gbm: gbm.roc.area – R documentation

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gbm.roc.area

Compute Information Retrieval measures.

Description

Functions to compute Information Retrieval measures for pairwise loss for a single group. The function returns the respective metric, or a negative value if it is undefined for the given group.

Usage

gbm.roc.area(obs, pred)

gbm.conc(x)

ir.measure.conc(y.f, max.rank = 0)

ir.measure.auc(y.f, max.rank = 0)

ir.measure.mrr(y.f, max.rank)

ir.measure.map(y.f, max.rank = 0)

ir.measure.ndcg(y.f, max.rank)

perf.pairwise(y, f, group, metric = "ndcg", w = NULL, max.rank = 0)

Arguments

`obs`	Observed value.
`pred`	Predicted value.
`x`	Numeric vector.
`y, y.f, f, w, group, max.rank`	Used internally.
`metric`	What type of performance measure to compute.

Details

For simplicity, we have no special handling for ties; instead, we break ties randomly. This is slightly inaccurate for individual groups, but should have only a small effect on the overall measure.

gbm.conc computes the concordance index: Fraction of all pairs (i,j) with i<j, x[i] != x[j], such that x[j] < x[i]

If obs is binary, then gbm.roc.area(obs, pred) = gbm.conc(obs[order(-pred)]).

gbm.conc is more general as it allows non-binary targets, but is significantly slower.

Value

The requested performance measure.

Author(s)

Stefan Schroedl

References

C. Burges (2010). "From RankNet to LambdaRank to LambdaMART: An Overview", Microsoft Research Technical Report MSR-TR-2010-82.