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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Machine learning 24 (1996), S. 141-168 
    ISSN: 0885-6125
    Keywords: Concept learning ; multi-strategy learning ; rule induction ; instance-based learning ; nearest-neighbor classification ; case-based reasoning
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Several well-developed approaches to inductive learning low exist, but each has specific limitations that are hard to overcome. Multi-strategy learning attempts to tackle this problem combining multiple methods in one algorithm. This article describes a unification of two widely-used empirical approaches: rule induction and instance-based learning. In the new algorithm, instances are treated as maximally specific rules, and classification is oerformed using a best-match strategy. Rules are learned by gradually generalizing instances until no improvement in apparent accuracy is obtained. Theoretical analysis shows this approach to be efficient. It is implemented in the RISE 3.1 system. In an extensive empirical study, RISE consistently achieves higher accuracies than state-of-the-art representatives of both its parent approaches (PEBLS and CN2), as well as a decision tree learner (C4.5). Lesion studies show that eachoof RISE's components is essential to this performance. Most significantly, in 14 of the 30 domains studied, RISE is more accurate than the best of PEBLS and CN2, showing that a significant synergy can be obtained by combining multiple empirical methods.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 60 (1990), S. 137-166 
    ISSN: 1572-9613
    Keywords: Coulomb gas ; Kosterlitz-Thouless phase
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We give a rigorous proof of power-law falloff in the Kosterlitz-Thouless phase of a two-dimensional Coulomb gas in the sense that there exists a critical inverse temperaturegb and a constant Θ〉0 such that for allβ〉β and all external charges ξ∈R we have $$G_\xi (x) \leqslant C/|x|^{\Theta \beta \eta ^2 } $$ , whereG ξ (x) is the two-point external charges correlation function,η=dist(ξ, Z), and $$C = C(\beta , \bar \eta )〈 \infty $$ for $$\bar \eta = dist (\xi , Z - \{ 0\} ) 〉 0$$ . In the case of a hard-core or standard Coulomb gas with activityz, we may chooseβ=β(z) such thatβ(z)→24π asz↘0.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Machine learning 24 (1996), S. 141-168 
    ISSN: 0885-6125
    Keywords: Concept learning ; multi-strategy learning ; rule induction ; instance-based learning ; nearest-neighbor classification ; case-based reasoning
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Several well-developed approaches to inductive learning now exist, but each has specific limitations that are hard to overcome. Multi-strategy learning attempts to tackle this problem by combining multiple methods in one algorithm. This article describes a unification of two widely-used empirical approaches: rule induction and instance-based learning. In the new algorithm, instances are treated as maximally specific rules, and classification is performed using a best-match strategy. Rules are learned by gradually generalizing instances until no improvement in apparent accuracy is obtained. Theoretical analysis shows this approach to be efficient. It is implemented in the RISE 3.1 system. In an extensive empirical study, RISE consistently achieves higher accuracies than state-of-the-art representatives of both its parent approaches (PEBLS and CN2), as well as a decision tree learner (C4.5). Lesion studies show that each of RISE‘s components is essential to this performance. Most significantly, in 14 of the 30 domains studied, RISE is more accurate than the best of PEBLS and CN2, showing that a significant synergy can be obtained by combining multiple empirical methods.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 61 (1990), S. 909-911 
    ISSN: 1572-9613
    Keywords: Coulomb gas ; Kosterlitz-Thouless phase ; power-law falloff ; critical temperature ; multiscale analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A simple argument is presented by which one can show that the critical inverse temperatureβ c of a two-dimensional Coulomb gas (standard or hard-core) with activityz satisfies $$\beta _c \leqslant \mathop \beta \limits^ - $$ , where $$\mathop \beta \limits^ - = \mathop \beta \limits^ - (z) \to (1 + \sqrt 3 ) 8\pi /(3 - \sqrt 3 )$$ in the low-activity limit. Previous results yield $$\mathop \beta \limits^ - (z) \to 24\pi $$ .
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 64 (1991), S. 135-162 
    ISSN: 1572-9613
    Keywords: Coulomb gas ; Kosterlitz-Thouless phase ; critical temperature ; multiscale analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We consider two-dimensional Coulomb gases (standard or hard-core) with activityz, and prove that for any β〉8π the two-point external charges correlation function exhibits the power-law falloff characteristic of the Kosterlitz-Thouless phase at sufficiently low activity.
    Type of Medium: Electronic Resource
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