Evolutionary algorithm for state encoding

This paper presents an encoding technique that is common for many different logic synthesis problems. It enables us to construct a system of Boolean functions, and then to decompose this system into sub-systems in such a way that a dependency of functions, included into each sub-system, on the respective arguments is reduced. For complex applications such type of encoding has a high computational complexity and the paper proposes a novel evolutionary algorithm for the solution of this problemIFIP International Conference on Artificial Intelligence in Theory and Practice - Evolutionary ComputationRed de Universidades con Carreras en Informática (RedUNCI

Generalized disjunction decomposition for evolvable hardware

Evolvable hardware (EHW) refers to self-reconfiguration hardware design, where the configuration is under the control of an evolutionary algorithm (EA). One of the main difficulties in using EHW to solve real-world problems is scalability, which limits the size of the circuit that may be evolved. This paper outlines a new type of decomposition strategy for EHW, the “generalized disjunction decomposition” (GDD), which allows the evolution of large circuits. The proposed method has been extensively tested, not only with multipliers and parity bit problems traditionally used in the EHW community, but also with logic circuits taken from the Microelectronics Center of North Carolina (MCNC) benchmark library and randomly generated circuits. In order to achieve statistically relevant results, each analyzed logic circuit has been evolved 100 times, and the average of these results is presented and compared with other EHW techniques. This approach is necessary because of the probabilistic nature of EA; the same logic circuit may not be solved in the same way if tested several times. The proposed method has been examined in an extrinsic EHW system using the$(1 + lambda)$evolution strategy. The results obtained demonstrate that GDD significantly improves the evolution of logic circuits in terms of the number of generations, reduces computational time as it is able to reduce the required time for a single iteration of the EA, and enables the evolution of larger circuits never before evolved. In addition to the proposed method, a short overview of EHW systems together with the most recent applications in electrical circuit design is provided

Evolutionary algorithm for state encoding

This paper presents an encoding technique that is common for many different logic synthesis problems. It enables us to construct a system of Boolean functions, and then to decompose this system into sub-systems in such a way that a dependency of functions, included into each sub-system, on the respective arguments is reduced. For complex applications such type of encoding has a high computational complexity and the paper proposes a novel evolutionary algorithm for the solution of this problemIFIP International Conference on Artificial Intelligence in Theory and Practice - Evolutionary ComputationRed de Universidades con Carreras en Informática (RedUNCI

Chose the right mutation rate for better evolve combinational logic circuits

Evolvable hardware (EHW) is a developing field that applies evolutionary algorithm (EA) to automatically design circuits, antennas, robot controllers etc. A lot of research has been done in this area several different EAs have been introduced to tackle numerous problems, as scalability, evolvability etc. However every time a specific EA is chosen for solving a particular task, all its components, such as population size, initialization, selection mechanism, mutation rate, and genetic operators, should be selected in order to achieve the best results. In the last three decade the selection of the right parameters for the EA’s components for solving different “testproblems” has been investigated. In this paper the behaviour of mutation rate for designing logic circuits, which has not been done before, has been deeply analyzed. The mutation rate for an EHW system modifies the number of inputs of each logic gates, the functionality (for example from AND to NOR) and the connectivity between logic gates. The behaviour of the mutation has been analyzed based on the number of generations, genotype redundancy and number of logic gates for the evolved circuits. The experimental results found provide the behaviour of the mutation rate during evolution for the design and optimization of simple logic circuits. The experimental results propose the best mutation rate to be used for designing combinational logic circuits. The research presented is particular important for those who would like to implement a dynamic mutation rate inside the evolutionary algorithm for evolving digital circuits. The researches on the mutation rate during the last 40 years are also summarized.Dr Hemantha Kodikara-Arachch

Possibilities and Limitations of Applying Evolvable Hardware to Real-World Applications

Evolvable Hardware (EHW) has been proposed as a new method for designing systems for real-world applications. This paper contains a classification of the published work on this topic. Further, a thorough discussion about the limitations of the present EHW and possible solutions to these are proposed. EHW has been applied to a wide range of applications. However, to solve more complex applications, the evolutionary schemes should be improved

Arquitecturas reconfiguráveis para problemas de optimização combinatória

Os problemas combinatórios têm uma gama extremamente ampla de aplicações numa variedade de áreas de engenharia, incluindo teste de circuitos electrónicos, reconhecimento de padrões, síntese lógica, etc. Muitos dos problemas de interesse pertencem às classes NP-hard e NP-complete, o que implica que os algoritmos relevantes têm no pior caso complexidade exponencial. Este facto impede a solução de muitos problemas práticos com a ajuda de computadores convencionais. As implementações em circuitos integrados específicos também não são viáveis, em particular por causa da própria heterogeneidade dos problemas combinatórios. Uma solução alternativa consiste no uso de dispositivos reconfiguráveis que podem ser personalizados para um algoritmo específico e reutilizados para outros algoritmos via uma simples reprogramação da sua estrutura interna. As implementações baseadas em hardware reconfigurável permitem optimizar a execução dos algoritmos relevantes com a ajuda de técnicas tais como processamento paralelo, unidades funcionais personalizadas, etc. Tais implementações possibilitam conter o efeito de crescimento exponencial do tempo de computação, permitindo deste modo a solução de problemas combinatórios complexos. Recentemente foram desenvolvidos vários sistemas reconfiguráveis destinados a resolver problemas combinatórios. Estes são principalmente baseados na ideia de hardware específico para a instância, em que para cada instância do problema é gerado um circuito particular. Nesta tese exploramos duas abordagens alternativas. A primeira é orientada para o domínio e permite processar uma variedade de problemas da área da computação combinatória. Para tal é projectado e implementado um processador combinatório reconfigurável e são desenvolvidos métodos e ferramentas que asseguram a sua reconfiguração dinâmica parcial. A segunda abordagem é orientada para a aplicação e é destinada a resolver um problema combinatório específico. Em particular, é proposta uma arquitectura inovadora para a solução do problema de satisfação booleana com a ajuda de uma combinação de software e de hardware reconfigurável. A técnica adoptada elimina a compilação de hardware específica à instância e permite processar problemas que excedem os recursos lógicos disponíveis. São também exploradas as possibilidades de implementação em hardware reconfigurável de estratégias evolutivas para o caso do problema do caixeiro viajante. Esta tese estende o domínio de aplicação da computação reconfigurável ao demonstrar que esta é capaz de acelerar algoritmos com fluxos de controlo complexos.Combinatorial problems have an extremely wide range of practical applications in a variety of engineering areas, including the testing of electronic circuits, pattern recognition, logic synthesis, etc. Many of the problems of interest belong to the classes NP-hard and NP-complete, which implies that the relevant algorithms have an exponential worst-case complexity. This fact precludes the solution of many practical problems with conventional computers. ASIC-based implementations are also not viable, in particular because of the inherent heterogeneity of combinatorial problems. Reconfigurable devices offer an alternative solution, which can be customized to the requirements of a specific algorithm and reutilized for other algorithms via a simple reprogramming of their internal structure. Implementations based on reconfigurable hardware permit the execution of the relevant algorithms to be optimized with the aid of such techniques as parallel processing, personalized functional units, etc. Such implementations allow the effect of exponential growth in the computation time to be delayed, thus enabling more complex problem instances to be solved. Recently, a few reconfigurable engines for combinatorial problems have been developed. They are mainly based on the idea of instance-specific hardware, which assumes that a particular circuit is generated for each problem instance. In this thesis we explore two alternative approaches. The first, domain-specific, approach enables a variety of problems in the area of combinatorial computation to be addressed. For this purpose, a reconfigurable combinatorial processor has been designed and implemented and a number of methods and tools that support its partial dynamic reconfiguration have been developed. The second, application-specific, approach is oriented towards solving individual combinatorial problems. In particular, a novel architecture is proposed for solving the Boolean satisfiability problem with the aid of software and reconfigurable hardware. The adopted technique avoids instance-specific hardware compilation and permits problems that exceed the available logic resources to be solved. The possibility of implementing evolutionary strategies for the traveling salesman problem in reconfigurable hardware is also explored. This thesis extends the application domain of reconfigurable computing by demonstrating that it is effective in accelerating algorithms with complex control flows

Tissu numérique cellulaire à routage et configuration dynamiques

In the design of new machines or in the development of new concepts, mankind has often observed nature, looking for useful ideas and sources of inspiration. The design of electronic circuits is no exception, and a considerable number of realizations have drawn inspiration from three aspects of natural systems : the evolution of species (Phylogenesis), the development of an organism starting from a single cell (Ontogenesis), and learning, as performed by our brain (Epigenesis). These three axes, grouped under the acronym POE, have for the most part been exploited separately : evolutionary principles allow to solve problems for which it is hard to find a solution with a deterministic method, while some electronic circuits draw inspiration from healing process in living beings to achieve self-repair, and artificial neural networks have the capability to efficiently execute a wide range of tasks. At this time, no electronic tissue capable of bringing them together seems to exist. The introduction of reconfigurable circuits called Field Programmable Gate Arrays (FPGAs), whose behavior can be redefined as often as desired, made prototyping such systems easier. FPGAs, by allowing a relatively simple implementation in hardware, can considerably increase the systems' performance and are thus extensively used by researchers. However, they lack plasticity, not being able to easily modify themselves without an external intervention. This PhD thesis, developed in the framework of the European POEtic project, proposes to define a new reconfigurable electronic circuit, with the goal of supplying a new substrate for bio-inspired applications that bring all three axes into play. This circuit is mainly composed of a microprocessor and an array of reconfigurable elements, the latter having been designed during this thesis. Evolutionary processes are executed by the microprocessor, while epigenetic and ontogenetic mechanisms are applied in the reconfigurable array, to entities seen as multicellular artificial organisms. Relatively similar to current commercial FPGAs, this subsystem offers however some unique features. First, the basic elements of the array have the capability to partially reconfigure other elements. Auto-replication and differentiation mechanisms can exploit this capability to let an organism grow or to modify its behavior. Second, a distributed routing layer allows to dynamically create connections between parts of the circuit at runtime. With this feature, cells (artificial neurons, for example) implemented in the reconfigurable array can initiate new connections in order to modify the global system behavior. This distributed routing mechanism, one of the major contributions of this thesis, induced the realization of several algorithms. Based on a parallel implementation of Lee's algorithm, these algorithms are totally distributed, no global control being necessary to create new data paths. Four algorithms have been defined implemented in hardware in the form of routing units connected to 3, 4, 6, or 8 neighbors. These units are all identical and are responsible for the routing processes. An analysis of their properties allows us to define the best algorithm, coupled with the most efficient neighborhood, in terms of congestion and of the number of transistors needed for a hardware realization. We finish the routing chapter by proposing a fifth algorithm that, unlike the previous ones, is constructed only through local interactions between routing units. It offers a better scalability, at the price of increased hardware overhead. Finally, the POEtic chip, in which one of our algorithms has been implemented, has been physically realized. We present different POE mechanisms that take advantage of its new features. Among these mechanisms, we can notably cite auto-replication, evolvable hardware, developmental systems, and self-repair. All of these mechanisms have been developed with the help of a circuit simulator, also designed in the framework of this thesis

Exploiting development to enhance the scalability of hardware evolution.

Evolutionary algorithms do not scale well to the large, complex circuit design problems typical of the real world. Although techniques based on traditional design decomposition have been proposed to enhance hardware evolution's scalability, they often rely on traditional domain knowledge that may not be appropriate for evolutionary search and might limit evolution's opportunity to innovate. It has been proposed that reliance on such knowledge can be avoided by introducing a model of biological development to the evolutionary algorithm, but this approach has not yet achieved its potential. Prior demonstrations of how development can enhance scalability used toy problems that are not indicative of evolving hardware. Prior attempts to apply development to hardware evolution have rarely been successful and have never explored its effect on scalability in detail. This thesis demonstrates that development can enhance scalability in hardware evolution, primarily through a statistical comparison of hardware evolution's performance with and without development using circuit design problems of various sizes. This is reinforced by proposing and demonstrating three key mechanisms that development uses to enhance scalability: the creation of modules, the reuse of modules, and the discovery of design abstractions. The thesis includes several minor contributions: hardware is evolved using a common reconfigurable architecture at a lower level of abstraction than reported elsewhere. It is shown that this can allow evolution to exploit the architecture more efficiently and perhaps search more effectively. Also the benefits of several features of developmental models are explored through the biases they impose on the evolutionary search. Features that are explored include the type of environmental context development uses and the constraints on symmetry and information transmission they impose, genetic operators that may improve the robustness of gene networks, and how development is mapped to hardware. Also performance is compared against contemporary developmental models