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+package de.lmu.ifi.dbs.elki.utilities.scaling.outlier;
+/*
+This file is part of ELKI:
+Environment for Developing KDD-Applications Supported by Index-Structures
+
+Copyright (C) 2011
+Ludwig-Maximilians-Universität München
+Lehr- und Forschungseinheit für Datenbanksysteme
+ELKI Development Team
+
+This program is free software: you can redistribute it and/or modify
+it under the terms of the GNU Affero General Public License as published by
+the Free Software Foundation, either version 3 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU Affero General Public License for more details.
+
+You should have received a copy of the GNU Affero General Public License
+along with this program. If not, see <http://www.gnu.org/licenses/>.
+*/
+
+import de.lmu.ifi.dbs.elki.database.ids.DBID;
+import de.lmu.ifi.dbs.elki.result.outlier.OutlierResult;
+import de.lmu.ifi.dbs.elki.utilities.documentation.Reference;
+
+/**
+ * Scaling function to invert values basically by computing 1/x, but in a variation
+ * that maps the values to the [0:1] interval and avoiding division by 0.
+ *
+ * The exact formula can be written as
+ *
+ * 1 / (value * max_{x!=0}(1 / abs(x))) = min_{x != 0}(abs(x)) / x
+ *
+ * with 1 / 0 := 1
+ *
+ * @author Erich Schubert
+ */
+@Reference(authors="H.-P. Kriegel, P. Kröger, E. Schubert, A. Zimek", title="Interpreting and Unifying Outlier Scores", booktitle="Proc. 11th SIAM International Conference on Data Mining (SDM), Mesa, AZ, 2011", url="http://www.dbs.ifi.lmu.de/~zimek/publications/SDM2011/SDM11-outlier-preprint.pdf")
+public class MultiplicativeInverseScaling implements OutlierScalingFunction {
+ /**
+ * Constructor, adhering to
+ * {@link de.lmu.ifi.dbs.elki.utilities.optionhandling.Parameterizable}
+ */
+ public MultiplicativeInverseScaling() {
+ super();
+ }
+
+ /**
+ * Scaling value, set by {@link #prepare}.
+ */
+ double scaleval = 0;
+
+ @Override
+ public double getScaled(double value) {
+ assert (scaleval != 0) : "prepare() was not run prior to using the scaling function.";
+ try {
+ return 1.0 / (value * scaleval);
+ }
+ catch(ArithmeticException e) {
+ return 1.0;
+ }
+ }
+
+ @Override
+ public void prepare(OutlierResult or) {
+ scaleval = getScaleValue(or);
+ }
+
+ /**
+ * Compute the scaling value in a linear scan over the annotation.
+ *
+ * @param or Outlier result
+ * @return Scaling value.
+ */
+ private static double getScaleValue(OutlierResult or) {
+ double max = Double.MIN_VALUE;
+ for(DBID id : or.getScores().iterDBIDs()) {
+ double val = or.getScores().get(id);
+ double inv = Math.abs(1.0 / val);
+ if(!Double.isInfinite(inv) && !Double.isNaN(inv)) {
+ max = Math.max(max, inv);
+ }
+ }
+ return max;
+ }
+
+ @Override
+ public double getMin() {
+ return 0.0;
+ }
+
+ @Override
+ public double getMax() {
+ return 1.0;
+ }
+} \ No newline at end of file