Multi-Level Visual Alphabets

A central debate in visual perception theory is the argument for indirect versus direct perception; i.e., the use of intermediate, abstract, and hierarchical representations versus direct semantic interpretation of images through interaction with the outside world. We present a content-based representation that combines both approaches. The previously developed Visual Alphabet method is extended with a hierarchy of representations, each level feeding into the next one, but based on features that are not abstract but directly relevant to the task at hand. Explorative benchmark experiments are carried out on face images to investigate and explain the impact of the key parameters such as pattern size, number of prototypes, and distance measures used. Results show that adding an additional middle layer improves results, by encoding the spatial co-occurrence of lower-level pattern prototypes

Multi-Level Model

Is an original paper, which contains a hierarchical model with three levels, for determining the linearized non-homogeneous and homogeneous credibility premiums at company level, at sector level and at contract level, founded on the relevant covariance relations between the risk premium, the observations and the weighted averages. We give a rather explicit description of the input data for the multi- level hierarchical model used, only to show that in practical situations, there will always be enough data to apply credibility theory to a real insurance portfolio.hierarchical structure with three levels, observable variables with associated weights, the credibility results

Financing multi-level government

The topic of multi-level taxation is currently highly relevant to two issues – European tax harmonisation and local government taxation in the UK. This paper presents a general economic analysis of multi-level government and taxation and the characteristics that might make a particular tax appropriate as a regional or local tax. In applying this analysis to European tax harmonisation it is clear that there is little harmony in the meaning of the term and a classification is presented. The main driving force for EU tax harmonisation has been the promotion of economic efficiency in the form of free trade in order to achieve the establishment and functioning of the European internal market. Differing regional needs and preferences regarding public sector expenditure and taxation may not always be properly recognised. It is suggested that a greater emphasis be placed on equity as an economic criteria in developing European tax harmonisation. Applying the analysis specifically to local government in the UK, it is clear that taxes on property meet most of the criteria relating both to taxes in general and lower level taxes in particular. However as in the case of European tax harmonisation, there seems to have been insufficient account taken of matters of equity as compared to economic efficiency. It has been the issue of equity that caused the demise of local authority domestic rates and the community charge in turn and continues to raise difficulties with the present council tax. It is therefore suggested that coverage of the income tax feature of council tax – council tax rebates – be extended. The experience to date suggests equity as well as economic efficiency is important in the successful development of both European tax harmonisation and UK local government finance and perhaps should be given greater prominence in the development of systems of multi-level taxation more generally.tax harmonisation; local government taxation; council tax

Multi-level Governance in rural development: Analysing experiences from LEADER for a Community-Led Local Development (CLLD)

In the last funding periods there was steady increase in the number of LEADER-regions in Europe, and, at least in Germany, it is already evident that this gain will continue: for the 2014-2020 funding period there around 300 LAGs expected in comparison to 244 LAGs in the last period. For the new funding period new regulations envisages a Common Strategic Framework (CSF) to provide all EU Funds with a set of basic rules in line with the general principles - partnership, multi-level governance, equality and sustainability. Now there are common options for a so-called “Community-Led Local Development” (CLLD). Although LEADER is commonly called a bottom-up approach, it has to be pointed out that there is a high influence through a superordinated framework of funding regulations. So more precisely LEADER is neither "top-down" nor "bottom-up", but can classified as a “down up”-approach. This clarifies the basic understanding for the terms used in the context of multi-level governance. Second there is a look on the state of the art of LEADER-related research in the view of LEADER as a "down up" approach. Anyhow the experiences with LEADER in the last 25 years can give valuable insights. Altogether, the literature review already supports the need to have a multi-level-view on CLLD

Multi-level automated sub-zoning of water distribution systems

Water distribution systems (WDS) are complex pipe networks with looped and branching topologies that often comprise of thousands of links and nodes. This work presents a generic framework for improved analysis and management of WDS by partitioning the system into smaller (almost) independent sub-systems with balanced loads and minimal number of interconnections. This paper compares the performance of three classes of unsupervised learning algorithms from graph theory for practical sub-zoning of WDS: (1) Graph clustering – a bottom-up algorithm for clustering n objects with respect to a similarity function, (2) Community structure – a bottom-up algorithm based on network modularity property, which is a measure of the quality of network partition to clusters versus randomly generated graph with respect to the same nodal degree, and (3) Graph partitioning – a flat partitioning algorithm for dividing a network with n nodes into k clusters, such that the total weight of edges crossing between clusters is minimized and the loads of all the clusters are balanced. The algorithms are adapted to WDS to provide a decision support tool for water utilities. The proposed methods are applied and results are demonstrated for a large-scale water distribution system serving heavily populated areas in Singapore

Multi-level algorithms for modularity clustering

Modularity is one of the most widely used quality measures for graph clusterings. Maximizing modularity is NP-hard, and the runtime of exact algorithms is prohibitive for large graphs. A simple and effective class of heuristics coarsens the graph by iteratively merging clusters (starting from singletons), and optionally refines the resulting clustering by iteratively moving individual vertices between clusters. Several heuristics of this type have been proposed in the literature, but little is known about their relative performance. This paper experimentally compares existing and new coarsening- and refinement-based heuristics with respect to their effectiveness (achieved modularity) and efficiency (runtime). Concerning coarsening, it turns out that the most widely used criterion for merging clusters (modularity increase) is outperformed by other simple criteria, and that a recent algorithm by Schuetz and Caflisch is no improvement over simple greedy coarsening for these criteria. Concerning refinement, a new multi-level algorithm is shown to produce significantly better clusterings than conventional single-level algorithms. A comparison with published benchmark results and algorithm implementations shows that combinations of coarsening and multi-level refinement are competitive with the best algorithms in the literature.Comment: 12 pages, 10 figures, see http://www.informatik.tu-cottbus.de/~rrotta/ for downloading the graph clustering softwar