a displacement tolerant way. We evaluate our heuristics first on a set of synthetic lower arm motions which are well suited to illustrate the strengths and limits of our approach, then on an extended modes of locomotion problem (sensors on the upper leg) and finally on a set of exercises performed on various gym machines (sensors placed on the lower arm). In this example our heuristic raises the dis- placed recognition rate from 24% for a displaced accelerometer, which had 96% recognition when not displaced, to 82%.
Real Closed * Rings
(2010)
In this dissertation I examine a definition of real closure of commutative unitary reduced rings. I also give a characterization of rings that are real closed in this context and how one is able to arrive to such a real closure. There are sufficient examples to help the reader get a feel for real closed * rings and the real closure * of commutative unitary rings.
Database systems have been vital in all forms of data processing for a long time. In recent years, the amount of processed data has been growing dramatically, even in small projects. Nevertheless, database management systems tend to be static in terms of size and performance which makes scaling a difficult and expensive task. Because of performance and especially cost advantages more and more installed systems have a shared nothing cluster architecture. Due to the massive parallelism of the hardware programming paradigms from high performance computing are translated into data processing. Database research struggles to keep up with this trend. A key feature of traditional database systems is to provide transparent access to the stored data. This introduces data dependencies and increases system complexity and inter process communication. Therefore, many developers are exchanging this feature for a better scalability. However, explicitly managing the data distribution and data flow requires a deep understanding of the distributed system and reduces the possibilities for automatic and autonomic optimization. In this thesis we present an approach for database system scaling and allocation that features good scalability although it keeps the data distribution transparent. The first part of this thesis analyzes the challenges and opportunities for self-scaling database management systems in cluster environments. Scalability is a major concern of Internet based applications. Access peaks that overload the application are a financial risk. Therefore, systems are usually configured to be able to process peaks at any given moment. As a result, server systems often have a very low utilization. In distributed systems the efficiency can be increased by adapting the number of nodes to the current workload. We propose a processing model and an architecture that allows efficient self-scaling of cluster database systems. In the second part we consider different allocation approaches. To increase the efficiency we present a workload-aware, query-centric model. The approach is formalized; optimal and heuristic algorithms are presented. The algorithms optimize the data distribution for local query execution and balance the workload according to the query history. We present different query classification schemes for different forms of partitioning. The approach is evaluated for OLTP and OLAP style workloads. It is shown that variants of the approach scale well for both fields of application. The third part of the thesis considers benchmarks for large, adaptive systems. First, we present a data generator for cloud-sized applications. Due to its architecture the data generator can easily be extended and configured. A key feature is the high degree of parallelism that makes linear speedup for arbitrary numbers of nodes possible. To simulate systems with user interaction, we have analyzed a productive online e-learning management system. Based on our findings, we present a model for workload generation that considers the temporal dependency of user interaction.
Today the world of multimedia is almost completely device- and content-centered. It focuses it’s energy nearly exclusively on technical issues such as computing power, network specifics or content and device characteristics and capabilities. In most multimedia systems, the presentation of multimedia content and the basic controls for playback are main issues. Because of this, a very passive user experience, comparable to that of traditional TV, is most often provided. In the face of recent developments and changes in the realm of multimedia and mass media, this ”traditional” focus seems outdated. The increasing use of multimedia content on mobile devices, along with the continuous growth in the amount and variety of content available, make necessary an urgent re-orientation of this domain. In order to highlight the depth of the increasingly difficult situation faced by users of such systems, it is only logical that these individuals be brought to the center of attention. In this thesis we consider these trends and developments by applying concepts and mechanisms to multimedia systems that were first introduced in the domain of usercentrism. Central to the concept of user-centrism is that devices should provide users with an easy way to access services and applications. Thus, the current challenge is to combine mobility, additional services and easy access in a single and user-centric approach. This thesis presents a framework for introducing and supporting several of the key concepts of user-centrism in multimedia systems. Additionally, a new definition of a user-centric multimedia framework has been developed and implemented. To satisfy the user’s need for mobility and flexibility, our framework makes possible seamless media and service consumption. The main aim of session mobility is to help people cope with the increasing number of different devices in use. Using a mobile agent system, multimedia sessions can be transferred between different devices in a context-sensitive way. The use of the international standard MPEG-21 guarantees extensibility and the integration of content adaptation mechanisms. Furthermore, a concept is presented that will allow for individualized and personalized selection and face the need for finding appropriate content. All of which can be done, using this approach, in an easy and intuitive way. Especially in the realm of television, the demand that such systems cater to the need of the audience is constantly growing. Our approach combines content-filtering methods, state-of-the-art classification techniques and mechanisms well known from the area of information retrieval and text mining. These are all utilized for the generation of recommendations in a promising new way. Additionally, concepts from the area of collaborative tagging systems are also used. An extensive experimental evaluation resulted in several interesting findings and proves the applicability of our approach. In contrast to the ”lean-back” experience of traditional media consumption, interactive media services offer a solution to make possible the active participation of the audience. Thus, we present a concept which enables the use of interactive media services on mobile devices in a personalized way. Finally, a use case for enriching TV with additional content and services demonstrates the feasibility of this concept.