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Operadores de recombinação baseados em permutação para representações de grafos / Permutation based recombination operators for graph representationsLima , Roney Lopes 23 August 2017 (has links)
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Previous issue date: 2017-08-23 / Fundação de Amparo à Pesquisa do Estado de Goiás - FAPEG / The application of Evolutionary Algorithms in the solution of problems characterized
by the unviability through deterministic methods, has made this technique a vast object
investigated. Its application to Network Design Problems (NDPs), has been specially
studied. NDPs are characterized by modeling real world problems related to network
design applied to resource distribution, logistics, telecommunications, routing and even
social networks. The solution to these problems involves searching for a graph such
as trees that meets criteria for cost minimization, availability, scaling among other
constraints that make them complex. The application of Evolutionary Agorithms to NDPs
requires a Representation that codes solutions properly towards to these problems. The
Node-Depth Encoding (NDE) has been studied and presented results that have aroused the
attention of researchers in this topic. In this work, we propose the development of a new
recombination operator for NDE called NCX, based on the permutation recombination
operator CX. In addition, a method is proposed for correction of infeasible solutions due
to an invalid depth for a position in the array. The correction method is applied to both
NCX, NOX and NPBX. The operators with their methods of correction are validated
for the bias and heritability properties and finally are applied to the Bounded Diameter
Minimmum Spanning Tree (BDMSTP) through Evolutionary Algorithms developed for
this NDP. The results show that the operators have bias towards to star like trees and good
heritability of the edges and depths of the vertices. The developed operators also showed
competitiveness when applied to the BDMSTP, even surpassing other representations in
the quality of the solutions. / A aplicação de Algoritmos Evolutivos na resolução de problemas caracterizados pela
inviabilidade de solução através de métodos determinísticos, fez dessa técnica um objeto
vastamente investigado. Sua aplicação para Problemas de Projeto de Redes (PPRs), tem sido
especialmente estudada. PPRs são caracterizados por modelar problemas reais relacionados a
design de redes aplicados a distribuição de recursos, logística, telecomunicações, roteamento
e até mesmo redes sociais. A solução desses problemas envolve a busca de um grafo como
uma árvore por exemplo que atenda a critérios de minimização de custos, disponibilidade,
escala entre outras restrições que os tornam complexos. A aplicação de Algoritmos Evolutivos
a PPRs demanda a utilização de uma Representação que codifique adequadamente soluções
para esses problemas. A Representação Nó-Profundidade (RNP) tem sido estudada e
apresentado resultados que despertaram a atenção dos pesquisadores nesse tema. Neste
trabalho, propõe-se o desenvolvimento de um novo operador de recombinação para a RNP
chamado NCX, com base no operador CX de recombinação em permutações. Além disso, é
proposto um método para correção de soluções infactíveis devido a profundidade inválida para
a posição no \textit{array}. O método de correção é aplicado tanto para NCX, quanto para
outros dois operadores de recombinação já desenvolvidos para a RNP, o NOX cujo
funcioamento é inspirado no operador OX, e NPBX cujo funcionamento é inspirado no
operador PBX. Os operadores com os seus devidos métodos de correção são validados para as
propriedades tendência e hereditariedade e por fim são aplicados ao Problema da Árvore
Geradora Mínima com Restrição de Diâmetro (BDMSTP) através de Algoritmos Evolutivos
desenvolvidos para esse PPR. Os resultados mostram que os operadores possuem tendência
para árvores estrela e boa hereditariedade das arestas e das profundidades dos vértices. Os
operadores desenvolvidos também mostraram competitividade ao serem aplicados ao
BDMSTP, chegando a superar outras representações em qualidade das soluções.
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Att täcka en obekant yta med Spanning Tree Covering, Topologisk Täckande Algoritm, Trilobite / Covering an unknown area with Spanning Tree Covering, Topologisk Täckande Algoritm, TrilobiteCarlsson, Josefin, Johansson, Madeleine January 2005 (has links)
Det har blivit mer och mer vanligt med ny, datoriserad teknik i hemmen. Fler människor har ett allt stressigare liv och inte längre samma tid att ta hand om det egna hemmet. Behovet av en hjälpande hand med hushållsarbete har blivit allt större. Tänk själv att komma hem från jobbet eller skolan och så har golvet blivit skinande rent utan att Ni knappt har behövt göra någonting! Det finns idag flera olika robotar på marknaden för detta ändamål. En av dessa är den autonoma dammsugaren, som är det vi inriktat vår uppsats på. I huvudsak är uppsatsen inriktad på mjukvaran, som kan användas i en autonom dammsugare. Vi har valt att titta närmare på två stycken sökalgoritmer, som kan användas av autonoma mobila robotar, exempelvis en autonom dammsugare, som har i uppdrag att täcka en hel obekant yta. Dessa algoritmer är Spanning Tree Covering (STC) och ”A Topological Coverage Algorithm”, också kallad ”Landmark-based World Model” (fritt översatt till Topologisk Täckande Algoritm, TTA). Vi har också undersökt hur ett av Sveriges största märken på marknaden för autonoma dammsugare, nämligen Electrolux Trilobite ZA1, klarar sig i test. Vi har även analyserat testet med Trilobiten och jämfört detta med antaget beteende hos Trilobiten ifall den hade varit implementerad med sökalgoritmerna STC eller TTA. Hur fungerar sökalgoritmerna? Hur kan en autonom dammsugare hitta på en hel obekant yta? Hur beter sig Electrolux Trilobite ZA1? Täcker de alla en obekant yta? Är de effektiva?
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Approches de résolution exacte et approchée en optimisation combinatoire multi-objectif, application au problème de l'arbre couvrant de poids minimal / Exact and approximate solving approaches in multi-objective combinatorial optimization, application to the minimum weight spanning tree problemLacour, Renaud 02 July 2014 (has links)
On s'attache dans cette thèse à plusieurs aspects liés à la résolution de problèmes multi-objectifs, sans se limiter au cas biobjectif. Nous considérons la résolution exacte, dans le sens de la détermination de l'ensemble des points non dominés, ainsi que la résolution approchée dans laquelle on cherche une approximation de cet ensemble dont la qualité est garantie a priori.Nous nous intéressons d'abord au problème de la détermination d'une représentation explicite de la région de recherche. La région de recherche, étant donné un ensemble de points réalisables connus, exclut la partie de l'espace des objectifs que dominent ces points et constitue donc la partie de l'espace des objectifs où les efforts futurs doivent être concentrés dans la perspective de déterminer tous les points non dominés.Puis nous considérons le recours aux algorithmes de séparation et évaluation ainsi qu'aux algorithmes de ranking afin de proposer une nouvelle méthode hybride de détermination de l'ensemble des points non dominés. Nous montrons que celle-ci peut également servir à obtenir une approximation de l'ensemble des points non dominés. Cette méthode est implantée pour le problème de l'arbre couvrant de poids minimal. Les quelques propriétés de ce problème que nous passons en revue nous permettent de spécialiser certaines procédures et d'intégrer des prétraitements spécifiques. L'intérêt de cette approche est alors soutenu à l'aide de résultats expérimentaux. / This thesis deals with several aspects related to solving multi-objective problems, without restriction to the bi-objective case. We consider exact solving, which generates the nondominated set, and approximate solving, which computes an approximation of the nondominated set with a priori guarantee on the quality.We first consider the determination of an explicit representation of the search region. The search region, defined with respect to a set of known feasible points, excludes from the objective space the part which is dominated by these points. Future efforts to find all nondominated points should therefore be concentrated on the search region.Then we review branch and bound and ranking algorithms and we propose a new hybrid approach for the determination of the nondominated set. We show how the proposed method can be adapted to generate an approximation of the nondominated set. This approach is instantiated on the minimum spanning tree problem. We review several properties of this problem which enable us to specialize some procedures of the proposed approach and integrate specific preprocessing rules. This approach is finally supported through experimental results.
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Robustness and preferences in combinatorial optimizationHites, Romina 15 December 2005 (has links)
In this thesis, we study robust combinatorial problems with interval data. We introduce several new measures of robustness in response to the drawbacks of existing measures of robustness. The idea of these new measures is to ensure that the solutions are satisfactory for the decision maker in all scenarios, including the worst case scenario. Therefore, we have introduced a threshold over the worst case costs, in which above this threshold, solutions are no longer satisfactory for the decision maker. It is, however, important to consider other criteria than just the worst case.<p>Therefore, in each of these new measures, a second criteria is used to evaluate the performance of the solution in other scenarios such as the best case one. <p><p>We also study the robust deviation p-elements problem. In fact, we study when this solution is equal to the optimal solution in the scenario where the cost of each element is the midpoint of its corresponding interval. <p><p>Then, we finally formulate the robust combinatorial problem with interval data as a bicriteria problem. We also integrate the decision maker's preferences over certain types of solutions into the model. We propose a method that uses these preferences to find the set of solutions that are never preferred by any other solution. We call this set the final set. <p><p>We study the properties of the final sets from a coherence point of view and from a robust point of view. From a coherence point of view, we study necessary and sufficient conditions for the final set to be monotonic, for the corresponding preferences to be without cycles, and for the set to be stable.<p>Those that do not satisfy these properties are eliminated since we believe these properties to be essential. We also study other properties such as the transitivity of the preference and indifference relations and more. We note that many of our final sets are included in one another and some are even intersections of other final sets. From a robust point of view, we compare our final sets with different measures of robustness and with the first- and second-degree stochastic dominance. We show which sets contain all of these solutions and which only contain these types of solutions. Therefore, when the decision maker chooses his preferences to find the final set, he knows what types of solutions may or may not be in the set.<p><p>Lastly, we implement this method and apply it to the Robust Shortest Path Problem. We look at how this method performs using different types of randomly generated instances. <p> / Doctorat en sciences, Orientation recherche opérationnelle / info:eu-repo/semantics/nonPublished
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Performance Optimization of Network Protocols for IEEE 802.11s-based Smart Grid CommunicationsSaputro, Nico 16 June 2016 (has links)
The transformation of the legacy electric grid to Smart Grid (SG) poses numerous challenges in the design and development of an efficient SG communications network. While there has been an increasing interest in identifying the SG communications network and possible SG applications, specific research challenges at the network protocol have not been elaborated yet. This dissertation revisited each layer of a TCP/IP protocol stack which basically was designed for a wired network and optimized their performance in IEEE 802.11s-based Advanced Metering Infrastructure (AMI) communications network against the following challenges: security and privacy, AMI data explosion, periodic simultaneous data reporting scheduling, poor Transport Control Protocol (TCP) performance, Address Resolution Protocol (ARP) broadcast, and network interoperability. To address these challenges, layered and/or cross-layered protocol improvements were proposed for each layer of TCP/IP protocol stack. At the application layer, a tree-based periodic time schedule and a time division multiple access-based scheduling were proposed to reduce high contention when smart meters simultaneously send their reading. Homomorphic encryption performance was investigated to handle AMI data explosion while providing security and privacy. At the transport layer, a tree-based fixed Retransmission Timeout (RTO) setting and a path-error aware RTO that exploits rich information of IEEE 802.11s data-link layer path selection were proposed to address higher delay due to TCP mechanisms. At the network layer, ARP requests create broadcast storm problems in IEEE 802.11s due to the use of MAC addresses for routing. A secure piggybacking-based ARP was proposed to eliminate this issue. The tunneling mechanisms in the LTE network cause a downlink traffic problem to IEEE 802.11s. For the network interoperability, at the network layer of EPC network, a novel UE access list was proposed to address this issue. At the data-link layer, to handle QoS mismatch between IEEE 802.11s and LTE network, Dual Queues approach was proposed for the Enhanced Distributed Channel Access. The effectiveness of all proposed approaches was validated through extensive simulation experiments using a network simulator. The simulation results showed that the proposed approaches outperformed the traditional TCP/IP protocols in terms of end to end delay, packet delivery ratio, throughput, and collection time.
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藉由小世界股票網路探索不同景氣區間的差異性 / Exploring economy-realated differences by small-world stock networks邱建堯, Chiu, Chien Yao Unknown Date (has links)
股票市場對投資者而言是以極大化自有資產為目的,因此如何辨別不同景氣區間對股市的影響為投資者感興趣的議題。傳統上,使用統計資料來幫助我們比較不同景氣區間之差異,然而股票市場之複雜、非線性及不可預測性也經常成為各統計資料失準的關鍵,因此,本篇論文以複雜網路作為分析股票市場之模型,並將各個股票表示成節點、股價變化之關聯性作為連結下,建立出複雜網路,藉此探討股市中的景氣差異。
在本研究中,先利用國發會制定的景氣對策信號,來幫助我們選取四段景氣區間,接著將台積電作為網路核心建構個股的相關網路。並以最小生成樹(Minimum Spanning Tree) 將複雜的股票網路簡單化。同時我們計算出各股相關網路之全域網路參數(Global Network Parameters)及區域網路參數(Regional Network Parameters),以利我們討論兩段景氣好區間與兩段景氣差區間之差異。最後,我們將股市相關網路以分層樹(Hierarchical Tree)來表示,以了解網路分群的結果。
結果顯示,我們建構的個股相關網路符合小世界網路特性,在全域網路參數中,景氣好相關網路之常規化平均特徵路徑(Normalization Average Characteristic Path Length)及景氣差相關網路中之平均群聚係數(Average Clustering Coefficient)、平均特徵路徑(Average Characteristic Path Length)、常規化平均特徵路徑(Normalization Average Characteristic Path Length)有顯著差異。
在區域網路參數中,在景氣好相關網路中,被選為網路樞紐並有顯著差異之個股有台達化、宜進與華通,景氣差相關網路則有瑞利、日月光、矽品及萬企。在景氣好相關網路比較時,台積電的連結度與點效率皆具有顯著差異。
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A Structure based Methodology for Retrieving Similar Rasters and ImagesJayaraman, Sambhavi 22 June 2015 (has links)
No description available.
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離散條件機率分配之相容性研究 / On compatibility of discrete conditional distributions陳世傑, Chen, Shih Chieh Unknown Date (has links)
設二個隨機變數X1 和X2,所可能的發生值分別為{1,…,I}和{1,…,J}。條件機率分配模型為二個I × J 的矩陣A 和B,分別代表在X2 給定的條件下X1的條件機率分配和在X1 給定的條件下X2的條件機率分配。若存在一個聯合機率分配,而且它的二個條件機率分配剛好就是A 和B,則稱A和B相容。我們透過圖形表示法,提出新的二個離散條件機率分配會相容的充分必要條件。另外,我們證明,二個相容的條件機率分配會有唯一的聯合機率分配的充分必要條件為:所對應的圖形是相連的。我們也討論馬可夫鏈與相容性的關係。 / For two discrete random variables X1 and X2 taking values in {1,…,I} and {1,…,J}, respectively, a putative conditional model for the joint distribution of X1 and X2 consists of two I × J matrices representing the conditional distributions of X1 given X2 and of X2 given X1. We say that two conditional distributions (matrices) A and B are compatible if there exists a joint distribution of X1 and X2 whose two conditional distributions are exactly A and B. We present new versions of necessary and sufficient conditions for compatibility of discrete conditional distributions via a graphical representation. Moreover, we show that there is a unique joint distribution for two given compatible conditional distributions if and only if the corresponding graph is connected. Markov chain characterizations are also presented.
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Agrupamento de sequências de miRNA utilizando aprendizado não-supervisionado baseado em grafosKasahara, Viviani Akemi 12 August 2016 (has links)
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Previous issue date: 2016-08-12 / Não recebi financiamento / Cluster analysis is the organization of a collection of patterns into clusters based on similarity
which is determined by using properties of data. Clustering techniques can be useful in a
variety of knowledge domains such as biotechnology, computer vision, document retrieval and
many others. An interesting area of biology involves the concept of microRNAs (miRNAs) that
are approximately 22 nucleotide-long non-coding RNA molecules that play important roles in
gene regulation. Clustering miRNA sequences can help to understand and explore sequences
belonging to the same cluster that has similar biological functions. This research work
investigates and explores seven unsupervised clustering algorithms based on graphs that can be
divided into three categories: algorithm based on region of influence, algorithm based on
minimum spanning tree and spectral algorithm. To assess the contribution of the proposed
algorithms, data from miRNA families stored in the online miRBase database were used in the
conducted experiments. The results of these experiments were presented, analysed and
evaluated using clustering validation indexes as well as visual analysis. / A análise de agrupamento é uma organização de coleção de padrões em grupos, baseando-se na
similaridade das propriedades pertencentes aos dados. A técnica de agrupamento pode ser
utilizado em muitas áreas de conhecimento como biotecnologia, visão computacional,
recuperação de documentos, entre outras. Uma área interessante da biologia envolve o conceito
de microRNAs (miRNAs), que são moléculas não-codificadas de RNA com aproximadamente
22 nucleotídeos e que desempenham um papel importante na regulação dos genes. O
agrupamento de sequências de miRNA podem ajudar em sua exploração e entendimento, pois
as sequências que pertencem ao mesmo grupo possuem uma função biológica similar. Esse
trabalho explora e investiga sete algoritmos de agrupamentos não-supervisionados baseados em
grafos que podem ser divididos em três categorias: algoritmos baseados em região de
influência, algoritmos baseados em árvore spanning minimal e algoritmo espectral. Para avaliar
a contribuição dos algoritmos propostos, os experimentos conduzidos utilizaram os dados das
famílias de miRNAs disponíveis no banco de dados denominado miRBase. Os resultados dos
experimentos foram apresentados, analisados e avaliados usando índices de validação de
agrupamento e análise visual.
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Analysis and Reconstruction of the Hematopoietic Stem Cell Differentiation Tree: A Linear Programming Approach for Gene SelectionGhadie, Mohamed A. January 2015 (has links)
Stem cells differentiate through an organized hierarchy of intermediate cell types to terminally differentiated cell types. This process is largely guided by master transcriptional regulators, but it also depends on the expression of many other types of genes. The discrete cell types in the differentiation hierarchy are often identified based on the expression or non-expression of certain marker genes. Historically, these have often been various cell-surface proteins, which are fairly easy to assay biochemically but are not necessarily causative of the cell type, in the sense of being master transcriptional regulators. This raises important questions about how gene expression across the whole genome controls or reflects cell state, and in particular, differentiation hierarchies. Traditional approaches to understanding gene expression patterns across multiple conditions, such as principal components analysis or K-means clustering, can group cell types based on gene expression, but they do so without knowledge of the differentiation hierarchy. Hierarchical clustering and maximization of parsimony can organize the cell types into a tree, but in general this tree is different from the differentiation hierarchy. Using hematopoietic differentiation as an example, we demonstrate how many genes other than marker genes are able to discriminate between different branches of the differentiation tree by proposing two models for detecting genes that are up-regulated or down-regulated in distinct lineages. We then propose a novel approach to solving the following problem: Given the differentiation hierarchy and gene expression data at each node, construct a weighted Euclidean distance metric such that the minimum spanning tree with respect to that metric is precisely the given differentiation hierarchy. We provide a set of linear constraints that are provably sufficient for the desired construction and a linear programming framework to identify sparse sets of weights, effectively identifying genes that are most relevant for discriminating different parts of the tree. We apply our method to microarray gene expression data describing 38 cell types in the hematopoiesis hierarchy, constructing a sparse weighted Euclidean metric that uses just 175 genes. These 175 genes are different than the marker genes that were used to identify the 38 cell types, hence offering a novel alternative way of discriminating different branches of the tree. A DAVID functional annotation analysis shows that the 175 genes reflect major processes and pathways active in different parts of the tree. However, we find that there are many alternative sets of weights that satisfy the linear constraints. Thus, in the style of random-forest training, we also construct metrics based on random subsets of the genes and compare them to the metric of 175 genes. Our results show that the 175 genes frequently appear in the random metrics, implicating their significance from an empirical point of view as well. Finally, we show how our linear programming method is able to identify columns that were selected to build minimum spanning trees on the nodes of random variable-size matrices.
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