title: Multiclass alternating decision trees

authors: Holmes, Geoffrey

subjects: computer science

abstract: The alternating decision tree (ADTree) is a successful classification technique that combines decision trees with the predictive accuracy of boosting into a set of interpretable classification rules. The original formulation of the tree induction algorithm restricted attention to binary classification problems. This paper empirically evaluates several wrapper methods for extending the algorithm to the multiclass case by splitting the problem into several two-class problems. Seeking a more natural solution we then adapt the multiclass LogitBoost and AdaBoost.MH procedures to induce alternating decision trees directly. Experimental results confirm that these procedures are comparable with wrapper methods that are based on the original ADTree formulation in accuracy, while inducing much smaller trees.

text: Multiclass alternating decision trees The alternating decision tree (ADTree) is a successful classification technique that combines decision trees with the predictive accuracy of boosting into a set of interpretable classification rules. The original formulation of the tree induction algorithm restricted attention to binary classification problems. This paper empirically evaluates several wrapper methods for extending the algorithm to the multiclass case by splitting the problem into several two-class problems. Seeking a more natural solution we then adapt the multiclass LogitBoost and AdaBoost.MH procedures to induce alternating decision trees directly. Experimental results confirm that these procedures are comparable with wrapper methods that are based on the original ADTree formulation in accuracy, while inducing much smaller trees.

year: 2002

title: Series solutions for the Dirac equation in Kerr–Newman space-time

authors: Kalnins, Ernie G.

subjects: Mathematics

abstract: The Dirac equation is solved for an electron in a Kerr–Newman geometry using an adaptation of the procedure of Chandrasekhar. The corresponding eigenfunctions obtained can be represented as series of Jacobi polynomials. The spectrum of eigenvalues can be calculated using continued fraction techniques. Representations for the eigenvalues and eigenfunctions are obtained for various ranges of the parameters appearing in the Kerr–Newman metric. Some comments concerning the bag model of nucleons are made.

text: Series solutions for the Dirac equation in Kerr–Newman space-time The Dirac equation is solved for an electron in a Kerr–Newman geometry using an adaptation of the procedure of Chandrasekhar. The corresponding eigenfunctions obtained can be represented as series of Jacobi polynomials. The spectrum of eigenvalues can be calculated using continued fraction techniques. Representations for the eigenvalues and eigenfunctions are obtained for various ranges of the parameters appearing in the Kerr–Newman metric. Some comments concerning the bag model of nucleons are made.

year: 1992-01

title: Turangawaewae/ Tu'ungava'e: Echoes of a place to stand and belong

authors: Brown Pulu, Teena J.

subjects: Maori

abstract: This paper examines the ways in which Pacific communities in Auckland are located and conceptualised by others in contrast to the ways in which they locate and conceptualise themselves. In particular, it looks at the ways in which, in the face of homeland fracture and socio-economic marginality, neighbourhoods are being reclaimed as places of belonging-ness, places in which informal alliances among Māori and Pacific groups are being forged. It also explores the problematic, often ambiguous, nature of these alliances.

text: Turangawaewae/ Tu'ungava'e: Echoes of a place to stand and belong This paper examines the ways in which Pacific communities in Auckland are located and conceptualised by others in contrast to the ways in which they locate and conceptualise themselves. In particular, it looks at the ways in which, in the face of homeland fracture and socio-economic marginality, neighbourhoods are being reclaimed as places of belonging-ness, places in which informal alliances among Māori and Pacific groups are being forged. It also explores the problematic, often ambiguous, nature of these alliances.

year: 2002-09