Above are papers related to the following paper: [Paper_ID] Paper #647413. 	[Title] Solving 3-SAT by GAs Adapting Constraint Weights [Abstract] Handling NP complete problems with GAs is a great challenge. In particular the presence of constraints makes finding solutions hard for a GA. In this paper we present a problem independent constraint handling mechanism, Stepwise Adaptation of Weights (SAW), and apply it for solving the 3-SAT problem. Our experiments prove that the SAW mechanism substantially increases GA performance. Furthermore, we compare our SAW-ing GA with the best heuristic technique we could trace, WGSAT, and conclude that the GA is superior to the heuristic method. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #646913. 	[Title] Graph Coloring with Adaptive Evolutionary Algorithms [Abstract] This paper presents the results of an experimental investigation on solving graph coloring problems with Evolutionary Algorithms (EA). After testing different algorithm variants we conclude that the best option is an asexual EA using order-based representation and an adaptation mechanism that periodically changes the fitness function during the evolution. This adaptive EA is general, using no domain specific knowledge, except, of course, from the decoder (fitness function). We compare this adaptive EA to a powerful traditional graph coloring technique DSatur and the Grouping GA on a wide range of problem instances with different size, topology and edge density. The results show that the adaptive EA is superior to the Grouping GA and outperforms DSatur on the hardest problem instances. Furthermore, it scales up better with the problem size than the other two algorithms and indicates a linear computational complexity. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #58758. 	[Title] A Generalized Permutation Approach to Job Shop Scheduling with Genetic Algorithms [Abstract] In order to sequence the tasks of a job shop problem (JSP) on a number of machines related to the technological machine order of jobs, a new representation technique mathematically known as "permutation with repetition" is presented. The main advantage of this single chromosome representation is in analogy to the permutation scheme of the traveling salesman problem (TSP) that it cannot produce illegal sets of operation sequences (infeasible symbolic solutions). As a consequence of the representation scheme a new crossover operator preserving the initial scheme structure of permutations with repetition will be sketched. Its behavior is similar to the well known Order-Crossover for simple permutation schemes. Actually the GOX operator for permutations with repetition arises from a Generalisation of OX. Computational experiments show, that GOX passes the information from a couple of parent solutions efficiently to offspring solutions. Together, the new representation and GOX support the cooperative aspect of the genetic search for scheduling problems strongly. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #647447. 	[Title] Performance of Multi-Parent Crossover Operators on Numerical Function Optimization Problems [Abstract] The multi-parent scanning crossover, generalizing the traditional uniform crossover, and diagonal crossover, generalizing 1-point (n-point) crossovers, were introduced in [5]. In subsequent publications, see [6, 18, 19], several aspects of multi-parent recombination are discussed. Due to space limitations, however, a full overview of experimental results showing the performance of multi-parent GAs on numerical optimization problems has never been published. This technical report is meant to fill this gap and make results available. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1688. 	[Title] Using Neural Networks and Genetic Algorithms as Heuristics for NP-Complete Problems [Abstract] Paradigms for using neural networks (NNs) and genetic algorithms (GAs) to heuristically solve boolean satisfiability (SAT) problems are presented. Since SAT is NP-Complete, any other NP-Complete problem can be transformed into an equivalent SAT problem in polynomial time, and solved via either paradigm. This technique is illustrated for hamiltonian circuit (HC) problems. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #646809. 	[Title] Orgy in the Computer: Multi-Parent Reproduction in Genetic Algorithms [Abstract] In this paper we investigate the phenomenon of multi-parent reproduction, i.e. we study recombination mechanisms where an arbitrary n &gt; 1 number of parents participate in creating children. In particular, we discuss scanning crossover that generalizes the standard uniform crossover and diagonal crossover that generalizes 1-point crossover, and study the effects of different number of parents on the GA behavior. We conduct experiments on tough function optimization problems and observe that by multi-parent operators the performance of GAs can be enhanced significantly. We also give a theoretical foundation by showing how these operators work on distributions. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1133338. 	[Title] Vector Quantizer Design Using Genetic Algorithms [Abstract] A Genetic Algorithmic (GA) approach to vector quantizer design that combines the conventional Generalized Lloyd Algorithm (GLA) [6] is presented. We refer to this hybrid as the Genetic Generalized Lloyd Algorithm (GGLA). It works briefly as follows: A finite number of codebooks, called chromosomes, are selected. Each codebook undergoes iterative cycles of reproduction. We perform experiments with various alternative design choices using Gaussian-Markov processes, speech, and image as source data and signal-to-noise ratio (SNR) as the performance measure. In most cases, the GGLA showed performance improvements with respect to the GLA. We also compare our results with the Zador-Gersho formula [2, 9]. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1154076. 	[Title] Multi-parent Recombination [Abstract] In this section we survey recombination operators that can apply more than two parents to create offspring. Some multi-parent recombination operators are defined for a fixed number of parents, e.g. have arity three, in some operators the number of parents is a random number that might be greater than two, and in yet other operators the arity is a parameter that can be set to an arbitrary integer number. We pay special attention to this latter type of operators and summarize results on the effect of operator arity on EA performance. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1694. 	[Title] A NN Algorithm for Boolean Satisfiability Problems [Abstract] Satisfiability (SAT) refers to the task of finding a truth assignment that makes an arbitrary boolean expression true. This paper compares a neural network algorithm (NNSAT) with GSAT [4], a greedy algorithm for solving satisfiability problems. GSAT can solve problem instances that are difficult for traditional satisfiability algorithms. Results suggest that NNSAT scales better as the number of variables increase, solving at least as many hard SAT problems. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #35. 	[Title] 4 Implementing Application Specific Routines  Genetic algorithms in search, optimization, and machine learning. Reading, MA: Addison-Wesley. [Abstract] To implement a specific application, you should only have to change the file app.c. Section 2 describes the routines in app.c in detail. If you use additional variables for your specific problem, the easiest method of making them available to other program units is to declare them in sga.h and external.h. However, take care that you do not redeclare existing variables. Two example applications files are included in the SGA-C distribution. The file app1.c performs the simple example problem included with the Pascal version; finding the maximum of x 10 , where x is an integer interpretation of a chromosome. A slightly more complex application is include in app2.c. This application illustrates two features that have been added to SGA-C. The first of these is the ithruj2int function, which converts bits i through j in a chromosome to an integer. The second new feature is the utility pointer that is associated with each population member. The example application interprets each chromosome as a set of concatenated integers in binary form. The lengths of these integer fields is determined by the user-specified value of field size, which is read in by the function app data(). The field size must be less than the smallest of the chromosome length and the length of an unsigned integer. An integer array for storing the interpreted form of each chromosome is dynamically allocated and assigned to the chromosome's utility pointer in app malloc(). The ithruj2int routine (see utility.c) is used to translate each chromosome into its associated vector. The fitness for each chromosome is simply the sum of the squares of these integers. This example application will function for any chromosome length. SGA-C is intended to be a simple program for first-time GA experimentation. It is not intended to be definitive in terms of its efficiency or the grace of its implementation. The authors are interested in the comments, criticisms, and bug reports from SGA-C users, so that the code can be refined for easier use in subsequent versions. Please email your comments to rob@galab2.mh.ua.edu, or write to TCGA: The authors gratefully acknowledge support provided by NASA under Grant NGT-50224 and support provided by the National Science Foundation under Grant CTS-8451610. We also thank Hillol Kargupta for donating his tournament selection implementation. Booker, L. B. (1982). Intelligent behavior as an adaptation to the task environment (Doctoral dissertation, Technical Report No. 243. Ann Arbor: University of Michigan, Logic of Computers Group). Dissertations Abstracts International, 43(2), 469B. (University Microfilms No. 8214966) Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #152483. 	[Title] An Analysis of the Effects of Neighborhood Size and Shape on Local Selection Algorithms [Abstract] The increasing availability of finely-grained parallel architectures has resulted in a variety of evolutionary algorithms (EAs) in which the population is spatially distributed and local selection algorithms operate in parallel on small, overlapping neighborhoods. The effects of design choices regarding the particular type of local selection algorithm as well as the size and shape of the neighborhood are not particularly well understood and are generally tested empirically. In this paper we extend the techniques used to more formally analyze selection methods for sequential EAs and apply them to local neighborhood models, resulting in a much clearer understanding of the effects of neighborhood size and shape. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #69284. 	[Title] An Overview of Genetic Algorithms Part 1, Fundamentals [Abstract]  Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1153065. 	[Title]  [Abstract] CBR Assisted Explanation of GA Results Computer Science Technical Report number 361 CRCC Technical Report number 63 Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1153577. 	[Title]  [Abstract] Eugenic Evolution for Combinatorial Optimization John William Prior Report AI98-268 May 1998 Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #287787. 	[Title] LIBGA: A USER-FRIENDLY WORKBENCH FOR ORDER-BASED GENETIC ALGORITHM RESEARCH [Abstract] Over the years there has been several packages developed that provide a workbench for genetic algorithm (GA) research. Most of these packages use the generational model inspired by GENESIS. A few have adopted the steady-state model used in Genitor. Unfortunately, they have some deficiencies when working with order-based problems such as packing, routing, and scheduling. This paper describes LibGA, which was developed specifically for order-based problems, but which also works easily with other kinds of problems. It offers an easy to use `user-friendly' interface and allows comparisons to be made between both generational and steady-state genetic algorithms for a particular problem. It includes a variety of genetic operators for reproduction, crossover, and mutation. LibGA makes it easy to use these operators in new ways for particular applications or to develop and include new operators. Finally, it offers the unique new feature of a dynamic generation gap. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1136814. 	[Title] A Comparative Study of Genetic Search [Abstract] We present a comparative study of genetic algorithms and their search properties when treated as a combinatorial optimization technique. This is done in the context of the NP-hard problem MAX-SAT, the comparison being relative to the Metropolis process, and by extension, simulated annealing. Our contribution is two-fold. First, we show that for large and difficult MAX-SAT instances, the contribution of cross-over to the search process is marginal. Little is lost if it is dispensed altogether, running mutation and selection as an enlarged Metropolis process. Second, we show that for these problem instances, genetic search consistently performs worse than simulated annealing when subject to similar resource bounds. The correspondence between the two algorithms is made more precise via a decomposition argument, and provides a framework for interpreting our results. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #39474. 	[Title] Simulated Annealing for Hard Satisfiability Problems [Abstract] Satisfiability (SAT) refers to the task of finding a truth assignment that makes an arbitrary boolean expression true. This paper compares a simulated annealing algorithm (SASAT) with GSAT (Selman et al., 1992), a greedy algorithm for solving satisfiability problems. GSAT can solve problem instances that are extremely difficult for traditional satisfiability algorithms. Results suggest that SASAT scales up better as the number of variables increases, solving at least as many hard SAT problems with less effort. The paper then presents an ablation study that helps to explain the relative advantage of SASAT over GSAT. Finally, an improvement to the basic SASAT algorithm is examined, based on a random walk suggested by Selman et al. (1993). Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #577331. 	[Title] Multi-parent's niche: n-ary crossovers on NK-landscapes [Abstract] Using the multi-parent diagonal and scanning crossover in GAs reproduction operators obtain an adjustable arity. Hereby sexuality becomes a graded feature instead of a Boolean one. Our main objective is to relate the performance of GAs to the extent of sexuality used for reproduction on less arbitrary functions then those reported in the current literature. We investigate GA behaviour on Kauffman's NK-landscapes that allow for systematic characterization and user control of ruggedness of the fitness landscape. We test GAs with a varying extent of sexuality, ranging from asexual to 'very sexual'. Our tests were performed on two types of NK-landscapes: landscapes with random and landscapes with nearest neighbour epistasis. For both landscape types we selected landscapes from a range of ruggednesses. The results confirm the superiority of (very) sexual recombination on mildly epistatic problems. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #646836. 	[Title] Raising GA Performance by Simultaneous Tuning of Selective Pressure and Recombination Disruptiveness [Abstract] In many Genetic Algorithms applications the objective is to find a (near-)optimal solution using a limited amount of computation. Given these requirements it is difficult to find a good balance between exploration and exploitation. Usually such a balance is found by tuning the various parameters (like the selective pressure, population size, the mutation- and crossover rate) of the Genetic Algorithm. As an alternative we propose simultaneous tuning of the selective pressure and the disruptiveness of the recombination operators. Our experiments show that the combination of a proper selective pressure and a highly disruptive recombination operator yields superior performance. The reduction mechanism used in a Steady-State GA has a strong influence on the optimal crossover disruptiveness. Using the worst fitness deletion strategy the building blocks present in the current best individuals are always preserved. This releases the crossover operator from the burden to maintain good building blocks and allows us to tune crossover disruptiveness to improve the search for better individuals. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #84021. 	[Title] Using Genetic Algorithms for Supervised Concept Learning [Abstract] Genetic Algorithms (GAs) have traditionally been used for non-symbolic learning tasks. In this chapter we consider the application of a GA to a symbolic learning task, supervised concept learning from examples. A GA concept learner (GABL) is implemented that learns a concept from a set of positive and negative examples. GABL is run in a batch-incremental mode to facilitate comparison with an incremental concept learner, ID5R. Preliminary results support that, despite minimal system bias, GABL is an effective concept learner and is quite competitive with ID5R as the target concept increases in complexity. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1134022. 	[Title] As mentioned in the introduction, an encod-ing/crossover pair makes a spectrum of geographical linkages. A [Abstract] It is open as to which chromosomal dimension performs best. Although higher-dimensional encodings (whether real or imaginary) can preserve more geographical gene linkages, we suspect that too high a dimension would not perform desirably. We are studying the question of which dimension of encoding is best for a given instance. It is likely that the optimal dimension is somehow dependent on the chromosome size and the input graph topology; interactions with the flexibility of crossover are yet unknown. The interaction of these considerations with the number of cuts used in the crossover is also an open issue. * In relocating genes onto a multi-dimensional chromosome, the simplest way is via a sequential assignment such as row-major order. Section 4 showed that performance improves when a DFS-row-major reembedding is used for two- and three-dimensional encodings. We suspect that this phenomenon will be consistent for higher-dimensional cases, and hope to perform more detailed investigations in the future. Although DFS reordering proved to be helpful for both linear encodings [19] and multi-dimensional encodings, we do not believe DFS-row-major reembedding is a good approach for the multi-dimensional cases since the row-major embedding is so simplistic. We are considering alternative 2-dimensional and 3-dimensional reembeddings which will hopefully provide further improvement. [4] T. N. Bui and B. R. Moon. Hyperplane synthesis for genetic algorithms. In Fifth International Conference on Genetic Algorithms, pages 102-109, July 1993. [5] T. N. Bui and B. R. Moon. Analyzing hyperplane synthesis in genetic algorithms using clustered schemata. In International Conference on Evolutionary Computation, Oct. 1994. Lecture Notes in Computer Science, 866:108-118, Springer-Verlag. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #503883. 	[Title] Genetic algorithms with multi-parent recombination [Abstract] In this paper we investigate genetic algorithms where more than two parents are involved in the recombination operation. In particular, we introduce gene scanning as a reproduction mechanism that generalizes classical crossovers, such as n-point crossover or uniform crossover, and is applicable to an arbitrary number (two or more) of parents. We performed extensive tests for optimizing numerical functions, the TSP and graph coloring to observe the effect of different numbers of parents. The experiments show that 2-parent recombination is outperformed when using more parents on the classical DeJong functions. For the other problems the results are not conclusive, in some cases 2 parents are optimal, while in some others more parents are better. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #44368. 	[Title] Using Problem Generators to Explore the Effects of Epistasis [Abstract] In this paper we develop an empirical methodology for studying the behavior of evolutionary algorithms based on problem generators. We then describe three generators that can be used to study the effects of epistasis on the performance of EAs. Finally, we illustrate the use of these ideas in a preliminary exploration of the effects of epistasis on simple GAs. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #576725. 	[Title] How good are genetic algorithms at finding large cliques: an experimental study [Abstract] This paper investigates the power of genetic algorithms at solving the MAX-CLIQUE problem. We measure the performance of a standard genetic algorithm on an elementary set of problem instances consisting of embedded cliques in random graphs. We indicate the need for improvement, and introduce a new genetic algorithm, the multi-phase annealed GA, which exhibits superior performance on the same problem set. As we scale up the problem size and test on "hard" benchmark instances, we notice a degraded performance in the algorithm caused by premature convergence to local minima. To alleviate this problem, a sequence of modifications are implemented ranging from changes in input representation to systematic local search. The most recent version, called union GA, incorporates the features of union cross-over, greedy replacement, and diversity enhancement. It shows a marked speed-up in the number of iterations required to find a given solution, as well as some improvement in the clique size found. We discuss issues related to the SIMD implementation of the genetic algorithms on a Thinking Machines CM-5, which was necessitated by the intrinsically high time complexity (O(n 3 )) of the serial algorithm for computing one iteration. Our preliminary conclusions are: (1) a genetic algorithm needs to be heavily customized to work "well" for the clique problem; (2) a GA is computationally very expensive, and its use is only recommended if it is known to find larger cliques than other algorithms; (3) although our customization effort is bringing forth continued improvements, there is no clear evidence, at this time, that a GA will have better success in circumventing local minima. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1131359. 	[Title] Comparison of the SAW-ing Evolutionary Algorithm and the Grouping Genetic Algorithm for Graph Coloring 1 [Abstract] 1 This report is also available through http://www.wi.leidenuniv.nl/~gusz/ sawvsgga.ps.gz Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1131360. 	[Title] Solving Combinatorial Problems Using Evolutionary Algorithms [Abstract]  Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #694759. 	[Title] An Evolutionary Approach to Vector Quantizer Design [Abstract] Vector quantization is a lossy coding technique for encoding a set of vectors from different sources such as image and speech. The design of vector quantizers that yields the lowest distortion is one of the most challenging problems in the field of source coding. However, this problem is known to be difficult [3]. The conventional solution technique works through a process of iterative refinements which yield only locally optimal results. In this paper, we design and evaluate three versions of genetic algorithms for computing vector quantizers. Our preliminary study with Gaussian-Markov sources showed that the genetic approach outperforms the conventional technique in most cases. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1131374. 	[Title] An Empirical Investigation of Multi-Parent Recombination Operators in Evolution Strategies [Abstract]  Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1103985. 	[Title] HGA: A Hardware-Based Genetic Algorithm [Abstract] A genetic algorithm (GA) is a robust problem-solving method based on natural selection. Hardware's speed advantage and its ability to parallelize offer great rewards to genetic al gorithms. Speedups of 1-3 orders of magnitude have been observed when frequently used software routines were im plemented in hardware by way of reprogrammable field-pro grammable gate arrays (FPGAs). Reprogrammability is es sential in a general-purpose GA engine because certain GA modules require changeability (e.g. the function to be opti mized by the GA). Thus a hardware-based GA is both feasi ble and desirable. A fully functional hardware-based genetic algorithm (the HGA) is presented here as a proof-of-concept system. It was designed using VHDL to allow for easy scala bility. It is designed to act as a coprocessor with the CPU of a PC. The user programs the FPGAs which implement the function to be optimized. Other GA parameters may also be specified by the user. Simulation results and performance analyses of the HGA are presented. A prototype HGA is de scribed and compared to a similar GA implemented in soft ware. In the simple tests, the prototype took about 6% as many clock cycles to run as the software-based GA. Further suggested improvements could realistically make the HGA 2-3 orders of magnitude faster than the software-based GA. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #646900. 	[Title] Evaluating and Improving Steady State Evolutionary Algorithms on Constraint Satisfaction Problems [Abstract]  Please summarise all the given information.

Paper #647413 has the title `Solving 3-SAT by GAs Adapting Constraint Weights  
` and the abstract `Handling NP complete problems with GAs is a great challenge. In particular the presence of constraints makes finding solutions hard for a GA. In this paper we present a problem independent constraint handling mechanism, Stepwise Adaptation of Weights (SAW), and apply it for solving the 3-SAT problem. Our experiments prove that the SAW mechanism substantially increases GA performance. Furthermore, we compare our SAW-ing GA with the best heuristic technique we could trace, WGSAT, and conclude that the GA is superior to the heuristic method. 
`.
Question: Which category should Paper #647413 be classified as ?
You can select one from ['Neural_Networks', 'Case_Based', 'Theory', 'Reinforcement_Learning', 'Probabilistic_Methods', 'Rule_Learning', 'Genetic_Algorithms'].


Paper #647413 has the title `Solving 3-SAT by GAs Adapting Constraint Weights  
` and the abstract `Handling NP complete problems with GAs is a great challenge. In particular the presence of constraints makes finding solutions hard for a GA. In this paper we present a problem independent constraint handling mechanism, Stepwise Adaptation of Weights (SAW), and apply it for solving the 3-SAT problem. Our experiments prove that the SAW mechanism substantially increases GA performance. Furthermore, we compare our SAW-ing GA with the best heuristic technique we could trace, WGSAT, and conclude that the GA is superior to the heuristic method. 
`.
Question: Which category should Paper #647413 be classified as ?
You can select one from ['Neural_Networks', 'Case_Based', 'Theory', 'Reinforcement_Learning', 'Probabilistic_Methods', 'Rule_Learning', 'Genetic_Algorithms'].

This paper should be classified into: Genetic_Algorithms